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Aliun [14]
3 years ago
7

A warje population as a bell shaped distribution with a mean of 200 and a standard deviation of 40 which 1 of the following meas

urements has AZ score of 2.5?
100
300
280
120
Mathematics
1 answer:
Shalnov [3]3 years ago
6 0

Answer:

300

(second answer choice)

Step-by-step explanation:

Recall that the Z-distribution is defined as :

Z=\frac{X-\mu}{\sigma}

and therefore, to obtain a Z = 2.5 when the mean value \mu =200, and the standard deviation \sigma = 40 , we solve for "X":

Z=\frac{X-\mu}{\sigma} \\2.5=\frac{X-200}{40}\\40*2.5 =X-200 \\100 = X-200\\X=300

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aniked [119]
Answer:

We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.

This sequence has common ratio <span><span>3<span>√<span>1355</span></span></span>=3</span>, hence <span>a=15</span> and <span>b=45</span>

Explanation:

In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.

So we want to find a and b such that 5, a, b, 135 is a geometric sequence.

If the common ratio is r then:

<span><span>a=5r</span><span>b=ar=5<span>r2</span></span><span>135=br=5<span>r3</span></span></span>

Hence <span><span>r3</span>=<span>1355</span>=27</span>, so <span>r=<span>3<span>√27</span></span>=3</span>

Then <span>a=5r=15</span> and <span>b=ar=15⋅3=45</span>


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