Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067
Step-by-step explanation:
Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancy of the brand of tire in miles.
µ = mean
σ = standard deviation
From the information given,
µ = 40000 miles
σ = 5000 miles
The probability that a randomly selected tire will have a life of exactly 47,500 miles
P(x = 47500)
For x = 47500,
z = (40000 - 47500)/5000 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.067
35 + 0.10m = 25 + 0.15m
35 - 25 = 0.15m - 0.10m
10 = 0.05m
10 / 0.05 = m
200 = m.....the price will be the same at 200 miles...they will both cost : $ 55
Answer:
See the figure attached
Step-by-step explanation:
Let's call :
x: positive response
y: negative response
then the score is:
2x - 3y
A career placement test eliminates a profession when a person receives a score of 18 or less, that's represented by the following inequality:
2x - 3y ≤ 18
the smaller number is 13 and the larger one is 18.
Let's say that the smaller number is x and the larger one is y.
Giving the equation x + 5 = y
This would also make the equation y^2-x^2= 155
to solve let's simplify to find what y^2 is in x terms.
y^2 = (x+5) (x+5) = x^2 +10x + 25.
therefore x^2 + 10x + 25 -x^2= 155
10x + 25 = 155
10x = 130
x = 13
y = 18
Answer:
<h3>246.6 meters per hour</h3>
Step-by-step explanation:
Step one:
Speed uphill 100meters per hour
Speed on flat ground 120 meters per hour
Speed uphill 150 meters per hour.
Required
The average speed.
Step two:
To get the average speed, let us add all the individual speeds and divide by 3(three different speeds), then multiply the result by 2(the return trip)
Average speed= (100+120+150)*2/3
Average speed= 740/3
Average speed= 246.6 meters per hour
