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Anton [14]
3 years ago
8

Identify the correct solution for 3/6 x 5.

Mathematics
1 answer:
Setler79 [48]3 years ago
4 0

Answer:

suggestions use algebra calculator or mathaway

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1 point) As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distri
BigorU [14]

Answer:

(a) E (X) = 61 and SD (X) = 9

(b) E (Z) = 0 and SD (Z) = 1

Step-by-step explanation:

The time of the finishers in the New York City 10 km run are normally distributed with a mean,<em>μ</em> = 61 minutes and a standard deviation, <em>σ</em> = 9 minutes.

(a)

The random variable <em>X</em> is defined as the finishing time for the finishers.

Then the expected value of <em>X</em> is:

<em>E </em>(<em>X</em>) = 61 minutes

The variance of the random variable <em>X</em> is:

<em>V</em> (<em>X</em>) = (9 minutes)²

Then the standard deviation of the random variable <em>X</em> is:

<em>SD</em> (<em>X</em>) = 9 minutes

(b)

The random variable <em>Z</em> is the standardized form of the random variable <em>X</em>.

It is defined as:Z=\frac{X-\mu}{\sigma}

Compute the expected value of <em>Z</em> as follows:

E(Z)=E[\frac{X-\mu}{\sigma}]\\=\frac{E(X)-\mu}{\sigma}\\=\frac{61-61}{9}\\=0

The mean of <em>Z</em> is 0.

Compute the variance of <em>Z</em> as follows:

V(Z)=V[\frac{X-\mu}{\sigma}]\\=\frac{V(X)+V(\mu)}{\sigma^{2}}\\=\frac{V(X)}{\sigma^{2}}\\=\frac{9^{2}}{9^{2}}\\=1

The variance of <em>Z</em> is 1.

So the standard deviation is 1.

8 0
3 years ago
What is the median in the box plot?
Serjik [45]

Answer:

76

Step-by-step explanation:

The median line in the middle of the box is at 76 (the number line is by 2's)

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3 years ago
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3. Commuinitive proterty 4. 0 5. The second one
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Which process will create a figure that is NOT congruent to the figure shown?
kari74 [83]

Answer:

The distance

Step-by-step explanation:

because all of the other are still congruent

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Of the 180 students at Martin Middle School, of the students take French. Of that group, also chose to join the French club.
Cerrena [4.2K]

Answer: is going to be 36 because all you have to do is multiply something that it multiplyed by 5 to get 180 and you'll get your answer

Step-by-step explanation:


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