A national park has two types of bears: Grizzly bears and black bears. A sciantist has reported 9 out of 12 bears she tagged are black bears. Show a model that compares the number of black bears tagged to the number of grizzly bear?

Z = 0.75x + 0.25y

Step-by-step explanation:

Two bear types are identified :

Black bears and Grizzly bears

9 out of 12 = black bears ; Hence, 3 are grizzled

For the model:

For a bear population of Number x

Total bear population = black bear, x + grizzled bear, y

Proportion of black bear = 9/ 12 = 0.75

Grizzled bear = 1 - 0.75 = 0.25

Total bear population , Z= 0.75x + 0.25y

Hence,

Z = 0.75x + 0.25y

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

3,6 and 7.

step-by-step explanation:

a) unit place of 37 is 7

so the unit place of cube of 37 will be

7³= 343=3

the answer is 3.

b) unit place of 56 is 6, so the unit place of cube of 56 will be

6³= 216=6

the answer is 6.

c) unit place of 133 is 3, so the unit place of cube of 133 will be

3³= 27= 7.

the answer is 7.