Answer:
a) 
And replacing we got:
b) 
And then the expected value would be:
Step-by-step explanation:
We assume the following distribution given:
Y 0 1 2 3
P(Y) 0.60 0.25 0.10 0.05
Part a
We can find the expected value with this formula:
And replacing we got:
Part b
If we want to find the expected value of 
we need to find the expected value of Y^2 and we have:
And replacing we got:
And then the expected value would be:
<span>A. People who were promised free samples of Penelope's Puffy Popcorn for completing the survey</span>
Answer:
see the attachments below
Step-by-step explanation:
When the calculations are repetitive using the same formula, it is convenient to put the formula into a spreadsheet and let it do the calculations.
That is what was done for the spreadsheet below. The formula used is the one given in the problem statement.
__
For doubling time, the formula used is the one shown in the formula bar in the attachment. (For problem 11, the quarterly value was used instead of the monthly value.) It makes use of the growth factor for the period used for the rest of the problem.
The doubling time is in years.
__
The doubling time can also be found using a graphing calculator. In the second attachment, we have written a function that shows the multiplier for a given interest rate r and compounding n. The x-intercept in each case is the solution for t that makes the multiplier be 2. The steeper curve is associated with the higher interest rate.
Answer:
$30341.88
Step-by-step explanation:
Because it says simple interest, use the formula I = Prt.
(I is interest, r is the % rate as a decimal, t is the time)
So, you have to solve the equation,
1755 = P (0.065)(9)
Since 0.065 x 9 = 0.585, the equation can be simplified to
1755 = 0.585P
Then, to get P, you divide both sides by 0.585
P = 1755/0.585 = $30341.88
Answer:
5. 50.3 m²
6. 113.1 cm²
7. 102.1 yards²
8. 50.3 yards²
9. 452.2 ft²
10.379.8 ft²
Step-by-step explanation:
Area of a circle = nr²
The circumference of a circle = 2nr
n = pi = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
radius = diameter / 2
5. (22/7) x 4² = 50.3 m²
6. (22/7) x 6² =113.1 cm²
7. radius = 11.4/2 = 5.7 yards
(22/7) x 5.7² =102.1 yards²
8. radius = 8/2 = 4 yards
(22/7) x 4² = 50.3 yards²
9. 2nr = 75.4 yards
2 x (22/7) x r = 75.4
to find r, divide both sides of the equation by 2 and 7/22
r = 12 ft
Area = (22/7) x 12² = 452.2 ft²
10. 2nr = 69.1 yards
2 x (22/7) x r = 69.1
to find r, divide both sides of the equation by 2 and 7/22
r = 10.99 ft²
Area = (22/7) x 10.99² = 379.8 ft²
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
