Answer:
-3/2=slope
y-int = (0,1)
Equation= Y=-3/2x+1
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
to do this you use y2-y1/x2-x1
so this would be -4-8/1- - 2
-12/3 = -4
Answer:
CI = 21 ± 0.365
Step-by-step explanation:
The confidence interval is:
CI = x ± SE * CV
where x is the sample mean, SE is the standard error, and CV is the critical value (either t score or z score).
Here, x = 21.
The standard error for a sample mean is:
SE = σ / √n
SE = 3.2 / √510
SE = 0.142
The critical value is looked up in a table or found with a calculator. But first, we must find the alpha level and the critical probability.
α = 1 - 0.99 = 0.01
p* = 1 - (α/2) = 1 - (0.01/2) = 0.995
Using a calculator or a z-score table:
P(x<z) = 0.995
z = 2.576
Therefore:
CI = 21 ± 0.142 × 2.576
CI = 21 ± 0.365
Round as needed.
Sara works 46 hours per week
9 hours are overtime and 37 hours are regular time
pay rate at time and a half: 10.20∗1.5=15.30
regular hours plus overtime pay
37∗10.20=377.40
9∗15.30=137.70
Income due to tips
Total hours worked∗60per hour∗20%
46∗60∗.20=552
Weekly Income=Hourly income + tips
Weekly Income=377.40+137.70+552.00
Weekly Income=1067.10
Annual income=Weekly income∗52
Annual income=55489.20
Answer:
b=-7
Step-by-step explanation:
Simplifying
99 = 2(-7b + -3) + 7
Reorder the terms:
99 = 2(-3 + -7b) + 7
99 = (-3 * 2 + -7b * 2) + 7
99 = (-6 + -14b) + 7
Reorder the terms:
99 = -6 + 7 + -14b
Combine like terms: -6 + 7 = 1
99 = 1 + -14b
Solving
99 = 1 + -14b
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '14b' to each side of the equation.
99 + 14b = 1 + -14b + 14b
Combine like terms: -14b + 14b = 0
99 + 14b = 1 + 0
99 + 14b = 1
Add '-99' to each side of the equation.
99 + -99 + 14b = 1 + -99
Combine like terms: 99 + -99 = 0
0 + 14b = 1 + -99
14b = 1 + -99
Combine like terms: 1 + -99 = -98
14b = -98
Divide each side by '14'.
b = -7
Simplifying
b = -7
