Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).
For this problem, we have the <u>standard deviation for the sample</u>, thus, the t-distribution is used.
- The sample mean is of 15, thus
. - The sample standard deviation is of 9, thus
. - The sample size is of 10, thus
.
First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.
Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622.
The margin of error is of:
Then:
The confidence interval is:
Then
The confidence interval is (9, 21).
A similar problem is given at brainly.com/question/25157574
The length of the radius (r) to the nearest tenth is 13.2
<h3>What is Pythagoras theorem?</h3>
The theorem states that the square of the longest side is equal to the sum of the square of other two sides.
In order to determine the radius of the circle, we will use the theorem above to have:
AO² = AB² +r²
Given
AB = 15
AO = 20
Substitute
20² = 15² +r²
r² = 400 - 225
r² = 175
r = 13.2
Hence the length of the radius (r) to the nearest tenth is 13.2
Learn more on Pythagorean theorem here: brainly.com/question/343682
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Angle S and angle V are supplementary so angle B would actually be 130°
Answer:
1. y = -3x + 5
2. y = 1/4x - 2
Step-by-step explanation:
y=mx+b
1. 5 = -3(0) + b, so b = 5
y = -3x + 5
2. (-2-(-1))/(0-4) = -1/-4 = 1/4
-2 = 1/4(0) + b, so b = -2
y = 1/4x - 2
Combine like terms first.
4b2+2b2-b2= 5b2
5b2 +5
5 x 5^2+5
5 x 25 + 5
125+5
130
