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zalisa [80]
3 years ago
6

Ms. Pace walks miles in each hour. How far will Ms. Pace walk in one hour?

Mathematics
1 answer:
Goshia [24]3 years ago
5 0

Answer:

Uh can you please be more specific?

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The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10
8_murik_8 [283]

Answer:

The z-score for an income of $2,100 is 1.

Step-by-step explanation:

If X \sim N (µ, σ²), then  Z=\frac{x-\mu}{\sigma}, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \sim N (0, 1).

The distribution of these z-variate is known as the standard normal distribution.

Given:

µ = $2,000

σ = $100

<em>x</em> = $2,100

Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:

Z=\frac{x-\mu}{\sigma}=\frac{2100-2000}{100}=\frac{100}{100}=1

Thus, the z-score for an income of $2,100 is 1.

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A copy machine makes 28 copies per minute. How many copies does it make in 3 minutes and 45 seconds?
lina2011 [118]
<u>Convert minutes and seconds to minutes:</u>
\text{3 mins 45 seconds} \longrightarrow 3 \dfrac{3}{4} \text{mins}


<u>FInd 3 3/4 mins:</u>
\text{1 min} \longrightarrow 28 \text{ copies}

3  \dfrac{3}{4} \text{ min} \longrightarrow 28 \times 3\dfrac{3}{4} \text{ copies}

3  \dfrac{3}{4} \text{ min} \longrightarrow 28 \times \dfrac{15}{4} \text{ copies}

3  \dfrac{3}{4} \text{ min} \longrightarrow 105 \text{ copies}

Answer: It can make 105 copies.

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