The first you can multiply first equation by 2, you will get 16x - 12y = - 40, then add first equation to second
16x - 12y - 16x + 7y = - 40 + 30
-5y = - 10
Y= 2;
Then put y to first equation, because it easier.
8x - 2*6=-20
8x = - 8
X= - 1
Answer is x = - 1, y = 2.
Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.
Step-by-step explanation:
Since we have given that
Sample size = 400
Mean = $357.75
Standard deviation = $37.89
At 95% confidence level, z = 1.96
We first find the margin of error.
Margin of error is given by

95% confidence interval would be

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.
The answer would be A. -$16.25. It's negative because that's what Paul owes his dad. You add 10.75 and 5.50 and just turn it negative.
Answer:
slope = 2
Step-by-step explanation:
Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:
(-2, -1) and (0, 3)
Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a <em>rise</em> of 4. The x went from -2 to 0, so that is a <em>run</em> of 2. "rise over run" means rise literally over run in a fraction like this:

The more proper way to calculate slope looks like this, but it's really the same thing in the end:

where (x1, y1) and (x2, y2) are your 2 points.
Finally, the slope of this line is:

That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.
Answer:
Glados makes $44.76 per hour.
Step-by-step explanation:
Given:
Total hours Glados worked this week = 38.4
Amount earned by Glados this week = $1,718.64
To find her hourly earnings for the week.
Solution:
We will use unitary method to find the unit rate.
If for 38.4 hours Galdos earned = $1,718.64
Then for 1 hour she will earn = 
Thus, Galdos' hourly earnings for the week = $44.76