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Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable

Slav-nsk [51]

Answer:

a) Discrete Variable

b) Continuous Variable

Step-by-step explanation:

We are given the following in the question:

Discrete and Continuous:

Discrete data are the data whose value can be expressed in whole number. They cannot take all the values within an interval.
Discrete variables are usually counted than measured.
Continuous variable can be expressed in the form of decimals. They can take any value within an interval.
Continuous variables are usually measured than counted.

(a) The number of free dash throw attempts before the first shot is made.

Since the number of shots made will always be expressed in whole numbers and the number of shots made will counted and not measured. Thus, number of free dash throw attempts before the first shot is made. is a discrete variable.

(b) The distance a baseball travels in the air after being hit.

The distance is a continuous variable as its value can be expressed in decimals. Also distance is always measured and not counted. Thus, distance a baseball travels in the air after being hit is a continuous variable.

4 0

3 years ago

Solve the following system by graphing.

Masja [62]

Hello :
the solution is : (3, -1)
put x= 3 and y = -1
you have : 3-(-1) = 4 and 3+(-1) = 2 ..... right

7 0

3 years ago

Read 2 more answers

The percent increase of the airline ticket is ___%

JulsSmile [24]

Answer:

Step-by-step explanation:

%change=100(final-initial)/(initial)

For just the ticket

%change=100(375-300)/300=25%

For the ticket and baggage fee of $50

%change=100(375+50-300)/300=42%

7 0

3 years ago

An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function?

Vinvika [58]

The points on the graph of the inverse variation are of the form:

(x, 8/x)

<h3>Which ordered pairs are on the graph of the function?</h3>

An inverse variation function is written as:

y = k/x.

Here we know that k = 8.

y = 8/x

Then the points (x, y) on the graph of the function are of the form:

(x, 8/x).

So evaluating in different values of x, we can get different points on the graph:

if x = 1, the point is (1, 8)
if x = 2, the point is (2, 4)
if x = 3, the point is (3, 8/3)
if x = 4, the point is (4, 2)

And so on.

If you want to learn more about inverse variations:

brainly.com/question/6499629

#SPJ1

7 0

2 years ago

James works for a delivery company. He gets paid a flat rate of $5 each day he works, plus an additional amount of money for eve

otez555 [7]

Answer:

(a) The rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b) The rate of change is the same between the two time intervals.

Step-by-step explanation:

The rate of change for a variables based on another variable is known as the slope.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

(a)

Compute the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries as follows:

For, x₁ = 0 and x₂ = 2 deliveries the money earned are y₁ = $5 and y₂ = $9.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{9-5}{2-0}\\\\=\frac{4}{2}\\\\=2$

Thus, the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b)

Compute the rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries as follows:

For, x₁ = 2 and x₂ = 4 deliveries the money earned are y₁ = $9 and y₂ = $13.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{13-9}{4-2}\\\\=\frac{4}{2}\\\\=2$

The rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries is $2.

Compute the rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries as follows:

For, x₁ = 6 and x₂ = 8 deliveries the money earned are y₁ = $17 and y₂ = $21.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{17-21}{8-6}\\\\=\frac{4}{2}\\\\=2$

The rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries is $2.

Thus, the rate of change is the same between the two time intervals.

8 0

3 years ago