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3 years ago

14

How is the interquartile range calculated? HELP WITH APEX PLEASE!

2 answers:

AfilCa [17]3 years ago

8 0

By definition the interquartile range or IQR is obtained when the 25th percentile or $Q_{1}$ is subtracted from the 75th percentile or $Q_{3}$ .

Thus, from the above definition, the formula for IQR is:

$IQR=Q_{3}-Q_{1}$

As we can see from the provided options that the definition of IQR matches the expression provided in Option A and thus, Option A is the correct answer.

Viktor [21]3 years ago

3 0

Quartile 3 (Q3) minus quartile 1 (Q1) is right for apex.

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What is the solution of the system? Use elimination.

sweet [91]

Answer:

The solutions to the system of the equations by the elimination method will be:

$x=2,\:z=-1,\:y=2$

Step-by-step explanation:

Given the system of the equations

$2x\:+\:2y\:+z\:=\:7$

$-x-\:y\:+z\:=\:-5$

$x+3y-4z=12$

solving the system of the equations by the elimination method

$\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}$

$\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10$

$\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}$

$-2x-2y+2z=-10$

$+$

$\underline{2x+2y+z=7}$

$3z=-3$

$\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}$

$2x+6y-8z=24$

$-$

$\underline{2x+2y+z=7}$

$4y-9z=17$

$\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}$

Rearranging the equations

$\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}$

solve $3z=-3$ for z:

$z=-1$

$\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1$

solve $4y-9\left(-1\right)=17$ for y:

$4y-9\left(-1\right)=17$

$4y+9=17$

$4y=8$

$y=2$

$\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2$

solve $2x+2\cdot \:2-1=7$ for x:

$2x+2\cdot \:2-1=7$

$2x+3=7$

$2x=4$

$x=2$

Therefore, the solutions to the system of the equations by the elimination method will be:

$x=2,\:z=-1,\:y=2$

5 0

3 years ago

Which number is rational?

NISA [10]

The correct answer is the last choice

8 0

3 years ago

Read 2 more answers

What are the factors of x2 – 4x – 5? Check all that apply.

harkovskaia [24]

When you factor (x^2-4x-5), you get (x+1)(x-5).

7 0

3 years ago

Read 2 more answers

What’s the correct answer?

Julli [10]

Answer: 6 m

This statement:

"Jared has run two-thirds of an 18-kilometer race" can be written as an equation:

$18km.\frac{2}{3}=12km$

This means two-thirds of 18 km is equivalent to 12 km

If we substract this value to the total, we have the values of the kilometers left to run:

$18km-12km=6km$

Therefore the correct option is D

8 0

3 years ago

Please help me answer what letter

Leona [35]

Answer:

3/2

Step-by-step explanation:

Basically just multiply 1/2 by numbers.

1/2 * 2 = 1

1/2 * 3 = 3/2

1/2 * 4 = 2

1/2 * 5 = 5/2

And so on.

3 0

3 years ago