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3 years ago

12

What’s the equation for the table attached

1 answer:

sashaice [31]3 years ago

5 0

Answer:

y = - $\frac{1}{2}x$ + 8

Step-by-step explanation:

So the y-intercept is already given; (0, 8)

So lets calculate the slope; $\frac{y_{2} -y_{1} }{x_{2}-x_{1}}$

$\frac{7-8}{2-0} =-\frac{1}{2}$

The slope is - $\frac{1}{2}$

Let's put it in slope-intercept form;

y = - $\frac{1}{2}x$ + 8

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Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-s

notsponge [240]

Answer:

a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) 0 is the most likely value for X.

Step-by-step explanation:

For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used 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.

No-show rate of 10%.

This means that $p = 0.1$

Four travelers who have made hotel reservations in this study.

This means that $n = 4$

a) What is the probability that at least two of the four selected will turn to be no-shows?

This is $P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)$

In which

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

$P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486$

$P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036$

$P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001$

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0486 + 0.0036 + 0.0001 = 0.0523$

0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) What is the most likely value for X?

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

$P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.6561$

$P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916$

$P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486$

$P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036$

$P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001$

X = 0 has the highest probability, which means that 0 is the most likely value for X.

7 0

3 years ago

I need help fr!! ignore the writing lol

Romashka [77]

Answer:

-40

Step-by-step explanation:

(-7)(5)-5=-35-5=-40

8 0

2 years ago

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Determine the perimeter of quadrilateral CGHI

Murljashka [212]

Answer:

if the sides are 2, 3, 4.2, 2.6 then the perimeter is 11.8

Step-by-step explanation:

just add them together

5 0

2 years ago

Macey wants to plant 96 potatoes in her garden. She wants each row to have the same number of potatoes. What is one possible way

arlik [135]

Answer:

Macey could make 16 rows in her garden.

Step-by-step explanation:

96/16=6

So she can have 16 rows with 6 potatoes

7 0

2 years ago

Read 2 more answers

10. Which table represents a function?

pochemuha

C is the answer. (X) can’t be repeated

4 0

3 years ago