x is the independent variable.
y is the dependent variable.
-3 is the rate of change (slope).
-7 is the initial value.
Step-by-step explanation:
The form of the linear relation is y = m x + b, where
- m is the rate of change (slope)
- b is the initial value(value of y at x = 0)
- x is the independent variable
- y is the dependent variable
∵ The equation of the line is y = -3 x - 7
- Compare it with the form above
∴ m = -3
∵ m is the rate of change
∴ The rate of change is -3
∴ b = -7
∵ b is the initial value
∴ The initial value is -7
∵ y depends on x
∴ x is the independent variable
∴ y is the dependent variable
x is the independent variable.
y is the dependent variable.
-3 is the rate of change (slope)
-7 is the initial value.
Learn more:
You can learn more about the linear equations in brainly.com/question/4152194
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Let us calculate the median; the 6th observation is 20, so it is 20. We need the 6th observation so that out of the 11 observations we have 5 above the median and 5 below (or equal). We also have that then Q1 is the median of the lowest 5 observations, hence 19 (14,16,19,19,20, the 3rd observation is 19). Similarly, we get that the median for the upper half of the observations, Q3 namely, is 22 (21,21,22,22,23, the 3rd observation is 22). Thus, the interquartile range is 3=Q3-Q1. According to our calculations, all observations are wrong.
Answer:
a) 9.56%
b) 0.0019
Step-by-step explanation:
a) Find the z-scores.
z = (x − μ) / σ
z₁ = (-0.0050) / 0.0030
z₁ = -1.67
z₂ = (0.0050) / 0.0030
z₂ = 1.67
Find the probability using a chart or calculator.
P(Z < -1.67 or Z > 1.67) = 2 P(Z < -1.67)
P(Z < -1.67 or Z > 1.67) = 2 (0.0478)
P(Z < -1.67 or Z > 1.67) = 0.0956
b) Use a chart or calculator to find the z-score.
P(Z < -z or Z > z) = 0.01
P(Z < -z) = 0.005
z = 2.576
Find the standard deviation.
z = (x − μ) / σ
2.576 = (0.0050) / σ
σ = 0.0019
Answer:
$45
Step-by-step explanation:
Here we need to calculate the income of this year.
We know that a year has 52 weeks. And, our payed weeks are 51, they are, the 50 weeks we work plus the one week of paid-vacation. The remaining week does not give us income, as is unpaid. So our total year income is:
51 * $615 = $31,365
So, our surplus will be our income minus our expenses:
Surplus = $31,365 - $31,320 = $45
Our cash surplus is $45
