30 gallons of red paint & 20 gallons of blue paint
Step-by-step explanation:
The ratio of red to blue paint drops to make purple paint is 3 : 2
Therefore the total number of gallon, in this case, fifty (50) is equivalent to the total of two ratios (which is 3 + 2 5)
If 5 in the ratio = 50; what about 2 & 3
5 = 50
2 = x
After cross multiplication;
5x = 50 * 2
X = 100/5
X = 20
The same for ratio 3
5 = 50
3 = y
5y = 50 * 3
y = 150/5
y = 30
The answer is therefore; 30 gallons of red paint to 20 gallons of blue paint
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Answer:
x + y = 15
0.5x + 0.65y = 9
Step-by-step explanation:
x = number of oranges
y = number of apples
total of apples and oranges is 15 so x + y = 15
total cost of apples and oranges is $9 so 0.5x + 0.65y = 9
Calculation
y = 15 - x
0.5x + 0.65(15-x) = 9
0.5x - 0.65x + 9.75 = 9
-0.15x = - 0.75
x = 5
y = 15 - x = 15 - 5 = 10
Answer:
10.2% chance
Step-by-step explanation:
There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.
So we can write it:
=
= .102 or 10.2% chance
For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.
12 * 11 * 10 * 9 = 11880
20 * 19 * 18 * 17 = 116,280
We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.
Answer:
0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: It weighs 2 lbs or more
Event B: Delivered by UPS
15% of the packages that are delivered by UPS weighs 2 lbs or more.
This means that 
More than 2 lbs:
15% of 20%(UPS)
93% of 80%(Not delivered by UPS). So

a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more