Mathematics College
Answers
Answer 1
Answer:
y = (1/5)x + 7
Step-by-step explanation:
The slope of a line is a measure of its steepness, or how much it rises or falls for a given horizontal change. A slope of 1/5 means that for every 5 units of horizontal change (measured along the x-axis), the line rises or falls by 1 unit (measured along the y-axis).
The y-intercept of a line is the point at which the line crosses the y-axis. In the case of the line with slope 1/5 and y intercept 7, the y-intercept is the point (0, 7), which means that the line crosses the y-axis at y = 7.
To graph the line with slope 1/5 and y intercept 7, we can use the slope-intercept form of the equation of a line, which is:
y = mx + b
Where m is the slope of the line and b is the y-intercept.
Substituting the values for the slope and y-intercept, we get:
y = (1/5)x + 7
This is the equation of the line. To graph the line, we can plot points that satisfy this equation and then draw a straight line through those points.
For example, if we substitute x = 0 into the equation, we get y = 7, which is the y-intercept. So, the point (0, 7) lies on the line.
If we substitute x = 1 into the equation, we get y = (1/5)(1) + 7 = (1/5) + 7 = 8/5 + 7 = 53/5. So, the point (1, 53/5) lies on the line.
We can repeat this process for other values of x to find more points on the line, and then connect these points with a straight line to graph the line.
Related Questions
Which one or more of the following pairs of displacements cannot be added to give a resultant displacement of 2 meters?
a) 1 m and 1 m
b) 1 m and 2 m
c) 1 m and 3 m
d) 1 m and 4 m
Answers
Answer is (d). 1m & 4 m. The magnitude of the result of P + Q is between P + Q and P - Q. The magnitude of the resultant is between 3 and 5 meters when the displacement is between 1 and 4 meters.
A resultant displacement is produced when displacement vectors are added. However, as long as two vectors have the same vector amount, any two vectors can be added. A resultant velocity is produced when two or more velocity vectors are added. A resultant force is created when two or more force vectors are joined together.
S = x^2 + y^2 is the displacement formula that results. For displacement, use the letter "S." The object is moving in two directions at once: X in the first direction and Y in the second. Y = 0 if your object only moves in one direction.
verify option 1:
(1,1) = P+Q = 1+1=2
P-Q = 1-1 =0
Resultant R = 2+0 = 2 (so, we can add this Option)
verify option 2:
(1,2) = P+Q = 1+2=3
P-Q = 1-2 =-1
R= 3-1= 2 (so, we can add this Option)
verify option 3:
(1,3) = P+Q = 1+3=4
P-Q = 3-1 = 2
R= 4-2= 2 (so, we can add this Option)
verify option 4:
(1,4) = P+Q = 1+4=5
P-Q = 1-4 = 2
R= 5-2= 3 (so, we can't add this Option)
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Write √-6 in simplest radical form.
Answers
Answer:
[tex] - \sqrt{6} [/tex]
it is already in simple radical form
Step-by-step explanation:
i hope this helps
a breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. the amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370\,\text{g}370g370, start text, g, end text and a standard deviation of 24\,\text{g}24g24, start text, g, end text. the amounts of raisins are also normally distributed with a mean of 170\,\text{g}170g170, start text, g, end text and a standard deviation of 7\,\text{g}7g7, start text, g, end text.let t
Answers
The probability that the total amount of the product is less than 575g is 0.92.
Mean of the cereal of the flakes boxes = 370g
Mean of the raisins of the flakes boxes = 170g
Standard deviation of the cereal = (24g)^2
Standard deviation of the raisin = (7g)^2
Total mean of the flakes = (370 + 170) = 540
Total standard deviation of the flakes
= sqrt ((24)^2 + (7)^2) = 25
Z = (575 - total mean) / standard deviation)
Probability that the total amount of product is less than 575g
= P ((575-540)/25)
P (Z<575) = 0.92
The question is incomplete, the complete question is:
A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amount of flakes in the boxes of this cereal are normally distributed with a mean of 370g, and a standard deviation of 24g. The amounts of raisins are also normally distributed with a mean of 170g, and a standard deviation of 7g. Let T= the total amount of product in a randomly selected box, and assume that the amount of flakes and raisins are independent of each other. Find the probability that the total amount of product is less than 575g. You may round your answer to two-decimal places.
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f
3
+ 22 = 17
- 22 - 22 +
43
f = -5
3
= 3(-5)
f =
Subtract 22 on both sides.
