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Mila [183]
3 years ago
13

If Max makes 45 out of 60 shots with the basketball, how many would you expect him to make if he only shot the basketball 15 tim

es?
Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

11

Step-by-step explanation:

Probability of Max making a shot is 45/60=¾

Here, probability, p=¾ or 0.75

The trials n=15

E=np where E is expectation

Now, when the shots out of 15 trials will be given by np=15*¾=11.25 shots

Rounded off to the nearest interger, this is approximately 11 shots.

Therefore, the possible number of shots in 15 trials for Max is equivalent to 11

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2 over 3 n =-12 what value of n makes the equation true?
galina1969 [7]

Answer:

-1/18

Step-by-step explanation:

4 0
3 years ago
Which equation is equivalent to (1/3)x=27x+2?
erma4kov [3.2K]
I hope this helps you


x=3. (27x+2)

x=81x+6

80x=-6

x=-3/40
7 0
3 years ago
Read 2 more answers
Given: 1; -5; -13 ; -23 ; ...<br><br> Derive a formula for the nth term in the pattern.
mylen [45]

Answer:

  f(n) = -n^2 -3n +5

Step-by-step explanation:

Suppose the formula is ...

  f(n) = an^2 +bn +c

Then we have ...

  f(1) = 1 = a(1^2) +b(1) +c

  f(2) = -5 = a(2^2) +b(2) +c

  f(3) = -13 = a(3^2) +b(3) +c

__

Here's a way to solve these equations.

Subtract the first equation from the second:

  -6 = 3a +b . . . . . 4th equation

Subtract the second equation from the third:

  -8 = 5a +b . . . . . 5th equation

Subtract the fourth equation from the fifth:

  -2 = 2a

  a = -1

Then substituting into the 4th equation to find b, we have ...

  -6 = 3(-1) +b

  -3 = b

and ...

  1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation

  5 = c

The formula is ...

  f(n) = -n^2 -3n +5

3 0
3 years ago
Melissa Costouras obtains a $3,000 loan for darkroom equipment. She makes six monthly payments of $511.18. Determine the APR.
nasty-shy [4]

Using the simple interest formula, it is found that the APR for the loan is of 4.472%.

<h3>What is the simple interest formula and when it is used?</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

The parameters for this problem are:

A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.

We solve the equation for r to find the APR.

A(t) = A(0)(1 + rt)

3067.08 = 3000(1 + 0.5r)

1 + 0.5r = \frac{3067.08}{3000}

1 + 0.5r = 1.02236

r = (1.02236 - 1)/0.5

r = 0.04472.

More can be learned about simple interest at brainly.com/question/25296782

#SPJ1

5 0
1 year ago
The diameter of a sphere is 2,160 mm. The diameter of a second sphere is 7,520 mm. Approximately how many times larger is the vo
fgiga [73]

Answer:

Approximately 42 times larger

Step-by-step explanation:

The diameter of a sphere is 2,160 mm.

The diameter of a second sphere is 7,520 mm.

To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:

k =  \frac{7520}{2160}

k = 3.481

To see how many times larger the volume is, we cube both sides

{k}^{3}  =  {3.481}^{3}

This implies that

{k}^{3}  = 42.181

Therefore the volume of the second sphere is approximately 42 times larger

3 0
3 years ago
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