There are 40 pieces of building blocks in a bag: 10 each of blue, green, red, and yellow. Two pieces are chosen at random. Identify the probability that both of the pieces chosen are green.

Answer:

third grid

Step-by-step explanation:

.3×3=.9, as that is just .3 + .3 + .3

The third grid has 9/10 boxes colored, which is the same as .9

Hope this helps! :)

Answer:

[tex]x=\dfrac{42}{13}[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{6}{(x^2-3x)}=\dfrac{12}{x}+\dfrac{1}{(x-3)}[/tex]

Factor the denominator on the left side:

[tex]\implies \dfrac{6}{x(x-3)}=\dfrac{12}{x}+\dfrac{1}{(x-3)}[/tex]

Combine the fractions on the right side by multiplying by the LCM:

[tex]\begin{aligned}\implies \dfrac{6}{x(x-3)} & =\dfrac{12}{x} \cdot \dfrac{(x-3)}{(x-3)}+\dfrac{1}{(x-3)} \cdot \dfrac{x}{x}\\\\& =\dfrac{12(x-3)}{x(x-3)}+\dfrac{x}{x(x-3)}\\\\& =\dfrac{12(x-3)+x}{x(x-3)} \end{aligned}[/tex]

As the denominators are now the same on both sides:

[tex]\begin{aligned}\implies \dfrac{6}{x(x-3)} & =\dfrac{12(x-3)+x}{x(x-3)}\\\\ \implies 6 & = 12(x-3)+x\end{aligned}[/tex]

Simplify and solve for x:

[tex]\begin{aligned}\implies 6 & = 12(x-3)+x\\\\6 & =12x-36+x\\\\6 & =13x-36\\\\13x & =42\\\\\implies x & =\dfrac{42}{13}\end{aligned}[/tex]

Answer:

16

Step-by-step explanation:

12 divided by 3 = 4 and 6*2 = 12

12+4=16

The value of this answer is 16

To solve this expression, we will apply the properties of mathematical operations.

- First, we multiply or divide

- Second, we subtract or add

12/3 + 6 x 2

4 + 6 x 2

4 + 12

16

So, the correct value is 16

Answer: B

Step-by-step explanation:

The domain is the set of x values, and the range is the set of y values.

Answer:

A

Step-by-step explanation:

The amount that he needs to contribute to his employer's 401(k) in order to fall in a tax bracket will be $9750.

From the information given, Steve is a single man whose salary is $92,000 per year. Based on the tax table below, the amount that he needs to contribute to his employer's 401(k) in order to

fall in a tax bracket will be:

= $92000 - $82250

= $9750

Therefore, the amount is $9750

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AB= 24cm

BC = 7cm

<B = 90°

AC = ?

AC^2 = AB^2 + BC ^ 2

AC^2 = 24^2 + 7^2

AC^2 = 576 + 49

AC^2 = √625

AC = 25

sin A = 3/4

CosA = ?

TanA = ?

(Construct a triangle right angled at B with one side BC of 3cm and hypotenuse AC of 4cm.)

AC^2 = AB^2 + BC ^ 2

4² = AB² + 3²

16 = AB + 9

AB = √7cm

= AB/AC

= √7/4

=BC/AB

= 3/√7

Answer:

(a)12

(b)28

(c)1

Step-by-step explanation:

the dots on the plot for a and b and for c It's almost exactly a whole hour decrease of HW a student is likely to do for every extra hour a student watches TV

Answer:

that is cuban that answer is easy (200)=1902

The probability of having a height that is between 158 cm and 163 cm is 0.69011 and the value of x is 169 centimeters

The given parameters are:

Calculate the z-scores at x = 158 and x = 163 using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So, we have:

[tex]z = \frac{158 - 161}{6} = -0.5[/tex]

[tex]z = \frac{163 - 161}{6} = 0.33[/tex]

The probability is then represented as:

P(158 ≤ x ≤ 161) = P(-0.5 ≤ z ≤ 0.33)

Using the z table, we have:

P(158 ≤ x ≤ 161) =  0.69011

Hence, the probability of having a height that is between 158 cm and 163 cm is 0.69011

The probability is represented as:

P(X ≥ x) = 1%

Express as decimal

P(X ≥ x) = 0.10

The z-score at p = 0.10 is:

z = 1.282

Substitute z = 1.282 in [tex]z = \frac{x - \mu}{\sigma}[/tex]

[tex]1.282 = \frac{x - \mu}{\sigma}[/tex]

Make x the subject

[tex]x = 1.282\sigma + \mu[/tex]

Substitute values for standard deviation and mean

x = 1.282 * 6 + 161

Evaluate

x = 168.692

Approximate

x = 169

Hence, the value of x is 169 centimeters

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Answer:

The bottom one ....see below

Step-by-step explanation:

Using reference angle of pi/8   and half angle trig identity:

cos ( angle/2) = -sqrt  (1 + cos (angle) /2)

cos ( pi/4  / 2) = - sqrt (1+ cos ( pi/4)/2)

  cos (pi/8)      = -    sqrt (1 + sqrt (2) / 2)

                 = - sqrt (1 + sqrt 2) / sqrt 2     rationalize the denominator

                    = - sqrt ( sqrt 2 + 2) / 2

re arrange to

          - sqrt ( 2 + sqrt2)  / 2        the fourth answer  

Answer:

Constant term of an algebraic expression: A term of an algebraic expression which has a fixed numerical value in all situations and does not have any variable is called the constant term of an algebraic expression.

