Answer:
C
Step-by-step explanation:
The n th term formula of a geometric sequence is
= a 
where a is the first term and r the common ratio
Using the second and fourth term, then
ar = 6 → (1)
ar³ = 54 → (2)
Divide (2) by (1)
=
= 9
r² = 9 ⇒ r =
= 3 → C
Yes, this is a right triangle!
The ratio is identifiable as a 3:4:5 triangle, one of the ratios to tell if a triangle is a right triangle
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.
Answer:
f(1)=13
f(-9)=88
f(0)=0
f(-15)=20
The above mentioned are false statements
Step-by-step explanation:
f(1)=13 : false because "13" is out of range -40≤f(x)≤-10
f(-9)=88 : false because "88" is out of range -40≤f(x)≤-10
f(0)=0 : false because "0" is out of range -40≤f(x)≤-10
f(-15)=-20 : false because "-15" is out of domain -10≤x≤20