Answer:
Step-by-step explanation:
answer is [0,11)
f(x) = x+4 is the first function
We plug in -4 for x in f(x) = x+4
f(-4) = -4 + 4 = 0
So the graph starts at (-4,0)
Now plug in 3 for x in f(x) = x+4
f(3) = 3 + 4 = 7
So the first function ends at (3,7)
Second function is f(x) = 2x - 1
We plug in 3 for x in f(x) = 2x-1
f(3) =2(3)-1 = 5
So the second graph starts at (3,5)
We plug in 6 for x in f(x) = 2x-1
f(6) =2(6)-1 = 11
So the second graph ends at (6,11)
3<=x<6 so 6 is excluded from x
The range of the following piece wise function is 0 to 11
answer is [0,11)
Answer:
D
Step-by-step explanation:
it is linear because it is a straight line, and positive because the x and y are both increasing
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Find Volume of 1 tennis ball:
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Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³
Volume of 1 tennis ball = 8.18 in³
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Find Volume of 3 tennis balls:
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Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³
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Find Volume of teh cylindrical canister:
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Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)
Volume of the cylindrical canister = 52.99 in³
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Find unoccupied space:
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Unoccupied space = 52.99 - 24.54
Unoccupied space = 28.45 in³
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Answer: 28.45 in³
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Answer:
Step-by-step explanation:
Given that in a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about their past travel experience.
Since the two are drawn without replacement the first trial affects the second trial. In other words, each trial is not independent of the other.
a) Hence this cannot be binomial experiment. The reason is p=probability for each trial is not constant as first draw affect the probability for Ii draw
b) The probability that in a random sample of 2, no one has been abroad
=Prob of selecting both people from the group where no one has been abroad
We have in the group 35% i.e. 14 people never been to abroad
So required probability = Prob of selecting both from 14 people
=
