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Anika [276]
3 years ago
5

Solve for v. 3v = 42 Simplify your answer as much as possible.

Mathematics
1 answer:
pogonyaev3 years ago
3 0

Answer:

V=14

Step-by-step explanation:

3v=42 divide both sides by 3. getting v=14

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Denise provides water for the runners at her schools 10K road race. She has a container that holds 678 ounces of water. How many
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divide total ounces by the amount each cup can hold

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Find the a. MEAN and b. STANDARD DEVIATION for the data set. Round to two decimal places.
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Answer:

Explained below.

Step-by-step explanation:

(10)

The data set is:

S = {124, 94, 129, 109, 114}

The mean and standard deviation are:

\bar x=\frac{1}{n}\sum x=\frac{1}{5}\times [124+94+...+114]=114\\\\s=\sqrt{\frac{1}{n-1}\sum ( x-\bar x)^{2}}

  =\sqrt{\frac{1}{5-1}\times [(124-114)^{2}+(94-114)^{2}+...+(114-114)^{2}]}\\=\sqrt{\frac{750}{4}}\\=13.6931\\\approx 13.69

The correct option is B.

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According to the Empirical 95% of the data for a Normal distribution are within 2 standard deviations of the mean.

So, the adult male's height is in the same range as about 95% of the other adult males whose heights were measured.

The correct option is B.

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Let the score be <em>X</em>.

Given:

μ = 100

σ = 26

X=\mu-2\sigma

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The correct option is B.

(13)

Let <em>X</em> be the prices of a certain model of new homes.

Given: X\sim  N(150000, 2300^{2})

Compute the percentage of buyers who paid between $147,700 and $152,300 as follows:

P(147700

                                         =P(-1                                        

According to the 68-95-99.7, 68% of the data for a Normal distribution are within 1 standard deviations of the mean.

The correct option is D.

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Compute the percentage of buyers who paid more than $154,800 as follows:

P(X>154800)=P(\frac{X-\mu}{\sigma}>\frac{154800-150000}{2400})

                                         =P(Z>2)\\=0.975\\

According to the 68-95-99.7, 95% of the data for a Normal distribution are within 2 standard deviations of the mean. Then the percentage of data above 2 standard deviations of the mean will be 97.5% and below 2 standard deviations of the mean will be 2.5%.

The correct option is D.

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The <em>z</em>-score is given as follows:

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Answer:

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A house has 3 rectangular countertops. Each countertop is 4 and 3/8 by 2 and 2/5 feet. How many square feet of tile is needed to
Allisa [31]

Answer:

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Step-by-step explanation:

From the information given each of the three rectangular countertops has dimension 4\frac{3}{8} by  2\frac{2}{5} feet.

The area of a rectangular shapes is the product of the dimensions.

Each rectangular countertop has area;

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Therefore the number of square feet tiles needed to cover all the countertops is D.

6 0
3 years ago
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