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sergejj [24]
3 years ago
14

Determine whether the quantitative variable is discrete or continuous. Number of students in a class Is the variable discrete or

​ continuous? A. The variable is continuous because it is not countable. B. The variable is discrete because it is not countable. C. The variable is continuous because it is countable. D. The variable is discrete because it is countable.
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Answer:

D) The variable is discrete because it is countable.      

Step-by-step explanation:

Both discrete and continuous falls under the numeric category.

Discrete variables are the variable that are countable and cannot be expressed in decimal form.

Example: Tosses of a coin, Number of rooms in an house.

Continuous variables on the other hand cannot be counted, they are countable and can be expressed in the form of decimals. Its value can be expressed in the form of interval.

Example: Time, Length.

Now, number of students in a class is a discrete variable since students are countable and they cannot be expressed in decimal form.

So the correct option is D) The variable is discrete because it is countable.

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Please Help Quicly The equation 8x - 4y = 5 is dilated by a scale factor of 8 centered at the origin. What is the new slope and
Rzqust [24]

For new line, slope m=2 and y-intercept c=(-10)

Step-by-step explanation:

<em>Note : Figure given is for reference to understand better.</em>

<em>Where redline is for given line and blueline for new line</em>

<em />

The equation of given line 8x-4y=5 and it is dilated by a scale factor of 8 centered at the origin.

Step 1 : Find two points on given line.

When x=0, y=?

8x-4y=5

8(0)-4y=5

y=\frac{-5}{4}

When y=0, x=?

8x-4y=5

8x-4(0)=5

x=\frac{5}{8}

We get points A(0,\frac{-5}{4}), B(\frac{5}{8},0)

Step 2: Find distance from centered and scale it.

Now, It is said that line 8x-4y=5 dilated by a scale factor of 8 centered at the origin and point A and point B is on same.

So that point A and point B  will also get dilated by a scale factor of 8 centered at the origin or distance of points from origin will be scaled by 8.

For point A:

Distance of point A(0,\frac{-5}{4}) from origin is ( \frac{-5}{4})  unit in x-direction and zero \frac{-5}{4})  unit in y-direction.

After scaled by factor of 8, the distance will multipy by 8 and new location is A'(0,-10)

For point B:

Distance of point B(\frac{5}{8},0) from origin is (\frac{5}{8}) unit in x-direction and zero unit in y-direction.

After scaled by factor of 8, the distance will multipy by 8 and new location is B'(5,0)

Step 3: Find Equation of new line.

Points A'(0,-10) and B'(5,0) make a new line

The equation of given as

\frac{y-Y1}{x-X1} = \frac{Y2-Y1}{X2-X1}

\frac{y-(-10)}{x-0} = \frac{0-(-10)}{5-0}

\frac{y+(10)}{x} = 2

\frac{y+(10)}{x} = 2

y+10= 2x

y= 2x-10

Now, Comparing with the equation of the line : y=mx + c

Where m=slope and c is the y-intercept

We get, Slope m=2 and y-intercept c=(-10)

8 0
3 years ago
I NEED HELP PLS111111111111.////
tigry1 [53]

Answer: 1.4 °F

Step-by-step explanation:

So what I did was -1.7°F + 3.1°F and got 1.4 °F

So 1.4 °F is the answer.

Hope that helps! :}

3 0
3 years ago
free 69 points A rectangular prism has a length of 8 meters, a width of 6 meters, and a height of 3 meters. Which equations coul
anyanavicka [17]

Answer:

V = 8 × 6 × 3

V = 48*3

Step-by-step explanation:

V = l*w*h

We know the length is 8, the width is 6 and the height is 3

V = 8*6*3

V = 48*3

8 0
3 years ago
Read 2 more answers
Please show me how you got the answer thanks.
andriy [413]
85/11.9 whatever that works out to
5 0
3 years ago
Please help 10 point question!
Vsevolod [243]

Answer:

not sure about 1

for number 2 it is 5 over 4 . for y, 5 10 15 20 is a multiple of 5 so the change is 5. for x, 4 8 12 16 is a multiple of 4 so the change is 4.

8 0
3 years ago
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