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2 years ago

What is the third quartile of the following data set? 20, 21, 24, 25, 28, 29, 35, 36, 37, 43, 44

Mathematics

2 answers:

ivolga24 [154]2 years ago

8 0

Answer:

Step-by-step explanation:

Before we find quartile, we have to arrange the data set in order first from least to greatest which this problem has already arranged the data for us.

Next, proceed with the calculation. The formula for finding position of quartile is:

$\displaystyle{Q_r = \dfrac{r(N+1)}{4}}$

Where $\displaystyle{Q_r}$ means the rth quartile, N means number of data set. Since we want to find the third quartile, substitute r = 3 and there are 11 data so substitute N = 11:

$\displaystyle{Q_3 = \dfrac{3(11+1)}{4}}\\\\\displaystyle{Q_3 = \dfrac{3(12)}{4}}\\\\\displaystyle{Q_3 = 3\cdot 3}\\\\\displaystyle{Q_3 = 9}$

So the position of third quartile is at 9th position which is 37.

Henceforth, the third quartile is 37.

Norma-Jean [14]2 years ago

6 0

Answer:

37.

Step-by-step explanation:

The data is in ascending order, which is what we need to get the answer.

As there are 11 numbers the 9th number is the upper(third) quartile.

The median ( middle) number is 29 and the upper quartile is the middle number of the 5 numbers to the right of the median.

It is 37.

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Identify the graphed linear equation.

Nuetrik [128]

Answer:

The answer to your question is letter C

Step-by-step explanation:

Process

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A ( 0, 1)

B ( 1, -3)

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$m = \frac{y2 - y1}{x2 - x1}$

$m = \frac{-3 - 1}{1 - 0}$

$m = \frac{-4}{1}$

m = -4

3.- Find the equation of the line

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3 years ago

Find the length of the chord of a circle of radius 100 feet subtended by an angle of 75◦ ?

miskamm [114]

1. By definition, the chord of a circle is a segment that joins the two points of an arch and if it passes through the center of the circle, is called "diameter". There is a formula that you can use to find the chord lenght. This is:

Chord lenght=2rSin(A/2)

2. Let's convert the angle from degrees to radians:

75°π/180°=5π/12

3. So, you have:

r: It is the radius of the circle (r=100 feet).
Sin: It is the sine function.
A: It is the angle subtended at the center by the chord (A=5π/12).

4. When you substitute these values into the formula (Chord lenght=2rSin(A/2)), you obtain the chord lenght:

Chord lenght=2rSin(A/2)
Chord lenght=2(200 feet)(Sin(5π/12/2))

5. Therefore lenght of the chord is:
Chord lenght=18.2706 feet

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3 years ago

Solving Proportions 19/4 = x/4

fredd [130]

Answer:

x = 19

Step-by-step explanation:

To solve proportions, you first need to cross multiply. $\frac{19}{4}= \frac{x}{4}$ , you would need to multiply each top number by 4. 76 = 4x, which then could easily be simplified down to 19 by just dividing by four.

7 0

3 years ago

HELP!! PLEASE!! NEED DONE ASAP I WILL GIVE 100 POINTS AND MORE IF YOU CAN GET ALL 3 QUESTIONS DONE!! THANK YOU!! I WILL ALSO MAR

VARVARA [1.3K]

Answer:

I answered the questions but that formatting is very confusing and discourages anyone for trying to answer.

The last question is confusing. If I got it wrong, tell me. I will try to answer in the comment section then.

Step-by-step explanation:

Kayson is looking at two buildings, building A and building B, at an angle of elevation of 73°. Building A is 30 feet away, and building B is 35 feet away. Which building is taller and by approximately how many feet?

$\text{tan}\theta=\frac{h_{A}}{30} \Rightarrow h_{A}=\text{tan}73\º \cdot 30 \Rightarrow h_{A}\approx 98.12 \text{ feet}$

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$\text{Difference} \approx 16.35$

Building B is around 16.35 feet taller than building A.

A Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?

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a is the opposite side; 6 is the hypotenuse; b is the adjacent side.

Therefore,

$\text{cos}(y)=\frac{b}{6}$

If sin f° = eight ninths and the measure of segment YW is 24 units, what is the measure of segment YX? triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees.

This seems a bit confusing. The angles don't match. We have $90\º+62\º +21\º \approx 173\º$