Brandon works at a small petting zoo with 88 8 8 animals. He was looking at some data showing the masses of the animals. Each animal had a different mass between 22 2 2 and 160 kg160\,\text{kg} 160kg 160, start text, k, g, end text . The zoo then buys a horse that weighs 900 kg900\,\text{kg} 900kg 900, start text, k, g, end text as their 9th9^{\text{th}} 9 th 9, start superscript, start text, t, h, end text, end superscript animal. [Show data] Animal Weight (in kilograms) chicken 22 2 2 duck 33 3 3 goose 55 5 5 barn cat 77 7 7 dog 2727 27 27 goat 3636 36 36 lamb 4545 45 45 pig 160160 160 160 horse 900900 900 900 How does buying the horse affect the mean and median?

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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