Step-by-step explanation:
Mean = 81740
Standard deviation = 4590
Sample size = 15
Alpha level = 1-0.95 = 0.05
Df = 15-1 = 14
Critical value:
alpha/2 = 0.05/2 = 0.05
t0.025
t critical value = 2.145
Margin of error ME
2.145 x 4590/√15
2.145 x 4590/3.873
ME = 2542.09
Confidence interval
Lower CI = mean - ME
= 81740-2542.09
= 79197.91
Upper CI = mean + ME
= 81740+2542.09
= 84282.09
[ 79197.91, 84282.09]
B.
Using excel, exact answer for CI
Lower limit = 79198.142724212173
Upper limit = 84281.8572757827
C.
The assumptions to be made from the population are that
1. Samples are random
2. These samples are gotten from an approximately normal distribution
You didn't include the formula.
Given that there is no data about the mass, I will suppose that the formula is that of the simple pendulum (which is only valid if the mass is negligible).
Any way my idea is to teach you how to use the formula and you can apply the procedure to the real formula that the problem incorporates.
Simple pendulum formula:
Period = 2π √(L/g)
Square both sides
Period^2 = (2π)^2 L/g
L = [Period / 2π)^2 * g
Period = 3.1 s
2π ≈ 6.28
g ≈ 10 m/s^2
L = [3.1s/6.28]^2 * 10m/s^2 =2.43 m
Hope this helps you!!!!
<span><em>Ps: Please mark brainliest!!!! I am only a few away from ranking up, it would help a lot, and I will make a shoutout for you!! </em></span>
Answer:
A. d = 0.75m.
Step-by-step explanation:
If, for 3 1/2 minutes (3.5 minutes) the car travels 2 5/8 miles (2.625 miles),
Then in m minutes the car will travel d miles
d = (2.625*m)÷ 3.5
d = 0.75m
Which is option A
Turn 85% into a decimal.
85%= .85
.85*60= 51
She made 51 out of 60 of the free throws.
I hope this helps!
~kaikers
