-|2x+3| > 2 and <span>-|2x+3| > - 2
</span>-2x+3 > 2
-2x > 2 - 3
-2x > -1
-2x / -2 > -1 / -2
x < 1/ 2
-|2x+3| > - 2
x < 5/2
Answer:
√134
Step-by-step explanation:
Solve for the top line first,
√(5²+3²)
= √34
then for the dotted line,
√(10²+(√34)²)
= √134
Linda should use ...
15 gallons of 80% juice
5 gallons of 60% juice
_____
Let g represent the number of gallons of 80% juice needed. Then (20-g) is the number of gallons of 60% juice Linda will use. The amount of juice in the mixture can be written as
0.80g +0.60(20 -g) = 0.75×20
0.20g = 20(0.75 -0.60) = 20×0.15
g = 20×0.15/0.20 = 15
The amount of 80% juice needed is 15 gallons, so 5 gallons of 60% juice are needed.
Answer:
The mean is 11.5 minutes and the standard deviation is of 6.64 minutes
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean is:
The standard deviation is:
Arrival time of 9:18 am and a late arrival time of 9:41 am.
9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.
Mean:
Standard deviation:
The mean is 11.5 minutes and the standard deviation is of 6.64 minutes
Answer: Total amount earned is $647.68
Step-by-step explanation:
He worked 3 days at his previous salary of $16/hour. If he works 8 hours per day, then the amount he earned working at the previous salary is
16 × 8 × 3 = $384
This week, Mister Campanello got an increase in his salary of 3%. It means that the amount by which his salary increased is
3/100 × 16 = $0.48
His new salary would be
16 + 0.48 = $16.48
If he worked for 2 days at his new salary, then the amount he earned working at the new salary is
16.48 × 8 × 2 = $263.68
Total amount earned is
384 + 263.68 = $647.68
