Factorize
ху
+ 3x +3y
+ 18

Answer:

75

Step-by-step explanation:

The 9th percentile of the bill amounts is 81.0634.

Population mean, µ = 110.56

Population standard deviation, σ = 22

a) p = 0.09

Z score at p = 0.09 using excel = NORM.S.INV(0.09) = -1.3408

Value of X = µ + z*σ = 110.56 + (-1.3408)*22 = 81.0634

9th percentile = 81.0634

b) p = 0.66

Z score at p = 0.66 using excel = NORM.S.INV(0.66) = 0.4125

Value of X = µ + z*σ = 110.56 + (0.4125)*22 = 119.6342

66th percentile = 119.6342

c) Median = 0.50

Z score at p = 0.5 using excel = NORM.S.INV(0.5) = 0

Value of X = µ + z*σ = 110.56 + (0)*22 = 110.56

Median = 110.56

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Step-by-step explanation:

rewrite the equation as follows

c2d = a - b

divide both sides by 2d

c = (a - b)/2d

Yes, because 16 divided by 4 is 4, and 12 divided by 3 is also 4

Answer:

there ya go :)

Answer:

.7 I your answer to your question hope it's help

Answer:

[tex]\frac{7}{10}[/tex]

Step-by-step explanation:

35/50 -->    [tex]\frac{7}{10}[/tex]
divide 35 by 5 = 7
divide 50 by 5 = 10

Answer:

The angles are 18° and 72°

Step-by-step explanation:

Finding the unknown angle

       Let the smaller angle = x

     The larger angle          = 4*x = 4x

x + 4x  = 90

      5x = 90

        x = 90 ÷ 5

       x = 18

Smaller angle = 18°

Larger angle = 4*18 = 72°

Answer: [tex]\sqrt[4]{64}[/tex]

Step-by-step explanation:

[tex]64^{\frac{1}{4} }= \sqrt[4]{64}[/tex]

Answer:

⇒ π and √ 78

Rational number:

A number that can be expressed exactly by a ratio of two integers. Integer is usually defined as one of the positive or negative numbers 1, 2, 3, etc., or zero. An example of a rational number is a repeating decimal. A repeating decimal is a decimal numeral that, after a certain point, consists of a group of one or more digits repeated as infimum, as 2.33333.... or 23.0218181818...

Irrational number:

A number that cannot be exactly expressed as a ratio of two integers. An example is a infinite decimal which is a nonterminating decimal, a decimal numeral that does not end in an infinite sequence of zeros (contrasted with terminating decimal). Example: 2.3459810212901....

_________________________

Rational numbers.

The number 9/15 is equal to 0.6 which is a terminating decimal and is therefore, rational.

18 is a whole number and integer making it rational.

9 is a integer and a whole number = rational.

169 is a integer and whole number = rational.

_____________________________________

Irrational numbers.

√78 ≈ 8.831760866

This decimal is a nonterminating decimal that does not terminate nor repeat making it irrational.

Now onto Pi/π which is the 16th letter of the Greek alphabet and is a known-irrational number. The ratio itself: 3.141592+. The letter is used as the symbol for the ratio of the circumference of a circle to its diameter.

It relates to how pi is computed. Pi is equal to the circumference of a circle, which may be calculated by placing an n-gon within a circle. However, when the sides of the n-gon are raised, the value of pi varies every time you divide it by the diameter of the circle, therefore it is impossible to get the exact value of pi. Additionally, irrational numbers never finish or repeat their decimal expansion, therefore they cannot be tallied as 2, 3, and so on.

_____________________________________

Therefore, the number that are irrational is π and √78.

Answer:

The probability of selecting two democrats is 1/380

Step-by-step explanation:

Here we are given the people as,

8 democrats, 8 republicans and 6 independent.

So total number of people are: 8+6+6=20

Probability of choosing first democrat = 1/20

Probability of choosing first democrat = 1/19

Thus P( two democrats in succession ) = 1/20 ×1/19

                                                                = 1/380

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Answer:

y = - 3x - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (0, - 1)

m = [tex]\frac{-1-2}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3

the line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = - 3x - 1 ← equation of line

Answer:

2/b

Step-by-step explanation:

a/b=3b

a=3b*b

a=3b^2

6b/a=6b/(3b^2)=2/b

Answer:

I'm not sure what the question is.    I'll offer one simplification that might help.

Step-by-step explanation:

[tex]\sqrt{3} - 3(4*\sqrt{8})[/tex]

One can convert the [tex]\sqrt{8}[/tex] to [tex]\sqrt{2} *\sqrt{4}[/tex] and then that becomes [tex]\sqrt{2} *\2}[/tex]2 or 2[tex]\sqrt{2}[/tex]

[tex]\sqrt{3} - 3(4*\sqrt{2}\sqrt{4})\\[/tex]

[tex]\sqrt{3} - 3(4*2*\sqrt{2})\\[/tex]  See above explanation.

[tex]\sqrt{3} - 24*\sqrt{2})\\[/tex]

The missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.

Triangle is a polygon with three sides , three angles and three vertices.

