Hi, I’m really struggling with this problem and would love some help!

The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o

Andrej [43]

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

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

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

Approximately 95% of the measures are within 2 standard deviations of the mean.

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

In this problem, we have that:

Mean = 7010, standard deviation = 43.

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

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

5 0

2 years ago

in one hour thirty two cars pass through a particular intersection at the same rate how long would it take for 96 cars to pass t

USPshnik [31]

Answer:

72 hours

Step-by-step explanation:

1hour30minutes times 48 cars (since TWO pass every 1:30, not one)

equals 72 hours, or three days

3 0

3 years ago

Solve the equation. d-5/9=3/9

Aleks04 [339]

Answer:

d = 8/9

Step-by-step explanation:

All you have to do is add 5/9 to both sides.

d - 5/9 + 5/9 = 3/9 + 5/9

d = 89

So, d = 8/9.

8 0

2 years ago

Please find the area.

Oxana [17]

Answer:

I believe it is 92.

Step-by-step explanation:

First, the 17 would be the top of the rectangle. Then, the 2 cm plus 3 cm plus 7 is 12 times the 17. ;-;

3 0

3 years ago

Read 2 more answers

A bag contains 6 red jelly beans, 4 green jelly beans, and 4blue jelly beans. If we choose a jelly bean, then another jelly bean

sergejj [24]

The probability of picking a green jelly bean with the first pick is 4/14 = 2/7, because there are 14 jelly bean in total (6 red + 4 green + 4 blue) and 4 of them are green.

If you pick a green jelly bean at the beginning, you have 13 jelly beans remaining, of which 6 are red. So, the probability of picking a red jelly bean is now 6/13.

You want these two events to happen one after the other, to be more precise you want to pick a green jelly bean with the first pick AND a red jelly bean with the second pick. We know the probabilities of the two events, so we have to multiply them to get the probability of them happening both:

$\dfrac{2}{7}\cdot\dfrac{6}{13}=\dfrac{12}{91}$

5 0

2 years ago