Answer:
D. 154
Step-by-step explanation:
The area of the rectangle is 15*5= 75 inches
The area of the 2 semicircles combined, which make a circle, are:
π*r², where r is 5
r²=25
π*25=78.53981633
75 + 78.53981633 is about 154
Answer:
95% Confidence interval for the mean

Step-by-step explanation:
We have to calculate a 95% confidence interval for the mean of a finite population.
The error is multiplied by the following finite population correction factor:

The standard deviation can be estimated as

The 95% confidence interval has a z value of 1.96, so it becomes:

X by its self is always 1x
1x+8=-15 you have to get rid of 8 by subtracting on both sides
1x=-23 now get rid of 1 by dividing on both sides
x=-23
Answer:

Step-by-step explanation:
Given:
The two points on the line are
and
.
The slope of the line joining two points
and
is given as:

Here, 
∴ 
Equation of line with a point
and slope
is given as:

Plug in -2 for
, 3 for
and -7 for
. This gives,

Therefore, the equation of the line in vertex form is
.