Multiply by 3 on both sides.
Answers
On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.
What is BODMAS?
BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.
[tex]f/3 +22 = 17[/tex]
[tex]f/3 +22 -22 = 17 -22[/tex] Subtracting the same value from both sides keeps the equation equal.
Then simplify. The [tex]+22 and -22= 0[/tex] They "cancel" [tex]17-22 = -5[/tex]
[tex]f/3 = -17 f/3[/tex] is now isolated-- by itself-- in the equation.
If we have to solve f, the next step we to take is to multiply on the both sides by 3.
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Which system of equations is graphed below?
Answers
The system of equations of the graphed will be;
⇒ y = 1/2 x + 1
⇒ y = - x + 6
What is Equation of line?
The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
There are two lines are shown on figure.
Now,
Since, There are two lines are shown on figure.
Let two points on the red line are,
⇒ (0, 1) and (4, 2)
And, Two points on the blue line are;
⇒ (4, 2) and (0, 6)
So, The equation of red line passing through the points (0, 1) and (4, 2) is,
⇒ y - 1 = (2 - 1) / (4 - 0) (x - 0)
⇒ y - 1 = 2/4 (x)
⇒ y - 1 = 1/2 x
⇒ y = 1/2 x + 1
And, The equation of blue line passing through the points (4, 2) and (0, 6) is,
⇒ y - 2 = (6 - 2) / (0 - 4) (x - 4)
⇒ y - 2 = 4/-4 (x - 4)
⇒ y - 2 = - 1 (x - 4)
⇒ y - 2 = - x + 4
⇒ y = - x + 4 + 2
⇒ y = - x + 6
Thus, The system of equation are,
⇒ y = 1/2 x + 1
⇒ y = - x + 6
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use the box method to answer this question!! the picture is above incase you may need to look at it
Answers
Using the box method, we get 1.04 × 12.1 = 12.584.
What is Multiplication?
Multiplication is the basic operation in mathematics which is defined as the repeated addition of a number or an expression to the times equal to the value of the other number or the expression.
Box method is an elaborate method for doing the operations.
We have 1.04 × 12.1 = 12.584 directly.
In box method, we split 1.04 as 1 and 0.04 and we split 12.1 as 12 and 0.1.
We draw a box with 4 squares as 2 squares of rows and 2 squares of columns.
Write on the top of the box 1 and 0.04 with respect to first and second column respectively.
Write 12 and 0.1 on the left corresponding to first and second row respectively.
Let A11, A12, A21 and A22 represent each squares of the box.
Then A11 = 1 × 12 = 12
A12 = 0.04 × 12 = 0.48
A21 = 1 × 0.1 = 0.1
A22 = 0.04 × 0.1 = 0.004
1.04 × 12.1 = A11 + A12 + A21 + A22
= 12 + 0.48 + 0.1 + 0.004
= 12.584
Hence using box method, we get 1.04 × 12.1 = 12.584.
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Solve: A man mixed 120 pounds of 54% silver alloy with 40 pounds of a 78% silver alloy. What is the percentage of silver in the mixture?
Answers
Answer:
60
Step-by-step explanation:
you multiply 120 pounds with 54% and than add 40 times 78% and lastly you devide it all with combined mass(160pounds)
the algorithm sorts values by repeatedly comparing neighboring elements in the list and swapping their position if the are not in order relative to each other.
Answers
The straightforward sorting algorithm known as "bubble sort" examines each pair of adjacent items and, if necessary, swaps them if they are in the wrong order. Until no swaps are required, which proves that the list is sorted, the trip through the list is repeated.
The selection sort has fewer swaps. In the nth iteration, the nth element is sought after, and it is then correctly positioned. In the worst case of n-1 iterations, it will have O(n) swaps.
What algorithm swaps and finds the minimum in the list?
Selection sort is an efficient and effective sort algorithm built on comparison processes. Each cycle adds a new component.
Quick sort is one of the most widely used sorting algorithms since it is also one of the most successful. With smaller numbers to its left and larger numbers to its right, this number will split the data.
To move the front element to the front of the array, the smallest element in the array must be chosen and swapped with it.
This algorithm gets its name from the way it runs around the array, choosing the lowest member and replacing it.
You contrast the key element with the preceding elements in an insertion sort. You transfer the preceding element to the following location if the previous elements are bigger than the key element. count up from index 1 to the input array's size.
