two boxes contain the following pieces of chalk of the same size. 2 red, 1 yellow, 4 green, 3 white, and 2 blue pieces. If one piece of chalk will be randomly selected from each box, what is the probability that both pieces will be white? A.) 1/16 B.) 1/22 C.) 1/4 D.) 1/36​

Answers

Answer 1

Answer:

1/4 would be your answer

Step-by-step explanation:

There are four other pieces (I think)

Answer 2

Answer:

Option A.  [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

Two boxes contains the following pieces of chalk of the same size.

Red = 2

Yellow = 1

Green = 4

White = 3

Blue = 2

Each box contains = 2 + 1 + 4 + 3 + 2  = 12 pieces of chalk of the same size.

There are total pieces of chalks are 12 and white chalks are 3 in each box.

If one piece of chalk will be randomly selected from each box.

The probability of first box that piece will be white = [tex]P_{1}=\frac{3}{12}[/tex]

The probability of second box =  [tex]P_{2}=\frac{3}{12}[/tex]

Therefore,  P =  [tex]p_{1}[/tex] × [tex]p_{2}[/tex]

                   P = [tex]\frac{3}{12}[/tex] × [tex]\frac{3}{12}[/tex]

                   P = [tex]\frac{1}{4}[/tex] ×  [tex]\frac{1}{4}[/tex]

                   P = [tex]\frac{1}{16}[/tex]

The probability that both pieces will be white is  [tex]\frac{1}{16}[/tex] .


Related Questions

There are 323 servings in a 14.5 ounce bottle of salad dressing. How many ounces is in one serving?
———————————————
How do I solve problems like this one?

Answers

22.27

You need to divide the amount of servings by the amount of ounces in total

Anne bought 3 hats for $19.50. which equation could be used to find the cost of each equation?

Answers

Answer:

19.50 divided by 3

Step-by-step explanation:

Answer:

3h = 19.50

Step-by-step explanation:

First lets define the price of each hat as the variable h.

Next we know that there are 3 hats so we can write that variable as 3h

We also know that the cost of all 3 hats was $19.50. This means that we can set each side of this equation equal to each other.

This gives us the equation 3h = 19.50

If you were to solve for h, you would get

[tex]h = \frac{19.50}{3}[/tex]

Which would simplify to

h = 6.50

This means that each hat costs $6.50

Solve -5 w = -80 for w .

Answers

Answer:

I think the answer is  w = 16

Step-by-step explanation:

start by dividing -5 from both sides.

-5w=-80

/

-5

w=-16

Complete the steps to simplify^5√4 x √2 . Rewrite using rational exponents.

Answers

The answer is 2^(9/10). I did it assuming with the ^5 you mean the 5th root of 4

ANSWER

[tex] {2}^{ \frac{9}{10} } [/tex]

EXPLANATION

The given expression is

[tex] \sqrt[5]{4} \times \sqrt{2} [/tex]

Recall that:

[tex] \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} } [/tex]

[tex]\sqrt[5]{ {2}^{2} } \times \sqrt{ {2}^{1} } [/tex]

[tex]\sqrt[5]{ {2}^{2} } \times \sqrt{ {2}^{1} } = {2}^{ \frac{2}{5} } \times {2}^{ \frac{1}{2} } [/tex]

Recall that:

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

We now apply this property of a exponents to obtain:

[tex]\sqrt[5]{ {2}^{2} } \times \sqrt{2} = {2}^{ \frac{2}{5} + \frac{1}{2} } = {2}^{ \frac{9}{10} } [/tex]

What is y= 4^x with the domain of (-2,0,3)

Answers

Step-by-step explanation:

[tex]\text{Put}\ x=-2,\ x=0\ \text{and}\ x=3\ \text{to the equation}\ y=4^x:\\\\y=4^{-2}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\y=\dfrac{1}{4^2}=\dfrac{1}{16}\\-----------------\\\\y=4^0=1\\-----------------\\\\y=4^3=64[/tex]

What is the name of a polygon that has four congruent sides and these angle measures 80,100,80,100

Answers

Quadrilateral. If you add the angles up on any quadrilateral, it equals 360 (it should always add to 360 for a quadrilateral)

The polygon you're describing is a kite.

To verify this, let's calculate the sum of the interior angles of the polygon:

Sum of interior angles = [tex](n - 2) * 180 degrees[/tex]

For a polygon with 4 sides: [tex](4 - 2) * 180 = 360 degrees[/tex]

Now, let's add up the given angle measures: 80 + 100 + 80 + 100 = 360 degrees

Since the sum of the interior angles matches the calculated sum for a four-sided polygon, and the sides are congruent, the polygon is indeed a kite.

1. Calculate the sum of interior angles: The sum of interior angles of any polygon can be found using the formula (n - 2) * 180 degrees, where 'n' represents the number of sides. For a four-sided polygon, the sum is (4 - 2) * 180 = 360 degrees.

2. Add up the given angle measures: The given angle measures are 80, 100, 80, and 100 degrees. Adding them together gives a total of 360 degrees, which matches the sum calculated for a four-sided polygon.

3. Confirming the polygon type: Since the sum of the interior angles matches the calculated sum for a four-sided polygon, and the sides are congruent (meaning all sides have the same length), the polygon fits the definition of a kite.

Therefore, the polygon with four congruent sides and angle measures of 80, 100, 80, and 100 degrees is indeed a kite.

Complete question:

What is the name of a polygon that has four congruent sides and these angle measures 80,100,80,100

The equation y = 4x + 4 describes the relationship between the quantities x and y. Are the quantities in a proportional relationship? A) Yes, because the graph of the equation is a straight line. B) No, because the graph of the equation is not a straight line. C) Yes, because the graph of the equation passes through the origin. D) No, because the graph of the equation does not pass through the origin.

Answers

Answer:

Step-by-step explanation:

The answer is a I am not sure

The relationship described by y = 4x + 4 is not proportional because Option D. the graph does not pass through the origin. The y-intercept is 4, indicating it does not meet the criteria for direct proportionality.

The equation y = 4x + 4 describes a linear relationship between x and y. However, for two quantities to be directly proportional, their relationship must be of the form y = kx, meaning that the graph of their relationship must pass through the origin (0, 0).

In the equation y = 4x + 4, the y-intercept is 4, not 0. Therefore, the graph of this equation does not pass through the origin.

Option D) No, because the graph of the equation does not pass through the origin.

Read the sentence. Run from your house to the train station because the train will arrive any minute. Which best identifies the adverb clause? A. Run from your house to the train station. B. the train will arrive. C. because the train will arrive any minute. D. from your house to the train station.

Answers

The answer is C. because the train will arrive any minute. This is because an adverb clause is a clause that functions as an adverb, and it modifies or describes a verb, adverb or adjective.

someone help plzz

5 3/16 x 300 =

Answers

Answer:

1556.25

Step-by-step explanation:

5 3/16.25×300=1556.25

Please Help , Is it Abc or D

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

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 )

Given y = 5(x + 1) = 5x + 5 ← in slope- intercept form

with slope m = 5

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex], thus

y = - [tex]\frac{1}{5}[/tex] x + c ← is the partial equation of the perpendicular line

To find c substitute (10, 2) into the partial equation

2 = - 2 + c ⇒ c = - 2 + 2 = 4

y = - [tex]\frac{1}{5}[/tex] x + 4 ← in slope intercept form

Multiply all terms by 5

5y = - x + 20 ( add x to both sides )

x + 5y = 20 ← in standard form → D

Evaluate the function f(x)=3x-2 When X equals -1
-9
-5
1
5

Answers

the answer is negative 5

It’s negative 5, because you have to substitute the x in 3x for negative one, so the equation looks like f(x)= 3(-1) - 2. Then, you solve

What expressions are equal 10^5

Answers

Answer:

10^5 = 100.000

Step-by-step explanation:

We know that 10^5 = 10 * 10* 10 * 10 * 10 = 100.000.

So, we have that 10^5 = 100.000

For this case we have the following expression:

[tex]10 ^ 5[/tex]

Then, as the exponent is positive, we must move the decimal as many times as indicated by the exponent. In this case, we must move it 5 spaces to the right, that is:

[tex]10 ^ 5 = 100000[/tex]

Answer:

[tex]10 ^ 5 = 100000[/tex]

Round 6190 to the nearest hundred

Answers

Answer:

6200

You're rounding to the nearest hundreds place. so every number behind that needs to be a "0"

Find the mean absolute deviation of the following set of data.

31.8, 22.6, 13.8, 16.4, 28.1

A. 112.7
B. 4.96
C. 5.592
D. 18.78

Answers

Answer:

Population size:5

Mean (μ): 22.54

Mean Absolute Deviation (MAD): 5.952

Step-by-step explanation: i hope this helps!!!

plz give 5 star & thanks!

Answer:

5.592

Step-by-step explanation:

What do I do to this

Answers

[tex]d[/tex] stands for distance.

[tex]

d(J, K)=\sqrt{(7-2)^2+(8-4)^2}=\sqrt{25+16}\approx6.4

[/tex]

[tex]

d(J, L)=\sqrt{(1-2)^2+(-1-4)^2}=\sqrt{1+16}\approx4.12

[/tex]

[tex]d(J, K)>d(J, L)[/tex] therefore the answer is D.

