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3 years ago

What is the five-number summary for the data set? 340 245 322 766 88 455 160 244 483 610 527

Mathematics

2 answers:

damaskus [11]3 years ago

6 0

245 455 527 I hop that helps I wasn't sure

Aleks [24]3 years ago

4 0

Answer:

Minimum Value = 88
First Quartile (Q₁) = 244.5
Median = 340
Third Quartile (Q₃) = 505
Maximum Value = 766

Step-by-step explanation:

The five-number summary includes five things that are:

Minimum Value
First Quartile (Q₁)
Median
Third Quartile (Q₃)
Maximum Value

So,

1. Minimum Value = 88

It can be found by arranging the data in ascending order, the first value we will get is the minimum value.

2. First Quartile is the middle value between Minimum value and Median of data after arranging data in ascending order.

First Quartile (Q₁) = 244.5

3. Median is the middle value of the data after arranging them in ascending order.

Median = 340

4. The third Quartile is the middle value between Median and Maximum Value of data after arranging data in ascending order.

Third Quartile (Q₃) = 505

5. Maximum Value is the largest value of the data or is the last value after arranging the data in ascending order.

Maximum Value = 766.

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a student found the slope of a line that passes through the points (1,14) and (3,4) to be 5. what mistake did she make?

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answer: The student flipped the y values

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Answer:

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3 years ago

The distance between the points (12,9) and (0,4) is A) 14 units B) 13 units C) 15 units D) 16 units

Juliette [100K]

Answer:

Option B 13 units is correct.

Step-by-step explanation:

The formula used to find distance between 2 points is:

$d(P1,P2)=\sqrt{(x_{2} -x_{1})^2 + (y_{2} -y_{1})^2 }$

x₁ = 12 x₂ = 0 y₁= 9 and y₂=4

Putting values in the formula:

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3 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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3 years ago

My cupcake recipe makes 12 cupcakes and requires 3/2 sticks of butter. I can only buy whole sticks of butter. How many whole sti

Alex

We find out the ratio 100: 12= 25/3
We need the number of <span>sticks of butter: 25/3 x 3/2= 25/2=12.5
That means you must buy 13 </span><span>sticks of butter
Have fun</span>

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3 years ago