a coffee mug collection includes four red mugs, eight yellow mugs and two white mugs. What is the probability of selecting two white mugs one after another?

Answers

Answer 1

Assuming that the selection process was done without replacement, the probability of selecting two white mugs without replacement is 1/28

Given data

Sample Space

Red mugs = 4

yellow mugs = 8

white mugs = 2

Sample Size = 4+8+2 = 14

We are going to assume the selection was done with out replacement

Hence the probability of selecting the first white mug is

Pr(W1) = 2/8 = 1/4

The probability of selecting the second white mug is

Pr(W2) = 1/7

Hence the probability of selecting  two white mugs one after another

= 1/4*1/7

=1/28

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Related Questions

What is the greatest common factor shared by 40 and 20?
Answer here
SUBMIT

Answers

Answer:

20

Step-by-step explanation:

factors of 20 = 1 2 4 5 10 20

factors of 40 = 1 2 4 5 8 20 10

therefore 20 is the greatest common

Approximately what portion of the circle is shaded blue?

A. 2/5
B. 2/3
C. 1/3

Answers

The answer I got was B.

Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropiate formula. The perimeter is 98 in. and the width is 22 in.

Answers

Answer:

the length of rectangle is 27 in

Gravity is a force that acts upon a ball after it is thrown?


A. True


B. False

Answers

True or false, depending on the specifics. True, because the gravity makes it go to the ground. False, because gravity is always working, so you don't need to throw the ball. However since it doesn't say that it only happens when you throw it. The answer should be true.

What is the slope of the line?

Answers

Answer:

-3/4

Step-by-step explanation:

What is the length of CB in ABC

Answers

There needs to be values to answer the question.

Anita earns 40 points every time she shops at Brookshire's. She needs a total of 1,500 points to receive a free set of dishes. So far she has earned 300 points. How many more times will Anita need to shop at the grocery store to earn the points she needs to earn the dishes?
a. 1800
b. 30
c. 1200
d. 45

Answers

B,
1500 - 300 = 1200
1200/40 = 30
Answer:Anita will need to visit Brookshire 30 more times to receive a free set of dishes.Step-by-step explanation:

We know that:

1500 - 300 = required points to receive a free set of dishes1 day = 40 points.

Now, let's simplify.

=> 1500 - 300 = required points to receive a free set of dishes=> 1200 = required points to receive a free set of dishes=> 1 time = 40 points=> 1 time × 30 = 40 × 30                                                    [30 x 40 = 1200]=> 30 times = 1200 pointsConclusion:

Therefore, Anita will need to visit Brookshire 30 more times to receive a free set of dishes.

Hoped this helped

[tex]BrainiacUser1357[/tex]

A sequence of patterns is made from circular tiles and square tiles. Here are the first three patterns in the sequence:


a) How many square tiles are needed to make Pattern Number 7? [2 MARKS]

b) How many circular tiles are needed to make Pattern Number 20? [2 MARKS]

c) When the pattern number is odd, the total number of tiles (SQUARE & CIRCULAR) needed to make the pattern: A - will always be even | B - will always be odd | C - could be even or odd | [2 MARKS]


!! PLEASE ANSWER ALL OF THE QUESTIONS !!

Answers

Answer:

  a) 49

  b) 84

  c) (B) -- always odd

Step-by-step explanation:

We observe that the number of square tiles is the square of the pattern number. The number of circular tiles is 1 more than the pattern number on each side of the square.

  square tiles = n²

  circular tiles = 4(n +1)

__

a)

7² = 49 square tiles are needed for pattern number 7.

__

b)

4(20+1) = 84 circular tiles are needed for pattern number 20.

__

c)

The parity of the number of square tiles matches the parity of the pattern number. (The square of a number has the same parity as the number.) Since 4 is a factor in the number of circular tiles, its parity is always even. The parity of the total number of tiles will match the parity of the pattern number.

When the pattern number is odd, the total number of tiles will always be odd. (B)

Given: Triangle ABC Prove: m∠A=64°

By the triangle sum theorem, the sum of the angles in a triangle is equal to . Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=64°.

Answers

Answer:

Given: Triangle ABC Prove: m∠A=64°

By the triangle sum theorem, the sum of the angles in a triangle is equal to . Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=150

X=
Y=
Find the values of X and Y

Answers

Answer:x = 50°y = 65°Step-by-step explanation:

We can clearly see that the triangle is an isosceles triangle. This also means that y must equal to 180 - 115. Let's solve.

