Answer:
$92.23
Step-by-step explanation:
If she spent 213.20 in the first month and Mica's total only counts for two months, then you can subtract 213.20 from 305.43 to see how much she spent in the second month.
305.43 - 213.20 = 92.23
The carpenter makes 1/4 of the job per hour.
The assistant makes 1/6 of the job per hour.
When they work together, they make 1/4 + 1/6 = 6/24 + 4/24 = 10/24 = 5/12 of the job each hour.
Thus, it will take 12/5 = 2 2/5 hours = 2 hours and 24 minuets for them to finish the job working together.
Answer:
solved
Step-by-step explanation:
Mean = 12
SD = 2
Answer to part 2) Less than 7 months
P(x < 7)
P(x < 7) = P(z < (7-12)/2) = P(z < -2.5)
This probability can be obtained by referring to the Z table
Thus P(x < 7) = 0.0062
1) Between 7 and 12 months
P(7 < x < 12) = P( x< 12) - P(x < 7)
We have P(x < 12) = 0 ......[because mean = 12]
and P(x < 7) = 0.0062 ...[this we got is part a]
Thus on plugging these values we get
P( 7 < x < 12) = 0.5 - 0.0062 = 0.4938
Thus P(7 < x < 12) = 0.4938
3
Answer:
x = 1/5
Step-by-step explanation:
Step 1: Write equation
-5x - (-7 - 4x) = -2(3x - 4)
Step 2: Solve for <em>x</em>
- <u>Distribute:</u> -5x + 7 + 4x = -6x + 8
- <u>Combine like terms:</u> -x + 7 = -6x + 8
- <u>Add 6x to both sides:</u> 5x + 7 = 8
- <u>Subtract 7 on both sides:</u> 5x = 1
- <u>Divide by 5 on both sides:</u> x = 1/5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)
-1 - (-7 - 4/5) = -2(3/5 - 4)
-1 - (-39/5) = -2(-17/5)
-1 + 39/5 = 34/5
34/5 = 34/5