Find the mean, median, mode, variance and standard deviation of the following data set
(10,9,11,6,9)

Answer:

Step-by-step explanation:

x+y-ax-ay

by grouping the like terms,

x-ax+y-ay

since x and y are common in all the terms,

=x(1-a) + y(1-a)

= (1-a) ( x+y)

hope this helps

plz mark it as brainliest!!!!!!!!!

The factorized expressions of (x + y)² is

x² + y² + 2xy

The factorized expressions of (-ax - ay)² is

a²x² + ay² + 2a²xy

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Using middle-term factorization.

1)

(x + y)²

x² + y² + 2xy

2)

(-ax - ay)²

(-ax)² + (-ay)² + 2 x (-ax)(-ay)

a²x² + ay² + 2a²xy

Thus,

The factorized expressions are:

x² + y² + 2xy

a²x² + ay² + 2a²xy

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Answer:

3/4-3/4=3/4+3/4

=3/8

Step-by-step explanation:

The expression that represents the weight of the elephant in adulthood is w = 34².

According to the Product of Powers Property, you can add the exponents and maintain the base when multiplying two exponents with the same base.

Given that, the weight of a newborn elephant baby is 34 kg.

The weight of the elephant will be 34 times as much as its birth weight in adulthood, therefore, the weight of the elephant in adulthood is:

w = 34×34

w = 34²

Hence, the product of power property makes mathematical sense, that a×a=a².

The expression that represents the weight of the elephant in adulthood is w = 34².

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Answer:

0,0

Step-by-step explanation:

Answer:

AB / 13 = 1/2

AB = 6.5

area = 0.5 * base * height

=0.5 * 23 * 6.5

= 75 (rounded)

Answer:

b

Step-by-step explanation:

edge 2020

Evaluated: a=2b/5    :):):):):):):)

2/5a=b and5 /Answer:

Step-by-step explanation:a=

2b

Answer:

Step-by-step explanation:

First, you need to graph all given points in the table, that way you will be able to determine the end behavior.

Remember, the end behavior of a function is the behavior of f(x) as x approaches to positive infinity and negative infinity.

So, based in the graph, we can say that as x approaches to positive infinity, f(x) approaches to negative infinity, and as x approaches to negative infinity, f(x) approaches to negative inifinity. In other words, in either case, f(x) always approaches to negative infinity.

Therefore, the right answer is the last choice.

Answer:

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞

Step-by-step explanation:

Just took the test!!!

Answer:

Slope: -3/2 y intercept: 3

Step-by-step explanation:

Answer: [tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation: On the unit circle

Answer:

b

Step-by-step explanation:

Answer:

phone C

Step-by-step explanation:

since, 8.45% of (×) 10

= 0.845

= 0.8

Answer:

probably phone C

Step-by-step explanation:

Answer:

It is A because due to the slope it is a parallelogram.

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Answer:

58 x + 33 p thus 1) is the Answer

Step-by-step explanation:

Simplify the following:

11 (3 p + 5 x) + 4 x - x

4 x - x = 3 x:

11 (3 p + 5 x) + 3 x

11 (3 p + 5 x) = 33 p + 55 x:

33 p + 55 x + 3 x

Grouping like terms, 33 p + 55 x + 3 x = (55 x + 3 x) + 33 p:

(55 x + 3 x) + 33 p

55 x + 3 x = 58 x:

Answer:  58 x + 33 p

Answer:

1) 33p+58x is the correct answer ☺️

Step-by-step explanation:

Answer:

X=25

Step-by-step explanation:

Since these 2 angles are vertically opposite angles so they are equal. (rule)

75°=(4x-25°)

75° + 25° = 4x

100=4x

X=100/4 = 25

___________

Hope this helps...

Answer:

Step-by-step explanation:

I don't say you have to mark my ans as brainliest but don't forget to thank me if it has helped you..

Answer:

yes you are right it would be cylinder b

Step-by-step explanation:

Answer:

The mean is 50

Step-by-step explanation:

To find the mean, add up all the numbers and divide by the number of numbers

(35+ 40+ 56+ 52+ 67)/5

250/5

50

Answer:

200 and 100

Step-by-step explanation:

Just did it:)

Answer:

The number of upper-level seats = 200

The number of lower-level seats = 100

Step-by-step explanation:

Given:

x = the number of upper-level seats.

y = the number of lower-level seats.

According to the question:

20x + 30y = 7000

15x + 35y = 6500

Multiply first equation by 3 and second by 4 then subtract them

[tex]3(20x + 30y) - 4(15x + 35y ) = 3(7000)-4(6500)\\60x+90y-60x-140y=-5000\\-50y=-5000\\y=100[/tex]

Plug y=100 in 20x + 30y = 7000.

[tex]20x + 30y = 7000\\20x + 30(100) = 7000\\20x+3000=7000\\20x=4000\\x=200[/tex]

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Answer: $2936.27

Step-by-step explanation:

Present value = $1663

Rate = 5.5%

Time(n) = 19years

Future value= PV(1+r)^n

= 1663(1+5.5%)^19

= 1663(1.055)^19

=1663 × 2.766

=4599.86

Interest = Future value - Present value

= $4599 - $1663

= 2936

Answer:

(4×n)-2<30

Step-by-step explanation:

4xn is 4 times a number

two less= -2

LESS THAN 30, is <

The inequality used to find the solution of the given statement is 4x - 2 < 30 to get the solution as x < 8.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given statement is that two less than four times a number is less than thirty.

