Answer:
Step-by-step explanation:
For the null hypothesis,
H0: p = 88
For the alternative hypothesis,
Ha: p < 88
Considering the population proportion, probability of success, p = 0.88
q = probability of failure = 1 - p
q = 1 - 0.88 = 0.12
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 21
n = number of samples = 32
P = 21/32 = 0.66
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.66 - 0.88)/√(0.88 × 0.12)/32 = - 3.83
The corresponding p value would be determined by looking at the normal distribution table for the area below the z score. Therefore,
P value = 0.00006
We know that the diameter of the inner circle (d) and the side of a regular octagon (s) are tied by the formula:
d = (1 +√2) × s
The inverse formula is:
s = d / <span>(1 +√2)
Plugging in numbers:
s = 7 (1 + </span>√2)
= 2.9 ft
Therefore the correct answer is A) <span>2.9 feet</span>
Answer:
h squared is 65 but h is 8.06
Step-by-step explanation:
use the pythagorean theorem
7^2+4^2=
49+16= 65
square root of 65 is 8.06
hope this helps
I believe the answer could be
h = -16t^2 + 32t + 12
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