Answer:
k = 3
Step-by-step explanation:
Given that y and x are directly related then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 81 when x = 27
k = 
= 
= 3
Answer:
Step-by-step explanation:
Remember that
Area of Circle = 
They told us that for this circle, the area is 
If you put it back into the formula for area of a circle we get:
Area of Circle =
Divide both sides by 
.
144 = 
Now we want to solve for r (r = radius).
You need to square root each side
So now we know the radius, 
metres
Also remember that
Diameter = 
So,
Diameter = 2 times 12 = 24 metres
Given that Teresa has a 5 out of 8 chance of making a profit, and an expected value of $1.50 in profit each turn, in the long run she has a better chance of making money than losing it.
Given that Teresa is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8, and the dart lands on a numbered slice at random, and this game is this: Teresa tosses the dart once, and she wins $1 if the dart lands in slice 1, $3 if the dart lands in slice 2, $5 if the dart lands in slice 3, $8 if the dart lands in slice 4, and $10 if the dart lands in slice 5, but she loses $5 if the dart lands in slices 6, 7, or 8, to find the expected value of playing the game, and determine what can Teresa expect in the long run, after playing the game many times, she must perform the following calculation:
- (1 + 3 + 5 + 8 + 10 - 5 - 5 - 5) / 8 = X
- 12 / 8 = X
- 1.5 = X
Therefore, given that Teresa has a 5 out of 8 chance of making a profit, and an expected value of $1.50 in profit each turn, in the long run she has a better chance of making money than losing it.
Learn more about maths in brainly.com/question/15605256
Answer:
11 shirts
Step-by-step explanation:
Since 12 of the 45 minute are devoted to setup, the actual printing time is 33 minutes. At 3 minutes per shirt, that's enough time for ...
(33 min)/(3 min/shirt) = 11 shirts
A batch consists of 11 shirts.
_____
<em>Alternate solution</em>
Another way to consider this is to realize that the setup time is the time required to print 4 shirts. 45 minutes would be enough time to print 45/3 = 15 shirts, but the time for 4 shirts is spent setting up. That leaves the batch size at 15 -4 = 11 shirts.
