How many ways can we arrange 3 tulips, 2 yellow roses, and 8 lilies to form a border around a garden?

Mathematics

1 answer:

Elina [12.6K]3 years ago

4 0

Answer:

The mentioned flowers can be arranged in 48 different ways.

Step-by-step explanation:

To determine in how many ways the mentioned flowers can be arranged (3 tulips, 2 yellow roses, and 8 lilies), all the variables must be multiplied together, and the result will be the number of possibilities for organizing them. Thus, the resolution of this question is the following:

3 x 2 x 8 = X

6 x 8 = X

48 = X

Therefore, the mentioned flowers can be arranged in 48 different ways.

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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