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erik [133]
3 years ago
15

The ideal length of a particular metal rod is 30.5 cm. The measured length may vary from the ideal length by at most 0.015 cm. W

hat is the range of acceptable lengths for the rod?
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0
The lowest value in the range of the acceptable lengths of the rod is that which is 0.015 cm shorter than the ideal. The highest value in the range is that which is 0.015 cm longer than the ideal. From the given, the ideal length is 30.5 cm. Thus, the answer is 30.485 cm to 30.30.515 cm. 
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According to a survey conducted by Netpop Research, 65% of new car buyers use online search engines as part of their car-buying
11111nata11111 [884]

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) )  

5 0
3 years ago
A plane leave an airport and flies due north. (more in photo)
galina1969 [7]

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)

6 0
3 years ago
The first three cards dealt from a
mart [117]
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)
5 0
3 years ago
6 times a number is 27 less than the square of that number. Find the positive solution.
Verdich [7]

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.

6 0
3 years ago
Janson has quarters and dimes in his pocket. he counted 42 coins that added up to $7.50
vlada-n [284]

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

7 0
2 years ago
Read 2 more answers
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