Answer:
(a) 0.76
(b) 0.46
(c) 0.58
Step-by-step explanation:
Let's first list the probabilities of each event:
Buyers using online search engine: 0.65
Buyers skipping test drive = 0.11
Buyers that use search engines AND skip test drives = 0.65 * 0.11 = 0.07
(a) To find this probability, we simply need to add the probabilities of the above conditions that meet the criteria of the question. Since all of the above conditions meet the criteria set by the question, we have:
Probability = 0.65 + 0.11
Probability = 0.76
(b) The probability of buyers that do not use search engines = 1 - 0.65 = 0.35
Probability of buyers that do not use search engines OR do skip the test drive = 0.35 + 0.11 = 0.46
(c) Probability of buyers buyers that do not skip test drive = 1 - 0.11 = 0.89
Probability of buyers using online search engine AND not skipping the test drive = 0.65 * 0.89 = 0.58
(It must be noted that question c is phrased wrong. Since both events are independent, i.e buying a car OR skipping the test drive would mean 0.65 + 0.89 = 1.54 (not possible) )
Answer:
104 miles (nearest whole number)
Step-by-step explanation:
Applying Pythagorean theorem which is: c² = a² + b². Where,
c = distance between the two planes = ?
a = distance of the first plane from the airport = 80 - 1 = 79 miles
b = distance of the second plane from the airport = 68 - 1 = 67 miles
c² = 79² + 67²
c² = 10,730
c = √10,730
c = 103.585713
c = 104 miles (nearest whole number)
There are four aces, 12 face cards and 4 7s in a standard 52 card deck. The probability of getting an ace on the first draw is 4/52 or 1/13. For the second draw there are now 51 cards in the deck (assuming the draws are without replacement), so the probability of getting a face card is 12/51. Given an ace and a face card on the first two draws, the probability of a 7 on the third draw is 4/50 or 2/25. The probability of getting all three is 1/13*12/51*2/25.
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Related Questions (More Answers Below)
Let x = your number.
6x = x^2 - 27. Subtract 6x from each side.
0 = x^2 - 6x - 27. Factor
0 = (x-9) (x+3). Set each term equal to zero
(x+3) = 0. Subtract 3 from each side.
x = -3. This is the negative solution.
(x-9) = 0. Add 9 to each side.
x = 9. This is the positive solution.
Answer:
28 quarters and 5 dimes
7(Q)+5(D)
7(4)+5(10)
28Q 50D Q=quarters D=dimes
it would be more efficient to do the substitution method bc its faster and easier