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3 years ago

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Which of the following relations is a function? A.{(0,2),(1,2),(2,2),(3,2)} B.{(2,0),(2,1),(2,2),(2,3)} C.{(3,5) ,(4,7),(5,9),(5

,11)} D. {(4,5),(6,7),(8,9),(8,11)}

1 answer:

Phantasy [73]3 years ago

6 0

Answer:

A

Step-by-step explanation:

The x values have to be different in order for points not to be on the same vertical line. A function needs to pass the vertical line test.

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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.

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3 years ago

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Find the area of the polygon XYZ that has its vertices at X(–3, 6), Y(–3, 1), and Z(5, 1).

elixir [45]

Hope you can understand

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3 years ago

The carnival charges $5 admission and $0.50 for each ride. Alex's dad gave him $15 to spend. How many rides can he go on at most

Oxana [17]

Let us suppose number of rides is x.One ride costs $0.50.

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Number of rides at most Alex can have can be given by the inequality:

0.50x+5≤ 15

To solve for x we subtract 5 both sides

0.50x≤ 15-5

0.50x≤ 10

Dividing both sides by 0.50 we have :

x≤ 20

Number of rides at most Alex can have is 20.

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Volume of this cone

ArbitrLikvidat [17]

Answer:

669.9 ft³

Step-by-step explanation:

The formula for volume of a cone:

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$r = radius,\pi =pi,h=height.$

The radius is 8; the height is 10.

From here, we can just plug the numbers into the formula.

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$669.866666667$ ≈ $669.9.$

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At midnight the temperature is -6 degrees C. At midday the temperature is 9 degrees C. By how much did the temperature rise? *

Nastasia [14]

Answer:

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Step-by-step explanation:

sorry if it is wrong but I am sure it us 15

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