find whether the following are sides of a right angled triangle

Answer:

a) For Pawnee:

Range = 11, Mean = 3.13, Mean deviation = 2.44

For Chickpee:

Range =  7, Mean = 4.25, Mean deviation = 1.59

b) Pawnee Location has fewer lost days.

c) variation of the Chickpee is less than Pawnee location

Step-by-step explanation:

Data given:

For Pawnee:

3 1 0 0 2 11 5 3

Max = 11

Min = 0

Range = Max - Min

Range = 11-0 = 11

Range = 11

For Chickpee:

3 6 8 4 4 5 3 1

Max = 8

Min = 1

Range = Max - Min

Range = 8 - 1

Range = 7

For mean of Pawnee:

Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8

Mean = 25/8

Mean = 3.125

For mean deviation, we find the difference from the mean of each point.

Note: all the negative values will be taken as 0.

Differences from the mean of each point =

(3-3.13)=0.13, (1-3.31) = 2.13 ,

(0-3.13)=0, (0-3.13)=3.13,

(2-3.13)=1.13, (11-3.13)=7.87,

(5-3.13)=1.87, (3-3.13)=0.13

So, our differences are:

(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )

Mean deviation =  Sum of all differences/8

Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8

Mean deviation = 2.44

For mean of Chickpee:

Mean = (3+6+8+4+4+5+3+1)/8

Mean = 34/8

Mean = 4.25

Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.

Note: all the negative values will be taken as 0

Differences from the mean:

(3-4.25) = 1.25, (6-4.25) =1.75,

(8-4.25) = 3.75, (4-4.25)=0.25,

(4-4.25)=0.25, (5-4.25)= 0.75,

(3-4.25)=1.25, (1-4.25) =3.25

So, the differences are:

Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)

Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8

Mean deviation = 1.59

b) which location has fewer lost days:

This can be found out by the total number of days of Pawnee and chickpee.

Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days

Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days

Hence, Pawnee Location has fewer lost days.

C) which location has less variation?

Formula for variation = ∑([tex]\frac{x^{2} }{8}[/tex]) - ([tex]mean^{2}[/tex])

where x = values of the set.

For Pawnee:

[tex]mean^{2}[/tex] = [tex]3.13^{2}[/tex] = 9.8

Sum of square of all the data points of Pawnee = 169

Variation = 169/8 - 98 = 11.325

Similarly,

For Chickpee:

[tex]mean^{2}[/tex]  = [tex]4.25^{2}[/tex] = 18.06

Sum of square of all the data points of Chickpee = 176

Variation = 176/8 - 18.06

Variation = 22-18.06

Variation = 4

Hence, variation of the Chickpee is less than Pawnee location

Answer:

c...........................

Answer:

step by step buy on paper towel and then buy one more and then the last one i cant see

Step-by-step explanation:

your welcome; )

Answer:

$250

Step-by-step explanation:

discounting 15 percent is the same as marking something for 85 percent. This is the same as multiplying by .85

set up equation and solve

.85x=212.50

x=250

Answer:

60 combinations

Step-by-step explanation:

Answer:

29.75

Step-by-step explanation:

5% of 35 is 1.75 so 1.75 times 3 equals 5.25, 35 - 5.25 = 29.75

Answer

368

Step-by-step explanation:

1840÷5=368

Answer:

170,

Step-by-step explanation:

my explanation is commented on the other persons answer

Answer:

4 pounds

Step-by-step explanation:

Answer: 4 pounds

Step-by-step explanation:

Hope this helps :)

Answer:

135

Step-by-step explanation:

135+45=180

Answer: 12.57

Step-by-step explanation:

Answer:

f(-2) = 9

Step-by-step explanation:

Given that,

f(x) = x² + x + 7

We need to find the value of f(-2).

Put x = -2 in the given function.

f(-2) = (-2)² + (-2) + 7

= 4-2+7

= 9

Hence, the value of f(-2) is equal to 9.

