Answer: 52.77876 in
Explanation: C=2πr=2·π·8.4≈52.77876 in
Answer:
(a) 9
(b) -2
Step-by-step explanation:
it is very important to start by finding the equation of the line then substitute in some values.
Answer: a) z=1.43
b) 0.1528
Step-by-step explanation:
The given set of hypothesis :


Since the alternative hypothesis
is two-tailed , so we perform two-tailed test.
Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.
Sample proportion: 
a) The z-statistic would be :-


b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)
=2P(z>1.43)
=2(1-P(z≤1.43)
=2-2P(z≤1.43)
= 2-2(0.9236)[Using standard z-table]
= 2-1.8472=0.1528
Hence, the P-value of the test= 0.1528
Answer:
x = 7.9
Step-by-step explanation:
Given:
Angle - 44
Hypotenuse - 11 ft
adjacent side - x
having adjacent and hypotenuse use Cosine to solve the problem from
S-oh C-ah T-oa
cos (angle) = adjacent / hypotenuse
**Make sure your calculator is in degree mode**
cos 44 = x/11
if you cross multiply, you get
11 cos 44 = x
or to solve for x you would multiply both sides by 11 and get
11 cos 44 = x
x = 7.9