find the variance of the given sample 18, 18, 18, 9, 15, 5, 10, 5, 15

Answer:

  336 cm³

Step-by-step explanation:

As long as the height is measured perpendicular to the base, the volume formula applies.

  V = LWH

  V = (8 cm)(6 cm)(7 cm) = 336 cm³ . . . . volume of the prism

Answer:

18

Step-by-step explanation:

The solution set of the equation will be;

⇒ x = 18

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

''2/3 of a number is 12."

Now,

Since, The expression is,

''2/3 of a number is 12."

Let a number = x

So, We can formulate;

⇒ 2/3 of x = 12

⇒ 2/3 × x = 12

⇒ 2x = 12 × 3

⇒ 2x = 36

⇒ x = 36/2

⇒ x = 18

Thus, The solution set of the equation will be;

⇒ x = 18

Learn more about the mathematical expression visit:

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Answer:

- x(- 8x^2 + 3x)

8x^3 - 3x^2

Step-by-step explanation:

francesca got home first i think

Answer:

Francesca got home first

Step-by-step explanation:

13 is less than 15

Answer:

the answer is y=-3x+5

since it's parallel, the slope is the same. so m=-3

use point slope formula y-y1=m(x-x1) and plug in the slope and the point

y-2=-3(x-1)

y-2=-3x+3

y=-3x+5

Answer: 20

Step-by-step explanation:

A scale factor is simply the ratio between two corresponding units, therefore since the two fractions are set equal to each other, we can divide the numerator by each other. 20/1=20, so the answer is 20.

Answer:

14

Step-by-step explanation:

if two sides are the same, their angle will also be the same

therefore

5x=3x+28

5x-3x=28

2x=28

x=14

The value of x in the triangle whose two sides are equal and the measure of angles is (5x)° and (3x + 28)° is 14.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The measures of the angles are (5x)° and (3x + 28)°,

As given the two sides of the triangle are equal, then the opposite angles will be equal,

Use the above concept and calculate the value of x as shown below,

5x = 3x + 28

Solve the above equation,

5x - 3x = 28  (Transform variable on the left side)

2x = 28

x = 28 / 2

x = 14

Thus, the value of x is 14.

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Step-by-step explanation:

Here Given,

x = White rectangular box

-x = Black rectangular box

1 = White square

-1 = Black square

Condition,

No. of White rectangular boxes = 5

No. of Black rectangular boxes = 8

No. of White square boxes = 9

No. of Black square boxes = 4

Therefore Simplification,

5x + (-8x) + 9 + (-4)

= - 3x + 5 (Ans) (option D)

Here Given,

x = White rectangular box

-x = Black rectangular box

1 = White square

-1 = Black square

Condition,

Left side,

No. of White rectangular boxes = 7

No. of Black rectangular boxes = 3

No. of White square boxes = 1

No. of Black square boxes = 2

Right side,

No. of White rectangular boxes = 1

No. of Black rectangular boxes = 3

No. of White square boxes = 8

No. of Black square boxes = 3

Therefore Equation,

7x - 3x + 1 - 2 = x - 3x + 8 - 3

=> 6x = 6

=> x = 1 (Ans) (option B)

Given values,

a = 13, b = 3, c = 6

Solution,

[tex](26 - a) + \frac{ - 2bc}{2} + \sqrt{289} [/tex]

(On putting values of a, b and c)

[tex] = (26 - 13) + \frac{ - 2 \times 3 \times 6}{2} + \sqrt{289} [/tex]

= 13 + (-18) + 17

= 12 (Ans) (option A)

Given values,

x = 14, y = 5, z = 6

Solution,

[tex] (25 - x) + \frac{4yz}{2} [/tex]

(On putting values of x, y and z)

[tex] = (25 - 14) + \frac{4 \times 5 \times 6}{2} [/tex]

= 11 + 60

= 71 (Ans)

Answer:

310

Step-by-step explanation:

Answer:

310

Step-by-step explanation:

is/of = % / 100

[tex]93/x = 30/100[/tex]

93 * 100=9300

9300/30 = 310

Answer:

80%

Step-by-step explanation:

4 out of every 5 are insects

=> Insects = 4/5 of all the species

=> Insects = 80% of all the species

Hope this helps!

Using quadratic function concepts, it is found that:

a) The value of a is -2000.

b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.

c) Between 140 and 160 computers need to be produced.

The profit is modeled by:

[tex]y = a(x - 100)(x - 200)[/tex]

Item a:

If 120  computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.