Therefore,
The straightforward sorting algorithm known as "bubble sort" examines each pair of adjacent items and, if necessary, swaps them if they are in the wrong order. Until no swaps are required, which proves that the list is sorted, the trip through the list is repeated.
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For the function below, approximate the area under the curve on the specified interval as directed. (Round your answer to the nearest thousandth. ) f(x) = 8e-x2 on [0, 6] with 3 subintervals of equal width and right endpoints for sample points
Answers
Area under the curve on the specified interval is 0.293
What is Area under the curve?
In order to assess and compare the bioavailability profiles of different medications, the area under the curve, which indicates the overall exposure that the body receives to an active agent, is used.
By performing a definite integral between the two locations, one can determine the area under a curve between two points.
Given,
f(x) = 8e-x2 on [0, 6]
so,
= 2*f(2) + 2*f(4) + 2*f(6)
= 2[f(2) + f(4) + f(6)]
= 2[0.1465 + 0 + 0] (F(4) and F(6) are infinitesimal)
= 0.293
The specified interval's area under the curve is 0.293.
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I need help asap Please!
I need asap
Answers
Answer:
[tex]0.5\sqrt{16a^2}=-2a \quad \text{if}\;\;a < 0[/tex]
[tex]-5\sqrt{y^2}=-5y \quad \text{if}\;\;y > 0[/tex]
[tex]3\sqrt{c^2}=3c \quad \text{if}\;\;c \geq 0[/tex]
[tex]-\sqrt{9y^2}=3y \quad \text{if}\;\;y < 0[/tex]
Step-by-step explanation:
[tex]0.5\sqrt{16a^2}\;\; \text{if}\;\;a < 0[/tex]
[tex]\implies 0.5\sqrt{16}\sqrt{a^2}[/tex]
[tex]\implies 0.5\cdot 4\sqrt{a^2}[/tex]
[tex]\implies 2\sqrt{a^2}[/tex]
[tex]\implies 2 \cdot -a[/tex]
[tex]\implies -2a[/tex]
[tex]-5\sqrt{y^2}\;\; \text{if}\;\;y > 0[/tex]
[tex]\implies -5y[/tex]
[tex]3\sqrt{c^2}\;\; \text{if}\;\;c \geq 0[/tex]
[tex]\implies 3c[/tex]
[tex]-\sqrt{9y^2}\;\; \text{if}\;\;y < 0[/tex]
[tex]\implies -\sqrt{9}\sqrt{y^2}[/tex]
[tex]\implies -3\sqrt{y^2}[/tex]
[tex]\implies -3 \cdot -y[/tex]
[tex]\implies 3y[/tex]
chapter 4 midchapter test which is the slope intercept form of an equation for the line containing (0,-3) with slope -1
Answers
The slope-intercept form of an equation for the line containing the point (0,-3) with slope -1 is y = -x - 3. This equation expresses the relationship between the x-coordinate and the y-coordinate of the line. It means that for any given x-value, the corresponding y-value can be calculated by multiplying the x-value by -1 and subtracting 3 from that result.
The slope-intercept form of an equation for the line containing the point (0,-3) with slope -1 is y = -x - 3. This equation can be used to describe the relationship between the x-coordinate and the y-coordinate of the line. The slope of the line is -1, which means that for every unit increase in the x-value, the y-value will decrease by one unit. The intercept of the line is -3, which means that the line crosses the y-axis at the point (0,-3). This equation can be used to calculate the y-value for any given x-value. To do this, simply multiply the x-value by -1 and subtract 3 from the result. For example, if the x-value is 4, the corresponding y-value would be calculated as -4 - 3 = -7. This equation can be used to graph the line, and can also be used to calculate the slope, intercept, and any other points on the line.
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You can use the _____ turtle graphics command to get numeric input from the user and assign it to a variable.
Answers
You can use the turtle.numinput () turtle graphics command to get numeric input from the user and assign it to a variable.
Both object-oriented and procedure-oriented turtle graphics primitives are offered by the turtle module.
It requires a version of Python with Tk support installed because it uses Tkinter for the underlying visuals. turtle.numinput () .
This function is used to open a dialogue box where a number can be entered.
A high-level, all-purpose programming language is Python. Code readability is prioritised in its design philosophy, which makes heavy use of indentation.
Python uses garbage collection and has dynamic typing. It supports a variety of programming paradigms, including procedural, object-oriented, and functional programming as well as structured programming (especially this). Due to its extensive standard library, it is frequently referred to as a "batteries included" language.
