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MatroZZZ [7]
3 years ago
12

Kiran has used `\frac{4}{5}`of the pieces in his jigsaw puzzle. He has used 120 pieces. How many pieces are in the whole puzzle?

Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0

Answer: 150 pieces

Step-by-step explanation:

Kiran has used 4/5 of the pieces of the puzzle.

This number translates to 120 pieces.

Assuming the total number of pieces is x, the formula for the total number is:

4/5x = 120

x = 120 ÷ 4/5

x = 120 * 5/4

x = 150 pieces

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Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probabi
QveST [7]

Answer:

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

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.

In this question, we have that:

\mu = 387.20, \sigma = 68.50

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So

X = 425

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

Z = \frac{425 - 387.20}{68.50}

Z = 0.55

Z = 0.55 has a pvalue of 0.7088

X = 325

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

Z = \frac{325 - 387.20}{68.50}

Z = -0.91

Z = -0.91 has a pvalue of 0.1814

0.7088 - 0.1814 = 0.5274

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

7 0
3 years ago
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Answer:

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Step-by-step explanation:

Ratios are just fractions. That being said, you also have part of a fraction. You know that the colorado flag is in 2:3, and 12 feet long is according to that ratio; it equals each other.

Make the equation.

\frac{2}{3}  = \frac{x}{12}

Now isolate x (in order to solve for it)

12 * \frac{2}{3}  = \frac{x}{12}*12\\8 = x

x= 8

The height is 8.

8/12 = 2/3 ✅

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Answer:

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Step-by-step explanation:

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