Answer:
Step-by-step explanation:
Step 1:
Step 2:
Then multiply both by 1000
It cant be simplifyed further so its in simplest form
The slope (m) is the change in Y over the change in X.
Slope = Y/X
The slope is given as -3/4 , so y would be 3 and X would be 4.
Y = 3
Answer:
y = f(x-2) + 1
Step-by-step explanation:
The original functions looks like f(x) = |x|
For the new function the vertex has shifted -2 left (x) and up +1 (y)
So
y = f(x-2) + 1
Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
We are asked to solve for the taxable income. Given and solution are shown below:
Allowances = $63.46 * 2 (since he claims two allowances each week)
Salary = $293.23 per week
Total income for 1 week = $ 293.23 + ($63.46 * 2)
Total income for 1 week = $420.15
In 1 year = $420.15 * 4 weeks in a month * 12 months
In 1 year =$ 20, 167.2
Taxable income is $20,167.2
