Eight times a number equals the number increased by 504. find the number.

Assume that women's heights are normally distributed with a mean given by mu equals 62.5 in,and a standard deviation given by

Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with

$\mu$ = 62.5 in

$\sigma$ = 2.2 in

the normal probability density function is given by

$f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}$ , then

(a) $P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx$ = 0.5899

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking $P(\bar{X} < 63)$ where n = 37. $\bar{X}$ is normally distributed with mean 62.5 in and standard deviation $2.2/\sqrt{37}$ . So, the probability density function is given by

$g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}$ , and

$P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx$ = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0

2 years ago

Help ;-;........ ;v;

iragen [17]

Answer:

$163

Step-by-step explanation:

Bob worked 26 hours and earn $7 per hour. Multiply 26 with 7:

26 x 7 = 182

Bob made a total of $182 last month.

Bob then spent $19. Subtract 19 from the total earned:

182 - 19 = 163

Bob has $163 left.

~

6 0

2 years ago

Read 2 more answers

Which table does NOT represent a linear function?

chubhunter [2.5K]

Hey there!
Linear functions have a continuous change.

Let's check these tables and see if we can tell linear functions from non-linear functions.

The first one is

x values: -1, 0, 1, 2

- we add 1 each time

y values: 8, 5, 2, -1

- we subtract 3 each time

$\rule{200}{2}$

Let's try the next one:

x values: -1, 0, 1, 2

- we add 1 each time

y values: 5, 10, 15, 20

- we add 5 each time

$\rule{200}{2}$

Let's try the third one:

x values: -1, 0, 1, 2
- we add 1 each time

y values: 15, 18, 20, 21

- we add 3, then 2, then 1..

So this table doesn't represent a linear function.

Let's check the fourth one:

x values: -1, 0, 1, 2

- we add 1 each time

y values: 1, 2, 3, 4

- we add 1 each time

Thus, Option C is the right option.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

4 0

1 year ago

Triangle QRS is a right triangle.

olasank [31]

Answer:

5.3

Step-by-step explanation:

a² + b² =² c² the Pythagorean theorem

RQ² + RS² = QS² Solve RS

6² + RS² = 8²

RS² = 64 -36

RS² = 28

RS = √28 28 is slightly > 25 and since √25 =5

RS = 5.3 actually 5.2915 to a few more significant digits

5 0

3 years ago

What is the estimated difference of 12 9/11 - 8 13/15

tekilochka [14]

Answer:

the estimated difference is 4

Step-by-step explanation:

The estimated difference of 12 9/11 - 8 13/15 would be rounding the fractions to a whole number

12 9/11 becomes 12 11/11 which is 13

8 13/15 becomes 8 15/15 which is 9

we rounded each fraction up since each fraction was above the half way mark so the new equation is,

13 - 9 = 4

7 0

1 year ago