There is a 0.23 probability that a typical convenience store customer buys gasoline. The probability that a customer buys groceries is 0.76 and the conditional probability of buying groceries given that the customer buys gasoline is 0.85.a) Find the probability that a typical customer buys both gasoline and groceries.
Answers
Answer:
The probability that a typical customer buys both gasoline and groceries, P(Ga n Gr) = 0.1955
Step-by-step explanation:
Let the probability that a customer guys groceries be represented by P(Gr) and that of buying gasoline be P(Ga)
Given
P(Gr) = 0.76
P(Ga) = 0.23
P(Gr|Ga) = 0.85
For mutually exclusive events,
P(B|A) = (P(B n A))/P(A)
P(Gr|Ga) = (P(Gr n Ga))/P(Ga)
P(Gr n Ga) = P(Gr|Ga) × P(Ga)
P(Gr n Ga) = 0.85 × 0.23 = 0.1955
Hope this Helps!!!!
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Step-by-step explanation:
Answers
Answers
shee skated for 3 hrs and was charged $21
c(3) = 6(3) + 3
c(3) = 18 + 3
c(3) = 21
correct....so it is c(x) = 6x + 3
C(x) = 6x + 3 (in USD)
Further explanation
Given:
- The fee to rent is $3 for the day.
- Gillian rented skates and skated for 3 hours and was charged $21.
Question:
The equation that represents cost, C(x), ice skating as a function of x, the number of hours of skating.
The Process:
We try solving a word problem about the single variable equation.
Step-1: calculate the cost of skates per hour.
Let the rate of using the skating rink be R per hour. We will seek the value of R.
On that day Gillian rented skating for 3 hours and paid $ 21. The equation that will determine this given by:
Both sides subtracted by 3.
We isolate R on the left side. Both sides are divided by 3.
Hence, the fee of skates per hour is
Step-2: determine the cost equation for ice skating
Let x as the number of hours of skating.
Recall the fee of skates per hour is $6 and the fee to rent is $3 for the day.
Thus, the equation which represents the cost of ice skating as a function of x, the number of hours of skating, will be given by:
(in USD)
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Keywords: the ice skating rink, charges an hourly fee, Gillian rented skates, the equation represents the cost, C(x), a function of x, the number of hours of skating, a word problem, the single variable equation
2. Show how to solve the equation by using the quadratic formula.
3. Round solutions to the nearest tenth if needed.
Answers
Answers
Answer: 8/-18
Step-by-step explanation:
B) 14 feet
C) 28 feet
D) 40 feet