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2 years ago

Which equation is equivalent to (2x^2+4x-7)(x-3)

Mathematics

1 answer:

Rasek [7]2 years ago

5 0

Answer:

2 x^3 - 2 x^2 - 19 x + 21

Step-by-step explanation:

Expand the following:

(2 x^2 + 4 x - 7) (x - 3)

Hint: | Multiply out (x - 3) (2 x^2 + 4 x - 7).

| | 2 x^2 | + | 4 x | - | 7

| | | | x | - | 3

| | -6 x^2 | - | 12 x | + | 21

2 x^3 | + | 4 x^2 | - | 7 x | + | 0

2 x^3 | - | 2 x^2 | - | 19 x | + | 21:

Answer: 2 x^3 - 2 x^2 - 19 x + 21

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3 years ago

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

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2 years ago

A cheetah can travel three hours at top speed for 225 miles how many miles per hour?

jolli1 [7]

Answer:

The answer is 75 miles per hour

Step-by-step explanation:

225÷3=75 ( how many times 3 go into 225)

We can check to see if this answer is correct by multiplying 75 by 3 ( multiply 75 three times)

75×3=225

There for 75 is the correct answer

(I hope this helped you answer your question. If you want to check if I'm correct you can use a calculator! Have a wonderful day!)

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2 years ago