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kap26 [50]
3 years ago
13

Taylor read 32 pages on Monday. On Tuesday, she read twice as much as she read on Monday. On Wednesday, she read 14 fewer pages

than she did on Tuesday. How many total pages did Taylor read during the three days?
Mathematics
1 answer:
pickupchik [31]3 years ago
8 0

Answer:

Taylor read 146 pages during these three days.

Step-by-step explanation:

32 pages on Monday.

On Tuesday twice, as much as Monday. So 2*32 = 64 on Tuesday.

On Wednesday, 14 less pages than Tuesday. 64 - 14 = 50. So he read 50 pages on Wednesday.

How many total pages did Taylor read during these three days?

32 + 64 + 50 = 146

Taylor read 146 pages during these three days.

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Joses ACT score had a z-score of .75.what was his ACT score?<br><br><br> mean score=21.1 sd=5.2
Zielflug [23.3K]

Answer:

X \sim N(21.1,5.2)  

Where \mu=21.1 and \sigma=5.2

And the z score is given by:

z = \frac{x -\mu}{\sigma}

And since z = 0.75 we can replace like this:

0.75 = \frac{x- 21.1}{5.2}

And if we solve for x we got:

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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 ACT scores of a population, and for this case we know the distribution for X is given by:

X \sim N(21.1,5.2)  

Where \mu=21.1 and \sigma=5.2

And the z score is given by:

z = \frac{x -\mu}{\sigma}

And since z = 0.75 we can replace like this:

0.75 = \frac{x- 21.1}{5.2}

And if we solve for x we got:

x = 21.1 +0.75*5.2 = 25

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Step-by-step explanation:

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-----------------------------------------------

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