Answer:
Cylinder A has a volume of 35.34 and Cylinder B has a volume of 58.9, the cylinder B has the greater volume.
Step-by-step explanation:
B= (3.14) 2.5 x 3h = 58.9 Cylinder B = 58.9
A= (3.14) 1.5 x 5h = 35.34 Cylinder A = 35.34
The answer would be 40.2 I'm pretty sure I'm right. I hope I helped!
Answer:
a) P(B'|A) = 0.042
b) P(B|A') = 0.625
Step-by-step explanation:
Given that:
80% of the light aircraft that disappear while in flight in a certain country are subsequently discovered
Of the aircraft that are discovered, 63% have an emergency locator,
whereas 89% of the aircraft not discovered do not have such a locator.
From the given information; it is suitable we define the events in order to calculate the probabilities.
So, Let :
A = Locator
B = Discovered
A' = No Locator
B' = No Discovered
So; P(B) = 0.8
P(B') = 1 - P(B)
P(B') = 1- 0.8
P(B') = 0.2
P(A|B) = 0.63
P(A'|B) = 1 - P(A|B)
P(A'|B) = 1- 0.63
P(A'|B) = 0.37
P(A'|B') = 0.89
P(A|B') = 1 - P(A'|B')
P(A|B') = 1 - 0.89
P(A|B') = 0.11
Also;
P(B ∩ A) = P(A|B) P(B)
P(B ∩ A) = 0.63 × 0.8
P(B ∩ A) = 0.504
P(B ∩ A') = P(A'|B) P(B)
P(B ∩ A') = 0.37 × 0.8
P(B ∩ A') = 0.296
P(B' ∩ A) = P(A|B') P(B')
P(B' ∩ A) = 0.11 × 0.2
P(B' ∩ A) = 0.022
P(B' ∩ A') = P(A'|B') P(B')
P(B' ∩ A') = 0.89 × 0.2
P(B' ∩ A') = 0.178
Similarly:
P(A) = P(B ∩ A ) + P(B' ∩ A)
P(A) = 0.504 + 0.022
P(A) = 0.526
P(A') = 1 - P(A)
P(A') = 1 - 0.526
P(A') = 0.474
The probability that it will not be discovered given that it has an emergency locator is,
P(B'|A) = P(B' ∩ A)/P(A)
P(B'|A) = 0.022/0.526
P(B'|A) = 0.042
(b) If it does not have an emergency locator, what is the probability that it will be discovered?
The probability that it will be discovered given that it does not have an emergency locator is:
P(B|A') = P(B ∩ A')/P(A')
P(B|A') = 0.296/0.474
P(B|A') = 0.625
The domain of a function are its possible input values
The domain of the function is <em>(b) all real numbers greater than or equal to 0.</em>
From the graph, we have the following observations
- <em>t represents time (it is plotted on the x-axis)</em>
- <em>t starts at 0</em>
- <em>t has no end</em>
The above observations imply that; the domain starts from 0
Hence, the domain of the function is the set of all real numbers greater than or equal to 0.
Read more about domain at:
brainly.com/question/2709928
We need to find the unit rate. To do so, divide the amount of money he makes by the number of parts sold. 1,700 / 16 = 106.25. So, if the man sells one computer part, he gets $106.25. To find the price of 30 parts, multiply 106.25 by 30. 106.25 * 30 = $3,187.50
The man will make $3,187.50 if he sells 30 parts.