Help please, I need help

Answers

Answer:

No, it is not.

Step-by-step explanation:

This is not proportional, however, it is linear

Anja represents the inequality

Answers

Based on the phrase they gave, the inequality would look like this:

[tex]\frac{4-g}{8} >-15[/tex]

[tex]\frac{4-g}{8}\leq-15[/tex]

the quotient(÷) of [the difference(- subtraction) of 4 and a number(g) and 8] is at MOST -15.

since the sign is ≤, this means that the inequality is less than or equal to -15, so -15 is the maximum number for the inequality.

Your answer is the last option

Answer:

(D)

Step-by-step explanation:

I got it right on edge/quiz.

Which of the following points is a solution to the system of equalities? 6x-2y<10

Answers

the possible solutions of this equation. Is that they are not real.

Answer:

Step-by-step explanation:

6x-2y<10 :  3x -y <5

then :  3x -y -5< 0

given the line : 3x-y-5 = 0

the points is a solution to the system of equalities? 6x-2y<10 Located on the line : 3x-y-5 = 0 and under the x - axis.

Write a complex number that lies above the real axis and to the right of the imaginary axis. Then write a complex number that lies below the real axis and to the left of the imaginary axis.

Answers

Answer:

Z = 5 + 3i and Z = -8 - 2i

Step-by-step explanation:

* Lets study the drawing of the complex numbers

- The x-axis is the real axis

- The y-axis is the imaginary axis

* Look to the attached figure

- Any point in the first quadrant is above the real axis and right

 to the imaginary axis (Z4)

# Z = x + yi

- Any point in the second quadrant is above the real axis and left

 to the imaginary axis (Z2)

# Z = -x + yi

- Any point in the third quadrant is below the real axis and left

 to the imaginary axis (Z3)

# Z = -x - yi

- Any point in the fourth quadrant is below the real axis and right

 to the imaginary axis (Z1)

# Z = x - yi

* Now lets solve the problem

- The point above the real axis and right to the imaginary axis lies

 in the first quadrant

∴ The real part is positive and the imaginary part is positive

∴ Z = 5 + 3i

- The point below the real axis and left to the imaginary axis lies

 in the third quadrant

∴ The real part is negative and the imaginary part is negative

∴ Z = -8 - 2i

Final answer:

A complex number that lies above the real axis and to the right of the imaginary axis could be '2 + 3i', while a complex number that lies below the real axis and to the left of the imaginary axis could be '-2 - 3i'. The direction in the coordinate system (upward or rightward is positive, downward or leftward is negative) determines the signs of real and imaginary components.

Explanation:

In the complex plane, a complex number is considered to lie above the real axis if its imaginary part is positive, and to the right of the imaginary axis if its real part is positive. Hence, an example of a complex number that lies above the real axis and to the right of the imaginary axis is 2 + 3i, where 2 is the real part and 3i is the imaginary part.

Conversely, a complex number lies below the real axis if its imaginary part is negative, and to the left of the imaginary axis if its real part is negative. So, an example of such a number could be -2 - 3i, where -2 is the real part and -3i is the imaginary part.

Remember, in the coordinate system used to plot complex numbers, motion upward or to the right is usually considered positive, while motion downward or to the left is considered negative.

Learn more about Complex Numbers here:

https://brainly.com/question/20566728

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Solve for t.

d=3+at^2

Answers

Answer:

it's the 2nd one

Step-by-step explanation:

d = 3 + at^2

-3 | -3

d - 3 = at^2

d - 3/a = t^2

√d - 3/a = √t^2

t = √d - 3/a

Find the slope of a line perpendicular to y=3x+7.

Answers

Answer:

-1/3

Step-by-step explanation:

3(x−4)(x+3)−(x−5)^2
SIMPLIFY

Answers

Answer:

2x^2+7x-61

Step-by-step explanation:

A: A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?

Answers

Answer:

14

Step-by-step explanation:

d=c/pi

45/pi=14

Answer:

14

Step-by-step explanation:

c = pi d

45 = 22/7 d

45 * 7/22 = d

2* 7      = d (approx.)

d = 14 approxiamtely

So the closest estimate dor d is 14

Hope it helps and if it does please mark me brainliest

what decimal is equivalent to 13/11​

Answers

Answer:

1.1818...

Step-by-step explanation:

Divide 13 by 11

13 ÷ 11 = 1.1818...

Answer: 1.1818...

The decimal 1.182 is equivalent to 13/11.

How to convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator.

We can convert the given fraction into decimal form as shown below:

The fraction is given as 13/11.

The numerator is 13 and the denominator is 11.

We are asked to find the decimal form of the given fraction.

