Answer:
0.081,0.2621,0.645,0.919
Step-by-step explanation:
Let X be the average speed of a car driving down freeway
Given that X is normal with mean as 70mph with a standard deviation of 5mph.
To convert to Z score we do
a) the probability that a randomly selected car is driving more than 77mph
b) probability that a randomly selected car is driving between 65 and 69 mph
= 
c) the probability that a randonly selected car is driving between 67 and 77mph
=
d) the probability that a randomly selected car is driving less than 77mph
Answer:
The rectangle is 16*18
Step-by-step explanation:
The area of a rectangle is length * width and the perimeter is 2 times length * width
A = l*w
P = 2(l+w)
Replacing A and P
288 = l*w
68 = 2(l+w) => 34 = l+w => 34 - w = l
replacing l in the area
288 = (34 - w) w
w^2 - 34w + 288 = 0
(w - 16)(w - 18)
w = 16
w = 18
replacing in 34 - w = l
you get that when w = 16, l = 18 and when w = 18, l = 16
Answer:
3x + 2
Step-by-step explanation:
Three thousand five hundred eight
Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c
Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4
-4 < 0, therefor there are no roots
(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)
