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Brilliant_brown [7]
3 years ago
6

The ages of the 32 recruits in police academy are normally distributed with a mean of 27 with a standard deviation of 2. What pe

rcent of the recruits are between ages 23 and 27?
Mathematics
1 answer:
Natalka [10]3 years ago
8 0
Z scores are   (age - mean) / std dev

= 23 - 27 / 2  = -2  and  27-27 / 2  = 0 

Using the standard normal tables we find the required percentage is 47.73%

                
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Yasmin arrived home from play practice at 4:25 p.M the walk home took 15 minutes practice began 20 minutes after the final bell
anygoal [31]

Answer:

3:20

Step-by-step explanation:

4:25-15= 4:10

4:10-20=3:50

3:50-30=3:20

School ended at 3:20

6 0
3 years ago
Solve for x<br> Write the smaller solution first, and the larger solution second.<br> -x^2-8=-33
kenny6666 [7]

Answer:

x = -5, 5

Step-by-step explanation:

-x^2-8=-33

Add 8 to each side

-x^2-8+8=-33+8

-x^2 = -25

Divide each side by -1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

8 0
3 years ago
Read 2 more answers
How do you find the area of the shaded sector of the circle? The radius is 10in and the sector is 45 degrees
Step2247 [10]

Given:

Radius of the circle = 10 in

Central angle of the sector = 45 degrees

To find:

The area of the sector.

Solution:

Area of a sector is

A=\dfrac{\theta}{360^\circ}\pi r^2

Where, \theta is the central angle in degrees.

Putting r=10 and \theta=45^\circ, we get

A=\dfrac{45^\circ}{360^\circ}\pi (10)^2

A=\dfrac{1}{8}\pi (100)

A=12.5\pi

Therefore, the area of the sector is 12.5π sq. inches.

7 0
3 years ago
Evaluate f(0)<br> f(x) = - 4x + 9
german
F(0)= -4(0)+9
F(0)= 0+9
F(0)=9
4 0
2 years ago
A 5 year lease for a office space states that the annual rent is 62,000 for the first year and will increase by 7% each addition
Jet001 [13]
First year- 62,000
Second year- 7% increased in rent= 66,340
Third year- 7% increased in rent (66,340)= 70,984
Fourth year- 7% increased in rent (70,984)= 75,953
Fifth year- 7% increased in rent (75,953)= 81,270.

Total 5 years lease- 356,547.
6 0
2 years ago
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