Answer:
Step-by-step explanation:
79 divided by 68 is your answer
You can do the math
Between the probability of union and intersection, it's not clear what you're supposed to compute. (I would guess it's the probability of union.) But we do know that

For parts (a) and (b), you're given everything you need to determine

.
For part (c), if

and

are mutually exclusive, then

, so

. If the given probability is

, then you can find

. But if this given probability is for the intersection, finding

is impossible.
For part (d), if

and

are independent, then

.
Answer:
8710 units
Step-by-step explanation:
<em>Step 1: Write all the data</em>
Fixed cost: $9000
Average variable cost: 9.3 per unit
Total cost: 90,000
Total units: x
<em>Step 2: Find the total variable cost</em>
Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.
Total variable cost = average variable cost per unit x number of units
Total variable cost = 9.3x
<em>Step 3: Make the formula for finding x</em>
Total cost = total fixed cost + total variable cost
90,000 = 9000 + 9.3x
81000 = 9.3x
x = 8709.67
Rounded off to 8710 units
!!
Answer:
see explanation
Step-by-step explanation:
The volume (V) of a cylinder is
V = area of base × height
here area of base = 64π and height = 10, hence
V = 64π × 10 = 640π in³ ← exact value