The five posters made for spirit week are being hung

Ответ:

mikaydeannf1351

27.01.2022

Mathematics

1/20 or 0.05

Step-by-step explanation:

Assuming that all five posters are different, the number of ways to randomly place those posters is given by:

$N=5*4*3*2*1 = 120\ ways$

If we want the largest to be in the center and the next largest to be on its left, two poster will have a set position and only three could be randomized:

$n=3*2*1*1*1=6\ ways$

Therefore, the probability is:

$P=\frac{n}{N}=\frac{6}{120} =\frac{1}{20} =0.05$

The probability is 1/20 or 0.05.

0,0(0 оценок)

Ответ:

kobrien9146

14.12.2020

Mathematics

$\begin{aligned} \cos 4x + \cos 2x & = 2 - 2\sin^2(2x) - 2\sin^2 x \end{aligned}$ left-hand side: manipulate cos 4x to get: $\begin{aligned} \text{lhs} & = \cos 4x + \cos 2x \\ & = \cos\big[2(2x)\big] + \cos 2x \end{aligned}$ now we use cosine double angle identity as follows. we use the sine version of the cosine double angle identity because the right-hand side is exclusively in sine. $\begin{aligned} \cos 2x & = 1 - 2\sin^2 x \end{aligned}$ also $\begin{aligned} \cos\big[2(2x)\big] & = 1 - 2\sin^2 (2x) \end{aligned}$ so $\begin{aligned} \text{lhs} & = \cos\big[2(2x)\big] + \cos 2x \\ & = 1 - 2\sin^2 (2x) + 1 - 2\sin^2 x \\ & = 1 + 1 - 2\sin^2 (2x) - 2\sin^2 x \\ & = 2 - 2\sin^2(2x) - 2\sin^2 x\\ & = \text{rhs} \end{aligned}$

0,0(0 оценок)

The five posters made for spirit week are being hung in the front hall. What is the probability the largest poster will be in the center in the next largest will be on its left?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question