The color red can only appear 0,1 or 2 times. We also have that there are in total 9 outcomes. Hence, each event has the same probability, 1/9. Since the definition of probability is the number of favorable outcomes over the total number of outcomes, we get that since in 1 outcome we have both spins turning red, the probability of 2 times appearing red is 1/9. We also have 4 spins where there is only one red; rb, rg, gr, br. Hence, the probability is 4/9. Now, we have 4 outcomes where there is no red. Hence, the probability for 0 reds is also 4/9.
Succinctly P(0 reds)=4/9, P(1 red)=4/9, P(2 reds)= 1/9
Answer:
11.2 miles
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
The side you are given is adjacent to the given angle, and the side you are asked to find is opposite the given angle. You can fill in the given values and solve for the required measure.
tan(66°) = BC/(5 mi)
Multiplying by 5 mi gives ...
BC = (5 mi)·tan(66°) = (5 mi)·2.246 = 11.23 mi ≈ 11.2 mi
Answer:
476
Step-by-step explanation:
because if you do the reverse way its 68 x 7 which is 476 and if your not sure if your answer is right check it by doing 476/68 and see if it equals 7
hope it helps
Part (a)
This sequence is arithmetic because we are adding 4 to each term to get the next term. Nice work on getting the correct answer here.
To get the nth term of an arithmetic sequence, we'll use the formula below
an = a + d(n-1)
In this case, a = 14 is the first term and d = 4 is the common difference
So we have these steps
an = a + d(n-1)
an = 14 + 4(n-1)
an = 14 + 4n - 4
an = 4n + 10
Answer: 4n + 10
============================================
Part (b)
This sequence is geometric since we multiply each term by 4
The common ratio is r = 4 and the start term is a = 2.
So the nth term is....
an = a*(r)^(n-1)
an = 2*(4)^(n-1)
Answer: 2*(4)^(n-1)