Answer:

Second option!!!

Step-by-step explanation:

Hope it helps you:)

Answer:

The answer is (19,12)

Answer:

Step-by-step explanation:

Given the expression:

x³(x−y)⁷−y³(x−y)⁷

This can also be written as (x³-y³)(x-y)⁷

(x³-y³)(x-y)⁷=  (x-y)⁷ (x³-y³)

Expand  (x³-y³)

x³-y³ = (x-y)(x²+xy+y²)

Substitute back into the original expression:

(x-y)⁷ (x³-y³) = (x-y)⁷(x-y)(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+y²+xy)

Comparing the result with (x−y)^m(x^2+y^2+nxy).

(x-y)⁸ = (x-y)^m

m = 8

Also:

nxy = xy

n = xy/xy

n = 1

Hence the value of m is 8

The value of m is 8

The expression is given as:

[tex]x^3(x-y)^7-y^3(x-y)^7[/tex]

Factor out (x - y)^7 in the above expression

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x^3 - y^3)(x -y)^7[/tex]

Expand out (x^3 - y^3) as the difference of two cubes

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x-y)(x\²+xy+y\²)(x -y)^7[/tex]

Combine the common factors

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x\²+xy+y\²)(x -y)^8[/tex]

Rewrite the expression as:

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x -y)^8(x\²+xy+y\²)[/tex]

The expression format is given as:

[tex](x-y)^m(x^2+y2^+nxy)[/tex]

So, we have:

[tex](x-y)^m(x^2+y2^+nxy) = (x -y)^8(x\²+xy+y\²)[/tex]

By comparison, we have:

[tex]m = 8[/tex]

Hence, the value of m is 8

Read more about expressions at:

https://brainly.com/question/4344214

Answer:

divide 12

12/12 : 2/12

1 : 2/12

1 : 1/6

n=1/6

Answer:

10+0.60+0.03

Step-by-step explanation:

simple

Hey there!

Note; When you see the phrase “expanded form” think of the SUM (addition) formation of a given which writes as it is added with the given which makes it an single value when it is multiplied by the place value

Now that we have that note/fact out of the way we have answer your question!

Answer: 10 + 0 + 0.6 + 0.03 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Change your pants

.... um chile anyways

Answer:

B. 21.2 units

Step-by-step explanation:

10.6 x 2 = 21.2

Answer:

please refer to the above attachment.

Answer:

-7

Step-by-step explanation:

Answer:

1. Ratio

2. Equivalent Ratios

3. Rate

4.Percent

5.Simplify

Answer:

52%.

Step-by-step explanation:

There are a total of 50 squares in the shape, and only 26 squares of the shape are shaded. That makes 52% or 0.52.

Answer:

52%

Step-by-step explanation:

26 out of 50 blocks are shaded orange

26/50 = 52%

The solution of the system is (-2,2)

Step-by-step explanation:

a solution is a system of equations intersecting.

on the graph you can see that the lines intersect at (-2,2)

Answer:

8.7 cm

Step-by-step explanation:

Since all sides of the given shape are equal, so it is a cube.

So length of the diagonal of cube is give as:

[tex]l(diagonal) = l \sqrt{3} \\ \\ = 5 \times 1.732 \\ \\ = 8.66 \\ \\ l(diagonal) \approx8.7 \: cm[/tex]

Answer:

It is a non -proportional equation

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Required

Determine the value of x

The diagonals of a rectangle are equal.

So:

[tex]x + 5 + 2x -2 = 3x -9+4x - 16[/tex]

[tex]x + 2x + 5 - 2 = 3x +4x - 9 - 16[/tex]

[tex]3x + 3 = 7x -25[/tex]

Collect Like terms

[tex]3x-7x=-25-3[/tex]

[tex]-4x=-28[/tex]

[tex]x = \frac{-28}{-4}[/tex]

[tex]x = 7[/tex]