Imagine that 200 mice are sent through the maze one at a time. the researchers believed that the probability of a
mouse turning left due to the food is 0.7. how many left turns would they expect from 200 mice?

We expect 140 mice to turn left.

Step-by-step explanation:

Given : The researchers believed that the probability of a  mouse turning left due to the food is 0.7.

So , if we imagine that 200 mice are sent through the maze one at a time. .

Then , the number of mice we expect that turned left = (Probability of a  mouse turning left ) x (Total mice)

Therefore , the number of mice we expect that turned left = (0.7)x(200)

i.e. the number of mice we expect that turned left =140

Hence, We expect 140 mice to turn left.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b