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Anettt [7]
3 years ago
12

Solve for x: 7.2x = 14.4

Mathematics
2 answers:
kherson [118]3 years ago
8 0
7.2x=14.4
7.2x/7.2= 14.4/7.2
x=2
andriy [413]3 years ago
7 0

<em><u>Answer:</u></em>

x = 2

<em><u>Step-by-step explanation:</u></em>

In the equation 7.2x = 14.4, to find x, we first want to isolate the variable.

It would be a little easier if there were no decimals so:

7.2x = 14.4

We could multiply both sides by 10 to get rid of the decimals

7.2x * 10 = 14.4 * 10

72x = 144

We then can divide both sides by 72

72x/72 = 144/72

<u><em>x = 2</em></u>

^ is your answer

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The graph shows the motion of two cars starting at different places on a highway. Their speeds can be compared by comparing the
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Car a travels (300) miles in 6 hours

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Car A speed is (50) miles per hour

Car B speed is(40) miles per hour.

Car A traveled (faster than) Car B.

The graph for Car A is(steeper than) the graph for Car B

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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o
Mumz [18]

Answer:

0% probability that the mean of the sample taken is less than 2.2 feet.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 2.5 feet and a standard deviation of 0.2 feet.

This means that \mu = 2.5, \sigma = 0.2

Sample of 41

This means that n = 41, s = \frac{0.2}{\sqrt{41}}

Find the probability that the mean of the sample taken is less than 2.2 feet.

This is the p-value of Z when X = 2.2 So

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

By the Central Limit Theorem

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

Z = \frac{2.2 - 2.5}{\frac{0.2}{\sqrt{41}}}

Z = -9.6

Z = -9.6 has a p-value of 0.

0% probability that the mean of the sample taken is less than 2.2 feet.

6 0
3 years ago
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