Answer:
Step-by-step explanation:
There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the bag.
a) Select 3 apples with replacement. Find the probability that all there are green.
- Given that we are taking all apples with replacement, the probability of getting a green apples remains the same in all 3 trials. Therefore the probability here is computed as:
- = (Number of green apples/Total apples)
Therefore 0.0130 is the required probability here.
b) Select 3 apples with replacement. Find the probability that none are red
Probability that none are red is computed here as:
- = (Number of non red apples/Total apples)
Therefore 0.14838 is the required probability here
c) Select 4 apples with replacement. Find the probability that you get at least 2 red apples
- Probability that we get at least 2 red apples when 4 apples are drawn is computed here as:
- = 1 - (Probability that no red apple is taken out when 4 apples are taken out + Probability that 1 red apple is taken out when 4 apples are taken out)
- = 1 - 8C0 x 9C4 + 8C1 x 9C3 / 17C4
Therefore 0.6647 is the required probability here
d) Select 2 apples with replacement. Find the probability that the second apple is yellow given that the first apple is red.
- Given that the first apple is red, we are left with 16 apples out of which 5 are yellow. Therefore the required probability here is computed as:
Therefore 0.3125 is the required probability here
17 = p - 3 - 3p
Add 3 to 17.
20 = p - 3p
Combine p and 3p (addition)
20 = -2p
Divide by (-2p) to find p.
Since a negative divided by a negative equals a positive, -p would turn into a positive p.
-10 = p
About 55.8 (i suggest rounding up to 56) are packed in 480 seconds. just divide 480 by 8.6 to get the answer 55.8
Known information:
- the sum of three numbers: 24
- the smallest number is 2 less than the largest number
- the largest number is equal to the sum of the smallest and middle number.
Let us set up some variables for our terms:
- smallest number --> S
- middle number --> M
- largest number -- L
Let us set up some equations in terms of our known information
- S + M + L = 24
- S = L - 2
- L = S + M
Let us set up everything in terms of L, because in the first equation, we will be able to get rid of all the other variables but L allowing us to solve the equation:
(S + M) + L = 24 ---> L + L = 24
2L = 24
L = 12
Since L = 12, we know that S = L - 2:
S = L - 2 = 12 - 2 = 10
Since now we know that L = 12, and S = 10, and L = S + M:
L = S + M
12 = 10 + M
M = 2
So our answer is 2, 10, 12
Hope that helps!
For this case we must resolve the following inequality:
We apply distributive property to the terms within parentheses:
We add similar terms from the left side of the equation:
We subtract 1 from both sides of the inequality:
We divide between -2 on both sides taking into account that the sense of inequality changes:
Answer:
