Jim Ryan buys a Sears bond at 109.125. What is the amount of premium or discount the bond is selling for?

Patricia is riding a bus to her grandmother's, 66 miles away. On a map with a scale of 2 inches equals 12 miles, what is the dis

Genrish500 [490]

The answer is 5.5 because 66/12= 5.5, hope this helps..

7 0

3 years ago

Read 2 more answers

Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o

Hitman42 [59]

Answer:

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet.

This means that $\mu = 2.5, \sigma = 0.4$

Find the probability that an individual man’s step length is less than 1.9 feet.

This is the p-value of Z when X = 1.9. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1.9 - 2.5}{0.4}$

$Z = -1.5$

$Z = -1.5$ has a p-value of 0.0668

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

3 0

3 years ago

How do you find slope of a line with rise and run? <br><br> Rise: 5<br> Run:2

eduard

$\text{slope}=\dfrac{\text{rise}}{\text{run}}\\
\text{slope}=\dfrac{5}{2}$

3 0

3 years ago

erica makes a banner using 4 sheets of paper. Each paper measures 9 inches by 19 inches. What is the total area of Erica's banne

pickupchik [31]

To find the area of the paper. You must multiply the width and the height, which is 9 and 19. 9 x 19 is 171 And multiply that by 4 171 x 4 = 684 Total area is 684

8 0

3 years ago

Can anyone help with 13 14 and 15 anything helps!!!

Luda [366]

13. The midpoint divides the segment into two equal parts. That is

BC = (1/2)·AC = (1/2)·(8x -20)

BC = 4x -10

Since you are told the other half is 3x -1, the two halves being equal tells you

... AB = BC

... 3x -1 = 4x -10

... x = 9 . . . . . add 10-3x

Then the measures of AB and BC are 3·9 - 1 = 4·9 -10 = 26.

BC = 26

The problem statement is not clear as to the desired form of the answer—whether it is to be in terms of x, or a number.

14. Same deal as the previous problem. The halves of the bisected segment are equal, giving you an equation that can be solved for x.

... CG = GD

... 5x -1 = 7x -13

... 12 = 2x . . . . . . . . . add 13-5x

... x = 6 . . . . . . . . . . divide by 2

Now you have a value of x that you can use to find the length of EF.

... EF = 6x - 4 = 6·6 - 4 = 32

The parts of EF add to give its total length, so

... EG + GF = EF

... EG + 13 = 32

... EG = 19

15. Once again, the parts of a line segment add to give the whole.

... RS + ST = RT

... (2x -4) + (4x -1) = (8x -43)

... 38 = 2x . . . . . . . . . . . . . . . . add 43-6x

... x = 19

Since R is the midpoint of QS, RS will be half the length of QS. The length of RS is 2x -4 = 2(19) - 4 = 34. Then the length of QS is 2·34 = 68.

QS = 68

_____

To help check our work, we can find the lengths of the other segments in the diagram. ST = 4x - 1 = 75; RT = 8x - 43 = 109. So, we have ...

... QR : RS : ST = 34 : 34 : 75 . . . with QS = 68 and RT = 109.

5 0

3 years ago