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krek1111 [17]
3 years ago
11

Aliyah interviewed 20 people who have just one sibling. She asked them what the difference in age, in years, is between them and

their siblings. The line plot below shows Aliya’s data.
Aliyah removes the point representing the 10- year age difference from her data. Which measures changes the least in value when this point is removed from Aliyah’s data?

A. mean

B. Median

C. Mode

D. Range

ANSWER QUICK PLEASE WORTH 15 POINTS

Mathematics
1 answer:
Gnoma [55]3 years ago
4 0
The correct answer will be option C. Mode.

Mode is the most frequently occurring value of the data. From the above line plot we can see that the most frequently occurring value is 3. Even if 10 is removed from the line plot, 3 will still be the most frequently occurring value and will be the mode of the data. Thus removing 10 does not changes the mode of the data at all.

The mean will obviously be changed. The range is difference of maximum and minimum value. 10 was initially the maximum value. If 10 is removed, the maximum value will change and so does the Range of the data. Removing 10 changes the total number of data values, so the position of median also changes which changes the value of Median.

Therefore, the correct answer to this question is option C
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Skye's two new aquariums each hold exactly 200 gallons of water. One aquarium will hold small fish and the other will hold large
Natasha_Volkova [10]
Answer=140 fish

200 gallons of water in the first aquarium.

200 gallons of water in the second aquarium.

The first will be for the small fishes.

   5 small fish            x fish
_____________=__________
     10 gallons        200 gallons

cross multiply
10x=1000
divide both sides by 10
x=100 small fish

The first aquarium has 100 small fish.

The second aquarium holds large fish.

   8 large fish            x fish
____________=___________
    40 gallons        200 gallons

cross multiply
40x=1600
divide both sides by 40
x=40 large fish

The second aquarium has 40 large fish.

100small fish+40 large fish=140 total fish
7 0
3 years ago
Read 2 more answers
Tina covers the floor of a room with carpeting. She uses carpet squares that measure one foot on each side. How many carpet squa
gizmo_the_mogwai [7]

Answer:

She need <u>96 square feet</u> carpet to cover the room.

Step-by-step explanation:

Given:

Tina covers the floor of a room with carpeting. She uses carpet squares that measure one foot on each side.

Now, to find carpet squares does she need to cover a room that 8 feet wide by 12 feet long.

So, the dimensions of room are:

Length = 12 feet.

Width = 8 feet.

Now, getting the area by putting formula:

<u><em>Area of room = Length × width</em></u>

Area\ of\ room = 12\times 8

Area\ of\ room=96\ square\ feet.

Therefore, she need 96 square feet carpet to cover the room.

3 0
3 years ago
Challenge A movie theater sends out a coupon for 15% off the price of a ticket. Write an equation
marshall27 [118]

Answer:

The equation is y= 0,65 x

If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately  pays (y) is  the original price (x) minus a 35% of this price: y= x -0.35 x . By association: y= (1-0.35) x and then y= 0.65 x.

The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).

Step-by-step explanation:

The price without discount (or without the coupon) is x.

The price with discount (or with coupon) is y.

y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.

4 0
3 years ago
Slope of y=9.12x+10.322
blsea [12.9K]

Answer:

9.12

Step-by-step explanation:

Slope is 'm' in

y = mx + c

7 0
3 years ago
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If the measure of arc CB is 8/3 units, what is the measure of CAB?
Oksanka [162]

Question:

If the measure of arc CB is \frac{8}{3} \pi units, what is the measure of ∠CAB?

Answer:

120°

Step-by-step explanation:

The figure has been attached to this response.

The figure shows a circle centered at A and has a radius of 4 units.

Also, the length of the arc CB (as given in the question) is  \frac{8}{3} \pi units.

The length <em>L </em>of an arc is given by;

L = \frac{\beta }{360} * 2\pi  * r         -----------------(i)

Where;

β = angle subtended by the arc at the center of the circle and measured in degrees

r = radius of the circle

From the question;

β = ∠CAB

r = 4 units

L =  \frac{8}{3} \pi

<em>Substitute these values into equation (i) as follows;</em>

\frac{8}{3} \pi = \frac{\beta }{360} * 2\pi  * 4

=>  \frac{8}{3} \pi = \frac{\beta }{360} * 8\pi

<em>Cancel 8</em>\pi<em> on both sides</em>    

\frac{1}{3} = \frac{\beta }{360}

<em>Cross multiply</em>

3 x β = 360 x 1

3β = 360

<em>Divide both sides by 3</em>

<em />\frac{3\beta }{3} = \frac{360}{3}<em />

β = 120°

Therefore, the measure of ∠CAB is 120°

6 0
3 years ago
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