Answer:
0.7233
Step-by-step explanation:
We want to find the area between the z-scores z=-0.95 and z=1.25.
We first find the area to the left of each z-score, and subtract the smaller area from the bigger one.
For the area to the left of z=-0.95, we read -0.9 under 5 from the standard normal distribution table.
This gives P(z<-0.95)=0.1711
Similarly the area to the left of z=1.25 is
P(z<1.25)=0.8944
Now the area between the two z-scores is
P(-0.25<z<1.25)=0.8944-0.1711=0.7233
Ratio is 5girls:7boys with total 72 students
5+7= 12
72➗12= 6
6(5:7)= 30 girls : 42 boys
New ratio is 3:4 with 48 boys
48➗4= 12
So for girls 3x12= 36
So started with 30 girls ended with 36 girls... 6 girls joined band during the school year.
Answer:
circle question: 69.66
the other question: 66.8
Step-by-step explanation:
For the circle question:
the circle is inscribed in the square, so the diameter of the circle = side of the square
so we need to find the area of square and circle
then do this
square area - circle area
square area(side×side) = 324
circle area(pi×r^2)≈254.469
so shaded region = 69.66
__________
the other question:
we need to find the area of triangle and the area of the rectangle and add them together
A of Triangle (1/2×base×hight) = 34.32
A of rectangle (width × length) = 31.92
add them, so the answer will be = 66.8
Answer:
12.0
Step-by-step explanation: