A bag contains 3red, 4white, 5green balls. Three balls are selected without replacement. Find the probability that the three balls chosen are:
A) all red
B) all green
C)one of each color

Answer:

$338,263

Step-by-step explanation:

first year stays the same, then multiply the years salary x 1.02 for the following years

year 1 = $65000

year 2 = 66300

year 3 = 67626

year 4 = 68978.52

year 5 = 70358.09

total for 5 years = $338262.61

rounded to 338,263.

Answer:

34 inches.

Step-by-step explanation:

In order to ger perimeter you need to find the value of all sides. We know one side is 9 inches. To find the other side length you divide the area by the side length (72/9=8). This is because the formula for area is length times width. To find permiter you add all the side lengths together. A rectangle has 4 sides, so you would do 9+9+8+8

Answer:

Your answer is

x-int: (3 , 0) ,  (-3/2 , 0)

y-int: (0 , -9)

Step-by-step explanation:

Answer:

[tex]q = 34[/tex] when [tex]p = 2[/tex].

Step-by-step explanation:

Variables [tex]p[/tex] and [tex]q[/tex] ([tex]p \ne 0[/tex], [tex]q \ne 0[/tex]) are inversely proportional to one another if one variable- for example, [tex]p[/tex]- is proportional to the reciprocoal of the other variable- [tex](1/q)[/tex].

In other words, if [tex]p[/tex] and [tex]q[/tex] ([tex]p \ne 0[/tex], [tex]q \ne 0[/tex]) are inversely proportional to one another, there would exist a constant [tex]k[/tex] ([tex]k \ne 0[/tex]) such that:

[tex]\displaystyle p = k\times \left(\frac{1}{q}\right)[/tex].

The value of [tex]k[/tex] is constant and is independent of [tex]p[/tex] and [tex]q[/tex]. Given that [tex]p = 17[/tex] when [tex]q = 4[/tex], rearrange the equation above to find the value of [tex]k\![/tex]:

[tex]k = p\, q = 68[/tex].

Rewrite the equation again to find [tex]q[/tex] in terms of [tex]k[/tex] (which doesn't change) and [tex]p[/tex] (which might change):

[tex]\begin{aligned}q &= \frac{k}{p}\end{aligned}[/tex].

Since [tex]k = 68[/tex], given that [tex]p = 2[/tex], the value of [tex]q[/tex] would be:

[tex]\begin{aligned}q &= \frac{k}{p} \\ &= \frac{68}{2} = 34\end{aligned}[/tex].

The amount of time it would will it take him to achieve his goal is B. $5,136; approximately 24 months.

This refers to the emergency funds that are set aside for situations that were not initially budgeted for.

Hence, because Sammy makes about $2,362/month

Rent, car insurance $1,292

Basic groceries, telephone $420

Snack items $260

Annual Savings $130

Annual emergency savings $210

5 years of vacation savings $50

Total= $2,362

Using Sammy's method of putting these budgets into separate checking accounts, the amount which Sammy needs to save to have x3 of his living expenses and the length of time it would take is $5,136; approximately 24 months.

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The answer: 3.15 ✅

Since the middle line between a farction is also division in some cases, divide forty-one by thirteen.

[tex]\frac{41}{13} = 3.15[/tex]

Answer:

3.15

Step-by-step explanation:

First you setup the problem for long division.

Like this: 41/--13 (cant really draw the thing)

After that you you solve it and get 3.15384+ which you round to 3.15 because it is the hundreth.

Answer:

Answer is D. angle DGF and AGC

Answer:

y = 1/4x + 2

Step-by-step explanation:

We do y = mx + b

slope = rise over run = 1/4

Y-intercept = 2

Equation is y = 1/4x + 2

Answer:

y = -0.25x + 2

Step-by-step explanation:

When x=0, y = 2

When y=0, x = 8

X = 0 – 4 = -4

Y = 2 – 1 = 1

[tex]Slope\:(m)=\frac{y}{x} =\frac{1}{-4} =-0.25[/tex]

The triangle ACD is the right angle since it is a triangle in a semicircle. The length of AC from the diagram is 21.9feet

The theorem states that the square of the hypotenuse is equal to the square of the other two sides

From the given circle, the triangle ACD is right angle since it is a triangle in a semicircle

Given the following

Hypotenuse = 26 feet = CD
Base side = AD = 14ft

Required

Length AC

Use the theorem

26^2 = 14^2 + AC^2

AC^2 =  676 - 196
AC^2 = 480
AC = 21.9feet

Hence the length of AC  is 21.9feet

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Answer:

Your answer Exterior C is 160°

Interior C is 20°

Step-by-step explanation:

<A + <B + <C = 180°

<Left C + <Right C = 180°

<A + <B = <Right C

(5x - 10)° + 12x° = 16x

17x - 10 = 16x

x = 10

<A = 5x - 10

<A = 5*10 - 10

<A = 50 - 10 = 40°

<B = 12x

<B = 12*10

<B = 120°

<A + <B = <Right C.

40° + 120° = 160°

In this distribution, the shape that describes the temperature data is left-skewed distribution.

left-skewed distribution serves as a type of more values on the right side (tail) of the distribution graph .

Therefore, From the graph, majority of the data is to the right of the graph which is a left-skewed distribution.

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Answer:

B) left-skewed

Step-by-step explanation:

Using linear function concepts, it is found that the change in the breaking weight of the pennies was of -6 units of weight.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the function is:

y = -6x + 136.

The slope is of m = -6, hence the change in the breaking weight of the pennies was of -6 units of weight.

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Step-by-step explanation:

[tex]33cm = 561g[/tex]

[tex]13cm = x[/tex]

[tex] \frac{13}{33} \times 561[/tex]

[tex]221g[/tex]

Answer: 221

Step-by-step explanation:

33cm = 561g

1cm = 561/33 = 17

13cm = 17 × 13

Answer:

720

Step-by-step explanation:

16=2^4

30=5*3*2

36=(2^2)*(3^2)

so

(2^4)*5*(3^2)=720

Hi ! Dude

Answer:

20 is the correct answer

Step-by-step explanation:

After reading question we can understand that we have to find the value of expression by plugin the value of a .

[tex] \qquad \: \rightarrow 32 - 4a [/tex]

Plugin value of a ,

[tex] \qquad \:\rightarrow \: 32 - 4(3)[/tex]

[tex]\qquad \: \rightarrow \: 32 - 12[/tex]

[tex]\qquad \: \rightarrow \: \underline{ \underline{20}}[/tex]

Hence , 20 is the answer .

        - - - --  - -- - -  -- - - - - -- - - - - - - - - - - - - - - - - - - - - - - - - --

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Evaluate the expression for a=3

32-4a

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Provided Information:-

To Find:-

In order to do that, we should

 [tex]\tt{32-4(3)}[/tex]

Multiply:-

[tex]\tt{32-12}[/tex]

Subtract:-

[tex]\dashrightarrow\bigstar\boxed{\boxed{\underline{\bold{20}}}}\dashleftarrow[/tex]

So our final solution is 20.

     - - -- - - - - - - - - - - - - - - - - -- - - - - - - -  - - -- -- -  - - - -- - - - - - - - - - - - -

Answer:

Alternate Interior

∠3 and ∠6

Alternate Exterior

∠2 and ∠7

Corresponding

∠1 and ∠5

I hoped this helped :)

The solution is, x_1 = -2 + 2√3 and, x_2 = -2 - 2√3, are solutions to the equation below.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

1) Since we've been given the equation x²+4x +4=12 then let's solve it to find the roots

2) Applying the resolutive formula

x²+4x +4=12

x²+4x +4-12 =0

x²+4x -8=0

now, we know, here,

D = b² - 4ac

so, solving we get,

D = 48

Now, the roots are,

x = -b ± √D / 2a

so, here, we get,

x_1 = -2 + 2√3

x_2 = -2 - 2√3

Hence, The solution is, x_1 = -2 + 2√3 and, x_2 = -2 - 2√3, are solutions to the equation below.

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I don't know what is given when I 8th May but if you can please send the answers

Answer:

C

Step-by-step explanation:

lol

Answer:

C= 65.5°

D= 114.1°

Step-by-step explanation:

5x - 6 + 7x +14 = 180

5x + 7x + 14 - 6 = 180

12x + 8 = 180

- 8 - 8

12x = 180

12x/12 = 180/12

x = 14.3

C= 5x - 6

5(14.3)-6

71.5 - 6

C=65.5°

D= 7x + 14

7(14.3) + 14

100.1 + 14

D= 114.1°

65.5 + 114.1 = 179.6°

When this is rounded up, you will get 180°

Hope this helps!

Answer:

y = 2x – 1

Step-by-step explanation:

When x=0, y = -1

When y=0, x = 0.5

Answer:

Step-by-step explanation:

Answer:

x = 1

y = -2

Step-by-step explanation:

adding both quation we get

3x -2y + x + 2y =7 + -3

4x = 4

x = 1

substituting this equation in the earlier equation we get

3 * 1 -2y = 7

3 - 2y = 7

-2y = 4

y = -2

Answer:

[tex]\sf \dfrac{7}{17}[/tex]

Step-by-step explanation:

Given information:

⇒ total number of crayons = 6 + 7 + 4 = 17

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(red\:crayon) =\dfrac{\textsf{Number of red crayons}}{\textsf{Total number of crayons}}=\dfrac{6}{17}[/tex]

If the red crayon is put back in the bag, the drawing of the red crayon prior to drawing the blue crayon will not affect the probability of drawing a blue crayon.

[tex]\implies \sf P(blue\:crayon)=\dfrac{\textsf{Number of blue crayons}}{\textsf{Total number of crayons}}=\dfrac{7}{17}[/tex]

The considered fraction is ationalized by multiplying the numerator and denominator by the expression as given by: Option A: √7 + 2

Suppose the given fraction is [tex]\dfrac{a}{b+c}[/tex]

Then the conjugate of the denominator is given by b - c

Thus, rationalizing the fraction will give us

[tex]\dfrac{a}{b+c} \times \dfrac{b-c}{b-c} = \dfrac{a(b-c)}{b^2 - c^2}[/tex]

(we used the identity [tex](b-c)(b+c) = b^2 - c^2[/tex])

We actually rationalize just for the use of that later denominator or numerator(if they seem to be helpful).

Remember that

[tex]\dfrac{b-c}{b-c} = 1[/tex]

thus, multiplying it with the fraction doesn't change its value, and just change the way how it looks. We assume that b-c is not 0

For this case, the given fraction is:

[tex]\dfrac{5}{\sqrt{7} - 2}[/tex]

Thus, here we will multiply the denominator with [tex]\sqrt{7} + 2[/tex] so that we can use the identity [tex](b-c)(b+c) = b^2 - c^2[/tex].

Thus, we get:

[tex]\dfrac{5}{\sqrt{7} - 2} \times \dfrac{\sqrt{7} + 2}{\sqrt{7} + 2} = \dfrac{5(\sqrt{7} + 2)}{(\sqrt{7})^2 - 2^2} = \dfrac{5(\sqrt{7} + 2)}{3}[/tex]

See, the denominator now looks a bit better. We try to make it look smooth and simplified because division is more complex than multiplication, so its better to have square root term in numerator than in denominator.

Thus, the considered fraction is ationalized by multiplying the numerator and denominator by the expression as given by: Option A: √7 + 2

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Answer: 121 kilometers

Step-by-step explanation:

14.99 + .80x (-14.99) = 111.79 (-14.99)

.80x  (/.80) = 96.8 (/.80)

x = 121