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2 years ago

George took a nonstop flight from Dallas to

Mathematics

1 answer:

In-s [12.5K]2 years ago

5 0

It is given in the question that,

George took a nonstop flight from Dallas to Los Angeles, a total flight distance of 1,233 miles. The plane flew at a speed of 460 miles per hour for the first 75 minutes of the flight and at a speed of 439 miles per hour for the remainder of the flight.

Let for x hours, the flight travelled with a speed of 439 miles per hour .

So we have,

$460* \frac{75}{60} + 439*x = 1233$

$575 + 439x =1233
\\
439x = 1233 - 575
\\
439x = 658
\\
x = \frac{658}{439} hours$

And to convert it in minutes, we have to multiply by 60. And on doing so, we will get

$x = \frac{658}{439}*60 =approx \ 90 \ minutes$

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Meeting at least one person with the flu in thirteen random encounters on campus when the infection rate is 2% (2 in 100 people

s344n2d4d5 [400]

Answer:

23.1% probability of meeting at least one person with the flu

Step-by-step explanation:

For each encounter, there are only two possible outcomes. Either the person has the flu, or the person does not. The probability of a person having the flu is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Infection rate of 2%

This means that $p = 0.02$

Thirteen random encounters

This means that $n = 13$

Probability of meeting at least one person with the flu

Either you meet none, or you meet at least one. The sum of the probabilities of these outcomes is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{13,0}.(0.02)^{0}.(0.98)^{13} = 0.7690$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.769 = 0.231$

23.1% probability of meeting at least one person with the flu

6 0

2 years ago

A coin is flipped twice. let y = number of heads obtained, when the probability of a head for a flip equals π.

kompoz [17]

1.57 because pie/2=1.57.

5 0

2 years ago

the diagonal length of a square window is 40 cm. find the area of the window. Btw any help is appreciated ! :)

7nadin3 [17]

Ok so area is length times width. A square has the same sides all around, which is called a quadrilateral. So you would plug in 40 for length and width. 40x40= 1,600 cm^2 <———— is your answer.

Hope this helped :)

7 0

2 years ago

You are planning to hire a full-time electrician who will work 40 hours per week. If you plan on giving this new hire three week

tresset_1 [31]

Option b) 1960 is the total number of hours the electrician worked.

<u>Step-by-step explanation:</u>

It is given that, the full-time electrician will work 40 hours per week.

So, we need to know the total number of hours he could work in twelve months which is one year.

Therefore, one year has a total of 365 days.

<u>To find the number of weeks in twelve months :</u>

Number of weeks = Total days in one year / 7 days of week

⇒ 365 / 7