Answer:
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Explanation:
The figure attached shows the <em>Venn diagram </em>for the given sets.
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<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>
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From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.
There are a total of 7 multiples of 24, from 1 to 15.
Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:
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<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>
The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.
The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.
Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:
Answer:
The answer to your question is 8 h
Step-by-step explanation:
Data
length of the ladder = 200 cm
distance between each rung = 20 cm
rate = 10 cm/h
fifth rung = ?
Process
1.- Calculate the total distance the tide must rise
distance = 20 cm x 4
= 80 cm because the first rung touches the water
2.- Calculate the time
rate = distance / time
-Solve for time
time = distance / rate
-Substitution
time = 80 cm / 10cm/h
-result
time = 8 h
Answer:
$3.50 for 1 quart
Step-by-step explanation:
Answer:
The distance around the lot is 4.05 miles .
Step-by-step explanation:
Formula
As given
i.e
Here
Put in the formula
L.C.M of (8,10) = 40
Perimeter of rectangle = 4.05 miles
Therefore the distance around the lot is 4.05 miles .
Economic Order Quantity
The economic order quantity, that is, the order quantity that minimizes the inventory cost is:
300 cases of tennis balls
Data and Calculations:
Sales of tennis balls for the coming year = 10,000 units
Carrying (holding) costs per case = $10
Cost of placing orders with the manufacturer = $45 per order
Economic Order Quantity (EOQ) = square root of (2 * Annual Demand/Sales * Ordering cost)/Carrying cost per case
= square root of (2 * 10,000 * $45)/$10
= square root of 90,000
= 300 tennis balls
This implies that the distributor will place about 33 orders in the coming year. With each order, the quantity placed is 300 units. This is the economic order quantity that will minimize its inventory cost for the year.
