Caitlyn calculated the probability of the complement of rolling a number greater than 2 on a 6-side number cube. She made her ca
lculation as follows. Did she make an error? Explain.
3 answers:
Answer:
Yes, she made an error because she didn't define the problem correctly.
Step-by-step explanation:
In the picture attached, the complete question is shown.
Let's define
A: rolling a number greater than 2
Complement of an event are all outcomes that are not the event, then the complement of rolling a number greater than 2 is rolling a number less than or equal to 2 (notice that 2 is not greater than 2). The outcomes that satisfied this criteria are {1, 2}, that makes a total of 2 possibilities. In a 6-side number cube there are 6 possible outcomes, then:
p(Complement of A) = 2/6 = 1/3
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Answer:
The volume of the cylinder ≅ 197.82
Step-by-step explanation:
The volume of a cylinder is equal to the area of the base times the height. We know the radius, therefore we can find the area of the base. The formula for the volume of the cylinder is as follows:
V = π
(now substitute the values of "r" and "h", and get...)
V = π
x π
V = (9)(7)π
V = 63π
V ≅ 197.82
Answer:
<u><em>Part A:</em></u> D.
<u><em>Part B:</em></u> C.
Step-by-step explanation:
For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.
The equation:
Now plug in 0 for x.
Now solve.
y = (1)(3)
y = 3
This proves that this is the correct answer.
For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.
The equation:
Now plug in x for 0 and solve:
This equation is true, now we check for the other value of x, 3.
This is also true so that means this is the correct answer.