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ira [324]
3 years ago
5

A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years. The ages are normally distributed.

How many students are younger than 16.2 years? Express answer to the nearest student.
Mathematics
1 answer:
Tom [10]3 years ago
7 0
16.2-15.8/0.6=0.6667. Use normalcdf() to find the percentage from -999 to 0.6777 which is 0.7476*625=467
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Identify the domain and range of the following relation. {(7,-2), (7,4), (7,6), (7,-4), (7,1)}
ludmilkaskok [199]

Answer:

B.

Step-by-step explanation:

Domain is the x-coordinate and the range is the y-coordinate.

B. Domain: {7}

Range: {-4, -2, 1, 4, 6}

6 0
2 years ago
Suppose you want to have $300,000 for retirement in 25 years. Your account earns 8% interest. How much would you need to deposit
Rus_ich [418]

Using the future value formula, it is found that you would need to deposit $272.95 in the account each month.

<h3>What is the future value formula?</h3>

It is given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

In which:

  • P is the payment.
  • n is the number of payments.
  • r is the interest rate.

For this problem, considering that there are monthly compoundings, the parameters are:

r = 0.08/12 = 0.0067, V(n) = 300000, n = 25 x 12 = 300.

Hence we solve for P to find the monthly payment.

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

300000 = P\left[\frac{(1.0067)^{299}}{0.0067}\right]

1099.12P = 300000

P  = 300000/1099.12

P = $272.95.

You would need to deposit $272.95 in the account each month.

More can be learned about the future value formula at brainly.com/question/24703884

#SPJ1

4 0
2 years ago
I need to know the easiest trick to do rotations
BaLLatris [955]
90º (-270º): (x,y) ---> (y, -x)
180º (-180º): (x, y) ---> (-x, -y)
270º (-90º): (x,y) ---> (-y, x)
6 0
2 years ago
The perimeter of the triangle shown is 182 inches. Find the length of each side.
Lubov Fominskaja [6]

Answer:

5x=45, 7x+3=66, and 7x+8=71

Step-by-step explanation:

5x+7x+3+7x+8=182

Rearrange

5x+7x+7x+8+3=182

Add everything up

19x+11=182

Subtract 11 from both sides

19x=171

Divide both sides by 19

x=9

Plug x=9 into all spaces with x

5*9=45 , 7*9+3=66 , and 7*9+8=71

Voila!

6 0
3 years ago
Find the volume of the square pyramid ​
inna [77]

To find the volume of square pyramid, We use the formula that given below.

{x}^{2}  \times  \frac{y}{3}

where x is base and y is height. So, let's substitute the values.

{10}^{2}  \times  \frac{18}{3}

It gives

600 {cm}^{3}

4 0
2 years ago
Read 2 more answers
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