Answer:
h= 24
Step-by-step explanation:
r= 7
1230.88=3.14×7^2×h/3
1230.88= 153.86h/3
h=1230.88/153.86
h= 24
Answer:
90. 04987916
Step-by-step explanation:
Let HI be a
and GH be c
and GI be b
and <GHI be B
Using the law of Cosines,
b^2= -2ac cos (B) + c^2 + a^2
= -2(42)(60) cos (123)+60^2+42^2
= -5040 cos (123) +3600+1764
= -5040(-0. 544639035) +5364
= 2744. 980736+5364
b^2= 8108. 980736
b= Sqrt ( 8108. 980736)
b= 90. 04987916
Answer:
1/6z.
Step-by-step explanation:
25z^2 / 150z^3
25 divides 6 times into 150 and z^3 / z^2 = z
so the answer is 1/6z.
Hey there!
64 + 8 = 72
so x = 8
Hope this helps
Have a great day (:
Answer: Mathematically Bayes’ theorem is defined as
P(A\B)=P(B\A) ×P(A)
P(B)
Bayes theorem is defined as where A and B are events, P(A|B) is the conditional probability that event A occurs given that event B has already occurred (P(B|A) has the same meaning but with the roles of A and B reversed) and P(A) and P(B) are the marginal probabilities of event A and event B occurring respectively.
Step-by-step explanation: for example, picking a card from a pack of traditional playing cards. There are 52 cards in the pack, 26 of them are red and 26 are black. What is the probability of the card being a 4 given that we know the card is red?
To convert this into the math symbols that we see above we can say that event A is the event that the card picked is a 4 and event B is the card being red. Hence, P(A|B) in the equation above is P(4|red) in our example, and this is what we want to calculate. We previously worked out that this probability is equal to 1/13 (there 26 red cards and 2 of those are 4's) but let’s calculate this using Bayes’ theorem.
We need to find the probabilities for the terms on the right-hand side. They are:
P(B|A) = P(red|4) = 1/2
P(A) = P(4) = 4/52 = 1/13
P(B) = P(red) = 1/2
When we substitute these numbers into the equation for Bayes’ theorem above we get 1/13, which is the answer that we were expecting.