Answer:
Two thirds of the cars offered for sale within the first year are expected to be lemons.
Step-by-step explanation:
The fraction of cars that are offered for sale within the first year and are lemons can be calculated as follow:
The proportion of lemons for sale within the first year is the product of the proportion of lemons within the new cars (10%) and the proportion that are offered for sale, given that they are lemons (90%):
The proportion of no-lemons that are for sale is the product of the proportion of no-lemons within new cars (90%) and the proportion of this group that are offered for sale (5%):
So the fraction becomes
Answer:
<h2>y-intercept = -72 → (0, -72)</h2>
Step-by-step explanation:
y-intercept is for x = 0.
Put x = 0 to the equation of a function f(x) = (x - 8)(x + 9):
f(0) = (0 - 8)(0 + 9) = (-8)(9) = -72
Answer:
x = -0.24 or 3.73
Step-by-step explanation:
(There's supposed to be a ± between '-b' and the square root)
+ 4x + 1 ( )
a = -1 ( there's no number before so its 1 )
b = 4
c = 1
Substitute into the quadratic equation.
( the is just the multiplication sign )
=
= -0.24 [OR] = 3.73
( The answers are to 2 decimal places )
Answer:
x = -2
Step-by-step explanation:
We can find the slope of the line using
m = (y2-y1)/(x2-x1)
= (5-3)/(-2- -2)
(5-3)/(-2+2)
2/0
The slope is undefined since the denominator is zero
This means we have a vertical line
This is in the form x=
We have points with x=-2 so
x = -2
Answer:
(0, -2)
Step-by-step explanation:
a point on the y-axis. that means x=0.
so, the distance of (5, -2) to (0, y) is the same as the distance from (-3, 2) to (0, y).
the distance between (5, -2) and (0, y) is based on Pythagoras (the differences in x and y directions are the sides of a right-angled triangle, and the distance is its Hypotenuse, its baseline) :
distance² = (5-0)² + (-2 - y)² = 25 + 4 + 4y + y² = 29+4y+y²
but it is also
distance² = (-3-0)² + (2 - y)² = 9 + 4 - 4y + y² = 13 - 4y + y²
so, we get
29 + 4y + y² = 13 - 4y + y²
29 + 4y = 13 - 4y
16 = -8y
y = -16/8 = -2
their, the point on the y-axis being equidistant to both points is (0, -2)