3x+7=-x-1
move -x to the other side
sign changes from -x to +x
3x+x+7=-x+x-1
3x+x+7=-1
4x+7=-1
move 7 to the other side
sign changes from +7 to -7
4x+7-7=-1-7
4x=-8
Divide by 4 for both sides
4x/4=-8/4
Answer: x=-2
Answer:
It is congruent to the angle F, as they are similar triangles.
Answer:
-9/8, -5/6 -0.78, 0.1, 4
Step-by-step explanation:
since they're negative, it makes them look bigger than others but they're not. I think I got it right. hope I could help!
Answer:
0.32493
Step-by-step explanation:
We have been given that John's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a standard deviation of 5.1 minutes.
We are asked to find the probability that the commute time for a randomly selected day will be between 28 and 34 minutes.
First of all, we will find z-score corresponding to 28 minutes and 34 minutes. Then, we will find area under normal curve between both z-scores.



Now, we need to find the probability between z-score of 1.43 and 0.25.
.
Using formula
, we will get:



Therefore, the probability, that the commute time for a randomly selected day will be between 28 and 34 minutes, is 0.32493.