Let the unknown number be x.

Four times a number is 4x.

Two less than four times a number is 4x - 2.

Two less than four times a number is less than thirty is 4x - 2 < 30.

4x - 2 < 30

Adding both sides with 2,

4x < 32

Dividing both sides by 4,

x < 8

Hence the required solution can be found by solving the inequality 4x - 2 < 30 and the solution is x < 8.

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Answer:

The surface area of the similar prism is 56 square inches

Step-by-step explanation:

Given surface area of prism, A = 224 square inches

The total surface area of a triangular prism = 2 x Area of triangle + ph

Area of triangle = ¹/₂bh

Where;

b is the base of the prism

h is the height of the prism

p is the perimeter of lateral surfaces

Area of prism involves the product of the dimensions, if the new dimensions is 1/4 the original dimensions;

Product of original dimensions = 224 square inches

1/4 of the product of original dimensions = 1/4 x 224 square inches

= 56 square inches

The surface area of the similar prism = 56 square inches

Thus, the surface area of the similar prism is 56 square inches

Answer:

a) 167 cups

b) 4 packages

Step-by-step explanation:

Given:

Diameter, d = 8cm

Height, h = 11 cm

10 gallon container

Since 1 gallon = 3085cm, 10 gallons will be:

= 10 * 3085 = 30850 cm

a) Consider that the shape of the cup is a cone. To determine how many paper cups are needed to empty the entire 10 gallon cooler, let's first find the volume of the cone.

Formula for volume of a cone:

[tex] V = \frac{1}{3} \pi r^2 h[/tex]

We know radius, r = d/2 = 8/2 = 4cm

Substituting figures in the formula, we have:

[tex] V = \frac{1}{3} \pi 4^2*11[/tex]

V = 184.31 cm³

The number of paper cups are needed to empty the entire 10 gallon cooler would be:

[tex] = \frac{30850}{184.31} = 167.38 cups [/tex]

Approximately 167 cups

b) if the cups are sold in packages of 50, the number of packages to be bought will be:

[tex] = \frac{167}{50} = 3.34 [/tex]

Which is approximately 4 packages

Answer:

The answer is 38.

Step-by-step explanation:

You have to substitue c = -4 into the expression :

Let c = -4,

[tex] {( - 4)}^{2} - 5( - 4) + 2[/tex]

[tex] = 16 + 20 + 2[/tex]

[tex] = 38[/tex]

Answer:

A) $5 × 25 = $75

B) 37.69%

Step-by-step explanation:

The dimension of five dollar bill:

Length = 155.956mm

Width = 66.294

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

Dimension of box :

156 x 66.3 x 66.3 mm

If volume of the 5—dollar bill is 258,473.68mm^3

Then, the Thickness of the five dollar stack equals :

Volume = Length × width × height

258,473.68mm^3 = 155.956mm × 66.294 × height

258,473.68 = 10338.947064 × h

h = (258473.68/10338.947064)

h = 25.000000003288 = 25

Therefore, the amount of money in the box is:

$5 × 25 = $75

Percentage of box volume taken up by $5 bill

Volume of the box:

156 x 66.3 x 66.3 mm = 685727.6399mm^3

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

(258,473.68 / 685727.6399) × 100

=37.69%

Answer:

About 9:10 I multiplied 9 time 60 with the remaining 10 and got that

Step-by-step explanation:

the common denominator for these two is 45, as you have to times 5 by 9 to get this you will have to times 3 by 9 aswell so that fraction would be 27/45.

as you have to times 9 by 5 to get 45 you will have to times 5 by 5 which is 25 so that fraction would be 25/45

3/5=27/45 5/9=25/45

27 is bigger than 25

Answer:

a = 47

b = 23.87

c = 90

d = 35.59

Step-by-step explanation:

I can only help this much. Not sure what the other two others below are asking

Answer:

A

Step-by-step explanation:

i stands for square root of negative 1. If you multiple i and square root of 23 you will end up with the original

Answer:

20 :3

Step-by-step explanation:

Da distance is 20

80 - 60 = 20 BOOM PEEPS

First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :

3.7x+4.3x-18=-3

Next, take the 18 and switch is so it will be with the 3:

3.7x+4.3x=-3+18

Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:

8x=15

x=15/8

Hope this helps, and sorry if I did the work wrong but the directions are 100% right!

Answer:

c

Step-by-step explanation:

First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :

3.7x+4.3x-18=-3

Next, take the 18 and switch is so it will be with the 3:

3.7x+4.3x=-3+18

Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:

8x=15

x=15/8

Hope this helps, and sorry if I did the work wrong but the directions are 100% right!  :)

Answer:

y

=

3

4

x

−

9

Step-by-step explanation:

Answer:

4x + 4y - 8

Step-by-step explanation:

Parenthesis

Exponents

Multiply

Divide

Add

Subtract