1/4 of the total girls = 16
1/4x = 16
x = 16 * 4
x = 64 girls
1/8 of the total boys = 7
1/8x = 7
x = 7 * 8
x = 56 boys
for a total of (64 + 56) = 120 students <===
The required value of (g°h)(-3) is 5.
Step-by-step explanation:
Given,
g(x)= x-2 and h(x) = 4 - x
To find (g°h)(-3)
Now,
(g°h)(x) = g(h(x))
= g(4-x)
= (4-x)-2 = 2-x
So,
(g°h)(-3) = 2-(-3) = 5 [ putting x=-3]
Answer:
They need to survey 4145 residents.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
The margin of error is given by:

99% confidence level
So
, z is the value of Z that has a p-value of
, so
.
At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.02 of the true proportion?
This is n for which
. As we have no estimate for the proportion, we use
. So






Rounding up:
They need to survey 4145 residents.
Answer:
x = 3 and y=4
Step-by-step explanation:
apply elimination method in simultaneous equations