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2 years ago

5

What is the domain and range? Is the relation a function? Explain why or why not. {(2, 0), (5.0), (0.5), (0, 2)}

1 answer:

agasfer [191]2 years ago

8 0

Answer:

Domain: {0, 2, 5}

Range: {0, 2, 5}

The relation is not a function since the 0 appears more than once as an x-coordinate.

Step-by-step explanation:

The domain is the set of the x-coordinates.

The range is the set of the y-coordinates.

If any value appears more than once as an x-coordinate, it is not a function.

Domain: {0, 2, 5}

Range: {0, 2, 5}

The relation is not a function since the 0 appears more than once as an x-coordinate.

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According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o

Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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

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

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

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

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that $p = 0.304$

100 such adults

This means that $n = 100$

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

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

$P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803$

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

7 0

2 years ago

I kinda forgot how to do things like 2 divided by 5. plz help

pentagon [3]

Answer:

the answer 0.4

Step-by-step explanation;

4 0

2 years ago

Plz help, 15 points!

Eduardwww [97]

Answer:

$2x+3y=-6$

Step-by-step explanation:

Let the line is $y=mx+b$ where $m$ is slope and $b$ is $y-intercept$ .

The line is parallel to $2x+3y=3$ , slope of both the lines will be same.

Find the slope of $2x+3y=3$

$3y=3-2x\\y=-\frac{2}{3}x+1$

Slope of line $=-\frac{2}{3}$

$m=-\frac{2}{3}$

So the line will be $y=-\frac{2}{3}x+b$

It passes through $(3,-4)$ .

$-4=-\frac{2}{3}\times 3+b\\-4=-2+b\\b=-2\\$

Hence the line is $y=-\frac{2}{3}x-2$

$y=-\frac{2}{3}x-2\\3y=-2x-6\ \ \ \ \ \ \ (Multiply both sides by 3)\\2x+3y=-6$

6 0

2 years ago

saul85 [17]

Answer:

$29,005.97

Step-by-step explanation:

Cn = Co * (1 + i)^n

Cn = 104,986.99(1+.05/1)^(1*5)

Cn = 104,986.99(1+.05)^5

Cn = 104,986.99(105)^5

Cn = 104,986.99(1.2763)

Cn = 133,992.96, total money at end

133,992.96-104,986.99= $29,005.97, interest accumulated

4 0

2 years ago

What is the constant of proportionality

Rama09 [41]

It's another word for unit rate if that helps

6 0

3 years ago