Answer: a) 0.6141
b) 0.9772
Step-by-step explanation:
Given : Mean :
Standard deviation :
The formula for z -score :
a) Sample size = 1
For x= 63 in. ,
The p-value =
Thus, the probability is approximately = 0.6141
b) Sample size = 47
For x= 63 ,
The p-value =
Thus , the probability that they have a mean height less than 63 in =0.9772.
<u>Given</u>:
Given that FGH is a right triangle. The sine of angle F is 0.53.
We need to determine the cosine of angle H.
<u>Cosine of angle H:</u>
Given that the sine of angle F is 0.53
This can be written as,
Applying the trigonometric ratio, we have;
----- (1)
Now, we shall determine the value of cosine of angle H.
Let us apply the trigonometric ratio , we get;
----- (2)
Substituting the value from equation (1) in equation (2), we get;
Thus, the cosine of angle H is 0.53