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lakkis [162]
1 year ago
8

A normal population has a mean u = 31 and standard deviation = 10. What proportion of the population is less than 30?​

Mathematics
1 answer:
natulia [17]1 year ago
4 0

The proportion of the population exists less than 30 then

(x< 30) = 0.986.

<h3>How to estimate the proportion of the population that exists less than 30?​</h3>

To estimate the z-score using the formula, z = (x - µ)/σ

Where, x be the randomly chosen values = 30

µ be the mean = 31

σ be the standard deviation = 10

Proportion of the population that exists less than 18 = P(x < 30)

Plug in the values into z = (x - µ)/σ, to get z-score.

Substitute the values in the above equation, we get

z = (30 - 31)/10

z = -1/10 = -0.1

Therefore, the value of z = - 0.1.

To learn more about proportion of the population refer to:

brainly.com/question/18403865

#SPJ9

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Find the image of NPQ under the translation of (x,y) -&gt; (x + 8, y + 1).
lina2011 [118]

Answer:

The image triangle NPQ is triangle KLM

Step-by-step explanation:

The vertices of triangle NPQ are at:

N(-7,-6), P(-4,-3) an Q(-4,-6).

The rule for the translation is:

(x,y)\to(x+8,y+1)

This implies that:

N(-7,-6)\to (-7+8,-6+1)=N'(1,-5)

P(-4,-3)\to (-4+8,-3+1)=P'(4,-2)

Q(-4,-6)\to (-4+8,-6+1)=Q'(4,-5)

Therefore triangle N'P'Q' has vertices at N'(1,-5),P'(4,-2), and Q'(4,-5)

This coincides with K(1,-5),L(4,-2), and M(4,-5)

Hence the image triangle NPQ is triangle KLM

8 0
3 years ago
The actual distance between two buildings is 125 feet.
Kay [80]
The answer is D.
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7 0
3 years ago
For which inequality is x = 5 a solution?<br>A x&lt;2<br>B. x&gt;9 <br>C x&lt;18 <br>D. x&gt; 42​
marishachu [46]

Answer:

c

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3 years ago
In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. If the perimeter of MNPQ is 68 inches, t
Svetlanka [38]

Answer: NP = 9 inches

Step-by-step explanation:

In a parallelogram, the opposite sides are equal.

If the length of the longer side is MN, it means that the length of the two opposite longer sides is 2MN.

If the length of the shorter side is NP, it means that the length of the two opposite shorter sides is 2NP.

The perimeter is 2MN + 2NP

If the perimeter of MNPQ is 68 inches, it means that

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In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. It means that

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Substituting equation 2 into equation 1, it becomes

2(2NP + 7) + 2NP = 68

4NP + 14 + 2NP = 68

4NP + 2NP = 68 - 14

6NP = 54

NP = 54/6

NP = 9 inches

6 0
3 years ago
The tables show some input and output values:
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4 years ago
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