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Travka [436]
3 years ago
8

Circle V is shown. Line segment T V is a radius with length 14 feet.

Mathematics
1 answer:
lawyer [7]3 years ago
5 0

We have been given graph of circle V with radius 14 feet. We are asked to find the area of the circle V.

We will use area of circle formula to solve our given problem.

A=\pi r^2, where r represents radius of circle.

Upon substituting r=\text{14 ft} in above formula, we will get:

A=\pi(14\text{ ft})^2

A=\pi(14)^2\text{ ft}^2

A=\pi\cdot 196\text{ ft}^2

A=196\pi\text{ ft}^2

Therefore, the area of the circle V is 196\pi square feet and option 'c' is the correct choice.

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3 years ago
​A research report describing the results from a repeated-measures t test states that "t(22) = 1.71, p > .05."
Aleonysh [2.5K]

Answer:

b) Fail to reject the null hypothesis with a sample of n = 23 participants

Step-by-step explanation:

Hello!

A "Repeated-measures t-test" is also known as "paired sample t-test" In this type of test you have only one sample and you measure two variables of interest to each experimental unit. Since both study variables are measured in the same units they are said to be dependent.

The most common example of this type of test is the "before-after treatment" experiment.

The degrees of freedom of this experiment are

, so if the test was conducted under a t₂₂ distribution, then the sample size was n= 23 experimental units. Remember if you use the p-value approach, to make a decision over the null hypothesis you have to compare it to the level of significance following the decision rule:

If the p-value ≤ α, you reject the null hypothesis.

If the p-value > α, you do not reject the null hypothesis.

In this example is specified that the p-value is greater than the level of significance, then the decision is to not reject the null hypothesis.

With all this in consideration, the correct option is b)

U hope you have a SUPER day!

6 0
3 years ago
Solve the following system of equations. 2x + y = 3 x = 2y - 1 Make sure there are NO SPACES in your answer. Include a comma in
Natalka [10]
2x + y = 3
x = 2y - 1

solve for y in the first equation;
2x + y = 3
y = 3 - 2x 

x = 2y - 1
x = 2(3 - 2x) - 1
x = -4x + 5

solve for x;
x = -4x + 5
x + 4x = 5
5x = 5
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solve for y;
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the answer is: x = 1, y = 1

hope this helps, God bless! 
8 0
3 years ago
Factorise p^2 + q^2 +5(p^2 + q^2)​
Vinvika [58]

Step-by-step explanation:

p² + q² + 5(p² + q²)

= 1(p² + q²) + 5(p² + q²)

= (1 + 5)(p² + q²)

= 6(p² + q²).

5 0
2 years ago
Simplify by combining like terms. <br> 12+5t−4+15t+1
quester [9]

Answer:

9+20t

Step-by-step explanation:

Look at the terms and see which has t and which is a number when you see like terms, add them or subtract them together to get like terms.

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