Answer:
0.3339 = 33.39% probability that both Dave and Mike will show up
Step-by-step explanation:
Probability of independent events:
If A and B are independent events, the probability of both happening at the same time is given by:

In this question:
Event A: Dave shows up.
Event B: Mike shows up.
Christine knows that there is a 47% chance that Dave will not show up and a 37% chance that Mike will not show up.
This means that
.
a. What is the probability that both Dave and Mike will show up

0.3339 = 33.39% probability that both Dave and Mike will show up
Answer:
It is known that in the periodic inventory, the accounting record of the stock of goods will occur only at the end of a certain period with the physical count of the existing quantities. Consider the following CVM information = 500.00; Initial Inventory = 700.00 and Purchases = 800.00. Applying the concept of periodic inventory and applying the formula for calculating the CMV, determine the value of the final stock.
ALTERNATIVES
Final stock of 2,000.00.
Final stock of 1,500.00.
Final stock of 1,300.00.
Final stock of 1,200.00.
Final stock of 1,000.00.
Final Stock (EF) = 1,000.00
Step-by-step explanation:
Alternative E - Final stock of 1,000.00.
Given That,
CMV = 500,00
Initial Stock (EI) = 700.00
Purchases (C) = 800.00
Final Stock (EF) = ?
Formula
CMV = Initial Stock (EI) + Purchases (C) - Final Stock (EF)
CMV = EI + C - EF
500 = 700 + 800 - EF
500.00 = 700.00 + 800.00 -X
500 = 1500- EF
500.00 = 1,500.00-X
EF = 1500-500
X = 1,000.00
EF = 1,000.00
Therefore, the final stock is 1,000
Answer:
∠ BOC = 40°
Step-by-step explanation:
∠ AOC = 90° , then
5x + 2x + 20 = 90
7x + 20 = 90 ( subtract 20 from both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Then
∠ BOC = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°
Answer: She will need 36 yards of material.
Step-by-step explanation:
16 × 2¹/₄ can be done different ways,
First multiply ¹/₄ times 16. that is the same as dividing 16/4 = 4
Then multiply 2 times 16 2×16 = 32
Add 32 + 4 = 36
Another way is to change 2¹/₄ to an improper fraction and multiply
⁹/₄ × 16
16
<u> ×9</u>
54
<u> +9 </u>
144
144/4 = 36
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