Answer:
The slope will be 1/2.
Step-by-step explanation:
Sine the lines are perpendicular, the slope of the green line will be the negative reciprocal of the slope of the red line. To find the negative reciprocal of -2, first change the sign. Since the slope is negative, make it positive 2. Then to find it's reciprocal, divide 1 by your answer. 1 divided by 2 is one half, s that is your answer.
Answer:
a) 90.1
b) $35.6
c) 3.0915 hours
Step-by-step explanation:
The z-score measures how many standard deviations a score X is above or below the mean.
It is given by the following formula:

In which
is the mean and
is the standard deviaition.
In all three cases, we have to find X
a. Final exam scores: Allison’s z-score = 2.30, μ = 74, σ = 7.




b. Weekly grocery bill: James’ z-score = –1.45, μ = $53, σ = $12.




Mean and standard deviation in dollars, so the answer also in dollars.
c. Daily video game play time: Eric’s z-score = –0.79, μ = 4.00 hours, σ = 1.15 hours.




Mean and standard deviation in hours, answer in hours.
4/6 5/10 7/12. Hope this helped! :)
Answer:
5.75 - 1/2 times 8 divided by 2 + 6
Step-by-step explanation:
-2 + 3b = 5b - 2(2b + 3) Distribute the -2 through the parentheses.
-2 + 3b = 5b - 4b - 6 Combine like terms
-2 + 3b = b - 6 Bring all "b's" to one side of the equation
-2 + 3b - b = b - b - 6 Combine like terms
-2 + 2b = -6 Bring the 2 to the right side of the equation
-2 + 2 + 2b = -6 + 2 Combine like terms
2b = -4 Isolate b by dividing both sides by 2
b = -4/2 = -2
Answer b = -2