y = −1/4x^2 + 4x − 19
1. Use x = -b/2a to find x.
x = -4/2(-1/4)
x = -4/(-1/2)
x = -4/1 • (-2/1)
x = 8/1
x = 8
2. Plug x into the function to find your vertex.
Replace every x you see in the function with 8 and do the math.
Take it from here.
The answer is 116 because yo would times 7 by 16 then add 4
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
Answer:
1. $4
2. 1/4 or .25 pints
3. 5 pints
4. $32
Step-by-step explanation:
1. $12/3= $4
2. 1/$4= 1/4 or .25 of a pint
3. $20/$4 = 5 pints
$. 8x$4 = $32
Mark Achin's economic order quantity in units is <u>D. 120 units</u>.
<h3>What is economic order quantity?</h3>
The economic order quantity (EOQ) is the optimal order quantity that minimizes the total costs (ordering, receiving, and holding inventory).
The formula for the economic order quantity is the square root of [2(setup costs)(demand rate)] / holding costs.
<h3>Data and Calculations:</h3>
Annual demand = 3,600
Cost price per unit = $200
Ordering cost = $40
Holding cost per unit = $20
Working days per year = 360
Lead time = 5 days
Economic order quantity (EOQ) = square root of: [2(setup costs)(demand rate)] / holding costs.
= square root of (2 x $40 x 3,600)/$20
= 120
Thus, Mark Achin's economic order quantity in units is <u>D. 120 units</u>.
Learn more about the economic order quantity at brainly.com/question/13386271
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