Answer:
-1/6
Step-by-step explanation:
First find the slope of the line through the points
m = (y2-y1)/(x2-x1)
= (-4-8)/(1-3)
= -12/-2
=6
Now we need to find the slope of the line that is perpendicular
Perpendicular lines multiply to -1
6 * mp = -1
mp = -1/6
Answer:
m = 
Step-by-step explanation:
Given
y = mx + b ( isolate the term in m by subtracting b from both sides )
y - b = mx ( divide both sides by x )
= m
To solve for the confidence interval for the true average
percentage elongation, we use the z statistic. The formula for confidence
interval is given as:
Confidence interval = x ± z σ / sqrt (n)
where,
x = the sample mean = 8.63
σ = sample standard deviation = 0.79
n = number of samples = 56
From the standard distribution tables, the value of z at
95% confidence interval is:
z = 1.96
Therefore substituting the known values into the
equation:
Confidence interval = 8.63 ± (1.96) (0.79) / sqrt (56)
Confidence interval = 8.63 ± 0.207
Confidence interval = 8.42, 8.84
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Answer:there are 14 5point problems and 15 2point problems on the test.
Step-by-step explanation:
x represents number of 5 point questions and y represents questions worth 2 points.
The total number of questions in the test is 29. It means that
x + y = 29
x = 29 - y
Mr. Martin’s math test is worth 100 points. It means that
5x + 2y = 100 - - - - - - - - -1
Substituting x = 29 - y into equation 1, it becomes
5(29 - y) + 2y = 100
145 - 5y + 2y = 100
- 5y + 2y = 100 - 145
- 3y = - 45
y = - 45/-3
y = 15
x = 29 - y = 29 - 15
x = 14
Answer: it would be 2/3
Step-by-step explanation:
