Answer:
B
Step-by-step explanation:
The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. It is calculated using a formula that takes into account the values of the two variables and their relationship to each other. This formula is not affected by changes in the units of measurement of either variable. Therefore, changing the units of time from minutes to seconds in this scenario would not affect the value of the correlation coefficient, so it would remain the same.
Option A, "The correlation and time measurement would change proportionally to one another," is incorrect because the correlation coefficient is not affected by changes in the units of measurement of either variable.
Option C, "The correlation would increase because changing the units for time would result in an increase in time values," is also incorrect because the correlation coefficient is not affected by changes in the actual values of the variables, only by the strength and direction of the relationship between them.
Option D, "It is impossible to determine the amount of change experienced by the correlation," is incorrect because, as explained above, the correlation coefficient is not affected by changes in the units of measurement of either variable.
Option E, "The correlation would decrease because only the units for one of the variables changed," is also incorrect because, as explained above, the correlation coefficient is not affected by changes in the units of measurement of either variable.
a researcher is conducting a z-test and wants to have a power of at least 80% to reject for if the true while holding the probability of type 1 error rate to 0.05. what is the smallest number of subjects the researcher should plan to recruit if they estimate and assume the population of differences is approximately normal?
To determine the minimum number of subjects needed for a z-test with a power of at least 80% and a type 1 error rate of 0.05, you can use a sample size calculator or perform the calculations manually.
Assuming that the population of differences is approximately normal, the z-test is appropriate to use. The z-test allows you to test whether the mean of a population differs significantly from a specified value (the null hypothesis) based on a sample taken from the population.
To perform the calculations manually, you will need to know the following:
The desired power of the test (in this case, 80%)The type 1 error rate (also known as the alpha level or significance level) of the test (in this case, 0.05)The effect size, which is a measure of the size of the difference between the mean of the population and the null valueThe standard deviation of the populationOnce you have this information, you can use the following formula to calculate the minimum sample size:
n = (Z_alpha/2 + Z_beta)^2 * (SD / effect size)^2
where:
n is the minimum sample sizeZ_alpha/2 is the z-score corresponding to the type 1 error rate (in this case, 1.96)Z_beta is the z-score corresponding to the desired power of the test (in this case, 0.84)SD is the standard deviation of the populationeffect size is the size of the difference between the mean of the population and the null value, expressed in terms of the standard deviationFor example, let's say the desired power of the test is 80%, the type 1 error rate is 0.05, the effect size is 0.5, and the standard deviation of the population is 1. Using the formula above, we can calculate the minimum sample size as follows:n = (1.96 + 0.84)^2 * (1 / 0.5)^2
= 3.8236^2 * 2^2
= 14.52 * 4
= 58.08
Therefore, the minimum sample size needed for this test would be 59 subjects.
It's important to note that this is just a rough estimate, and the actual sample size may need to be adjusted based on the specific characteristics of the population and the research question being addressed.
What is the difference between a line and a line segment? Give an example of each.
The difference between a line and a line segment is, a line is extended in both directions infinitely but a line segment has two endpoints.
Lines are the geometrical picture with non-terminating ends. A line runs in two opposite directions with endless. Both the points of a line can be extended to infinity.
The line is non-ending but it can be fractionally divided into different segments. These segments are known as the line segment which has two endpoints.
Difference between line and line segment:
A line segment can be taken as the shortest distance between two endpoints and they are the distance between two defined endpoints.
A line segment can be measured in length as it has two fixed endpoints, which are denoted by ‘_’ or \overline{xy}
A line extends up to infinity as it does not have any starting or endpoint, Which can be measured as it has no end and extends up to infinity, and is denoted by any two points lying on the line.
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wo cyclists leave towns kilometers apart at the same time and travel toward each other. one cyclist travels faster than the other. if they meet in hours, what is the rate of each cyclist?
one cyclist travels faster than the other. Therefore, the rate of the faster cyclist is (distance between towns) / (2 * hours) and the rate of the slower cyclist is also (distance between towns) / (2 * hours).
Let x = the rate of the faster cyclist, and y = the rate of the slower cyclist.
We can set up the equation:
x + y = (distance between towns) / (time they met)
x + y = (distance between towns) / (hours)
We can solve for x and y:
x = (distance between towns) / (2 * hours)
y = (distance between towns) / (2 * hours)
Therefore, the rate of the faster cyclist is (distance between towns) / (2 * hours) and the rate of the slower cyclist is also (distance between towns) / (2 * hours).
