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2 years ago

How would you find an interquartile range with just numbers?

Mathematics

1 answer:

Stolb23 [73]2 years ago

8 0

Answer:

IQR is 3.5

Step-by-step explanation:

Step 1: Organize the numbers in numerical order

0,0,2,2,3,4,6,8

Step 2: Break the set up into quartiles (4 parts)

0 0 | 2 2 | 3 4 | 6 8

Step 3: Find the average of each quartile

0 | 2 | 3.5 | 7

Step 4: Find the IQR (Q3-Q1)

3.5-0=3.5

Therefore, the IQR is 3.5

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Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.

Tems11 [23]

Answer:

The area of the triangle is $\sqrt{3}$

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is = $\frac{1}{2}(base \times height)$

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE = $\sqrt{(0-1)^2 + (0-1)^2}$

DE = $\sqrt{(-1) ^2 + (-1)^2$

DE = $\sqrt{1+1}$

DE = $\sqrt{2}$

Base = $\sqrt{2}$

Height is DF

DF = $tan(60^{\circ}) \times DE$

DF = $\sqrt{3} \times DE$

DF = $\sqrt{3} \times\sqrt{2}$

Now, the area of the triangle is

= $\frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})$

= $\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})$

= $\frac{1}{2}(2\sqrt{3} )$

= $\sqrt{3}$

6 0

3 years ago

Look at the graph and choose the correct answer.

RideAnS [48]

So it’s -3 and the second one is +4

4 0

3 years ago

The average price for a gallon of gasoline in the United States is $3.73 and in Russia it is $3.40 (Bloomberg Businessweek, Marc

Brut [27]

Answer:

b. what percentage of the gas stations in Russia charge less than $3,50 per gallon im not sure though

Step-by-step explanation:

5 0

3 years ago

Estimate the solution to the system of equations. asap, please!! I will mark for brain list

Darya [45]

Answer:

(1 $\frac{1}{3}$ , 2 $\frac{1}{3}$ )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = $\frac{20}{15}$ = $\frac{4}{3}$ = 1 $\frac{1}{3}$

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

$\frac{4}{3}$ + 2y = 6

2y = 6 - $\frac{4}{3}$ = $\frac{14}{3}$ ( divide both sides by 2 )

y = $\frac{7}{3}$ = 2 $\frac{1}{3}$

7 0

3 years ago

M+5n=p for m Solving for a variable

Verdich [7]

Answer:

M=p-5n

Step-by-step explanation:

Here we are given that M+5n=p

We are asked to solve this equation for M. In order to do that we will follow these steps.

Subtracting 5n from both sides we get

M+5n-5n=p-5n

M=p-5n

Hence , now we have our M as dependent variable, whose value depends on the values of p and n. One or both of them can be independent variable/.

5 0

3 years ago