For examples, in the algebraic expression 5x + 2y + xy + 10, 10 is the constant term of the expression. therefore from the above algebraic expression 2x²+x-1, -1 will be the constant term

Replace z with the number inside the parenthesis:

f(z) = 3z-8

a. 3(-4) - 8 = -12-8 = -20

b. 3(1/2)-8 = 1 1/2 - 8 = -6 1/2

c. 3(z-7) - 8 = 3z-21-8 = 3z-29

Answer:

a=2

Step-by-step explanation:

-13 + 5a = 3a -9 Distribute 3 through the parentheses

-13 + 5a - 3a = -9 Move the variable to the left hand side and change the sign

2a= -9 + 13 collect like terms

2a=4 Divide both sides by 2

a=2

Omar ran farther than Paula by 950 meters. The total distance covered by Omar and Paula is 745000 centimeters.

The conversion of a unit from one dimension to another takes a standard approach. Here, we will be looking at conversion from kilometers and meters and meters to centimeters.

Given that:

Thus, It implies that Omar ran farther than Paula by 950 meters.

The total number of distance covered = (3250+ 4200) meters

= 7450 meters

= 745000 centimeters.

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Answer:

es esta 1/5 y 6/8 o 15 y 68?

Answer:

10x^2+2x+13

Step-by-step explanation:

10x^2+3 - (-2x-10)

10x^2+3 +2x+10

10x^2+2x+13

Step-by-step explanation:

Given the following question:

[tex](x-2)^2+(y-2)^2=9[/tex]

First thing we need to keep in mind is the fact that this graph is indeed a circle. We know this because we are adding two cubic roots to each other which makes the graph a circle. We know the two separate functions are cubic roots because they each have an exponent of two. Not only is this function whose graph is a circle, but the midpoint of this circle is (2,2).

Hope this helps.

[tex](g\circ f)(x)\\\\=g(f(x))\\\\=g(x-4)\\\\=e^{x-4}[/tex]

Answer:

45.98

Step-by-step explanation:

there ya go I did this before so I know the correct answer

Answer:

x = 23.0

Step-by-step explanation:

To solve, you have to make the equation:

[tex]cos(64)=\frac{9}{x}[/tex]

Now multiply x to both sides:

[tex]cos(64)*x=9[/tex]

Next divide both sides by cos(64):

[tex]x=\frac{9}{cos(64)}[/tex]

x = 22.9675486404

Round to the tenth:

x = 23.0

Hope it helps and have a nice day!

Answer:

-4

Step-by-step explanation:

Consider (-4, -2) and (-2, -10).

Change in x: 2

Change in y: -8

Slope = (change in y)/(change in x) = -4

The slope of the function is -4.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us take two points from the table

(-4, -2) and (-2, -10)

Slope = -10+2/-2+4

=-8/2

=-4

Hence, the slope of the function is -4.

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let x = horses

5x = cows

x + 5x = 132

6x = 132

Divide both sides by 6

X = 22

he has 22 horses and 110 cows

There are 22 horses and 110 cows.

"It is a mathematical statement which consists of equal symbol between two mathematical expressions."

For given question,

Let 'c' represents the number of cows and 'h' represents the number of horses.

A rancher raises 5 times as many cows as horses.

So, we get an equation,

⇒ c = 5 × h                        .................(i)

There are 132 animals.

So, we get an equation,

⇒ c + h = 132                    ..................(ii)

Substitute the value of c = 5h in equation (ii)

⇒ c + h = 132

⇒ 5h + h = 132

⇒ 6h = 132

⇒ h = 22

This means, there are 22 horses.

Substitute the vale of h in equation (i),

⇒ c = 5 × h  

⇒ c = 5 × 22

⇒ c = 110

This means, there are 110 cows.

Therefore, there are 22 horses and 110 cows.

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Answer:

b)

Step-by-step explanation:

because there will be more

Answer: -0.8

Step-by-step explanation:

3.2 - 4  = -0.8

Volume is a three-dimensional scalar quantity. The volume of the rectangular prism is 200 in³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the rectangular prism of the length of 8 inches, the width of 2 inches, and the height of 12 1/2 inches can be written as,

The volume of the rectangular prism = 8in × 2in × 12.5in

                                                               = 200 in³

Hence, The volume of the rectangular prism is 200 in³.

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Answer:

If it is a hamburger, it can be held in your hands.

Step-by-step explanation:

The value of WACC is 6.72%

WACC is calculated by multiplying the cost of each capital source (debt and equity) by its relevant weight by market value, and then adding the products together to determine the total.

WACC=[(Market value of Equity*cost of equity+ Market value of Debt* post tax cost of debt)/(Market value of Equity+ Market value of Debt)]

Market value of Equity= 40,000*$85=$3,400,000

Cost of equity=Risk free return+ Beta equity*market retrun

=4 +0.67*15

=7.35

Market value of Debt

=2000*1105.38

=2,210,760

Post tax rate of debt

=9*80(1-20)

=0.0576= 5.76%

WACC= [$3,400,000* 7.35+ 2,210,760 *  5.76%]\ $3,400,000+2,210,760

=6.72%

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Answer: Both plans cost the same when 50 texts are sent.

Step-by-step explanation:

When x=50 (meaning 50 texts are sent), the y coordinate (which represents the cost) is the same.