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kotykmax [81]
3 years ago
15

Solve the equation 4 x/4 = 48 for x. Give the exact solution and an approximation to three decimal places.

Mathematics
1 answer:
lesya [120]3 years ago
7 0
(4x)/4=48. First multiply both sides by 4 to remove the /4 by inverse operations; you’re left with 4x=192. Then divide by 4 on both side because of inverse operations; you’re left with x=84. Three decimal places is 84.000
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A person traveling from Seattle to Sydney has three airlines to choose from. 40% of travelers choose airline A, and this airline
dalvyx [7]

Answer:

46.67% probability that they flew with airline B.

Step-by-step explanation:

We have these following probabilities:

A 40% probability that a traveler chooses airline A.

A 35% probability that a traveled chooses airline B.

A 25% probability that a traveler chooses airline C.

If a passenger chooses airline A, a 10% probability that he arrives late.

If a passenger chooses airline B, a 15% probability that he arrives late.

If a passenger chooses airline C, a 8% probability that he arrives late.

If a randomly selected traveler is on a flight from Seattle which arrives late to Sydney, what is the probability that they flew with airline B?

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

So

What is the probability that the traveler flew with airline B, given that he was late?

P(B) is the probability that he flew with airline B.

So P(B) = 0.35

P(A/B) is the probability of being late when traveling with airline B. So P(A/B) = 0.15.

P(A) is the probability of being late. This is the sum of 10% of 40%(airline A), 15% of 35%(airline B) and 8% of 25%(airline C).

So

P(A) = 0.1*0.4 + 0.15*0.35 + 0.08*0.25 = 0.1125

Probability

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.35*0.15}{0.1125} = 0.4667

46.67% probability that they flew with airline B.

5 0
3 years ago
Mika read a 405- page book in 6 hours, how many pages per minute did she read?
barxatty [35]
Divide 405 by 6 which is 67.5
So 67.5 per hour but it wants minutes
So divide 67.5 by 60 (minutes in an hour) and you’ll get 1.125 pages per minute
6 0
3 years ago
Decompose49.67 to to the nearest tenth
Sunny_sXe [5.5K]
49.7 because on work.com
4 0
3 years ago
A T-shirt that costs $12 is now on sale for 15% off. What is the sale price of the t-shirt?
anastassius [24]

Answer:

$14.18

Step-by-step explanation:

just multiply 12 with 100 for percentage and divide it by 85 because there was 15 percent off and you'll get the answer

7 0
2 years ago
Read 2 more answers
87/200,0.44,43.7%,21/50 least to greatest
LUCKY_DIMON [66]
21/50, 87/200, 43.7%, 0.44

hope this helps.
4 0
3 years ago
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