This can be done by simplifying the fraction and dividing the numerator by the denominator.

This can be done as shown below:

The fraction = 13/11

= 1.1818

≈ 1.182

The decimal form of the fraction is found. The decimal form of the fraction is 1.182.

Therefore, we have found that the decimal 1.182 is equivalent to 13/11.

Learn more about decimals here: https://brainly.com/question/703656

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please help

-) A garden's length is 6m greater than its width.
The area of the garden is 720 m²
What is the length of the garden?

Answers

Answer:

Length of garden will be 30 metres.

Step-by-step explanation:

Let the Width of garden be x metres.

then,

Length of garden will be (x+6) metres.

Area = Length × Breadth

720 = x X (c+6)

720 = x²+6x

0 = x²+6x-720

As we can see above equation is a quadratic equation in the form of ax²+bx+C.

so,

[tex] = \frac{ - b ± \sqrt{{b}^{2} - 4ac} }{2a} \\ = \frac{ - 6 ± \sqrt{{6}^{2} - 4 \times 1 \times - 720} }{2} \\ = \frac{ - 6 ± \sqrt{36 + 2880} }{2} \\ = \frac{ - 6 ± \sqrt{2916} }{2} \\ = \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2} \\ = \frac{48}{2} ... \frac{ - 60}{2} \\ = 24... - 30[/tex]

One of the Roots of the Quadratic equation is 24 and other is -30.

And as we know width of any garden cannot be negative so the width of garden will be 24 metres.

As we got the width,

adding 6 to it will give us the Length,

So,

24 metres + 6 = 30 metres.

Length of the garden is 30 metres.

Hope It Helped You ;)

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The function h is defined by h(x)=(20x−k)÷x+50, where k is a constant. Find k, if the value of ℎ at x=20 is equal to 65.


ANYONE WHO GETS THIS RIGHT GETS 50 POINTSSSSS!!!!!!!!!!!!!!!! i mean it OH AND BRAINLIEST

Answers

Answer:

The value of k is [tex]K=100[/tex]

Step-by-step explanation:

we know that

[tex]h(x)=\frac{20x-k}{x}+50[/tex]

we have

[tex]x=20\\ h(20)=65[/tex]

substitute in the function and solve for k

[tex]65=\frac{20(20)-k}{20}+50[/tex]

[tex]65-50=\frac{400-k}{20}[/tex]

[tex]15=\frac{400-k}{20}[/tex]

[tex]15*20=400-k[/tex]

[tex]300=400-k[/tex]

[tex]k=400-300=100[/tex]

Answer:

K=100

Step-by-step explanation:

Radius BE is a perpendicular bisector of chord AC. What is the measure of
A. 100°

B. 50°

C. 90°

D. 40°

Answers

Answer:

A. 100

Step-by-step explanation:

50 + 50 + 100

Answer:

A. 100°

Step-by-step explanation:

Let's take a look at the image and make some conclusions.

Angle BAE is 40 degrees

All angles at the crossing of BE and AC are right angles (90 degrees) because they are perpendicular lines.

Since BE is a bisector of angle ABC, we know that angles ABD and DBC are equal.

We don't know angle ABD but it's easy to find... since we know 2 angles from triangle ABE, and the sum of the interior triangles is 180.  So,

ABD = 180 - 40 - 90 = 50

Since ABD is 50 degrees and represents half of angle ABC... we know that ABC is 100 degrees.

Carlos is sorting orchards he sorts them into 75 baskets of 30 and 50 baskets of 45

Answers

Answer:

2.5 & 1.1

Step-by-step explanation:

that answer is correct ^

Three roots of a fifth degree polynomial function f(x) are -2,2 and 4 + i which statement describes the number and nature of all roots for this function?

Answers

Answer:

f(x) has three real roots and two imaginary roots.

Step-by-step explanation:

Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).

Now we need to find about which of the given statements describes the number and nature of all roots for this function.

We know that imaginary roots always occur in conjugate pairs.

So if (4+i) is root then (4-i) must also be the root.

So now we have total 4 roots

-2, 2, (4+i) and (4-i).

Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs

So that means 5th root is real.

Hence correct choice is :

f(x) has three real roots and two imaginary roots.

5x < 45
please help

Answers

ANSWER

[tex]x \: < \: 9[/tex]

EXPLANATION

The given inequality is

[tex]5x \: < \: 45[/tex]

We divide through by 5 to get:

[tex]x \: < \: \frac{45}{5} [/tex]

This will simplify to

[tex]x \: < \: 9[/tex]

Therefore the solution to the inequality is

[tex]x \: < \: 9[/tex]

x < 9

Start with 5x < 45.

Divide both sides of the inequality by 5 to get x < 45 / 5, or x < 9.

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