Ok, so:
For Part A, we have: P(Z|A)=P(Z and A)/P(A)
And if we replace, we got:
P(Z|A) = (0.15)/(0.25) and this is equal to 0.6.
For Part B, we have: P(A|Z)=P(Z and A)/P(Z)
P(A|Z) = (0.15)/(0.73) and this is equal to 0.205.
She earned $13 per hour for gardening and $10 an hour for office work.
Something is missing there is no given. But here are the given for this question:
Salary = $8.75 per hour
40 hour work week
52 work week per year
5 days of work per week
Gas mileage is 21 miles per gallon
Gas costs is 1.26 per gallon
Average speed is 45 miles per hour
Daily round trip to work and back home is 34 miles
a. Kevin’s annual salary is 8.75 per hour x 40 hour work week x 52 work week per year
= $18,200
b. Kevin will spend on fuel each week:
34 miles daily round trip x 5 day work week divided by 21 miles per gallon x 1.26 per gallon
= $10.20
c. Kevin will spend _ hours on commuting
= 34 miles is the daily round trip x 5 day work week divided by 45 miles average speed per hour
= 3.78 hours
Hope this helps!
Answer:
The positive angle that less than 360° and is conterminal with -289° is 71°
Step-by-step explanation:
- When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
- When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis
- To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°
Let us solve the question
∵ The measure of the angle is -289°
→ Add its measure by 360° to find the positive angle that is conterminal
with it
∵ The measure of the positive angle = -289° + 360°
∴ The measure of the positive angle = 71°
The positive angle that less than 360° and is conterminal with -289° is 71°
