Answer:
Step-by-step explanation:
Given
Values: 9/5, 9/5, 2, 9/5
Required
Calculate the sample variance
Sample variance is calculated using:
First, we calculate the mean
becomes
<em>Hence, the variance is 0.01</em>
The solution to this equation is x = 0 or x = 1
To find the solution, you use Desmos and enter x+2 in both one and 2^x+1 in box two. It will graph the lines for you and you take the x-coordinate of the two places where the lines overlap, and they overlap at (0,2) and (1,3).
Answer:
5 hours 22 minutes
Step-by-step explanation:
Let us represent the number of hours that Jeri worked as: h
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour
= $4.50 + $3 × h
= $4.50 + 3h
If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.
= 1.5 × ($4.50 + 3h)
If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?
Hence, we have the final equation;
= 1.5 × ($4.50 + 3h) = $29.25
= 6.75 + 4.5h = 29.25
Collect like terms
= 4.5h = 29.25 - 6.75
4.5h = 22.5
h = 22.5/4.5
h = 5.3571428571
Approximately= 5.36 hours
1 hour = 60 minutes
0.36 hour =
60 × 0.36
= 21.6 minutes
Approximately ≈ 22 minutes
Therefore, Jeri worked for 5 hours 22 minutes
Answer:
x = - 
Step-by-step explanation:
Given
- 2(4x + 3) = 3(x + 1) ← distribute parenthesis on both sides
- 8x - 6 = 3x + 3 ( subtract 3x from both sides )
- 11x - 6 = 3 ( add 6 to both sides )
- 11x = 9 ( divide both sides by - 11 )
x = -
