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3 years ago

9

Cedric is constructing a kite in the shape of a rhombus.The spars of the kite measure 15 inches and 24 inches.How many fabric wi

ll Cedric need for the kite?

1 answer:

nalin [4]3 years ago

4 0

180 square inches:
the kite area formula is (ab) / 2
15 x 24 = 360 / 2 = 180

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Answer:

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And using the normal standard table or excel we find the probability:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

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Where $\mu=17.5$ and $\sigma=4$

Since the distribution for X is normal then, the distribution for the sample mean $\bar X$ is given by:

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We select a sample of n =50 people. And we want to find the following probability

$P(16.5$

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3 years ago

If 55% of a number is 132 and 25% of the same number is 60, find 80% of that number.

UNO [17]

Answer:

192

Step-by-step explanation:

It is always wise to look carefully at the question to see what information is given, and what information you are asked for. You are given two different fractions of the same number, and you want the value of a third fraction of that number. That third fraction is the sum of the other two.

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The value of 80% of the number will be the sum of 55% and 25% of the number.

n×80% = n×55% +n×25%

n×80% = 132 +60

n×80% = 192

80% of the number is 192.

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<em>Additional comment</em>

Your first clue that there may be something special about this problem lies in the fact that one fraction of a number is all you need in order to find any other fraction. Here, we're given two fractions (55% and 25%), so that is more information than we need. Why? Because it simplifies the problem to one of addition. No proportions need to be solved.

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If you were interested, you could determine 100% of the number to be ...

132/n = 55/100 ⇒ n = 132(100/55) = 240

or

60/n = 25/100 ⇒ n = 60(100/25) = 240

Then ...

0.80n = 0.80(240) = 192 . . . . 80% of the number

Or, you could write proportions for the 80% value:

80%/55% = n/132 ⇒ n = 132(80/55) = 192 . . . . 80% of the number

80%/25% = n/60 ⇒ n = 60(80/25) = 192 . . . . 80% of the number

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"Look carefully" includes thinking about the ways the <em>givens</em> and the <em>finds</em> are related.

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