Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
30% chance that the company will lose $30000.
40% chance of a break even that there is no loss and no profit.
30% chance that the company will profit $ 60000.
As we know the formula for "Expectation":
So, Expected value will be
Expected value is $9000. So, the company should proceed with the project.
Hence, Option 'A' is correct.
Answer:
24
Step-by-step explanation:
Step 1: We make the assumption that 120 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=120$.
Step 4: In the same vein, $x\%=28.8$.
Step 5: This gives us a pair of simple equations:
$100\%=120(1)$.
$x\%=28.8(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{120}{28.8}$
Step-by-step explanation:
Let the number of singing act be x
Let the number of comedy act be y
If the total act is 14, then;
x+y = 14..... 1
If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:
4.5x + 3.5y = 59 .......... 2
Solve both equation simultaneously for x and y
x+y = 14
45x+35y = 590
.................................
x+y = 14......... *9
9x+7y = 118....... 1
...............................
9x+9y = 126
9x+7y = 118
Subtract both equations
9y-7y = 126-118
2y = 8
y = 8/2
y = 4
Substitute y = 4 into equation 1;
From 1: x+y = 14
x+4 = 14
x = 14-4
x =10
Hence there are 10 singing acts and 4 comedy acts in the show
Answer:
x ≤ -259/9
Step-by-step explanation:
Change into a number equation 9(x + 26) ≤ -25
