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2 years ago

What are the steps to find lower and upper quartiles of a data set

1 answer:

5 0

The lower quartile is the value of the middle of the first set.

The upper quartile is the value of the middle of the second set.

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For each sentence below, find the value of x that makes each sentence true.

vitfil [10]

ANSWER

1. $x=\frac{1}{2}$

2. $x=1$

QUESTION 1

The first sentence is $(5^{\frac{1}{5}})^5=25^x$ .

Recall that;

$(a^m)^n=a^{mn}$

We simplify the left hand side by applying this property to get;

$5^{\frac{1}{5}\times 5}=25^x$ .

$\Rightarrow 5^{1}=25^x$ .

We now rewrite the right hand side too in an index form to obtain;

$\Rightarrow 5^{1}=5^{2x}$

We now equate the exponents to get;

$\Rightarrow 1=2x$ .

$\Rightarrow \frac{1}{2}=x$

$\Rightarrow x=\frac{1}{2}$ .

QUESTION 2

The second sentence is $(8^{\frac{1}{3}})^2=4^x$

We simplify the left hand side first to get;

$(2^{3\times \frac{1}{3}})^2=4^x$

$2^2=4^x$

We now rewrite the left hand side too in index form to obtain;

$2^2=2^{2x}$

We equate the exponents to get;

$2=2x$

This implies that;

$1=x$

$x=1$

4 0

2 years ago

On a coordinate plane, triangle D E F has points (negative 8, 8), (10, negative 2), and (negative 8, negative 8). Find the area

defon

Answer:

144

Step-by-step explanation:

just did it

7 0

2 years ago

Here is a system of equations.

goblinko [34]

Answer:

It should be "one solution"

Step-by-step explanation:

After graphing the equations, the two lines only intersect at one point which makes it "one solution." Hope this helps.

8 0

2 years ago

Read 2 more answers

The area of a triangle with base 10in and height 4 in is 20in^2 40in^2 15in^2 60in^2

natta225 [31]

1/2(BH)

=1/2(10*4)

=1/2(40)

=20

5 0

3 years ago

A data set is shown below. { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } Which of the following best represents a measure of ce

Afina-wow [57]

Answer:

Step-by-step explanation:

6 0

2 years ago