Convert 84% percent to a fraction in simplest form.

Mathematics

2 answers:

Svetlanka [38]3 years ago

8 0

84/100 which would then be 42/50 which will then be 21/25

zimovet [89]3 years ago

5 0

To write a percent as a fraction in lowest terms, first remember that a percent is a ratio that compares a number to 100. In this case, 84% can be written as the ratio 84 to 100 or $\frac{84}{100}$ . Notice however that $\frac{84}{100}$ is not in lowest terms. So, we need to divide the numerator and the denominator by 4 which gives us $\frac{21}{25}$ .

Therefore, 84% can be written as the fraction $\frac{21}{25}$ , which is in lowest terms.

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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