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Paul has a 3/4-inch long bolt. He buys a bolt that is 1/8 inch longer and a bolt that is 1/8 shorter than the 3/4 inch bolt.What are the lengths of the two bolts he buys
Answer: The first bolt he bought is 7/8 inches long. The second bolt he bought is 5/8 inches long.
Step-by-step explanation:
The bolt he already has: 3/4 inches, or this can be written as 6/8 inches.
Since the the first bolt he bought was 1/8 inches longer than the original one, we can do 1/8 + 3/4 (6/8) and we get the sum of 7/8.
The first bolt he bought is 7/8 inches long.
The second bolt he bought was 1/8 inch shorter than the first one, so we just take 1/8 from 3/4,
==> 6/8 - 1/8 = 5/8
The second bolt he bought was 5/8 inches long.
Hope this helped, have a good day :D
a random sample of 1000 people was taken. 450 of the people in the sample favored candidate a. the 95% confidence interval for the true proportion of people who favor candidate a rounded to three decimal places is:
The 95% confidence interval for the true proportion of people who favor candidate is (0.419,0.481).
A random sample of 1000 people was condidered for testing.
Number of people in sample favoured candidate
= 450
So, sample proportion, p = 450/1000 = 0.45
Confidence level= 95% i.e, alpha = 1 - 0.95=0.05, From standard normal Z- table, the value of Z( 0.025) is equals to 1.96..
Confidence interval formula,
CL = p ± Z× √(p×(1-p)/n)
Lower bound of interval is ,
=0.45 - 1.96× √(0.45× (1-0.45)/1000)
= 0.45 - 1.96× √(0.45× 0.55/1000)
= 0.45 - 1.96× √(0.0002475)
=0.419165~ 0.419
So the Upper bound is
= p + Z×√(p×(1-p)/n)
= 0.45 + 1.96× √(0.45× (1-0.45)/1000)
= 0.45 + 1.96× √(0.0002475)
= 0.480835 ~0.481
Hence, the required confidence interval is (0.419,0.481).
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Before a century plant die, a tall flower tem grow from it center. The flower tem grow for only two month to reach 40% of a height of 25 feet. How tall i the flower tem after two month?
After solving the percentage, the height of flower stem after two months is found to be 10 feet.
What are percentages?Percentage is a number expressed as a fraction of 100. The % sign means to divide the number by 100.
How to solve percentages?To solve this question, we will do 40% x 25.
= (40/100) x 25
= 10 feet
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Barbecue grills that were once
selling for $844 are now selling for
$211. What is the discount, as a
percentage?
Answer:
The discount on the barbecue grills is 75.11%.
Step-by-step explanation:
To calculate the discount as a percentage, we first need to find the total discount amount by subtracting the new price of the barbecue grills from the old price. This gives us $844 - $211 = $633.
To find the discount as a percentage, we divide the discount amount by the old price and multiply the result by 100%. This gives us $633 / $844 * 100% = 75.11%.
Therefore, the discount on the barbecue grills is 75.11%.
Evaluate the Expression C(10, 4)
Responses:
400
1260
210
5040
you run an hypothesis test and reject the null hypothesis test at an alpha level of 0.01. your teacher asks what result you would have had if you had originally set the alpha level at 0.10. what is your conclusion?
If you had originally set the alpha level at 0.10 then conclusion is same as the in case of where alpha level of 0.01, i.e reject the null hypothesis.
What is hypothesis testing?Hypothesis testing is a statistical process by which analysts test assumptions about population parameters. Every analyst uses a random population sample to test two different hypotheses of hers: the null hypothesis and the alternative hypothesis. The null hypothesis is usually the hypothesis that the population parameters are equal. We have , alpha level = 0.01
We reject the null hypothesis when the p value of a test is less than the level of significance that is alpha. In the case of alpha =0.01, the null hypothesis was rejected implies p value was less than 0.01. In the provide case originally the alpha value is 0.10, Still at this level of alpha p value is less than 0.10(as p value less than 0.01 implies p value less than 0.10). As the p value is less than 0.10 we reject the null hypothesis. So the correct option is '' Reject the null hypothesis''.
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The function y=f(x) is graphed below. Plot a line segment connecting the the points on f where x=5 and x=7. Use the line segment to determine the average rate of change of the function f(x) on the interval -3_
The average rate of change of the function at the interval x = 5 and x = 7 is 22.5
How to determine the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
The graph (see attachment)
The interval is given as
x = 5 and x = 7
This can be represented as
5 ≤ x ≤ 7
On the graph, we have
x = 5 and y = 3
x = 7 and y = 48
This means that
f(5) = 3 and f(7) = 48
The average rate of change is then calculated as
Average rate of change = [f(7) - f(5)]/[7 - 5]
Substitute the known values in the above equation, so, we have the following representation
Average rate of change = [48 - 3]/[2]
Evaluate the expression
Average rate of change = 22.5
Hence, the rate is 22.5
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Complete question
The function y=f(x) is graphed below. Plot a line segment connecting the the points on f where x=5 and x=7. Use the line segment to determine the average rate of change of the function f(x) on the interval 0≤x≤ 4.
