If 5|x − 1| = 20, then x = 1 or 5 6 or –8 –2 or 4 5 or

Suppose that the average and standard deviation of the fine for speeding on a particular highway are 111.12 and 13.04, respectiv

antoniya [11.8K]

Answer:

3) (98.08, 124.16)

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 = 111.12

Standard deviation = 13.04

Calculate an interval that is symmetric around the mean such that it contains approximately 68% of fines.

68% of the fines are within 1 standard deviation of the mean speed. So

From 111.12 - 13.04 = 98.08 to 111.12 + 13.04 = 124.16

The interval notation in the smallest value before the highest value.

So the correct answer is:

3) (98.08, 124.16)

8 0

3 years ago

Janice drove 392 miles in 7 hours. What is the average number of miles she drove per hour?

amm1812

Answer:

Step-by-step explanation:

Total Distance = 392 miles

Total Time = 7 hours

Average Miles / hour = 392 miles / 7 hours

Average Miles / hour = 56 miles per hour

5 0

3 years ago

All of the following are examples of composite numbers except which one?

Nataly [62]

All of the following are examples of composite numbers except which one?

2.

5 0

3 years ago

In the pic thank you guys

Ahat [919]

Answer:

The soda costs 2.20 and the sandwich costs 7.70

Step-by-step explanation:

To find this, set the soda cost as x. We now know that the sandwich cost is 3.5x. Add these together and set equal to 9.90

x + 3.5x = 9.90

4.5x = 9.90

x = 2.20

This is the cost of the soda. Now we can multiply that by 3.5 to get the sandwich cost.

3.5 * 2.20 = 7.70

7 0

3 years ago

"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo

loris [4]

The exponential distribution is:
$\lambda e^{- \lambda x}$
where $\lambda = \frac{1}{mean}=\frac{1}{5}$

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
$P(A|B) = \frac{P(A and B)}{P(B)}$
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
$P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}$

Sub into conditional probability formula:

$P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549$

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%

3 0

3 years ago

If 5|x − 1| = 20, then x = 1 or 5 6 or –8 –2 or 4 5 or –3 Please help