B
The lines are parallel to each other
Answer:
A and B
Step-by-step explanation:
- 3/5 is less than -1/5 because it is farther away from 0 on a number line (also, when it comes to figure out which inequality is true with negative number, the smaller one is going to be greater because it is closer to 0 on a number line)
3/5 is greater than 1/5 because they are both positive and 3/5 is the bigger number
-1/5 is not less than -3/5 because if A is true, than this cannot be true because it is saying the exact opposite.
Answer:
81.85% of the workers spend between 50 and 110 commuting to work
Step-by-step explanation:
We can assume that the distribution is Normal (or approximately Normal) because we know that it is symmetric and mound-shaped.
We call X the time spend from one worker; X has distribution N(μ = 70, σ = 20). In order to make computations, we take W, the standarization of X, whose distribution is N(0,1)

The values of the cummulative distribution function of the standard normal, which we denote
, are tabulated. You can find those values in the attached file.

Using the symmetry of the Normal density function, we have that
. Hece,

The probability for a worker to spend that time commuting is 0.8185. We conclude that 81.85% of the workers spend between 50 and 110 commuting to work.
Find the lowest common denominator for the 3 fractions. It is 12.
Rewrite each fraction with the denominator 12.
1/6 = 2/12
3/4 = 9/12
2/3 = 8/12
2/12 + 9/12 + 8/12 = 19/12
This can be written as the mixed number 1 7/12.
The answer is D) 1 7/12
The answer is 65 degrees because a triangle is 180 degrees in total so if you add 53 and 63 you get 115 and subtract 180-115=65