Answer:
0.3431
Step-by-step explanation:
Here, it can work well to consider the seeds from the group of 18 that are NOT selected to be part of the group of 15 that are planted.
There are 18C3 = 816 ways to choose 3 seeds from 18 NOT to plant.
We are interested in the number of ways exactly one of the 10 parsley seeds can be chosen NOT to plant. For each of the 10C1 = 10 ways we can ignore exactly 1 parsley seed, there are also 8C2 = 28 ways to ignore two non-parsley seeds from the 8 that are non-parsley seeds.
That is, there are 10×28 = 280 ways to choose to ignore 1 parsley seed and 2 non-parsley seeds.
So, the probability of interest is 280/816 ≈ 0.3431.
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The notation nCk is used to represent the expression n!/(k!(n-k)!), the number of ways k objects can be chosen from a group of n. It can be pronounced "n choose k".
Answer:
Step-by-step explanation:
I hope these are people in vehicles travelling toward each other.
80 mh * t + 40 mph * t = 420 miles
The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles
80t + 40t = 420
120t = 420
t = 420/120
t = 3.5
So after driving 3.5 hours, the two cars will meet.
So the distance between subway stop and house is 19 units
Step-by-step explanation:
The distance formula will be used to calculate the distance between home and subway.
Here (x1,y1) are the coordinates of first point
and
(x2,y2) are the coordinates of second point
Given
(x1,y1) = (7, -6)
(x2,y2) = (-9,5)
Putting the values in the formula
Rounding off to nearest unit gives us 19.
So the distance between subway stop and house is 19 units
Keywords: Distance, distance formula
Learn more about distance at:
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15% = 0.15
tip = 15 * 0.15 = 2.25
5% = 0.05
tax = 15 * 0.15 = 0.75
total = 15 + 0.75 + 2.25 = $18
