Answer:
The estimate is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 522
The sample proportion of students would like to talk about school is 
Given that the confidence level is 90 % then the level of significance can be mathematically evaluated as



Next we obtain the critical value of
from the normal distribution table, the value is

Generally the margin of error can be mathematically represented as

=> 
=> 
Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is

substituting values

Answer:
X^2+5x-50
Step-by-step explanation:
X^2-5x+10x-50
The area of the shaded region = 330 sq cm
Step-by-step explanation:
Given,
The radius of small circle (r) = 4 cm
The radius of large circle (R) = 11 cm
To find the shaded region
Formula
The area of circle of radius r = π
sq cm
So, The radius of the small circle = π×
sq cm = 16π sq cm
The radius of the large circle = π×
sq cm = 121π sq cm
Hence the area of the shaded region = 121π-16π sq cm
= 105π sq cm
= 105 ×
sq cm = 330 sq cm
Answer:
176 cu. cm
Step-by-step explanation:
Vol. of prism = Bh where B is the area of the base and h is the height
V = 22(8) = 176 cu. cm