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Sveta_85 [38]
3 years ago
9

Help I’m being timed !

Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0
What's the question??
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Two sets of quadratic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2:
Rainbow [258]
Line 1:
Expanding the vertex form, we have
  x² + 2·1.5x + 1.5² - 0.25 = x² +3x +2
Expanding the factored form, we have
  x² +(1+2)x +1·2 = x² +3x +2
Comparing these to x² +3x +2, we find ...
  • the three expressions are equivalent on Line 1

Line 2:
Expanding the vertex form, we have
  x² +2·2.5x +2.5² +6.25 = x² +5x +12.5
Expanding the factored form, we have
  x² +(2+3)x +2·3 = x² +5x +6
Comparing these to x² +5x +6, we find ...
  • the three expressions are NOT equivalent on Line 2

The appropriate choice is
  Line 1 only
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3 years ago
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The equation is y=2x+10
7 0
2 years ago
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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.

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2 years ago
Find the distance d.Assume that the ratio of d to 120 ft is the same as the ratio of 50 ft to 40 ft
dalvyx [7]

Answer:

since it says implied it would be D. assumed

Step-by-step explanation:

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Which list orders the numbers from least to greatest?
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Answer:

D.

Step-by-step explanation:

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