Answer:
B. (x + 16) + (6x − 4) = 180
Step-by-step explanation:
The Theorem of Cyclic Quadrilaterals states that in any quadrilateral located within a circle, the angles opposite to each other will sum to 180 degrees. Therefore, the conclusion can be drawn:
∠A + ∠C = 180° leading to (x + 16) + (6x - 4) = 180°
∠B + ∠D = 180° which equates to x + (2x - 16) = 180°
Answer:
Here’s the answer below.
Step-by-step explanation:
Finished Product A 1 2 3 4
Gross Requirements 20 20 50 30
Scheduled Receipts 25
Planned Delivery 0
Projected on Hand Inventory 30 10 15 40 10
Planned Order Release 0
safety stock 10
To determine the future value of an initial amount of $845 at an interest rate of 11.3% over 7 years, we will utilize the compound interest formula, which is expressed as:
A=p(1+r/100)^n
where:
A=future value
r=rate=11.3%=0.113
time=7 years
Hence, the future value of the capital will be:
A=845(1+0.113)^7
A=845(1.113)^7
A=$1,787.82
Here’s a counterexample: consider
Select the subsets in the following manner:
It's accurate that 
and 
and that 
, but 
Part A:
Considering the best possible outcome
The ideal case occurs if the two missing socks are from the same pair.
Consequently, there are 4 complete pairs remaining.
To choose 2 from the total of 10 socks (5 pairs), the number of combinations is given by 10C2 = 45.
Choosing 2 that are from the same pair means selecting one from 5 pairs, so the count is 5C1 = 5.
Thus, the probability for this best case is 5 / 45 = 1 / 9.
Part B:
Considering the worst-case outcome
This scenario occurs when the two missing socks are from different pairs.
As a result, we have 3 complete pairs left.
The total ways to select 2 socks from 10, again, is 10C2 = 45.
To select 2 that do not belong to the same pair, we calculate as follows: 10C2 - 5C1 = 45 - 5 = 40.
Therefore, the probability for the worst-case scenario is 40 / 45 = 8 / 9.
