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3 years ago

T(x)=1-2x how do you graph this problem

Mathematics

1 answer:

Eva8 [605]3 years ago

7 0

Answer:

Explained

Step-by-step explanation:

The 1 is the y-intercept

The -2 is the slope

First place a point at (0,1)

Then, because it's negative from left to right the graph is decreasing (going lower on the y-axis the farther you go on the x-axis).

Slope is rise over run so the -2 affects how far it goes. So for each value of x that increases by one, a new point will be two units down and one unit right of the previous point. To graph to the left of the y-intercept then you do that backwards where the next point is two units up and one unit left.

Then just draw a straight line connecting all the points.

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United Flight 15 from New York's JFK airport to San Francisco uses a Boeing 757-200 with 182 seats. Because some people with res

Tcecarenko [31]

Answer:

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

Step-by-step explanation:

For each passenger, there are only two outcomes possible. Either they show up for the flight, or they do not show up. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

A probability is said to be unusually low if it is lower than 5%.

For this problem, we have that:

There are 200 reservations, so $n = 200$ .

A passenger consists in a passenger not showing up. There is a .0995 probability that a passenger with a reservation will not show up for the flight. So $\pi = 0.0995$ .

Find the probability that when 200 reservations are accepted for United Flight 15, there are more passengers showing up than there are seats available.

X is the number of passengers that do not show up. It needs to be at least 18 for the flight not being overbooked. So we want to find $P(X < 18)$ , with $\pi = 0.0995, n = 200$ . We can use a binomial probability calculator, and we find that:

$P(X < 18) = 0.2927$ .

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

5 0

3 years ago

a student played a computer game 500 times and won 370 of these game. he then won the next "x" games and lost none. he has now w

a_sh-v [17]

So, this is a proportion problem. If we express 75% as a fraction (3/4ths), we have:

$\frac{370+x}{500+x}=\frac{3}{4}$

Since he won all of his games, we add the number won (x), to the number previously won and divide it by the total games played which is just the previous games played plus the number of current games played, so since he lost no games we still add x to the denominator as well. Solving this gives us:

$4(370+x)=3(500+x) \implies\\ 1480+4x=1500+3x \implies \\ x=20$

That x value is 20.

3 0

3 years ago

what if 7 dogs are in a room a man with a dog coms in and takes two and leaves his which has 3 pups how many dong are there

aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

7 - 2 + 3 = 8

5 0

3 years ago

Read 2 more answers

What's the gcf of 64 and 48

Illusion [34]

2 times 2 times 2 times 2= 16

6 0

3 years ago

What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet?

son4ous [18]

<span>First find the central angle A in degree. Perimeter circle 2Pi*R --> 360 deg Arc A = 14.13 --> x deg (360*14.13)/2Pi*R = 5086.8/37.68 = 135 deg The pendulum rotates 135 deg in 3 sec. Then, the angular velocity is : 135/3 = 45 deg/sec.

Hope this helps!
</span>

3 0

3 years ago