The two given functions are
x: -3 -2 -1 0 1 2
f(x): -27 8 -1 0 1 8
g(x) = 4 sin(4x) - 3
The y-intercept occurs when x=0.
Therefore,
f(x) has a y-intercept of 0 (from given tabular data).
g(x) has a y-intercept of
g(0) = 4*sin(0) - 3
= 0 - 3
= -3
Answer:
f(x) has the greatest y-intercept.
Answer: $32,625
Step-by-step explanation:
40,000-10,000 = 35,000 ---> how much is taxed
35,000 x .25 = 8,750 = income tax
45,000 - 8,750 = 36,250
36,250 x .1 = 3,625 ---> social security
45,000 (gross pay) - 8,750 (income tax) - 3,625 = 32, 625
Answer:
Step-by-step explanation:
Hello!
The variable of interest is X: number of individuals that hold multiple jobs in a sample of 225.
And you need to calculate the probability of the proportion of individuals being between 0.14 and 0.18.
Considering that the parameter of interest is the proportion and the sample is large enough you can use the standard normal approximation to calculate this interval.
Unfortunately, there is no given value for the population proportion of individuals that have multiple jobs. Let's say, for example, that his proportion is 10%.
You can symbolize the probabilities as:
P(0.14≤X≤0.18)= P(X≤0.18)-P(X≤0.14)
Using the approximation of the standard normal you can standardize these proportion values:
P(Z≤(0.18-0.1)/√[(0.1*0.9)/225])-P(Z≤(0.14-0.1)/√[(0.1*0.9)/225])
P(Z≤4)-P(Z≤2)
Now you have to look for the corresponding values in the table of the Z distribution (right table, positive numbers of Z)
P(Z≤4)-P(Z≤2)= 1 - 0.97725= 0.02275
I hope it helps!
Answer:
scalene
Step-by-step explanation: