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g100num [7]
3 years ago
15

Alan has read 80​% of a book. He has 4 more pages to finish. How many pages are there in the​ book?

Mathematics
2 answers:
KiRa [710]3 years ago
8 0

Answer:

20 pages

Step-by-step explanation:

If 100%-80%=4 pages

then 20%=4 pages (multipy both sides by 5)

100%=20

20 pages

maw [93]3 years ago
3 0

Answer:

20 pages

Step-by step:

4 pages = 20%

20(5)=100 so 4(5)= 100% of the book

4(5)= 20

the book has 20 pages.

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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
What is 83 divided by 3
Ksivusya [100]
83 divided by 3. 
Exact Form: 83/3
Decimal Form: 27.66666666. . .
Mixed Number Form: 27 2/3
4 0
3 years ago
What is the sum of natural numbers less than 200 neither divisible by 3 nor by 5
Sveta_85 [38]

Step-by-step explanation:

The required sum 

=(1+2+3+...+199)−(3+6+9+...+198)−(5+10+15+...+195)+(15+30+45+...+195)

=2199(1+199)−266(3+198)−239(5+195)+213(15+195)

 

=199×100−33×201−39×100+13×105=10732

8 0
3 years ago
Read 2 more answers
A softball has a diameter of 3.82 inches. How many square inches of material is necessary to cover a softball? Use 3.14 for π
lisabon 2012 [21]

Answer:

45.82 square inches

Step-by-step explanation:

Use the formula for the surface area of a sphere, A = 4\pir²

If the diameter is 3.82 inches, the radius is 1.91 inches.

Plug in 3.14 as \pi and 1.91 as r, and solve:

A = 4\pir²

A = 4(3.14)(1.91²)

A = 45.82

So, approximately 45.82 square inches of material are needed.

6 0
2 years ago
Simplify the expression.<br> 7h+(8.9d)-17+6d-3.4h
zhuklara [117]

Answer: The expression simplified is 14.9d+3.6h-17.

Step-by-step explanation:

5 0
3 years ago
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