Answer:
Step-by-step explanation:
the expression we have is:

To find an equivalent expression, it would be helpful to express 1/3 so that it has a 12 in the denominator:

so we substitute this:

and now we have 1/12 in both terms :

so we can factor it (we take it out of each term: in the first we are left with -x and in the second with -4):
the equivalent expression is:
Part B is not clear and the clear one is;
P(X ≥ 6)
Answer:
A) 0.238
B) 0.478
C) 0.114
Step-by-step explanation:
To solve this, we will make use of binomial probability formula;
P(X = x) = nCx × p^(x)•(1 - p) ^(n - x)
A) 54% of U.S. adults have very little confidence in newspapers. Thus;
p = 0.54
10 random adults are selected. Thus;
P(X = 5) = 10C5 × 0.54^(5) × (1 - 0.54)^(10 - 5)
P(X = 5) = 0.238
B) P(X ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)
From online binomial probability calculator, we have;
P(X ≥ 6) = 0.2331 + 0.1564 + 0.0688 + 0.01796 + 0.0021 = 0.47836 ≈ 0.478
C) P(x<4) = P(3) + P(2) + P(1) + P(0)
Again with online binomial probability calculations, we have;
P(x<4) = 0.1141 ≈ 0.114
Answer:
33/40
Step-by-step explanation:
1/5x8= 8/40
5/8x5=25/40
add them
reduce answer:
33/40
Answer:
3 Degrees
Step-by-step explanation: