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Find the interquartile range for a data set having the five-number
summary: 4.6, 14.3, 19.7, 26.1, 31.2
A. 26.6
B. 11.8
C. 11.5
D. 15.1

Answers

Answer 1
Answer: Correct me if I’m wrong but I think it’s C

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In the figure, side AB is given by the expression (5x + 5)/(x + 3), and side BC is (3x + 9)/(2x - 4).The simplified expression for the area of rectangle ABCD is _______, and the restriction on x is ____.

Answers

Answer:

The simplified expression for the area of rectangle ABCD is ( 15(x + 1))/(2(x - 2)), and the restriction on x is x≠2 .

Step-by-step explanation:

Side AB = Width of rectangle = (5x + 5)/(x + 3)

Side BC = Length of rectangle =  (3x + 9)/(2x - 4)

Area of Rectangle = Length * Width

Putting values:

Area\,\,of\,\,rectangle =( (3x + 9))/((2x - 4)) * ((5x + 5))/((x + 3))

Solving,

Area\,\,of\,\,rectangle =( 3(x + 3))/((2x - 4)) * (5x + 5)/((x + 3)) \nArea\,\,of\,\,rectangle =( 3)/(2(x - 2)) * 5x + 5\nArea\,\,of\,\,rectangle =( 3(5x + 5))/(2x - 4)\nArea\,\,of\,\,rectangle =( 15x + 15)/(2x - 4)\nArea\,\,of\,\,rectangle =( 15(x + 1))/(2(x - 2))

The restriction on x is that x ≠ 2, because if x =2 then denominator will be zero.

So, the answer is:

The simplified expression for the area of rectangle ABCD is ( 15(x + 1))/(2(x - 2)), and the restriction on x is x≠2 .

HELP QUICK BRAINLIEST IF CORRECT! Thanks!!

Answers

60. Hope this helps!

Paul owns 8 CDs, 6 of which are rock-and-roll. What percent of Paul's CDs are rock-and-roll?

Answers

Answer:

75% are rock and roll

Step-by-step explanation:

6 /8 = 3/4 = 0.75 = 75%

An element with a mass of 570 grams decays by 26.7% per minute. To the nearest minute, how long will it be until there are 40 grams of the element remaining?

Answers

Answer: x ≈ 9

Step-by-step explanation:

Near the end of the picture 8.553364=x

x ≈ 9

A red die is tossed and then a green die is tossed. What is the possibility that the red die shows a six or the green die shows a six?

Answers

The two events are independent of each other.

This means that:

\text{Pr}(\text{red 6}) = \text{Pr}(\text{green 6})
\text{So total probability is: } \text{Pr}(\text{red 6}) + \text{Pr}(\text{green 6}) = (2)/(6) = (1)/(3)

40% as fraction and decimal

Answers

Answer:

40% as a decimal is 0.4

40% as a fraction is 2/5

Step-by-step explanation:

Let's go over each of these step by step.

First, let's see 40% as a fraction.

Since 40% is out of 100%, we can rewrite that as 40/100.

If you want to simplify it, let's do the following.

40/100

Divide both sides by 20, and you'll end up with:

2/5.

Now, let's do 40% as a decimal.

This is pretty simple.

40% is 40/100 as said before, and to find it as a decimal,

let's divide 40 and 100.

40 divided by 20 = 0.4

Therefore, we can conclude the following:

40% as a fraction is 40/100, or 2/5.

40% as a decimal is 0.4

Hope this helped! :)
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