=> x + y + 180 - 115 = 180=> x + y + 65 = 180

Since 180 - 115 equals 65, this means that y = 65.

=> x + 65 + 65 = 180=> x + 130 = 180=> x = 180 - 130=> x = 50Conclusion:

Therefore, our answers are:

x = 50°y = 65°

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

What is the relationship between vertices and edges in a pyramid? In a prism?

Answers

Answer: depends on the shape of it but mostly equal

Step-by-step explanation: hope it helps

please help asap!!!!!!!!

Answers

Answer:

$3192.5.

Step-by-step explanation:

First $3000 tax is 3000 * 0.02 = $60.

Second $2000 tax is 2000 * 0.03 = $60.

Third $12000 tax is 12000 * 0.05 = $600.

Last $43,000 tax is 43000 * 0.0575 =$2472.5

Total income tax = $3192.5.

Find m

U
W
V
∠UWV.

Answers

180-112\2. the answer is 34°.

4.
The expression V-18 can be rewritten as ✓-1. 9. 2. What is a simplified version of the
expression?
А 3iv2
8 312
C -3iv2
D-3V2

Answers

i tink its a water balon bcuz i sad so, and my dad left at age 1 cuz he wanted too

I need help with math

Answers

51+60= 111 Answers fast rights

Find the exponential function f(x)=ab^x that satisfies the conditions f(0)=-4 and f(-2)=-64.
f(x)=

Answers

[tex]f(x) = ab^x~\hfill \begin{array}{llll}\textit{we know that}~f(0)=-4\begin{cases}x=0\\f(x)=-4\end{cases}\\\\-4=ab^0\implies -4=a(1)\implies -4=a\end{array}\\\\\\\stackrel{therefore}{f(x)=-4b^x}~\hfill \textit{we also know that}~f(-2)=-64\begin{cases}x=-2\\f(x)=-64\end{cases}[/tex]

[tex]-64=-4b^{-2}\implies \cfrac{-64}{-4}=b^{-2}\implies 16=b^{-2}\implies 16=\cfrac{1}{b^2} \\\\\\ b^2=\cfrac{1}{16}\implies b=\sqrt{\cfrac{1}{16}}\implies b = \cfrac{\sqrt{1}}{\sqrt{16}}\implies b = \cfrac{1}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(x)=-4\left( \frac{1}{4} \right)^x~\hfill[/tex]

Need an answer here please

Answers

Answer:

Option 4:  A ║B

Step-by-step explanation:

Given the following statements:

[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]

[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex]

We can apply the Lines Perpendicular to a Transversal Theorem, which states that if two lines intersect and are perpendicular to that same transversal, then those two lines are parallel.  

In the given conditional statement, [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]  and  [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex], line [tex]\displaystyle\mathsf{\overline{X}}[/tex] is the transversal that cuts through both lines  [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex].  

Therefore, lines  [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex] are perpendicular to line [tex]\displaystyle\mathsf{\overline{X}}[/tex].  Hence, by the Lines Perpendicular to a Transversal Theorem,  [tex]\displaystyle\mathsf{\overline{A}}[/tex][tex]\displaystyle\mathsf{\overline{B}}[/tex].  

A radio or television broadcast giving up-to-date happenings is called a ____.

documentary
motion picture
commercial
newscast

Answers

the answer is D newscast

what is an equation of the line that passes through points (4,-8) (-4,2)?

Answers

Answer:The equation of the line that passes through the points (–12, –8) and (–17, –16) is y + 16 = 8/5(x + 17). slope = (-16 + 8)/(-17 + 12) = -8/-5 = 8/5 y + 16 = 8/5(x + 17)

Step-by-step explanation:

In slope intercept form it would be y=-1.25x-3

Solve the equation algebraically show work to support the answer
2/3x + 4 = 2

Answers

Answer:

2/3x + 4 = 2

or,3x+2+4=2

or,3x+6=2

or,3x=2-6

or,3x=-4

or,x=-4/3

x=-1.33

Solve two eighths times four fifths

Answers

1/5 is the answer if you taking about 2/8 times 4/5

Answer:

8/40 or 1/5

Step-by-step explanation:

2x4=8

8x5=40

That gives us the answer of 8/40 but if you need simplifying just divide 8/40 by 8/8 and you will get the final answer of 1/5

On a number line, where would
7/10 be located? Choose all answers that make
a true statement.

