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3 years ago

Which is a solution for 7 (x plus 2) equals 35?

Mathematics

1 answer:

Verdich [7]3 years ago

6 0

7x = 35 (divide by 7 on both sides to get x by itself)
x = 5

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For what value n is 1P3 =nP4?

Serggg [28]

Answer:

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3 years ago

I need help with this.

Sveta_85 [38]

Answer:

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2 years ago

A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each que

Assoli18 [71]

Answer:

Q1) The student has a 0.01% probability of passing the test.

Q2) She has a 99.91% probability of passing in the test.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he gets it correct, or he gets it wrong. So we solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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

And $\pi$ is the probability of X happening.

For this problem, we have that:

Question 1.

There are 50 questions, so $n = 50$ .

The student is going to guess each question, so he has a $\pi = \frac{1}{4} = 0.25$ probability of getting it right.

He needs to get at least 25 question right.

So we need to find $P(X \geq 25)$ .

Using a binomial probability calculator, with $n = 50$ and $\pi = 0.25$ we get that $P(X \geq 25) = 0.0001$ .

This means that the student has a 0.01% probability of passing the test.

Question 2.

Now, we need to find $P(X \geq 25)$ with $\pi = 0.70$ . So $P(X \geq 25) = 0.9991$

She has a 99.91% probability of passing in the test.

7 0

4 years ago

Read 2 more answers

The perimeter of a rectangular garden is 44 meters. The length of the rectangle is 5 less than twice the width. Find the length

defon

9514 1404 393

Answer:

width: 9 m
length: 13 m

Step-by-step explanation:

Let w represent the width. Then the length is 2w-5, and the perimeter is ...

P = 2(L+W)

44 = 2((2w-5) +w)

44 = 6w -10

54 = 6w

9 = w

2(9) -5 = 13 = length

The length of the rectangle is 13 meters; the width is 9 meters.

6 0

3 years ago

What is the equation for the graph shown below?

ValentinkaMS [17]

Answer: D

Explanation:

Since we don't know the y-value of the vertex, let's do this an easy way: plugging in.

Let's use the y intercept since that would be the easiest. Since x=0, the terms with x cancel, and you will get a leading result of -5

A) results in 2, so eliminate it

B) results in -2, so eliminate it

C) results in 5, so eliminate it

D) results in -5, so keep it

Since D was the only one that worked, that is our correct answer.

4 0

2 years ago