Select all of the equations below that are equivalent to:

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

6 0

Answer:

All of them

Step-by-step explanation:

We can start from the top left.

To get from 16 + m to 16 + m - 2 on the left side of the equation, we can subtract 2 from 16 + m. Using the subtraction property of equality, we then must also subtract 2 from the right side. Doing this, we get

16 + m - 2 = 8 - 2

16 + m - 2 = 6

This matches up with the equation given

Next, for the top right equation, we can see that to get from 16 + m to 16 + m - 3, we must subtract 3. We can do this to both sides to get

16 + m - 3 = 8 - 3 = 5

This matches up with the equation

For the bottom left equation, we can subtract 5 from both sides to get

16 + m - 5 = 8 - 5 = 3

This matches up

For the bottom right equation, we can subtract 6 from both sides to et

16 + m - 6 = 8 - 6 = 2

This also matches up

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According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones

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Answer:

7.64% probability that they spend less than $160 on back-to-college electronics

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 237, \sigma = 54$