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Andreyy89
2 years ago
13

Jaime had ten posters, but only five could fit on his closet door. how many

Mathematics
1 answer:
sukhopar [10]2 years ago
5 0

There are 30240 different ways can he arrange the five posters out of the ten on his closet door

<h3>How to determine the number of arrangements?</h3>

The given parameters are:

  • Total, n = 10
  • Posters to arrange, r = 5

The number of ways is calculated as:

Ways =^nP_r

This gives

Ways =^{10}P_5

Apply the permutation formula

Ways = 30240

Hence, there are 30240 different ways can he arrange the five posters out of the ten on his closet door

Read more about permutation at:

brainly.com/question/11732255

#SPJ1

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Y/ 100 is the fraction that you should get
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2 years ago
There are 108 flights from an airport, 20 of which are longer than 3 hours.
Rainbow [258]

5/27 in  simplest form because 20 flights out of 108 are linger than three hours, 20/108. Simplify 20/108 to get 5/27!

5 0
3 years ago
Determine the following:
dolphi86 [110]

Answer:

a) P(X = 0) = 0.5997

b) P(X = 9) = 0.0016

c) P(X = 8) = 0.0047

d) P(X = 5) = 0.4018

Step-by-step explanation:

These following problem are examples of the binomial probability distribution.

Binomial probability

Th binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

(a) for n = 4 and π = 0.12, what is P(X = 0)?

P(X = 0) = C_{4,0}.(0.12)^{0}.(0.88)^{4} = 0.5997

(b) for n = 10 and π = 0.40, what is P(X = 9)?

P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016

(c) for n = 10 and π = 0.50, what is P(X = 8)?

P(X = 8) = C_{10,8}.(0.5)^{8}.(0.5)^{2} = 0.0047

(d) for n = 6 and π = 0.83, what is P(X = 5)?

P(X = 5) = C_{6,5}.(0.83)^{5}.(0.17)^{1} = 0.4018

3 0
3 years ago
What multiplied by itself 3 times gives you -216 please answer asap!!!
AlexFokin [52]

Answer:

-6

Step-by-step explanation:

given

x³ = -216

x = (-216)^⅓

factorize

x = [(-6)×(-6)×(-6)]^⅓

x = -6

4 0
3 years ago
Read 2 more answers
Economists predict that Americans will spend $1,180 on Summer Vacation in 2015, this is up 5.6% from 2014. What did Americans sp
netineya [11]

Answer: $1117.42

Step-by-step explanation:

Given: The amount predicted by Economist =$1180

Let x be the amount spent by Americans on Summer vacation in 2014.

Therefore,  According to the question, we have

5.6% of x+x=1180

\Rightarrow0.056\timesx+x=1180\\\Rightarrow x(0.056+1)=1180\\\Rightarrow\ x=\frac{1180}{1.056}=1117.42\approx

Hence, the amount spent by Americans on Summer vacation in 2014 = $1117.42

3 0
3 years ago
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