Answer:
There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds
Step-by-step explanation:
Given that mean (μ) = 165.2 pounds, standard deviation (σ) = 12.4 pounds, sample size (n) = 15 crates. Confidence (C) = 95% = 0.95
α = 1 - C = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
The z score of α/2 corresponds to the z score of 0.475 (0.5 - 0.025) which is 1.96. 
The margin of error (E) is given by:

The confidence interval = μ ± E = 165.2 ± 6.28 = (158.92, 171.48)
The confidence interval is between 158.92 pounds and 171.48 pounds. There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds
Answer: x=4.25
Step-by-step explanation:
-30=4-8x
subtract 4 from both sides
-8x=-34
divide by -8 on both sides
x=4.25
1/2 and 1/3 are similar because 3/6 and 2/6 are similar. They are so close but not the same.
Answer:

Step-by-step explanation:
Given:
,
To find the value of y, let's find x by solving 3x = 15.
3x = 15
Divide both sides by 3
x = 15/3
x = 5
Plug in the value of x into 




Answer:
A) The area of the flower bed is larger than 8 square feet
Step-by-step explanation:
This is the answer, hope it helps!