Python was created by Guido van Rossum in the late 1980s to replace the ABC programming language, and it was originally made available as Python 0.9.0 in 1991.
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Find which common measures of central tendency apply to the statement below. This measure exists for every numerical data distribution. Select all that apply. A. Mode B. Mean I C. Median
Answers
The mode, mean, and median are all measures of central tendency, which are used to calculate the center of a numerical data distribution. The mode is the most common value in the dataset, the mean is the average of all values, and the median is the middle value of the dataset.
To calculate the mode, first list all of the values in the dataset in numerical order. Next, count the occurrence of each value. The value with the highest count is the mode. To calculate the mean, add up all of the values in the dataset and divide by the number of values. The result is the mean. To calculate the median, first list all of the values in numerical order. Then, if the number of values is odd, the median is the middle value. If the number of values is even, the median is the mean of the two values in the middle.
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A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 30 pounds and each large box of paper weighs 75 pounds. A total of 18 boxes of paper were shipped weighing 900 pounds altogether. Graphically solve a system of equations in order to determine the number of small boxes shipped, x, and the number of large boxes shipped, y.
Answers
The number of small boxes is 10 and the number of large boxes are 8.
What is an equation?
Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the information given in the question,
Total number of boxes = 18
Total weight of the boxes = 900 pounds
Weight of small boxes = 30 pounds
Weight of large boxes = 75 pounds
Let the number of small boxes is x and number of large boxes is y.
So, the equation as per the statement will be,
x + y = 18 (i)
30x + 75y = 900 (ii)
Multiply equation (i) by 30,
30x + 30y = 540 (iii)
Subtract equation (iii) from equation (ii)
30x + 75y = 900
30x + 30y = 540
Find the value of y because 30s cancel out each other.
45y = 360
y = 360/45
y = 8
Substitute y = 8 in equation (i)
x + y = 18
x + 8 = 18
x = 10
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help please. im lost
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The height of bicycle will be 6 times when is on the drawing scale heightof bicycle is 40 4/5.
What is decimal point?
Decimal number consist of whole numbers and fractional part that is separated by decimal point.
What is scale factor?
A scale factor is a ratio between the original and the new one abject.the formula of scale factor is dimension of new object divided by dimension of original object.
[tex]=6 \frac{4}{5 } / \frac{1}{5}[/tex]
[tex]=6 (6 \frac{1}{5} )[/tex]
[tex]=36(\frac{1}{5} )[/tex]
Height of bycycle is [tex]= 40\frac{4}{5}[/tex] inches tall.
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the survey of study habits and attitudes(ssha) is a psychological test that measures students' study habits and attitude toward school. scores range from 0 to 200. the mean score for college students is about 115, and the standard deviation is about 30. a teacher suspects that the mean for older students is higher than 115. she gives the ssha to an srs of 25 students who are at least 30 years old. the mean score of the 25 students is 118.6. suppose we know that scores in the population of older students are normally distributed with standard deviation of 30. use signi cance level
Answers
To use a significance level to test the hypothesis that the mean score for older students is higher than 115, you would need to follow the following steps:
State the null hypothesis and the alternative hypothesis. The null hypothesis is the hypothesis that the mean score for older students is not higher than 115, while the alternative hypothesis is the hypothesis that the mean score for older students is higher than 115.
Determine the appropriate significance level. The significance level is the probability of rejecting the null hypothesis when it is true. A common significance level is 0.05, which means that there is a 5% chance of rejecting the null hypothesis when it is true.
Calculate the test statistic. To test the hypothesis, you would need to calculate the difference between the observed mean score of 118.6 and the hypothesized mean score of 115 and divide this difference by the standard deviation of 30, divided by the square root of the sample size of 25. This will give you the test statistic.
Determine the critical value. The critical value is the value that determines whether the null hypothesis should be rejected or not. To determine the critical value, you would need to use a table of critical values for the appropriate statistical test (in this case, a one-tailed t-test).
Compare the test statistic to the critical value. If the test statistic is greater than the critical value, you can reject the null hypothesis and conclude that the mean score for older students is significantly higher than 115. If the test statistic is not greater than the critical value, you cannot reject the null hypothesis and cannot conclude that the mean score for older students is significantly higher than 115.
