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4 years ago

Permutation and Combination

Mathematics

1 answer:

zhenek [66]4 years ago

8 0

I assume, the order matters here.

$k$ objects can be chosen out of $n$ objects, when the order matters, in $P(n,k)=\dfrac{n!}{(n-k)!}$ ways.

So, the answer is $P(8,4)=\dfrac{8!}{4!}=5\cdot6\cdot7\cdot8=1,680$ ways.

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SUPER URGENT ANSWER BOTHHHHH QUESTIONS<br> I WILL DEF MARK BRAINLYEST<br> READ CARFULLY!

GaryK [48]

Answer:

Step-by-step explanation:

563 people / 15 classes= 37 8/15. They should offer 38 classes.

2146 questions in 45 weeks.

2146/45= 47 31/45. round to 48 questions a week.

I would choose the first one. Even though the 2000 is an underestimate, the 50 weeks is overestimate , when divided it comes out to 50 questions a week which is closer to the 48 it actually is. I'd rather write too many questions then not enough.

4 0

3 years ago

a sporting goods company can ship 6 footballs in each carton. how many cartons are needed to ship 75 footballs

Dahasolnce [82]

75 ÷ 6 = 12.5 round up to the next whole number... 13

7 0

3 years ago

Read 2 more answers

x P(x) 0 0.25 1 0.3 2 0.1 3 0.35 Find the standard deviation of this probability distribution. Give your answer to at least 2 de

barxatty [35]

Answer:

The standard deviation of this probability distribution is 1.2.

Step-by-step explanation:

We have that:

P(X = 0) = 0.25

P(X = 1) = 0.3

P(X = 2) = 0.1

P(X = 3) = 0.35

Mean:

Each value multiplied by its probability. So

$M = 0*0.25 + 1*0.3 + 2*0.1 + 3*0.35 = 1.55$

Variance:

Sum of the squares of the values subtracted from the mean, and multiplied by its probability.

$V = 0.25*(0-1.55)^2 + 0.3*(1-1.55)^2 + 0.1*(2-1.55)^2 + 0.35*(3-1.55)^2 = 1.4475$

Standard deviation:

Square root of the variance. So

$S = \sqrt{V} = \sqrt{1.4475} = 1.2$

The standard deviation of this probability distribution is 1.2.

6 0

3 years ago

5.607 is what percent of 89 step by step

MrMuchimi

Answer:

6.3%

Step-by-step explanation:

so 5.607 = x% * 89

to find the percent u need to divide : 5.607/89 which is : 0.063

to convert 0.063 to a percent multiply 0.063 by 100 = 6.3%

check :

6.3% *89 = 5.607

4 0

3 years ago

Determine if each pair of ratios or rates is equivalent. Explain your reasoning. 288 miles on 12 gallons of fuel; 240 miles 10 g

lesantik [10]

Yes they are equivalent. This is because if you simplify each fraction : 288/12 and 240/10 they both equal 24.
$\frac{288}{12} = 24$
$\frac{240}{10} = 24$

3 0

3 years ago