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ANEK [815]
3 years ago
12

A non-profit organization provides homeless children with backpacks filled with school supplies. For the last 5 years the organi

zation has given out 278, 310, 320, 242, and 303 backpacks filled with school supplies. What is the average number of backpacks given out in the last five years?
Mathematics
1 answer:
Nady [450]3 years ago
3 0

Answer:

  290.6 backpacks per year

Step-by-step explanation:

The average of 5 numbers is 1/5 of their sum:

  average = (278 +310 +320 +242 +303)/5 = 290.6

The average number of backpacks given out in the last 5 years is 290.6, about 291.

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Solve for d.
Hoochie [10]

Answer:

-8 = d

Step-by-step explanation:

-10 = -2+d

Add 2 to each side

-10 +2 = -2+2 +d

-8 = d

8 0
3 years ago
If the scale factor is 5, how many times larger will the scaled copy's area be?
Lady bird [3.3K]

Answer:

25 times

Step-by-step explanation:

Scale factor is the ratio of dimensions of the image and the preimage.

Scale factor = \frac{\text{Side length of image}}{\text{Side length of preimage}}

Since area of a figure is the square of dimensions.

Area = Length × Width

Therefore, area scale factor will be the ratio of square of the dimensions of image and preimage.

Area scale factor = \frac{\text{Area of the image}}{\text{Area of the preimage}}

                             = (Scale factor)²

                             = 5²

                             = 25

Therefore, area of the image will be 25 times the area of the preimage.

4 0
3 years ago
Is the answer to this question wrong?<br> A) No<br> B)Yes
Murrr4er [49]
What question are you talking about? Leave it in the discussion button so that I could help you solve it. ~ your lovely hacker, 404 ❤️
5 0
3 years ago
A pet store has 8 ​puppies, including 3 ​poodles, 2 ​terriers, and 3 retrievers. If Rebecka selects one puppy at​ random, the pe
Debora [2.8K]

Answer:

9 / 64

Step-by-step explanation:

- In this task you have 2 events and you are looking for a joint probability. The first event is "Rebecca chooses a poodle". The probability of this event is:

                    P ( Rebecca chooses a poodle ) = 3 / 8

- because among 8 dogs there are 3 poodles.

- The second event is "Aaron selects a poodle".

This event has a probability of  that is equivalent to previous selection:

                   P ( Aaron chooses a poodle ) = 3 / 8

- Because after Rebecca's choice the chosen poodle is replaced with the poodle; hence, there are 8 pets in total and among them there are 3 poodles.

- To calculate probability of both events ("Rebeca selects a poodle and Aaron selects a poodle") with replacement you have to multiply both calculated probabilities - condition of independent events :

     P ( Aaron and Rebecca both select poodle ) = 3 / 8 * 3 / 8

                                                                                = 9 / 64

6 0
3 years ago
3. Is XY Tangent to circle Z?<br> Y<br> 12 X<br> (20<br> Z<br> 18
Ratling [72]

Answer:

XY is a tangent

Step-by-step explanation:

Given

XY = 12

WY = 20

WZ = 8

Required

Is XY a tangent?

XY is a tangent if:

WY^2 = XY^2 + WX^2

Because XY should make a right angle at point X with the circle

Where

WX = 2 * WZ

So, we have:

WY^2 = XY^2 + WX^2

WY^2 = XY^2 + (2*WZ)^2

WY^2 = XY^2 + (2WZ)^2

WY^2 = XY^2 + 4WZ^2

This gives:

20^2 = 12^2 + 4*8^2

400 = 144 + 256

400 = 400

<em>Yes, XY is a tangent</em>

4 0
3 years ago
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