Sat scores are normally distributed, with a mean of 1000 and a standard deviation of 200. according to the empirical rule, approximately what percent of the scores will lie between 400 and 1600?

By the Empirical Rule, 99.7% of the scores will lie between 400 and 1600.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 1000

Standard deviation = 200

According to the empirical rule, approximately what percent of the scores will lie between 400 and 1600?

400 = 1000 - 3*200

So 400 is 3 standard deviations below the mean

1600 = 1000 + 3*200

So 1600 is 3 standard deviations above the mean.

By the Empirical Rule, 99.7% of the scores will lie between 400 and 1600.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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