Answer:
The confidence interval is 
Step-by-step explanation:
From the question we are told
The sample proportion 
The margin of error is 
The confidence interval for p is mathematically represented as

=> 
=> 
Answer:
47
Step-by-step explanation:
if there are 100 total and 45 are girls, then there are 55 boys enrolled. since 8 are absent- 55-8=47
Answer:
The equation of the line that is parallel to given line and passes through the point (-8, -3) is: 
Step-by-step explanation:
Given equation of line is:

The general form of equation of line in slope-intercept form is written as:

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.
Comparing the given equation with the general form we get
m = 5
Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.
Let m1 be the slope of required line parallel to y=5x-3
Then m1=5
Putting in general form


To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.
The point is (-8,-3)

Putting the value of b and m1, we get

Hence,
The equation of the line that is parallel to given line and passes through the point (-8, -3) is: 
Answer:
Equivalent fractions
Step-by-step explanation: