Answer: the probability that a truck drives between 166 and 177 miles in a day is 0.0187
Step-by-step explanation:
Since mileage of trucks per day is distributed normally, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = mileage of truck
µ = mean mileage
σ = standard deviation
From the information given,
µ = 100 miles per day
σ = 37 miles miles per day
The probability that a truck drives between 166 and 177 miles in a day is expressed as
P(166 ≤ x ≤ 177)
For x = 166
z = (166 - 100)/37 = 1.78
Looking at the normal distribution table, the probability corresponding to the z score is 0.9625
For x = 177
z = (177 - 100)/37 = 2.08
Looking at the normal distribution table, the probability corresponding to the z score is 0.9812
Therefore,
P(166 ≤ x ≤ 177) = 0.9812 - 0.9625 = 0.0187
Answer:
A. C. D.
Step-by-step explanation:
Original: 10-5(2)+(18-11)=7
A: 28/(4)=7
C: 49-43+(1)=7
D: 30-25+(2)=7
Answer:

Step-by-step explanation:
The slope of a line given two points can be found by using the formula

From the question we have

We have the final answer as

Hope this helps you
Answer:
10
Step-by-step explanation:
It is much easier to do this for one die. There is a 1/6 chance that a 3 occurs on a six-sided die. Another way to say that is that the expected number of 3’s that occur on a roll of a six sided die is 1/6. If we let X be 1 if a 3 occurs on the roll and 0.
Now, if the die is rolled 60 times, then we have 60 different values X1, X2,…,X60
Of course, this shouldn’t be all that surprising. After all, we threw the die 60 times, and there are 6 faces, so it seems reasonable that for a fair die, each face should come up about 10 times.
Answer:
A. 2 and-6
Step-by-step explanation:
Like terms are terms that contain the same variables raised to the same powers. In other words, they have the same variables with the same exponents.
So in option A, we have the terms 2 and -6. These terms are not like terms because they do not have the same variables.