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3 years ago

What is the median value of the data set shown on the line plot?

Mathematics

1 answer:

maria [59]3 years ago

6 0

Answer: 30

Step-by-step explanation:

You put the numbers from least to greatest. 27,28,28,29,29,29,30,30,30,31,31,31,33,34. Then the median would be 30 and 30. So then you would add the two numbers 30 + 30 then divide by 2. 60/2 and the answer would be 30. Hopefully that was helpful.

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Need help with this math problem

Shkiper50 [21]

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Step-by-step explanation:

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Taking a bottom-left corner of the graph as (0,0)

Given Line AB,

Point A is located as (4,9)

Point B is located as (16,1)

The slope of AB is

$=\frac{Y1-Y2}{X1-X2}$

$=\frac{9-1}{4-16}$

$=\frac{8}{-12}$

$=\frac{-2}{3}$

The question says " Draw a line passes through C(13,12) and parallel to Line AB "

Now, Let the equation of the target line is y=mx + c

Where m=slope and c is the y-intercept

The target line is parallel to the line AB

The slope of the Target line = The slope of the Line AB $=\frac{-2}{3}$

m= $=\frac{-2}{3}$

We can write, the equation of the target line is

$y=\frac{-2}{3}x + c$

Also, the Target line is passing through C(13,12)

Point C satisfies the equation

$y=\frac{-2}{3}x + c$

$12=\frac{-2}{3}13 + c$

$12=\frac{-26}{3} + c$

$12+\frac{26}{3}=c$

$c= 12+\frac{26}{3}$

$c= \frac{62}{3}$

Replacing the value

the equation of the target line is

$y=\frac{-2}{3}x + c$

$y=\frac{-2}{3}x + \frac{62}{3}$

$3y= -2x + 62$

It is also asked that if a line is extended , would it passes through the (18,-8)?

If a line passes through the point (18-,8) then, that point must satisfy the equation of a line

the equation of the target line is $3y= -2x + 62$

$3(-8)= -2(18) + 62$

$(-24)= (-36) + 62$

$(-24)= 26$

Left land side is not equal to right hand side.

Therefore. a line does not pass through the point (18,-8)

5 0

3 years ago

Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to

steposvetlana [31]

Answer:

bcd

Step-by-step explanation:

4 0

3 years ago

The average number of words in a romance novel is 64,436 and the standard deviation is 17,071. Assume the distribution is normal

damaskus [11]

b. You're looking for the probability

Pr [72,972 ≤ X ≤ 90,043]

Transform X to Z ∼ Normal(0, 1) using the rule

X = µ + σ Z

with µ = 64,436 and σ = 17,071. Then the probability is

Pr [(72,972 - µ)/σ ≤ (X - µ)/σ ≤ (90,043 - µ)/σ]

≈ Pr [0.5000 ≤ Z ≤ 1.5000]

You probably have a z-score table available, so you can look up the probabilities to be about

Pr [Z ≤ 0.5000] ≈ 0.6915

Pr [Z ≤ 1.5000] ≈ 0.9332

and then

Pr [0.5000 ≤ Z ≤ 1.5000] ≈ 0.9332 - 0.6915 = 0.2417

c. The 75th percentile word count that separates the lower 75% of the distribution from the upper 25%. In other words, its the count x such that

Pr [X ≤ x] = 0.75

Transforming to Z and looking up the z-score for 0.75, we have

Pr [(X - µ)/σ ≤ (x - µ)/σ] ≈ Pr [Z ≤ 0.6745]

so that

(x - µ)/σ ≈ 0.6745

x ≈ µ + 0.6745σ

x ≈ 75,950

d. Because the normal distribution is symmetric, the middle 60% of novels have word counts between µ - k and µ + k, where k is a constant such that

Pr [µ - k ≤ X ≤ µ + k] = 0.6

Also due to symmetry, we have

Pr [µ - k ≤ X ≤ µ + k] = 2 Pr [µ ≤ X ≤ µ + k]

⇒ Pr [µ ≤ X ≤ µ + k] = 0.3

Transform X to Z :

Pr [(µ - µ)/σ ≤ (X - µ)/σ ≤ (µ + k - µ)/σ] = 0.3

⇒ Pr [0 ≤ Z ≤ k/σ] = 0.3

⇒ Pr [Z ≤ k/σ] - Pr [Z ≤ 0] = 0.3

⇒ Pr [Z ≤ k/σ] - 0.5 = 0.3

⇒ Pr [Z ≤ k/σ] = 0.8

Consult a z-score table:

Pr [Z ≤ k/σ] ≈ Pr [Z ≤ 0.8416]

⇒ k/σ ≈ 0.8416

⇒ k ≈ 14,367

Then the middle 60% of novels have between µ - k = 50,069 and µ + k = 78,803 words.

7 0

2 years ago

The table shows the record monthly high and low temperatures for a city in Alaska.

Ne4ueva [31]

Answer:

1. june

2. wat dat mean

Step-by-step explanation:

5 0

3 years ago

What is the solution to the expression below? 3 + 11 x 4

STALIN [3.7K]

Answer:

Step-by-step explanation:

5 0

3 years ago

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