[tex]y = a(x - 100)(x - 200)[/tex]

[tex]3200000 = a(120 - 100)(120 - 200)[/tex]

[tex]-1600a = 3200000[/tex]

[tex]a = -\frac{3200000}{1600}[/tex]

[tex]a = -2000[/tex]

The value of a is -2000.

Item b:

We first place the quadratic function into standard form, thus:

[tex]y = -2000(x - 100)(x - 200)[/tex]

[tex]y = -2000(x^2 - 300x + 20000)[/tex]

[tex]y = -2000x^2 + 600000x - 40000000[/tex]

Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].

Then, we have to find the vertex:

[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]

[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]

[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]

The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.

Item c:

We are working with a concave down parabola, hence the range is between the roots of:

[tex]y = -200x^2 + 600000x - 40000000[/tex]

[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]

[tex]-200x^2 + 600000x - 44800000 = 0[/tex]

The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].

Then:

[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]

[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]

[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]

Between 140 and 160 computers need to be produced.

A similar problem is given at https://brainly.com/question/24705734

Answer:

depends how much he chopped up

Step-by-step explanation:

Answer:

Nothing

Step-by-step explanation:

"5. Hamza chopped up

pineapple and gave ½ to his

mum. He also ate half himself.

How much was left to give to

his dad?"

1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0

Answer: There was nothing left for him.

Answer:

I’m not sure

Step-by-step explanation:

Because I don’t have a brain so I can’t think of what it is. I can’t give you a better explanatio.

Answer:

purrrrrrrfect

Step-by-step explanation:

Answer:

686868686

Step-by-step explanation:

Answer:

Step-by-step explanation:

A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P .

9514 1404 393

Answer:

  P(F|A) = 35%

Step-by-step explanation:

P(F|A) = P(F&A)/P(A) = 7%/20% = 0.35

P(F|A) = 35%

_____

The given numbers will let you fill in a table for all of the categories of workers. However, it turns out this question can be answered using only the numbers given in the problem statement.

Answer:

a. yes

b. yes

c. yes

d. no

a.

Solve the equation by rearranging

-2 + x = 0

x = 2

b.

If x < 2, x - 2 will always be negative

x - 2 cannot be positive unless you add a number greater than 2, therefore the statement is true

c.

If x > 2, x - 2 will always be positive

d.

If x is only greater than 0, then x - 2 could be positive, negative or 0 depending on if x < 2, x = 2 or if x > 2

These questions can be easily answered through graphing the equation: y = -2 + x, or equivalently, y = x - 2

Answer:

1.88 I think

Step-by-step explanation:

I just divided the bigger number by the smaller one to find the ratio

Answer:

1:0.53

Step-by-step explanation:

there are 81 oranges and 43 melons

so its 81:43

divide both by 81

81/81:43/81

1:0.53

Answer:

y=-5/2x-8

Step-by-step explanation:

Please mark as brainliest if correct

Answer:

2.2360679775

I hope this helps

Answer:

15 degrees

Step-by-step explanation:

It is a right angle!

61 + 14 = 75

90 - 75 = 15

Hope this helps!!! :))

Answer:

Step-by-step explanation:

3 ¼ / 5/16

3 ¼ = 13/4

to divide by a fraction, multiply by the reciprocal of the fraction

13/4•16/5 = (13•16) / (4•5) = 208 / 20 = 10.4

10 whole cookies but NO dumplings

Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

6x-21=3

 +21  +21

6x=24

/6    /6

x=4

Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

Answer:

Spanish??

Step-by-step explanation:

Answer:

50% decrease

Step-by-step explanation:

[tex]\dfrac{(V_2-V_1)}{|V_1|} \times 100[/tex]

[tex]= \dfrac{(5 - 10)}{|10|} \times 100[/tex]

[tex]= \dfrac{-5}{10} \times 100[/tex]

[tex]= -0.5 \times 100[/tex]

[tex]= -50\% \; \text{change}[/tex]

[tex]= 50\% \; \text{decrease}[/tex]

Answer: 50 i guess not sure

Step-by-step explanation: hope this helps of not i hope someone can help you ok :)

2y-(y+6) (-2y)= -3y +1 (-2y) [Subtract both sides by 2y]

(-(y+6))/-1 = (-5y + 1)/-1 [Divide both sides by -1]

y + 6 (-y+1) = 5y - 1 (-y+1) [Subtract both sides by y and add 1 on both sides]

7(/4) = 4y(/4) [Divide both sides by 4]

y = 7/4

(Double check the work)

2(7/4) - ((7/4)+6) = -3(7/4) + 1

3.5 - 7.75 = -5.25 + 1

-4.25 = -4.25 (correct)