How do u do this it's something about solving proportions and I have no idea how to do this plz help

Mathematics

1 answer:

Yakvenalex [24]3 years ago

8 0

Simple...what fun!

To solve for this type of problem...it's real simple!

I will show you the easiest and fastest way to solve...

so..you have...

$\frac{2}{5} = \frac{x}{35}$

Just..CROSS MULTIPLY!!

2*35=70
and
5*x=5x

Leaving you with....

5x=70

Easy...now divide!!

$\frac{5x}{5} = \frac{70}{5}$

x=14

To check your work...plug it in....

$\frac{2}{5} = \frac{14}{35}$

simplify...

14/7=2

and

35/7=5

Thus, your answer.

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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