Mark walked 1212 miles in 5 hours. How many miles did Mark walk in 1 hour?

Suppose the scores on a test given to all juniors in a school district are normally distributed with a mean of 74 and a standard

ivann1987 [24]

Answer:

$\mu -\sigma = 66 , \mu +\sigma = 82$

$\mu -2\sigma = 58 , \mu +2\sigma = 90$

$\mu -3\sigma = 50 , \mu +3\sigma = 98$

And in the figure attached we see the limits with the percentages associated.

Step-by-step explanation:

For this case we know that the random variable of interest is the scores on a test given to all juniors in a school district follows a normal distribution with the following parameters:

$X \sim N(\mu= 74, \sigma =8)$

For this case we know from the empirical rule that within one deviation from the mean we have approximately 68.2% of the data, within 2 deviations from the mean we have 95% and within 3 deviation 99.7%

We can find the limits and we got:

$\mu -\sigma = 66 , \mu +\sigma = 82$

$\mu -2\sigma = 58 , \mu +2\sigma = 90$

$\mu -3\sigma = 50 , \mu +3\sigma = 98$

And in the figure attached we see the limits with the percentages associated.

7 0

4 years ago

Carl and Sure are planning to buy a new home. They will both retire in 16 years and do not want to have a house payment at that

nataly862011 [7]

The question is incomplete. The complete question is :

Carl and Sure are planning to buy a new home. They will both retire in 16 years and do not want to have a house payment at that time. Which offer should they choose?

Offer 1 Offer 2

Rate: 7% Rate: 6%

Time(years): 30 Time (years): 25

Loan Amount: $200,000 Loan Amount: $200,000

Monthly Payment: $1,330.60 Monthly Payment: $1,288.60

Total Financed:$479,017.80 Total Financed: $386,580.84

Offer 3

Rate: 5%

Time (years): 15

Loan Amount: $200,000

Monthly Payment: $1581.59

Total Financed: $284,685.71

Solution :

It is given in the question that Carl and Sue are planning to purchase a new house for them. Both of them are going to retire after 16 years from now and they do not want to have any house loan to pay at their retirement time.

So from the offers, Carl and Sue should take the Offer 3 to buy a home for them. This is because rate of interest for the loan amount is less as compared to the other two offers and also loan will be completed within 15 years from now. So they will not have any loan payment at their retirement period.

Therefore, they should choose Offer 3.

4 0

3 years ago

Read 2 more answers

Suppose a shirt is on sale for 10% off it’s original price $23.50.

Lisa [10]

Answer:

A.111.11 repeating

B.25.85

Step-by-step explanation:

7 0

3 years ago

8 1/5 - 3 4/5 help me PLEEEEEASE

Alex17521 [72]

Answer:

1/5x(41-19h)

41/5-19/5h

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is 250/363 in its simplest form

zaharov [31]

You find the GCF of 250 and 363 by factoring. 250 = 5^4 * 2. 363 = 3 * 11^2, and they have no common factors, so 250/363 is already in its simplest form!

8 0

3 years ago