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3 years ago

(7a2b)+3c=3c+(7a2b)

Mathematics

1 answer:

Ivahew [28]3 years ago

7 0

The answer is D. Associative Property of Multiplication.

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A test has 20 true/false questions. What is the probability that a student passes the test if they guess the answers? Passing me

Minchanka [31]

Using the binomial distribution, it is found that:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, 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:

There are 20 questions, hence $n = 20$ .

Each question has 2 options, one of which is correct, hence $p = \frac{1}{2} = 0.5$

The probability is:

$P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

In which:

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

$P(X = 15) = C_{20,15}.(0.5)^{15}.(0.5)^{5} = 0.0148$

$P(X = 16) = C_{20,16}.(0.5)^{16}.(0.5)^{4} = 0.0046$

$P(X = 17) = C_{20,17}.(0.5)^{17}.(0.5)^{3} = 0.0011$

$P(X = 18) = C_{20,18}.(0.5)^{18}.(0.5)^{2} = 0.0002$

$P(X = 16) = C_{20,19}.(0.5)^{19}.(0.5)^{1} = 0$

$P(X = 17) = C_{20,20}.(0.5)^{20}.(0.5)^{0} = 0$

Then:

$P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0148 + 0.0046 + 0.0011 + 0.0002 + 0 + 0 = 0.0207$

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

You can learn more about the binomial distribution at brainly.com/question/24863377

6 0

3 years ago

Lines m and p are perpendicular. If the slope of line m is -3, what is the slope of line p?

nika2105 [10]

Answer: The slope of p is 1/3

Step-by-step explanation:

If the lines are perpendicular, this means they are opposite.

Thus, O is opposite P and since O = -3, P = 1/3

4 0

3 years ago

Yes help please thxssssssssssssssssssssssssssss

Charra [1.4K]

Answer=7/20

If there’s 20 total and there’s 7 blue it should be 7/20

3 0

3 years ago

Read 2 more answers

What is the y-value of the solution to the system of equations?<br> 3х + 5y = 1<br> 7х + 4y=-13

Yanka [14]

Set x's equal

21x +35y = 7

21x + 12y = -39

Subtract from one another

23y = 46

Divide

y = 2

Hope this helps ;)

3 0

3 years ago

8m - 6<br> How do u solve it

grandymaker [24]

1 Find the Greatest Common Factor (GCF).

GCF = 22

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2(\frac{8m}{2}-\frac{6}{2})2(

8m

 −

 )

3 Simplify each term in parentheses.

2(4m-3)2(4m−3)

5 0

3 years ago

Read 2 more answers

(7a*2b)+3c=3c+(7a*2b)

(7a2b)+3c=3c+(7a2b)