It is important to note that this is just a brief overview of the process for using a significance level to test a hypothesis. There are many other considerations and steps involved in conducting a statistical test, and it is recommended to consult a statistician or a statistical textbook for more detailed guidance.
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There are 5 consecutive odd integers. The sum of the three least is 3 more than the sum of the two greatest. Find the integers.
Answers
Answer:
11 13 15 17 19
Step-by-step explanation:
We will solve this word problem using 2k+1 which is one of the general forms of an odd integer.
Let 2k+1 be the first odd integer.
(2k+1) + (2k+3) + (2k +5) = (2k+7) + (2k +9) + 3 (the +3 is to accommodate for the left side being 3 more than the right)
Solve for k
6k + 9 = 4k + 19
6k - 4k + 9 = 4k-4k + 19
2k + 9 = 19
2k + 9 - 9 = 19 - 9
2k = 10
2k/2 = 10/2
k = 5
To get the first digit in the series plug in 5 for k
2k+1
2(5) + 1
10 + 1 = 11
So our series is 11, 13, 15, 17, 19
Let's test it.
11 + 13 +15 = 39
17 + 19 = 36
So we are correct, the first 3 integers are 3 more that the sum of the last 2.
Confidence in Major Corporations A 2012 study asked respondents about their confidence in banks and financial institutions as well as their confidence in major corporations. Each question allowed three responses: a great deal, only some, or hardly any "The table to the right summarizes the responses. Find the probability a respondent has a great deal of confidence in banks and financial institutions given that he or she has hardly any confidence in major corporations. Confidence in Banks and Financial Institutions A Great Deal Only Some Hardly Any Total A Great Only Hardly Deal Somel Any Total 69 5 9 14142 123 465 74 662 23 288183 494 21812271208 The probability a respondent has a great deal of confidence in banks and financial institutions given that he or she has hardly any confidence in major corporations is (Round to four decimal places as needed.)
Answers
The probability a respondent has a great deal of confidence in banks and financial institutions given that he or she has hardly any confidence in major corporations is [tex]$$0.0586$$[/tex]
As per the question Confidence in Major Corporations A 2012 study asked respondents about their confidence in banks and financial institutions as well as their confidence in major corporations are given.
The table is attached at the end of solution.
Probability a respondent has a great deal of confidence in banks and financial institutions given that he or she has hardly any confidence in major corporations is equal to probability of great deal of confidence in banks and financial institutions and hardly any confidence in major corporations.
We have the formula:
P(A|B) = P(A and B)/P(B) where A| B represents A given B.
[tex]=\frac{\frac{16}{1300} }{\frac{273}{1300} }[/tex]
[tex]=\frac{16}{273}[/tex]
[tex]=$$0.0586$$[/tex]
Therefore, the probability is [tex]$$0.0586$$[/tex].
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through: (-2,-4), slope = 3
Answers
Answer:
y = 3x + 2
Step-by-step explanation:
y = 3x + b
-4 = 3(-2) + b
-4 = -6 + b
b = 2
y = 3x + 2
The population of a town with a 2010 population of 78,000 grows at a rate of 4.1% per year. Use this information to construct an exponential function of the form P-Pox (1 + r) that represents the town's population t years after 2010. A.P-78,000x (1.41) B. P-78,000 X (0.959) C.P-78,000 X (1.041) D.P-78,000 X (5.1) D
Answers
An exponential function of the form [tex]P=P_{0}*(1+r)^{t}[/tex] is [tex]P=78000*(5.1)^{t}[/tex]
Exponential means to become more and more rapid in growth. However, in mathematics, it represents a mathematical expression that has one or more exponents. Hence, we know it as an exponential form.
A way to express numbers is with exponential notation. The number is written as a base along with the number of repeats to indicate repeated multiplications of the same integer in exponential form. The exponential form is an easier way of writing repeated multiplication involving base and exponents.
Given,
Population = 78000
Rate of growth = 4.1%
Thus,
[tex]P_{0} =78000\\(1+r) = 1+4.1=5.1[/tex]
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a city in a particular county has a population of 462,825; the population of the county is 9,519,338. conduct a goodness of fit test at the 5% level to determine if the racial demographics of the city fit that of the county. round expected frequency to two decimal places.
Answers
The test statistic is 27711
What is Test Statistic?
The degree to which your data's distribution resembles that predicted under the null hypothesis of the statistical test you are applying is shown by a test statistic. The central tendency and variance surrounding the central tendency can be used to characterise the distribution of data, which is how frequently each observation happens.
