Answer:
Option A. 36
Step-by-step explanation:
Let
x-------> the number of boys
y------> the number of girls
we know that
-----> equation A
-----> equation B
using a graphing tool to solve the system of equations
Remember that the solution is the intersection point both graphs
The solution is the point (36,6)
see the attached figure
therefore
The number of boys is 36
Answer:
The probability that the sample proportion will be at least 3 percent more than the population proportion is 0.6157
Step-by-step explanation:
We need sample proportion between 0.75 - 0.03 = 0.72 and 0.75 +0.03 = 0.78. Here we have p = 0.75 and n= 158.
So z-score for sample proportion q = 0.72
z = 
= 
= - 
= - 0.872
So z-score for sample proportion q = 0.78
z= = 
= = 0.872
Therefore the probability that the sample proportion will be within 3 percent of the population proportion is
P( 0.72 < q < 0.78) = P ( -0.872 < z < 0.872)
= P( z < 0.872) - P( z < -0.872)
= 0.80785 - 0.19215
= 0.6157
A. 620 is a multiple of 4
Area of a regular polygon = 1/2 x apothem x perimeter
We know that each side is 10, because if you draw a segment from the center to a vertex it creates a 30-60-90 triangle (those are the angles). This type of triangle has a ratio for its sides where the longer side is radical three times as long as the shorter leg. This shorter leg happens to be half of a side of the polygon. Knowing that the polygon has 6 sides, we can multiply 10 by 6 to get the perimeter.
Area of polygon = 1/2 x apothem x perimeter = 1/2 x 5
x 60
=30 x 5
= 30 x 5 x <span>1.73205080757
= 150 x </span><span>1.73205080757
= </span><span>259.807621135
To the nearest tenth of a cm, the area of the polygon is 260 cm squared</span>
Answer:
I will do a couple of the since there is so many with little time, any more I do is if you do not understand.
Step-by-step explanation:
1st row(column?)- Decimal form= 0.125 Percent= %12.5
2nd- Fraction= 3/4 Decimal= 0.75
3rd- Decimal= 0.6 Percent- %60
Hope this helps :)
