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yuradex [85]
3 years ago
8

A square has an area of 100. What is the length of each side?

Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0
100x100x100x100

I Think
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The lengths of bolts in a batch are distributed normally with a mean of 3 cm and a standard
ValentinkaMS [17]

Answer:

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 3 cm and a standard deviation of 0.04 cm.

This means that \mu = 3, \sigma = 0.04

What is the probability that a bolt has a length greater than 2.96 cm?

This is 1 subtracted by the p-value of Z when X = 2.96. So

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

Z = \frac{2.96 - 3}{0.04}

Z = -1

Z = -1 has a p-value of 0.1587.

1 - 0.1587 = 0.8413

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

3 0
2 years ago
If the sides of two similar triangles are in the ratio of 3:5, find the ratio of their areas.
Kazeer [188]

Ratio of areas of similar triangles is 9 : 25.

Solution:

Given data:

Ratio of sides of two similar triangles = 3 : 5

To find the ratio of areas of the triangles:

We know that,

<em>In two triangles are similar, then the ratio of their area is equal to the square of the ratio of their sides.</em>

$\text{Ratio of areas} = \frac{\text{Area of triangle 1}}{\text{Area of triangle 2} }

                      $=\left(\frac{3}{5}\right) ^2

                      $=\frac{9}{25}

Ratio of areas of similar triangles is 9 : 25.

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3 years ago
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The store's sales equate to $6000
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3 years ago
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For a shape to be symmetrical do both sides have to be the same when divided?
rewona [7]
Yes in order for them to be symmetrical they both have to be Symmetrical or the same
6 0
3 years ago
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Alexandra savings account balance is $95.65. She writes a check for $107.85. How much money is in her account now? Answer should
777dan777 [17]

Answer:

-12.2

Step-by-step explanation:

95.65-107.85=-12.2

7 0
2 years ago
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