Answer:
z = 4
y = -1
x = 2
Step-by-step explanation:
x - y = 3
Therefore => x = 3 + y
y + 2z =7
Therefore => y= 7 - 2z
We have the equation :
2x + 3y + 4z = 17
2(3 + y) + 3(7 - 2z) + 4z = 17
6 + 2y + 21 - 6z +4z = 17
2(7 -2z) - 2z + 27 = 17
14 - 4z - 2z + 27 = 17
-6z + 41 = 17
-6z = -24
z = 4
Answer:
l = 40
Step-by-step explanation:
Since Perimeter comes from P = 2l + 2w so 180 = 2l + 2(50)
180 = 2l + 100
180-100 = 2l
80 = 2l
so l = 40
Answer: B. Shifts right 5
Explanation:
When the number after the variable is in the parentheses, the transformation will be opposite of the sign. In this problem, the sign for 5 is negative so you would be going right 5 units because right is positive so that would be the opposite of the sign.
The number is 66.
Solution:
Let the number be x.
To find the number x using given conditions.
Start with the last condition.
It is less than 7 times 8 + 23 = 7 × 8 + 23 = 79
So, the number is less than 79 which implies x < 79.
Using condition (4),
It is greater than 5 times 4 = 5 × 4 = 20
So, the number is greater than 79 which implies x > 20.
Combining condition (4) and (7), we get 20 < x < 79.
Using condition (3) and (5),
The number is a multiple of 11 and 6.
The number which is multiplied by both 11 and 6 is 66, 132, ...
But here x lies between 20 < x < 79.
So x = 66.
66 is not odd number and the sum of the digits is divisible by 2.
Therefore condition (1) and (2) also satisfied.
Hence the number is 66.
Solution :
I have a lottery ticket that will pay off $ 10 with a 45% chance and a friend of mine has a chance of 20% by paying off $ 25.
It is based on Double risk dilemma.
Individual --- trade ticket (-1) ----24 (win(25) (0.20))
----- -1 (lose ) (0.80)
----- keep trade -------10 (win 10) (0.45)
----- 0 (lose) (0.55)
Next, solve the decision tree using expected monetary value.
EVM (keep ticket) = 0.45 (10) + 0.55 (0) = $ 4.50
EVM (trade ticket) = 0.20 (24) + 0.80 (-1) = $ 4
Therefore, we keep the ticket and do not trade.
