Distributive property 54 times 8

Mathematics

2 answers:

pogonyaev3 years ago

6 0

162 is the answer i keep getting when i do it

lesya [120]3 years ago

6 0

Take a look at this expression: 28 + 35.

What do 28 and 35 have in common? Seven is a factor of both of them.

So this means that 28 + 35 = (7 x 4) + (7 x 5).

Now, we bring in the distributive property.

We can take the 7 out of both terms and be left with the 4 and 5.

<span>The answer to 28 + 35 and the answer to 7(4 + 5) is 63. The answer is the same to both. However, you might find that getting to the answer in the second form is easier. So we can use the distributive property to rewrite expressions with common factors to help simplify the work.</span>

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n200080 [17]

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We have -3 and 4. Substitute:

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3 years ago

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omeli [17]

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4 years ago

The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What

atroni [7]

Answer:

21.77% probability that a randomly selected teacher earns more than $525 a week

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 problem, we have that:

$\mu = 490, \sigma = 45$