Answer:
325 miles and 77 dollars
Step-by-step explanation:
First, create equations. Let x equal the miles driven. The first plan expression is 38 + 0.12x and the second plan expression is 51 + 0.08x. Setting these equal and solve for x: 38 + 0.12x = 51 + 0.08x -> 0.04x = 13 -> x = 325 miles.
The cost is found by substituting it into any of the expressions: 51 + 0.08(325) = 77 or 38 + 0.12(325) = 77
Answer:
8
Step-by-step explanation:
Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271
<u>Using the binomial probability relation</u> :
- P(x = x) = nCx * p^x * q^(n-x)
- p = probability of success = 0.4
- q = 1 - p = 0.6
- n = number of trials = 100
P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)
<u>Using a binomial probability calculator</u> :
P(x ≥ 100) = 0.0271
Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271
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