Answer:
C
Step-by-step explanation:
The formula to find the slope of a line is:
(y2 - y1) / (x2 - x1)
We can substitute the points (-4, 7) and (5, -8) to find the slope:
(-8 - 7) / (5 - (-4))
(-15) / (5 + 4)
(-15) / 9
This can be simplified to
- 5 / 3
which is option C
Answer:
34 weeks
Step-by-step explanation:
Hello!
We can set up an equation to solve for the number of weeks.
Let w = the number of weeks he is saving up.
The equation is 
- 315 is the target amount
- 115 is the current amount
- 10w is the rate of growth
- 140 is the current debt
<h3>Solve for w</h3>
He needs to save up for 34 weeks.
Answer:
Use the Triangle exterior angle theorem. The definition of this theorem, is that the exterior angle you are solving for is the sum of the two opposite interior angles. Set the equation:
80 + x = 3x - 22
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract x and add 22 to both sides.
80 (+22) + x (-x) = 3x (-x) - 22 (+22)
80 + 22 = 3x - x
Simplify.
102 = 2x
Isolate the variable, x. Divide 2 from both sides.
(102)/2 = (2x)/2
x = 102/2
x = 51
Check. Plug in 51 to the equation given.
80 + x = 3x - 22
80 + (51) = 3(51) - 22
131 = 153 - 22
131 = 131 (True).
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This Question is Incomplete
Complete Question
As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. For this sample, X = 396 and S = 100. Using the sample standard deviation as an estimate for the population standard deviation, what size sample should the director choose if she wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with 99% reliability, what size sample should she choose?
Answer:
Sample size n = 16
Step-by-step explanation:
We use the formula for Margin of Error for the question
Margin of Error = z × Standard deviation/√n
Margin of Error = 1
z score for 99% confidence interval = 2.576
Standard deviation = 100
1 = 2.576 × 100/√n
1 × √n = 257.6
√n = 257.6/1
n = √257.6
n = 16.049922118
Approximately = 16
Therefore, the sample size = 16
Answer:
(2,0)
Step-by-step explanation:
To find the x intercept, set y =0 and solve for x
5x-y =10
5x -0 = 10
5x=10
Divide by 5
5x/5=10/5
x=2
(2,0)
