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ikadub [295]
3 years ago
12

Please help 8 pts please

Mathematics
1 answer:
musickatia [10]3 years ago
8 0

Answer:

12

Step-by-step explanation:

20% of 60

= 0.20 x 60

= 12 percussionists

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a certain pharmaceutical company know that, on average 4% of a certain type of pill has an ingredient that is below the minimum
FinnZ [79.3K]

Using the binomial distribution, it is found that there is a 0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

For each pill, there are only two possible outcomes, either it is acceptable, or it is not. The probability of a pill being acceptable is independent of any other pill, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The sample has 20 pills, hence n = 20.
  • 100 - 4 = 96% are acceptable, hence p = 0.96

The probability that <u>fewer that 5 in a sample of 20 pills</u> will be acceptable is:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

In which

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

P(X = 0) = C_{20,0}.(0.96)^{0}.(0.04)^{20} = 0

P(X = 1) = C_{20,1}.(0.96)^{1}.(0.04)^{19} = 0

P(X = 2) = C_{20,2}.(0.96)^{2}.(0.04)^{18} = 0

P(X = 3) = C_{20,3}.(0.96)^{3}.(0.04)^{17} = 0

P(X = 4) = C_{20,4}.(0.96)^{4}.(0.04)^{16} = 0

0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

A similar problem is given at brainly.com/question/24863377

8 0
2 years ago
Kelly earns 15% more than her sister, and together they earn $999.75. How much does Kelly earn per week?
valina [46]

Answer:

534. 75

Step-by-step explanation:

let the income of kellys sister be x

kellys income=x+15% of x

=23x over 20

x+23x/20=999. 75

or, x=465

kellys income=23×465/20

=534. 75

5 0
3 years ago
What is 12 to 44 simlified
elena-s [515]

\frac{12}{44} simplified is \frac{3}{11}

I got this by dividing both the numerator and denominator by 4

Hope this helps

-AaronWiseIsBae

7 0
3 years ago
Read 2 more answers
Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in t
Gnom [1K]

Answer:

There was a %5 increase

Step-by-step explanation:

You just have to substract 65-60 and you get 5

7 0
3 years ago
Is -18.75 a real number,irrational,rational,integer,whole or natural? it can be more than one choice
Morgarella [4.7K]
It's irrational, number and intiger
4 0
3 years ago
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