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3 years ago

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What is the interquartile range of the data set? 23, 35, 55, 61, 64, 67, 68, 71, 75, 94, 99

2 answers:

Marina86 [1]3 years ago

7 0

99 94 75 71 68 67 64 61 55 35 23

MaRussiya [10]3 years ago

4 0

The IQR=20 because the 3rd Q(75) minus the 1st Q(55) equals 20

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Solve the equation a=m-n for the variable n.

amid [387]

Our objective is to isolate n one side of the equation. The steps are as follows...

a=m-n
(Add n to both sides)
a+n=m-n+n
(The -n and +n cancel out, on the right side of the equation)
a+n=m
(Now subtract a from both sides)
a+n-a=m+a
(The +a and -a cancel out, on the right side of the equation)
n=m+a

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805 divided by 5 equals 161

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Approximately how long is a leg of an isosceles right triangle that has a hypotenuse of length 11.31

Lapatulllka [165]

Answer:

Leg of an isosceles right triangle is 7.99 long.

Step-by-step explanation:

Given:

Length of the hypotenuse =11.31

To find:

Length of the leg of an isosceles right triangle =?

Solution:

According to Pythagorean's Theorem, we have

$a^2 +b^2 = c^2$ -----------------------------(1)

Here were are given as isosceles triangle, so the two sides will be of same length

So equation 1 can be rewritten as

$a^2 +a^2 = c^2$

$2a^2 = c^2$

Substituting the value of hypotenuse

$2a^2 = (11.31)^2$

$2a^2 = 127.91$

$a^2 = \frac{127.91}{2}$

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$a = \sqrt{63.955}$

a = 7.99

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3 years ago

three numbers are in an arithmetic progression. Their sum is 3 and the sum of their squares is 11. what are the three numbers

Vlad [161]

The three numbers are 12, 18 and 24

Arithmetic progression

Let the 3 number in arithmetic progression be:

a-d, d, a+d ...

If their sum is 3, then;

a-d+d+a+d = 3

2a + d = 3 ........... 1

If the sum of their squares is 11, then;

(a-d)² + d² + (a+d)² = 11

a²-2ad+d²+d²+a²+2ad+d² 11

2a²+3d² = 11 ....... 2

Solving the equations simultaneously, d = 6 and a = 12

First-term = 12

second term = 18

Thirs term = 24

Hence the three numbers are 12, 18 and 24

Hope this helps you!!!!!! :D

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