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3 years ago

If x = 3 and f(x) = 45 what is the linear equation

Mathematics

1 answer:

faust18 [17]3 years ago

8 0

Answer:

Step-by-step explanation:

x=3 f(x)=45

45/3=f

f=15

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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 fewer that 5 in a sample of 20 pills 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

3 years ago

Wat is .54 as a fraction?

Kazeer [188]

Answer:

9/20

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If a group of distinct objects can be arranged in 120 different ways, how many objects are there? 3 4 5 6

igomit [66]

Look At The Picture.

5 0

3 years ago

Read 2 more answers

Grant needs 2/3 cup of raisins and 3/4 cup of almonds to make trail mix, which statement can be used to find out if their are mo

deff fn [24]

To solve this problem, you must find a common denominator. First, you multiply the denominators together, then, multiply the numerator of the first fraction by the original denominator of the second fraction and vis-versa.

3*4 = denominator of both
2*4 = numerator of first fraction
3*3 = numerator of second fraction

Your fractions should end up being 8/12 cups of raisins and 9/12 cup of almonds. You can now compare these fractions.

Overall, there are 1/12 more almonds than raisins.

8 0

3 years ago

How to change 50/12 to a mixed number?

11111nata11111 [884]

A mixed number is one that has an integer along with a proper fraction, so that would be (for this improper fraction):

50/12 = 4 1/6

12 goes into 50, 4 times with a remainder of 2

you get: 4 and 2/12, but 2/12 can be reduced further to 1/6

so that's how i got the answer of 4 1/6

7 0

3 years ago