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Dmitry [639]
3 years ago
5

The heights of five-year-olds are Normally distributed with a mean of 42.5 inches and a standard deviation of 2.5 inches. A rand

om sample of 16 five-year-olds is taken and the mean height is recorded. What would be the standard deviation of the sampling distribution of all possible samples of size 16?
0.16
0.63
2.5
2.66
Mathematics
1 answer:
rjkz [21]3 years ago
8 0

Answer:

0.63

Step-by-step explanation:

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How do I solve the following system of equations? <br>-5x-3y=7<br>-3x-4y=2​
garri49 [273]

Answer:

(-2, 1)

Step-by-step explanation:

Systems of equations can be solved using different methods.  For this set of systems, you can multiply each equation by a factor in order to eliminate a variable and solve for the other variable:

-3(-5x - 3y = 7)  or 15x + 9y = -21

5(-3x - 4y = 2)  or <u>-15x -20y = 10</u>

                                    -11y = -11

                                        y = 1

Solve for x:  -5x - 3 = 7

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Solve for x: x = -2

(-2, 1)

6 0
3 years ago
9 Quesions, 30 Points!!!! PLEASE HELP!
Sloan [31]
Note: I'm afraid I can't put the work for the answers, for lack of time =/
============================================================

1. 0 or -3

2. 0 or 4

3. -2 or 3

4. 0 or 1/2

5. -2 or 3

6. 0 or 5

7. 0 or 7

8. 0 or -2
============================================================

9. Substitute 0 for h in "h = -16x^2 + 16x" then solve for x
0 = -16x^2 + 16x

<span>Subtract -16x^2+16x from both sides.
</span><span>0−<span>(<span><span>−<span>16x2</span></span>+16x</span>)</span></span>=<span><span><span>−<span>16<span>x2</span></span></span>+<span>16x</span></span>−<span>(<span><span>−<span>16x2</span></span>+16x</span>)
</span></span><span><span>16<span>x2</span></span>−<span>16x</span></span>=<span>0
</span>
Factor the left side of the equation
<span><span>16x</span><span>(<span>x−1</span>)</span></span>=<span>0
</span>
Set factors to equal 0
<span><span>16x</span>=<span><span><span>0<span> or </span></span>x</span>−1</span></span>=<span>0
</span>x = 0 or x = 1
3 0
3 years ago
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