Find the distance between the points (4.5,-1.5), (4.5,7.25)<br> The distance is ___

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

3 years ago

Read 2 more answers

All real cube roots of 27

Delvig [45]

The answer is 3, since 3*3*3 equals 27

6 0

3 years ago

Your friend has $100 when he goes to the fair He spends $10 to enter the fair and $20 on food. Rides at the fair cost $2 per nde

mihalych1998 [28]

Answer:

f(x) = -2x + 70

6 0

3 years ago

The students at a community center are participating in a bike riding fundraiser at a local park. A local company is donating $1

Oksi-84 [34.3K]

Answer:

This can not be properly answered, because we do not have the length of each trail.

The first step here will be find the length, in miles, for each of the four trails.

As students choose all four trails, the number of miles that each student will bike is equal to the addition of the lenght of the four trails.

Suppose this number is N.

So each student bike N miles, and the company donates $1.75 per mile. Then the amount of money that a single student is N times $1.75, or N*$1.75

5 0

3 years ago

Find the slope of the line 2x-4y=2

FrozenT [24]

Get y by itself so subtract 2x from both sides. So next it would be -4y=-2x+2. To get y by itself divide both sides by -4. So then it would be y= -2/-4x +2/-4. They both reduce down to y=1/2x-1/2. So the slope is 1/2 because the formula y=mx+b
m=slope. Hope this helps! :)

7 0

3 years ago

Find the distance between the points (4.5,-1.5), (4.5,7.25) The distance is ____.