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stepan [7]
3 years ago
10

Human heights are one of many biological random variables that can be modeled by the normal distribution. a 2002 study in the us

found the mean height for 19 year old males is 176.7 cm with a standard deviation of 9.9 cm. a basketball play is usually over 188 cm - what proportion of the 19 year old male population is greater than this height?
Mathematics
1 answer:
Rama09 [41]3 years ago
3 0
To answer this item, find first the z-score of the given data.

    z-score = (x - m) / d

where x is data point, m is the mean and d is the standard deviation

Substituting the given values,

    z-score = (188 - 176.7) / 9.9  = 1.14

This translates to a percentage of 87.29%. 

Because we are asked of the percentage of those with height greater than this, that would be,
     100 - 87.29% = 12.71%

Answer: 12.71%
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The triangle on the grid will be translated two units left. On a coordinate plane, triangle A B C has points (negative 1, negati
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Option B.

Step-by-step explanation:

The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).

We need to find the coordinates of triangle when it is translated two units left.

So, the rule of translation is

(x,y)\rightarrow (x-2,y)

Using this rule, we get

A(-1,-1)\rightarrow A'(-1-2,-1)=A'(-3,-1)

B(-1,-5)\rightarrow B'(-1-2,-5)=B'(-3,-5)

C(0.5,-5)\rightarrow C'(0.5-2,-5)=C'(-1.5,-5)

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Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange. If
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Answer:

75

Step-by-step explanation:

Step 1

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange.

The ratio of all Jerseys to Jerseys that are Orange =

512 : 64

8 : 1

Step 2

If he ordered 600 jerseys this year, how many of them will be Orange if the ratio of orange jerseys to all the jerseys remain the same?

Since we are maintaining the ratio in step 1

Let the number of orange jerseys = x

600 : x = 8 : 1

Hence

600/x = 8/1

Cross Multiply

8 × x = 600 × 1

8x = 600

x = 600/8

x = 75

Therefore, this year, the number of orange jerseys = 75

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