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3 years ago

6

a national park charges $26 per adult and $16 per child for rafting down one of their two rivers. Write an algebraic expression

that can be used to represent the total cost for a adults and c children to raft down the wild river

1 answer:

blondinia [14]3 years ago

5 0

26a+16c would be the answer

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F(x) = [x]; g(x) = |x| + 6

Rufina [12.5K]

Answer:

|x| + 6

Step-by-step explanation:

For F= (x) substitute x with g(x) = |x| + 6

6 0

3 years ago

At a local company, 15% of the employees are women. every day, 9% of them bring their lunch to work, while only 3% of the men br

fenix001 [56]

Answer:

a) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

b) 0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.

c) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

Questions a/c:

Questions a and c are the same, so:

Event A: Brings lunch to work.

Event B: Is a woman.

Probability of a person bringing lunch to work:

9% of 15%(woman)

3% of 100 - 15 = 85%(man). So

$P(A) = 0.09*0.15 + 0.03*0.85 = 0.039$

Probability of a person bringing lunch to work and being a woman:

9% of 15%, so:

$P(A \cap B) = 0.09*0.15$

Desired probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.039} = 0.3462$

0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

Question b:

Event A: Woman

Event B: Brings lunch

15% of the employees are women.

This means that $P(A) = 0.15$

Probability of a person bringing lunch to work and being a woman:

9% of 15%, so:

$P(A \cap B) = 0.09*0.15$

Desired probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.15} = 0.09$

0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.

4 0

2 years ago

Find the domain of the graphed function. Help me please);

pogonyaev

The correct answer is B. -4<x<2.

This is because the domain is looking for the values of x that can be used in the function. In the picture below, you will notice that the leftmost point is at x = -4. This is as low as the x value goes. The rightmost point is at x = 2, which is as large as the x value gets. Therefore the domain is between those two numbers.

8 0

3 years ago

Given the graph above find an equation for the graph and write your anwser in slope intercept form

lys-0071 [83]

<u>Given:</u>

Given that the graph of a linear function.

We need to determine the equation of the graph in slope intercept form.

<u>Slope</u>:

Consider any two coordinates from the equation of the line to determine the slope.

Let the two coordinates are (-4,3) and (4,-1)

The slope can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates in the above formula, we get;

$m=\frac{-1-3}{4+4}$

$m=\frac{-4}{8}$

$m=-\frac{1}{2}$

Thus, the slope of the equation is $m=-\frac{1}{2}$

<u>Value of y - intercept:</u>

The value of y - intercept is the value of y when x = 0.

Hence, from the graph, it is obvious that the value of y when x = 0 is 1.

Hence, the value of y - intercept is 1.

Thus, y - intercept is $b=1$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y=mx+b$

Substituting the slope $m=-\frac{1}{2}$ and the y - intercept $b=1$

Thus, we get;

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

Thus, the equation of the line is $y=-\frac{1}{2}x+1$

5 0

3 years ago

Plzzzzzzz help me I really need it I will pay

Katena32 [7]

5 degrees is your answer.

EQUATION: 24-19=5

7 0

3 years ago

Read 2 more answers