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2 years ago

Use the permutation formula to solve a problem when n = 15 and r = 4.

Mathematics

2 answers:

Zinaida [17]2 years ago

6 0

The anwser is D .........

barxatty [35]2 years ago

3 0

$nPr = \frac{n!}{(n - r)!}$

$15P4 = \frac{15!}{(15 - 4)!} = \frac{15!}{11!} \\ = \frac{15 \times 14 \times 13 \times 12 \times 11!}{11!} \\ 15 \times 14 \times 13 \times 12 = 32760$

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In the game Kazoo, teams lose one point each time they skip a turn. They earn one point each time their team guesses correctly.

IrinaVladis [17]

-2 literally thats it lol

6 0

3 years ago

If you know the area of a circular field is 6358.5 m2, what is the radius of the field?

diamong [38]

Answer:

r = 45 m.

Step-by-step explanation:

pi r^2 = 6358.5

r^2 = 6358.5 / pi

r = √(6358.5 / pi)

= 44.989 m

5 0

2 years ago

A soccersoccer playerplayer who makesmakes 2020% of herher free kicksfree kicks is asked to kickkick free kicksfree kicks until

BlackZzzverrR [31]

Answer:

Yes.

This probability experiment represents a binomial experiment.

Step-by-step explanation:

A binomial probability experiment is the discrete probability distribution of the number of successes in a sequence of n independent experiments. It has only two outcomes - either yes or no.

For this case it is a binomial probability experiment because the only outcomes available are: she either misses the free kick or gets it.

8 0

2 years ago

How many solutions does -3x+15=3(5-x) have

S_A_V [24]

Answer:

Infinite solutions

Step-by-step explanation:

So if simplified it would be

-3x+15=15-3x

Which is basically the same thing if arranged

15-3x=15-3x

-3x+15 can also be 15-3x still the same thing as adding 15 to -3x

So since these are equal anything could be used

like try 0

Both get 15

Try 1

Both get 12

Try legit any number

youll get the same results (I would choose 3 positive easy ones, 0,1,2 and 3 negative ones -1,-2,-3)

7 0

3 years ago

A sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8. If the sample mean corre

jeka57 [31]

Answer:

The value of the sample mean is 78.

Step-by-step explanation:

We are given that a sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8.

Also, the sample mean corresponds to a z score of 2.00.

Let $\bar X$ = sample mean

The z-score probability distribution for a sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 70

$\sigma$ = standard deviation = 8

n = sample size = 4

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, we are given that the sample mean corresponds to a z score of 2.00 for which we have to find the value of sample mean;

So, z-score formula is given by ;

z-score = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{4 } }$

$\bar X = 70+(2 \times 4)$

$\bar X$ = 70 + 8 = 78

Therefore, the value of the sample mean is 78.

3 0

2 years ago