20 points!<br><br> 24, and 25 has to be in simplest form.<br><br>JUST NEED HELP ON 24 AND 25!

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

3. The average distance from the sun to the planet Mercury is about 58,000,000 km. The diameter of a human hair is about 0.0025

zalisa [80]

Answer:

Distance of Sun and Mercury = 58,000,000 km.

In Scientific notation, it would be: 5.8 × 10⁷ Km

Diameter of a human hair = 0.0025 cm

In scientific notation, it would be: 2.5 × 10⁻³ cm

Before Comparison, we need to bring centimeter to Kilometers or vice-versa, so we can easily calculate then, here, we will go from cm to Km.

2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸

Now, we can compare the values,

5.8 × 10⁷ Km > 2.5 × 10⁻⁸

[ reason. - power of smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]

Step-by-step explanation:

8 0

3 years ago

The Miller family drove 357 miles on Monday. They drove a total of 736 miles in 2 days. How many miles did the Miller family dri

Rus_ich [418]

Answer:The Miller family drove 379miles on Tuesday.

Step-by-step explanation:

Amount of miles driven in two days = 736 miles

Amount of miles driven on Monday = 357miles

Therefore Amount of miles driven on Tuesday =Amount of miles driven in two days -mount of miles driven on Monday

= 736miles -357miles

=379miles

4 0

3 years ago

$0.95

natima [27]

Answer:

$11.40, is the actual price, so no

Step-by-step explanation:

If a bagel is $0.95 cents, then multiply that by 12, that would be $11.40, so no, her total is not reasonable, even if you round $0.95 to a dollar, 12x1 would be 12, so you can't estimate that to $16.80

~Akmp10

4 0

3 years ago

Suppose that there are nine students in a discrete mathematics class at a small college. a) Show that the class must have at lea

schepotkina [342]

Answer:

a)There are genders,males and females,so at least(9/2=5) representatives of each gender.

b) If the less than 3 male students then there are more than 6 female students and if the class has less than seven female students than there are more than 2 male students.

8 0

4 years ago

20 points! 24, and 25 has to be in simplest form.JUST NEED HELP ON 24 AND 25!