Given is triangle ABC , with sides  a = 8, c = 11, and m∠C=33 degree

The missing angle and side is given by Cosine rule of triangle

c² = a² + b² - 2ab cosC

11² = 8² + b²  - 2* 8 * b * cos 33

57 = b² -13.42 b

b²  -13.42b -57 = 0

b = 16.8

By sine rule

a / sin A = b/sin B = c/sinC

8 / sin A = 11 / sin 33

A = 23.33 degree

Similarly

B = 123.7 degree

Therefore the missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.

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Answer:

the sum of all exterior angle is 360 degree

Answer:

1.5 cups of multi-color beads per jar

Step-by-step explanation:

We are dealing with dividing fractions that tells us how many parts of a whole we have

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Visual Representation:

Answer:

Step-by-step explanation:

The rotation is 180 degrees in clockwise direction.

What is rotation?

The angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle.

The complete question is:

Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.

X(3, –6) maps to X’(–3, 6)

Y(1, –2) maps to Y’(–1, 2)

Z(–1, –5) maps to Z’(1, 5)

Which describes the rotation?

If we look at the coordinates carefully then we can see that the sign of the coordinates have been changed.

As, (x,y) to (-x, -y)

Hence, the rotation is  180 degrees rotation (x,y) to (-x, -y) in clockwise rotation.

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Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

Here, we can use an angle rule.

We see that angles [tex](8x+50)[/tex]° and 130° are under a sort of F shape, where lines m and n are the horizontal parts of the letter and where the diagonal line is the vertical part of the letter.

This means we can use the rule:

Corresponding angles are equal.

This means that:

[tex]8x + 50 = 130[/tex]

We can now use this equation we have formed to solve for [tex]x[/tex]:

[tex]8x + 50 = 130\\8x = 80\\x = 10[/tex]

Therefore, our final answer is [tex]x=10[/tex].

The sample size is 289.

Zα/2 = [tex]Z_{0.025}[/tex]

= 1.96  

Sample size = n

n = [Zα/2* σ / E] 2

n = [1.96 * 26 / 3 ]2

n = 288.54

n = 289.

In records, the pattern size is the measure of the number of man or woman samples used in an experiment. As an example, if we are testing 50 samples of folks that watch tv in a town, then the sample length is 50.

An awesome sample length is normally 10% as long because it no longer exceeds a thousand. A very good sample length is commonly around 10% of the populace, as long as this doesn't exceed one thousand. for example, in a populace of 5000, 10% could be 500. In a populace of 200,000, 10% would be 20,000.

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Answer:

b.) Subtracting 5 then dividing both sides by -2

Step-by-step explanation:

Given expression:

⇒ -2x + 5 = 9

To solve this equation, first we need to remove the 5 on the left side. Then divide both sides by -2.

When done so:

⇒ -2x = 9 - 5

⇒ -2x = 4

⇒ -2x/-2 = 4/-2

⇒ x = -2

Answer:

given a regular polygon which means that it's all sides are equal and all angles are equal

one angel of a polygon is 3x

the sum of all the angles of a polygon = 360°

3x + 3x + 3x + 3x + 3x + 3x = 360°

18x = 360°

x = 20°

Step-by-step explanation:

[tex] = {i}^{31} [/tex]

[tex] = {i}^{28} \times {i}^{3} [/tex]

[tex] = {( {i}^{4} )}^{7} \times ( {i}^{2} \times i)[/tex]

[tex] = ( {i}^{2} \times {i}^{2} ) {}^{7} \times {i}^{2} \times i[/tex]

[tex] = ( - 1 \times ( - 1)) {}^{7} \times ( - 1) \times i[/tex]

[tex] = {1}^{7} \times ( - i)[/tex]

[tex] = 1 \times ( - i)[/tex]

[tex] = - i[/tex]

The answer is D.

Answer: Hope this helps you I guess.

2

Answer:

2 is the length of BC

Step-by-step explanation:

If we will look at this line, we can determine that unit interval is 1, so we subtract B from C, which is 2, and that's the answer

Answer:

t+s = 9

4t+9s=51

tulips and succulents combined is 9 plants

the amount of money they have combined is $51

Answer:

Here's your answer guy

Step-by-step explanation:

a)cat

b)8

c)6....

The value of x will be 50°. Then the correct option is D.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

Then the sum of the adjacent angle of the parallelogram is 180 degrees.

Then the value of x that makes ABCD a parallelogram will be

The one angle is x+60°.

Then the another angle will be 70°.

Then we have

x + 60° + 70° = 180°

       x + 130° = 180°

                  x = 50°

Then the correct option is D.

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The inverse of the given function is y = x³ + 2

Given the radical function below expressed as;

f(x) = ∛x-2

This can be written as;

y = ∛x-2

Replace y with x

x = ∛y-2

Take the cube of both sides

x³ =y - 2

y = x³ + 2

Hence the inverse of the given function is y = x³ + 2

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Answer:

[tex]f^{-1} (x)=x^{3} +2[/tex]

Step-by-step explanation:

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