Answer: 23.4
Explanation: make the volumes equal each other with the ? as x. Then solve.
(12)(18)(32.5)=(25)(12)x
Divide both sides by 12
(18)(32.5)=25x
Solve left side
585=25x
Divide by 25
x=23.4
Answer: 2/25
Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.
First find the probability of selecting a blue marble.
There are 2 favorable outcomes, the blue marbles,
and 10 possible outcomes, all the marbles in the bag.
So the probability of selecting a blue marble is 2/10 or 1/5.
<em>Always reduce when finding probability</em>
<em></em>
Now we find the probability of selecting a green marble.
There are 4 green marbles and 10 total so the probability of
selecting a green marble is 4/10 or 2/5.
Now we multiply the probabilities.
So we have 1/5 x 2/5 or 2/25.
Answer:
Step-by-step explanation: Round to the nearest whole number. In order to find the standard deviation, we first have to calculate the mean (average) of the numbers. To get this we add all the numbers together and then divide by 12 since there are 12 numbers. The mean = 782. Next, we take each number and subtract the mean, taking the result and squaring it.
1. The problem indicates that 300 pounds of oranges were purchased at $0.24 per pound, so the cost is:
300x$0.24=$72
2. A percent of 21% spoilage is expected, which means that 89% of 300 pounds of oranges left, is:
300x0.89=267 pounds of oranges
3. We want to calculate the selling price per pound of 267 pounds of oranges, so let's call this value "x":
Markup %=(Markup/cost)x100
Markup=267x-72
4. The desired markup, based on selling price, is 50%. So, when we substitute the values, we obtain:
(267x-72/72)x100=50
5. Let's clear the "x":
(26700x-7200/72)=50
26700x-7200=50x72
26700x-7200=3600
26700x=3600+7200
x=10800/26700
x=$0.40
x=40 cents
What should the selling price per pound be?
The answer is: 40 cents or $0.40
