John bikes. 22 km per

Make r the subject of the relation y = <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-r%7D%7Bx%2Br%7D" id="TexFormula1" title="\f

Anna71 [15]

$y=\dfrac{x-r}{x+r}\\\\y(x+r)=x-r\\xy+ry=x-r\\ry+r=x-xy\\r(y+1)=x-xy\\r=\dfrac{x-xy}{y+1}$

8 0

2 years ago

What's 99 divided by 9,801

Akimi4 [234]

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99 divided by 9801 = 0.01

7 0

3 years ago

Read 2 more answers

Comparing observations from different populations: The heights of adult men in America are normally distributed, with a mean of

Schach [20]

Answer:

a. Z = 1.99

b. 97.67%

c. Z = 2.56

d. 0.52%

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.

a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.66 inches, and thus, we have $\mu = 69.7, \sigma = 2.66$

6 feet 3 inches = 6*12 + 3 = 75 inches, which means that we have to find z when X = 75. So

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

$Z = \frac{75 - 69.7}{2.66}$

$Z = 1.99$

b. What percentage of men are SHORTER than 6 feet 3 inches?

The proportion is the p-value of Z = 1.99.

Looking at the z-table, Z = 1.99 has a p-value of 0.9767.

0.9767*100% = 97.67%, which is the answer.

c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?

The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches, and thus, we have $\mu = 64.5, \sigma = 2.54$ . We have to find Z when X = 5*12 + 11 = 71. So

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

$Z = \frac{71 - 64.5}{2.54}$

$Z = 2.56$

d. What percentage of women are TALLER than 5 feet 11 inches?

The proportion is 1 subtracted by the p-value of Z = 2.56.

Looking at the z-table, Z = 2.56 has a p-value of 0.9948.

1 - 0.9948 = 0.0052

0.0052*100% = 0.52%, which is the answer.

3 0

3 years ago

How do you solve this for h?

pshichka [43]

Answer:

-multiply both sides by 2, so you will have 2A= h(b+c)

- divide both sides by (b+c), so you will have 2A/(b+c)=h and this is your final answer

7 0

3 years ago

What are the coordinates of the roots of the equation x^2+ 4x + 3 = 0 ?

bagirrra123 [75]

Answer:

Step-by-step explanation:

1) Factor out the x components of the equation

(x+3)(x+1)=0

2) Take each individual term and find the value for which the equation equals zero:

x+3=0 -> x=-3

x+1=0 -> x=-1

x = -3, -1

7 0

3 years ago