Answer:
Mean = 6
Median = 6
Mode = 5 and 6
Step-by-step explanation:
Mean - Add all numbers together then subtract from how many numbers are there.
Median - Arrange your numbers in numerical order. Then count how many numbers you have. After that you pick the number in the middle.
Mode - This question has a two modes because there are two number that both appear the same amount of time.
Answer:
amount need to invest in a month = $
40.84
Step-by-step explanation:
given data
Future value A = $500
interest rate r = 4% = 0.04
Time period t = 6 month = 0.5 year
solution
we get here future value formula that is
A = .....................1
here n is 12 in a year and r is are and t is time period
put here value and we get
$500 =
solve it we get
P = $490.11
so amount need to invest in a year= $490.11
and amount need to invest in a month =
amount need to invest in a month = $
40.84
Answer:
(a) The expected value is: $0.40625
(b) The expected value is: $0.4286
Step-by-step explanation:
Solving (a): Raffle 1
Given
per ticket
---- for 1
--- for 2
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
Next, calculate the total amount of the prizes
The expected value E(x) of 1 ticket is calculated as:
Solving (b): Raffle 2
Given
per ticket
---- for 1
--- for 3
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
Next, calculate the total amount of the prizes
The expected value E(x) of 1 ticket is calculated as:
You would start at (0,36) and then move to (1, 24) , (2,12), (3,0) because he gives out 12 bags per hour
Step-by-step explanation:
(4x + y)² - 2z = 16x² + 8xy + y² - 2z
substituting x = 4, y = -2 and z = 6,
= 16(4)² + 8(4)(-2) + (-2)² - 2(6)
= 16(16) + 8(-8) + 4 - 12
= 256 - 64 - 8
= 184
=