Find the common denominators. for the miles 5 and 3 go into 15. so 2/5 times 3 is 6/15. and 2/3 times 5 is 10/15. for the hours 5 and 9 go into 45. 1/5 times 9 is 9/45. and 2/9 times 5 is 10/45. so Susan ran 6/15 of a mile in 9/45 of an hour. and Kim ran 10/15 of a mile in 10/45 of an hour.

so Kim ran 3 miles in an hour. Susan ran 2 miles in an hour.

8 0

3 years ago

Weights were recorded for all nurses at a particular hospital, the mean weight for an individual nurse was 135 lbs. with a stand

Aloiza [94]

Given:
population mean, μ =135
population standard deviation, σ = 15
sample size, n = 19

Assume a large population, say > 100,
we can reasonably assume a normal distribution, and a relatively small sample.
The use of the generally simpler formula is justified.

Estimate of sample mean
$\bar{x}=\mu=135$

Estimate of sample standard deviation
$\s=\sqrt{\frac{\sigma^2}{n}}$
$=\sqrt{\frac{15^2}{19}}=3.44124$ to 5 decimal places.

Thus, using the normal probability table,
$P(125$
$=P(\frac{125-135}{3.44124}$
$=P(-2.90593$
$=P(Z$
$=P(Z$

Therefore
The probability that the mean weight is between 125 and 130 lbs
P(125<X<130)=0.0731166-0.0018308
=0.0712858

3 0

2 years ago

49 = -5n – 2n<br> I think I know the answer but just wanna be sure?

Svetach [21]

Answer:

n = -7

Step-by-step explanation:

49 = -5n - 2n

combine like terms

-5 - 2 = -7

49 = -7n

divide both sides by -7

49/-7 = -7n/-7

49/-7 = n

49/-7 = -7

-7 = n

3 0

2 years ago