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Masja [62]
2 years ago
14

Consider parallelogram △MNOP shown above.

Mathematics
1 answer:
Nina [5.8K]2 years ago
6 0

To find the length of the sides of this parallelogram, we just have to calculate the length of each side and then proceed to find the perimeter.

The perimeter of the parallelogram is 13 units.

<h3>Perimeter of a Parallelogram</h3>

To calculate the perimeter of a parallelogram, we need the values of the length of the sides. However, if we have the details of two opposite sides, we can find the perimeter of the parallelogram because opposite sides are equal.

  • Length of MN = 2units
  • Length of MP = 4.5 units

The perimeter of MNOP can be calculated as

perimeter = 2(MP + MN)

We can substitute the values into the equation and solve

perimeter = 2(MP + MN)\\perimeter = 2 * (4.5 + 2)\\perimeter = 2 * 6.5\\perimeter = 13

The perimeter of the parallelogram is 13 units.

learn more on perimeter of a parallelogram here;

brainly.com/question/10919634

#SPJ1

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Answer:

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Step-by-step explanation:

we know that

The rule of the transformation is equal to

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Pre-image -----> Image

(x, y)  ------> (4, 3)

so

x+3=4 ----> x=4-3=1

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The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a st
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Answer:

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If Z \leq 2 or Z \geq 2, the outcome X is considered to be unusual.

In this question:

\mu = 8.21, \sigma = 1.9

Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

This is the pvalue of Z when X = 5. So

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

Z = \frac{5 - 8.21}{1.9}

Z = -1.69

Z = -1.69 has a pvalue of 0.0455.

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

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Answer:

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