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solmaris [256]
3 years ago
13

Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable. a. The number

of textbook authors now sitting at a computer b. The height of a randomly selected giraffe c. The responce to the survey question "Did you smoke in the last week" d. The amount of rain in City B during April e. The time it takes to fly from City A to City B f. The number of light bulbs that burn out in the text week in a room with 17 bulbs a. Is the a discrete random​ variable, a continuous random​ variable, or not a random​ variable? A. It is a random variable. B. It is a random variable. C. It is not a random variable.
Mathematics
1 answer:
Fiesta28 [93]3 years ago
6 0

Answer:

Discrete variables are those whose distribution will only take a finite number of values which are represented by integer values only.

Continous variables on the other hand could have an infinite number of points inbetween two integer values. With the values inbetween being decimals.

Step-by-step explanation:

a. The number of textbook authors now sitting at a computer :

A discrete random variable

Number of authors will be an integer value.

b. The height of a randomly selected giraffe ;

Continous random variable

Possible height value : h > 0

c. The responce to the survey question "Did you smoke in the last week"

It is not a random Variable

The response isn't numeric

d. The amount of rain in City B during April

It is a continous random variable

Possible values ; amount of rain > 0

e. The time it takes to fly from City A to City B

It is a continous random variable

Time could take up seconds value ;

Possible values : t > 0

f. The number of light bulbs that burn out in the text week in a room with 17 bulbs

It is a discrete random variable

Number of bulbs is defined

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pantera1 [17]

Answer:

x-intercept: \bigg(\frac{5}{2}, \:0\bigg)

y-intercept: (0,\:5)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x.

-4x + 7 = 2y - 3

-4x+7=2\left(\bold{0}\right)-3

Simplify 2(0):                                          -4x+7=2\cdot \:0-3

Subtract 0 - 3 = -3:                         -4x+7=-3

Subtract 7 from both sides:          -4x+7-7=-3-7

Simplify:                                         -4x=-10

Divide both sides by -4                \frac{-4x}{-4}=\frac{-10}{-4}

\bold{x=\frac{5}{2}}

To find the y-intercept, substitute in 0 for x and solve for y.

-4x + 7 = 2y - 3

-4(\bold{0})+7=2y-3

Switch sides:                               y-3=-4\left(0\right)+7

Simplify -4(0):                              2y-3=-0+7

Add 3 to both sides:                  2y-3+3=7+3

Simplify:                                      2y=10

Divide both sides by 2:             \frac{2y}{2}=\frac{10}{2}

\bold{y=5}

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