Which of the following themes is culturally specific? the danger of fighting against a powerful enemy the fear of being lost the
2 answers:
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Answer:
There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.
Step-by-step explanation:
We have the following probabilities:
A 15% probability that a participant is classified as a heavy smoker.
A 25% probability that a participant is classified as a light smoker.
A 100% - 25% - 15% = 60% probability that a participant is classified as a non smoker.
A x% probability that a non smoker dies.
A 3x% probability that a light smoker dies.
A 5x% probability that a heavy smoker dies.
This can be formulated as the following problem:
What is the probability of B happening, knowing that A has happened.
It can be calculated by the following formula
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
This problem is:
What is the probability of the participant being a non-smoker, given that he died?
P(B) is the probability that the participant is a non smoker. So
P(A/B) is the probability that the participant dies, given that he is a non smoker. So:
P(A) is the probability that the participant dies:
is the probability that a heavy smoker is selected and that he dies. So:
is the probability that a light smoker is selected and that he dies. So:
is the probability that a non-smoker is selected and that he dies. So:
The probability that a participant dies is:
The probability of the participant being a non-smoker, given that he died, is:
There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.
Answer:
Alandra can fill 60 whole cones
Step-by-step explanation:
The volume of a rectangular prism is V = L × W × H, where
- L is its length
- W is its width
- H is its height
The volume of the cone is V = π r² h, where
- r is the radius of its base
- h is its height
∵ Alandra's rectangular cake pan is 33 cm by 23 cm
∴ L = 33 cm and W = 23 cm
∵ She has enough cake batter to fill it to a depth of 3 cm.
∴ H = 3 cm
→ Find the volume of the batter using the 1st rule above
∵ V = 33 × 23 × 3
∴ V = 2277 cm³
∵ Alandra wants to pour the batter into ice cream cones
∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm
∴ h = 9 cm
∵ r = diameter =
(4)
∴ r = 2 cm
→ Substitute them in the 2nd rule above to find the volume of each cone
∵ V = (π) (2)² (9)
∴ V = 12π cm³
→ To find the number of cones divide the volume of the batter by
the volume of each cone
∵ Number of cones = 2277 ÷ 12π
∴ Number of cones = 60.3993
→ We will take the whole number only because we need the whole cones
∴ Alandra can fill 60 whole cones