Suppose that daycare costs are normally distributed with a mean equal to $10,000 a year and a standard deviation equal to $2,000.
what percentage of daycare cost over $10,000?
what percentage of daycare cost between $8,000 and $12,000?
what percentage of daycare cost between $6,000 and $14,000?

50%, 68.26%, 95.54%

Step-by-step explanation:

Let X be the day care costs

X is N(10000, 2000)

Since normal distribution is symmetrical about the mean we get

above 10000, exactly 50% of day care cost would be .

Between 8000 and 12000,

=

Between 6000 and 14000

%

1. perpendicular

2. parallel

3. perpendicular

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