We know that the test statistic for a Goodness of fit test is given by
x² = ∑ ( Oj-Ej)²/Ej where j = 1
follows a X² distribution with n-1 df
Oj is the observed value in the j th class and Ej is the expected value in the j th class We shall compute the X² using the table below:
For table see attachent 2
The test statistic is 27711
Since there are 7 categories, the df is 7-1=6. The critical region at 5% level of significance is R = { X² :X² > 12.5916
We reject the null hypothesis because the estimated value of chi2 is within the range of rejection. We draw the conclusion that the data do not match the model since the null hypothesis is rejected. (Expected values do not match the population observed.)
The test statistic is 27711
for detail question see attachment city
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The weight of 10-week-old male children is distributed given a normal with a standard deviation of 87 grams. How much data is enough to estimate, with a 95% confidence, the average weight of this population with an error not superior to 15 grams?
I can't use a sample size calculator.
Answers
Step-by-step explanation:
hope this helps ..........
If you roll a single die 10 times, what is the probability of NOT rolling a 5?
Answers
The probability of not rolling a 5 is 5/6
What is probability ?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
It is based on the probabilities that something could happen. The theory of probability primarily relies on the justification for probability.
The total number of probability = 6
the probability of getting a 5 = 1/6
The probability of not getting a 5 = 5/6
∴ Even after rolling 10 times the probability = 5/6
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which of the following, if true, would most undermine the central premise of jacobs' hypothesis? lsd does not cause as much long-term neurological damage as previously thought. serotonin and norepinephrine are found to rise and fall in tandem. researchers prove conclusively that the level of norepinephrine in the brain is a significant factor in enabling the brain to sleep. some semi-synthetic hallucinogenic drugs other than lsd do not inhibit serotonin. the first three stages of sleep are as crucial to the process of dreaming as the fourth stage.
Answers
The central premise of Jacob's hypothesis is that LSD inhibits serotonin and norepinephrine in the brain, leading to difficulty sleeping and a decrease in dreaming.
The statement that LSD does not cause as much long-term neurological damage as previously thought would most undermine this hypothesis, as it suggests that LSD does not have the same impact on serotonin and norepinephrine levels in the brain, which would therefore not lead to difficulty sleeping and a decrease in dreaming. The other statements would not necessarily undermine this hypothesis, as they focus on other factors that are related, but not necessarily causative. For example, the statement that serotonin and norepinephrine are found to rise and fall in tandem is not necessarily in conflict with Jacob's hypothesis, as the two chemicals are known to be related, and it is not suggested that one causes the other. The statement that researchers prove conclusively that the level of norepinephrine in the brain is a significant factor in enabling the brain to sleep does not necessarily undermine Jacob's hypothesis, as it does not dispute that serotonin and norepinephrine levels are affected by LSD. The statement that some semi-synthetic hallucinogenic drugs other than LSD do not inhibit serotonin is also not necessarily in conflict with Jacob's hypothesis, as it does not suggest that LSD does not have the same effect on serotonin levels. Finally, the statement that the first three stages of sleep are as crucial to the process of dreaming as the fourth stage does not necessarily undermine Jacob's hypothesis, as it does not dispute the effect that LSD has on serotonin and norepinephrine levels.
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(-4, y), (2, 4y); slope = 6
Find y
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Value of y = 12 when slope is 6.
What is slope?
Slope, usually referred to as rise over run, is the "steepness" of the line. Slope is calculated by dividing the difference between two points' changes in y values by changes in x values.
A line's steepness is determined by its slope. When calculating slope mathematically, "rise over run" is used (change in y divided by change in x).
Points are (-4, y), (2, 4y)
slope = 6
m = y₂ - y₁/x₂ - x₁
6 = 4y - y/2 - (-4)
6 = 3y/6
3y = 36
y = 12
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The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give V=253.5 in^3 when T=390 degrees and P= 20 lb/in^2. What is the volume on this device when the temperature is 400 degrees and the pressure is 10 lb/in^2?
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the volume on this device when the temperature is 400 degrees and the pressure is 10 lb/in^2 is V = 253.5 * (400/390) * (20/10) = 263.0 in^3
V = 253.5 * (T/390) * (20/P)
V = 253.5 * (400/390) * (20/10)
V = 263.0 in^3
The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. Knowing this, we can calculate the volume for any given temperature and pressure by using the formula V = 253.5 * (T/390) * (20/P). In this problem, the device was calibrated to give V=253.5 in^3 when T=390 degrees and P= 20 lb/in^2. To find the volume on this device when the temperature is 400 degrees and the pressure is 10 lb/in^2, we plug these values into the formula, which gives us V = 253.5 * (400/390) * (20/10) = 263.0 in^3.
