Answer:
Step-by-step explanation:
-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:
Where:
is the standard deviation
is the desired margin of error.
We substitute our given values to calculate the sample size:
Hence, the smallest desired sample size is 23
5b+4+10=-2
5b+14=-2
5b+14-14=-2-14 1) subtract 14 from both sides
5b=-16
5b/5=-16/5 2) divide by 5 on both sides
b=3 & 1/5
Answer:
x = 16
Angle p = 50°
Angle q = 40°
Step-by-step explanation:
"complementary" means the angles add up to 90°.
So,
3x+2 + 3x-8 =90
combine like terms.
6x - 6 = 90
add 6
6x = 96
divide by 6
x = 16
If x = 16,
then Angle p=
3x + 2
= 3(16) + 2
= 48 + 2
= 50
Angle p = 50°
And,
Angle q
= 3x - 8
= 3(16) - 8
= 48 - 8
= 40
Angle q = 40°
Check:
40° + 50° = 90°