See attachment for graph
The scale is 1ft:1.26cm and your school is 30 feet tall how tall will a model be with 6.3 cm tall toothpicks
Answer:
it will be 37.8 cm tall
Write a system of equations and then solve by the method of your choice:substitution or elimination
How to solve a system of equations by elimination.
Write both equations in standard form. If any coefficients are fractions, clear them.Make the coefficients of one variable opposites.Decide which variable you will eliminate.Multiply one or both equations so that the coefficients of that variable are opposites.Add the equations resulting from Step 2 to eliminate one variable.Solve for the remaining variable.Substitute the solution from Step 4 into one of the original equations. Then solve for the other variable.Write the solution as an ordered pair.Check that the ordered pair is a solution to both original equations.How to solve a system of equations by Substitution.
Let us take an example :
y = 3x - 4
2y = -x + 6
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionStep 1: Define Systems
y = 3x - 4
2y = -x + 6
Step 2: Solve for x
Substitution
Substitute in y: 2(3x - 4) = -x + 6[Distributive Property] Distribute 2: 6x - 8 = -x + 6[Addition Property of Equality] Add x on both sides: 7x - 8 = 6[Addition Property of Equality] Add 8 on both sides: 7x = 14[Division Property of Equality] Divide 7 on both sides: x = 2Step 3: Solve for y
Substitute in x [Original Equation]: y = 3(2) - 4Multiply: y = 6 - 4Subtract: y = 2Learn more about Substitution method at:
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Two sides of a triangle measure 8 inches and 10 inches respectively which of these is NOTa possible length for the thirds side of a triangle . Please show ur work Bc I have too !!
A) 12 inches
B) 16 inches
C) 17 inches
D) 18 inches
18 inches is not a possible length for the thrid side of a triangle.
What is Triangle is?A triangle is a polygon with the 3edges and 3 vertices. It is 1 of the basic shaped on geometry. A triangle with vertices A, B, and C is denoted ∆ ABC. In Euclidean geometry, any 3 points, when non-colli early, determined a uniquely ∆ and simultaneously, to unique plane.
As we know in a ∆ if the measurement of two sides are given than the sum of these 2 sides.
Otherwise buliding of a triangle is never possible.
Here two side are 10 and 8 inches.
So, 3rd side of the triangle should be less than
10+8 = 18
Third sides=
2<x<18
Now we have to calculate the range of 3rd sides
2<x<18
Thus,3rd side of the measurement with 18 inches is not possible.
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suppose that you are rolling a six sided dice. let a = get a roll that is even what is p(ac)?
If we are rolling a six-sided dice, where. a = get a roll that is even, then the value of [tex]$P\left(A^c\right)^$[/tex] will be 1/2
Option (c) is the correct choice.
As we know,
A dice has 6 faces on which 6 different numbers (1,2,3,4,5 and 6) are printed on each of the six faces of the dice.
Now, considering an unbiased die the probability of any of the faces appearing in a single roll is 1/6.
So, we can write it as:
P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=1/6
Now that number to be even is 2,4,6
And for each individual number, the probability will be 1/6
So, the value of P(A) =P(2) + P(4)+ P(6)
= 1/6 + 1/6 +1/6 =3/6
P(Ac) = 1 - P(A) = 1 - ( 3/6 ) = 1/2.
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The complete question may be:
Suppose that you are rolling a six sided dice.
Let A= get a roll that is even
What is [tex]$P\left(A^c\right)^$[/tex] ?
(a) 1 / 3
(b) 1 / 4
(c) 1 / 2
(d) 1 / 6
Write an equation of the line that passes through the points
(-1,7) (6,7)
Answer: y=7
Step-by-step explanation:
Slope intercept form
y=mx+b
m=slope
b= y-intercept
find the slope with the slope formula
y2-y1/x2-x1
7-7/6-(-1)
0/7
the slope is 0, meaning this is a horizontal line.
Find the y-intercept
7=0(-1)+b
b=7
y=7
Simplify the expression.
-2.5f+0.7f-16-3
Answer:
-1.8f-19
Step-by-step explanation:
2.5f-0.7f=1.8 and 16+3=19
make both negative
Please respond to this two questions. Help me improve my grade :)
The percentile rank of a score of 71 on this test will be 33.33% and the score of the 60th percentile will be 84.
