Answer:
The probability that all will last at least 30,000 miles is 0.3164.
Step-by-step explanation:
Consider the provided information.
For a particular tire brand, the probability of wearing out before 30,000 miles is 0.25. Someone who buys a set of four of these tires,
That means the probability of not wearing out is 1-0.25 = 0.75
Now use the binomial distribution formula.
Substitute p = 0.25, q=0.75, r=4 and n=4
The probability that all will last at least 30,000 miles is 0.3164.
Given the point:
(x, y) ==> (9, 2)
Let's find the new point of the image after a rotation of 90 degrees counterclockwise about the origin.
To find the image of the point after a rotation of 90 degrees counterclockwise, apply the rules of rotation.
After a rotation of 90 degrees counterclockwise, the point (x, y) changes to (-y, x)
Thus, we have the point after the rotation:
(x, y) ==> (-y, x)
(9, 2) ==> (-2, 9)
Therefore, the image of the points after a rotation of 90 degrees counterclockwise is:
(-2, 9)
ANSWER:
(-2, 9)
Answer:
A. <ECF and <BCF
Step-by-step explanation:
Complementary angles are angles that add up to give 90°
m<BCE = m<BCA = 90° (right angles)
m<ECF + m<BCF = m<BCA
m<ECF + m<BCF = 90° (Substitution)
Therefore, <ECF and <BCF are complementary angles.
Answer:
Approximately 57 minutes.
Step-by-step explanation:
5 ÷ 45 = 1/9
1/9 · 8.5 = 17/18
An hour = 60 mins so
60 ÷ 18 = 10/3
10/3 · 17 = 56.6666667
also known as 56.67 minutes if rounded to hundreds, 56.7 minutes if rounded to the tenths, and 57 minutes if rounded to a whole number.