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If two events have no outcomes in common they are said to be
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mutually exclusive. This means that if one event occurs, the other event cannot occur. For example, the events "rolling a 6 on a die" and "rolling a 3 on a die" are mutually exclusive because it is impossible to roll a 6 and a 3 at the same time. Similarly, the events "getting a tail when flipping a coin" and "getting a head when flipping a coin" are also mutually exclusive because it is impossible to get both a tail and a head at the same time when flipping a coin. In probability theory, the probability that two mutually exclusive events will both occur is zero.
A school district is replacing all of the desks in its classrooms. There are 103 classrooms and each classroom needs 24 new desks. How many desks will the school district need to buy?
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Answer: 2472 desks.
Hope this helps ;) don't forget to rate this answer !
Step-by-step explanation:
The school district needs to buy 24 desks for each of its 103 classrooms, so it will need to buy a total of 24 * 103 = <<24*103=2472>>2472 desks.
The x y coordinate plane is given. There are two curves, a vertical line, and a shaded region on the graph.
The first curve, labeled y = ∛x, begins at the origin, goes up and right becoming less steep and exits the window in the first quadrant.
The second curve, labeled y = 1/x, enters the window almost vertically just left of the y-axis, goes down and right becoming less steep, intersects the first curve at the point (1, 1), and exits the window almost horizontally just above the x-axis.
The vertical line, labeled x = 27, begins at the approximate point (27, 0.04) on the second curve, goes up, and ends at the point (27, 3) on the first curve.
The region is below the first curve, above the second curve, and left of the vertical line.
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The area of the shaded region is approximately 118.46.
The unshaded region is the sum of the area of the region.
To find the area of the shaded region, you can use the following steps: Determine the bounds of the region. The region is below the curve,y=[tex]\sqrt[3]{x}[/tex], above the curve y = 1/x, and left of the vertical line x = 27.Determine the intersection points of the two curves. You can do this by setting [tex]y=\sqrt[3]{x}[/tex] ,y = 1/x equal to each other and solving for x. This gives us the equation [tex]\sqrt[3]{x} = \frac{1}{x}[/tex] which we can solve to get x = 1. This means that the two curves intersect at points (1, 1).Determine the bounds of the integration. The region is below the curve [tex]y = \sqrt[3]{x}[/tex] and above the curve y = 1/x, so we need to integrate with respect to y. The lower bound is 1/x and the upper bound is [tex]\sqrt[3]{x}[/tex].Set up the integral. The area of the shaded region is given by the following definite integral:
[tex]\int\limits [1/x,\sqrt[3]{x} ] \int\limits [0,27] 1 dy dx[/tex]
Evaluate the integral. To evaluate this integral, we can use the following steps:
First, we can evaluate the inner integral with respect to y. This gives us
[tex]\int\limits [0,27] 1 dy = 27[/tex]
Next, we can evaluate the outer integral with respect to x. This gives us
[tex]\int\limits [1/x,\sqrt[3]{x} ] 27 dx[/tex]
We can then evaluate this integral using the Fundamental Theorem of Calculus to get:
[tex]27 * (ln (\sqrt[3]{x} ) - ln (1/x )[/tex]
Substituting x = 27 into this expression, we get:
[tex]27 * ((ln (3 ) - ln (1/27 ))[/tex]
= [tex]27 * (1.09- (-3.29 ))[/tex]
= 27 * 4.38
= 118.46
So, the area of the shaded region is approximately 118.46.
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Determine un dominio correspondiente de las siguientes funciones de variable real:
• f(x)=√√√x-1
• g(x)=x₁
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Answer:
the domain of f is the set of all real numbers x such that x ≥ 1.
Step-by-step explanation:
For the function f(x) = √√√x - 1, the domain is the set of all real numbers x such that x - 1 is nonnegative. This means that the domain of f is the set of all real numbers x such that x ≥ 1.
For the function g(x) = x₁, it is not clear what the function is intended to be. It is possible that this is a typo or that the function is written in a notation that is not familiar to me. Without more information about the function g(x), it is not possible to determine its domain.
unless I misunderstand the question
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