Answer:
parallel: -1/2
perpendicular: 2
Step-by-step explanation:
lines that are parallel have the same slope because they never intersect
lines that perpendicular, have the opposite reciprocal slope.
y = mx + b
where m is the slope
y = -1/2x + 6
-1/2 is the slope.
the slope in the equation given: -1/2
the slope parallel to the line given : -1/2
the slope perpendicular : opposite reciprocal, so the opposite of -1/2 is 1/2 and the reciprocal of 1/2 is 2.
Answer:
A
Step-by-step explanation:
hope it helps
C. you have a deficit of 1000
Explanation:
We say that we have a surplus when the net income is more than the total expenses, while we say that we have a deficit when the net income is less than the total expenses.
In this case, the net income is 1500, which is less than the total expenses (2500): so, we have a deficit. In order to calculate the deficit, we can use the formula
deficit = total expenses - net income
Substituting the data of the problem, we find
deficit = 2500 - 1500 = 1000
A. The point estimate of μ1 − μ2 is calculated using the value of x1 - x2, therefore:
μ1 − μ2 = x1 – x2 =
7.82 – 5.99
μ1 − μ2 = 1.83
B. The formula for
confidence interval is given as:
Confidence interval
= (x1 –x2) ± z σ
where z is a value
taken from the standard distribution tables at 99% confidence interval, z =
2.58
and σ is calculated
using the formula:
σ = sqrt [(σ1^2 /
n1) + (σ2^2 / n2)]
σ = sqrt [(2.35^2 /
18) + (3.17^2 / 15)]
σ = 0.988297
Going back to the
confidence interval:
Confidence interval
= 1.83 ± (2.58) (0.988297)
Confidence interval
= 1.83 ± 2.55
Confidence interval
= -0.72, 4.38