What is a percentile?Percentile is the amount to measure the rank of a student in respect to the other students.
For example, the 90 percentile score means that there is 10 percent of members higher than you.
As per the given test scores,
The score of 71 from left to is at the 5th number.
Percentile = 5/15 x 100 = 33.33%
If the percentile is 60%.
x/15 = 60/100
x = 9
The 9th from left to is 84
Hence "On this test, a score of 71 will yield a percentile rank of 33.33%, while an outcome of 84 will represent the 60th percentile.".
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Isabella is building a tree fort. The base of the fort is 78 inches wide by 92 inches long.
a What is the area of the base in square inches? Show your work
Answer: 7,176 inches
Step-by-step explanation:
Areas equation is Length times width so applying that we have 78 times 92 giving you the answer of 7,176
WILL GIVE BRAINLIEST TO WHOEVER IS RIGHT. If you steal points, I WILL REPORT.
We created this inequality to represent how Amy can meet her revenue goals.
-100x^2 + 15,750x + 212,500 ≥ 243,600
This inequality can be used to find the minimum ticket price Amy should charge to meet her minimum revenue goal.
Write the inequality representing Amy’s revenue in factored form. Replace the values of a, b, and c to write the inequality.
By solving the inequality we get that the cheapest ticket is $29.
What is the inequality?Inequality is defined as a relationship between two expressions or values that are not equal to each other.When two or more algebraic expressions are compared using the symbols, <, > ≤, or ≥, an inequality is formed. They are mathematical expressions in which neither side is equal.Here given,
If x is the number of $2 dollar increases required to meet her goal, then the minimum number of increases required is:
-100x² + 15,750x + 212,500 ≥ 243,600
- 100x² + 15,750x - 31,100 ≥ 0
x² - 157.5x + 311 ≥ 0
x = (157.5 ± [tex]\sqrt{157.5^{2} - (4*1*311 }[/tex] ) / 2
x1 = 2
x2 = 155.5
The only conceivable value is x = 2 $2 increases
If the original cost was $25, the new rice needed to meet Amy's goal is:
P = 25 + 2 x 2
P = $29
The cheapest ticket is $29.
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2x=9 got no clue how to do it can i get a bit of help
(im not smart)
Answer:
x = 4.5
Step-by-step explanation:
2x = 9 ( isolate x by dividing both sides by 2 )
x = [tex]\frac{9}{2}[/tex] = 4.5
Which point on the graph shows the price of 3 pounds of meat? Use the formula y=3x to find y when x equals 3.
The value of y is 9 in the graph where y is 3x.
What is x and y in the graph?The horizontal axis is commonly referred to as the x-axis. The vertical axis is commonly referred to as the y-axis. The origin is the point at which the x- and y-axes intersect.The horizontal x-axis is a number line, and the vertical y-axis is a number line. The coordinate plane is formed when these two axes intersect perpendicularly. The x-axis is also known as the abscissa, and the y-axis is known as the co-ordinate.We must use the equation y = 3x.
To locate the point on the graph that represents the price of three pounds of meat
As a result, when x = 3,
y = 3 × 3
i.e. y = 9
So, the price of 3 pounds of meat is represented by the following point on the graph is point B
The graph in the question is attached below.
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HELPPPPP!! A company makes different sized shoeboxes in the shape of rectangular prisms. Match the area of the material needed to make each box to the box’s dimensions.
The area of the material needed to make each box to the box’s dimensions 14in× 5in× 5in = 330in², 16in× 6in× 4in = 368in², 10in× 6in ×6in = 312in², 12in× 5in× 6in = 324in².
What is a rectangular prism?
A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.
Here, we have
Given
A company makes different-sized shoeboxes in the shape of rectangular prisms.
We have to match the area of the material needed to make each box to the box’s dimensions.
S₁ = 12in× 5in× 6in
S₁ = (12×5+12×6+6×6)×2
S₁ = 162×2
S₁ = 324in²
S₂ = 10in× 6in ×6in
S₂ = (10×6+10×6+6×6)×2
S₂ = 156×2
S₂ = 312in²
S₃ = 16in× 6in× 4in
S₃ = (16×6+16×4+6×4)×2
S₃ = 184×2
S₃ = 368in²
S₄ = 14in× 5in× 5in
S₄ = (14×5×2+5×5)×2
S₄ = 165×2
S₄ = 330in²
Hence, the area of the material needed to make each box to the box’s dimensions 14in× 5in× 5in = 330in², 16in× 6in× 4in = 368in², 10in× 6in ×6in = 312in², 12in× 5in× 6in = 324in².
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Raul deposited $3000 into a bank account that earned simple interest each year. After 3.5 years, he had earned $262.50 in interest. No money was deposited into or withdrawn from the account.
What was the annual interest rate?
Enter your answer in the box.
Answer:
The annual interest rate is 0.018, or 1.8%.
Step-by-step explanation:
Let r be the annual interest rate, t be the number of years the money was in the account, and I be the amount of interest earned. Since the interest is simple interest, the amount of interest earned is given by the formula I = Prt, where P is the principal, or initial amount deposited. In this case, we know that P = $3000, t = 3.5 years, and I = $262.50. Substituting these values into the formula, we get:
262.50 = 3000r * 3.5
r = 0.018
Thus, the annual interest rate is 0.018, or 1.8%.
Rounding to the nearest ten, which two
numbers round to 40?
48
36
41
32
49
Answer:
48 and 32
Step-by-step explanation:
both numbers get rounded by 8 going up and down rounding it to 40
What is the equation of the line that passes through the point (1,1) and has a slope of −5?
Answer: y=-5x+6
Step-by-step explanation:
Given a
system,
3y=x+21
y+2/3x = 10
a. Solve graphically.
Be sure to state the
exact coordinates.
b. Check the solution by substituting into
both equations.
a. The solution to the system is shown in the graph given below, which is (3, 8).
b. Plugging in the values of x and y into each equation, both sides of each equation are balanced.
How to Solve a System of Equations?To find the solution to a system of equations, plot both equations on a coordinate plane, then find the coordinates of the point where the two lines intersect, which is the solution.
a. Given the system, 3y = x + 21 and y + 2/3x = 10, the image below show each line where 3y = x + 21 is represented as the blue line, and y + 2/3x = 10 is represented as the red line.
The lines of both equations intersect at point (3, 8) which shows that the solution of the system is solved graphically as (3, 8).
b. 3y = x + 21 --> eqn. 1
y + 2/3x = 10 --> eqn. 2
Substitute x = 3 and y = 8 into equation 1:
3(8) = 3 + 21
24 = 24 [true]
Substitute x = 3 and y = 8 into equation 2:
8 + 2/3(3) = 10
8 + 2 = 10
10 = 10 [true]
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Please I need help and it’s ASAPPP
Answer: i say 36.2 mph but this is my option i could be wrong :)
Step-by-step explanation:
What are the properties of the angles and sides of a triangle? How do you use these properties to solve problems involving triangles? Give an example and show your work.
The properties of the angles and sides of a triangle are as follows:
1. The sum of the three angles of any triangle is 180°
2. The longest side of a triangle is opposite the largest angle and the smallest side is opposite the smallest angle.
3. The sum of any two sides of a triangle is always greater than the third side.
These properties can be used to solve problems involving triangles by working out the angles or lengths of sides. For example, let's say we have a triangle with two sides of length 5 and 8, and we need to find the length of the third side. Using the third property listed above, we can set up the following equation:
5 + 8 > x
13 > x
Therefore, the length of the third side is greater than 13.
What is a triangle's rule?A triangle (of any kind) has a total angle of 180°. A triangle's two sides add up to a length bigger than its third side. In the same way, the length of the third side of a triangle's third side is shorter than the difference between its two sides.
What makes it a triangle, and why?Triangulus, which means "three-cornered" or "having three angles," is a Latin word with roots in tri-, "three," and angulus, "angle or corner."
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Write the point slope form of the equation of the line that passes through the point (2, 1) with m = 4.
y+2= 4(x+1)
y-1 = 4(x-2)
PLEASE HELP ASAP! LOTS OF LOVE FOR WHOEVER HELPS!! <3
(Ignore what i wrote and the blue corrections)
Step-by-step explanation:
a)Perimeter of a Rectangle = [tex]2 (l+w)=2(24+15)=78[/tex]
Circumference of a circle = [tex]\frac{\pi d}{2}[/tex]
= [tex]\frac{3.14X24}{2} \\= \frac{75.36}{2} \\= 37.68[/tex]
Perimeter of the whole figure = [tex]15 + 15 + 24 + 37.68= 91.68cm[/tex]
b) Area of the rectangle =[tex]wl=15X24=360[/tex]
Area of a semi circle = [tex]\frac{\pi }{2} Xr^{2}[/tex]
= [tex]1.57[/tex] x [tex]12X12[/tex]
=[tex]226.08[/tex]
Area of the whole figure = [tex]360 + 226.08[/tex]
= [tex]586.08[/tex][tex]cm^{2}[/tex]
Hope it helps
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