Answers

7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are

B. To the left of 8/10

C. To the right of 3/10

Number line

From the question, we are to determine where 7/10 would be located

7/10 is the same as 0.7

0.7 < 8/10 (0.8)

and

0.7 > 3/10 (0.3)

Hence, 7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are

B. To the left of 8/10

C. To the right of 3/10

Learn more on Number line here: https://brainly.com/question/11135636

#SPJ1

20x9 and I need help I don’t do math so can u help me

Answers

Answer:

180

Step-by-step explanation:

So you can get rid of the zero in the 20 for now and just solve 2 x 9, which is 18. Now you take the zero you got rid of earlier and put it at the end of 18 to get 180.

I hope this helps.

Answer:

180

Step-by-step explanation:

There is two ways you can do this. You can do:

20

x 9

180

This is because you multiply from right to left. 0 x 9 = 0 (anything x 0 always = 0.) And 2 x 9 = 18.

The second way takes a lot longer, but it works. You could do:

20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 180.

Hope this helps.

the two windows shown are similar. What is the height of the larger window?​

Answers

Answer:

The height of the larger window is 15.36 units.

Step-by-step explanation:

Let the height of the larger window be h.

The width and height of smaller window are 5 and 8 respectively.

The width and height of smaller window are 9.6 and h respectively.

It is given that both windows are similar. The corresponding sides of similar figures are proportional.

\frac{5}{9.6}=\frac{8}{h}

9.6

5

=

h

8

5h=8\times 9.65h=8×9.6

5h=76.85h=76.8

Divide both sides by 5.

h=\frac{76.8}{5}=15.36h=

5

76.8

=15.36

Therefore the height of the larger window is 15.36 units.

What is the product of 10 x 10 x 10, using an exponent? ​

Answers

Answer:

10^3

Step-by-step explanation:

Answer:

10³

Step-by-step explanation:

10 × 10 × 10 = 10³

The following system of equations will be used to answer all remaining questions.
(8 - 12)
x + 2y = 11
2x + 3y = 18
=
Write the system as a matrix equation then identify the coefficient matrix.

Answers

The given equation above written in the form AX = b will be;

[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]

Given the system of equation;

x + 2y = 11 2x + 3y = 18

This equation can be represented in matrix form as [tex]AX = b[/tex]

where:

A is the coefficient of  the matrixX is the variablesb is a column matrix

The given equation above written in the form AX = b will be;

[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]

Learn more on equation matrix here: https://brainly.com/question/11989522

5) Using the formula A=652
find the surface area of a
cube with sides measuring 8
inches.

Answers

Answer:

81.5

Step-by-step explanation:Cube has all sides of equal dimensions and like that it has 6 faces.

So total surface area of cube is equal to the combined area of all the six faces.

Now each face has equal dimensions so same area

Therefore,

area of a single face =side²

Therefore, area of entire cube = 6 times the area of a single face

= 6 * side²

.

Find the slope of the line y=−5x−4

Answers

Answer:

-5

Step-by-step explanation:

I hope this helps!

Answer:

-5

Step-by-step explanation:

The slope of the line in this format is the coefficient of x, or the number in front of x.

Express the following exponential functions in logarithmic form.


1. 10^8 = 100, 000, 000


2. 10^-4 = 0.0001

Answers

Answer:

see explanation

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

(1)

[tex]10^{8}[/tex] = 100,000,000 ( with b = 10 and n = 8 )

[tex]log_{10}[/tex] (100,000,000) = 8

(2)

[tex]10^{-4}[/tex] = 0.0001 ( with b = 10 and n = - 4 )

[tex]log_{10}[/tex] (0.0001) = - 4

Four tour buses depart the terminal on the same day. The itinerary of the first bus takes 6 days, for the second bus it takes 8 days, for the third bus it takes 10 days, and the fourth bus takes 15 days. Assuming that another tour begins the same day that the bus returns to the terminal, how many days will it take until all four buses return to the terminal on the same day?

Answers

Using the least common factor, it is found that it will take 120 days until all four buses return to the terminal on the same day.

Considering their itineraries, the number of days it will take until all four buses return to the terminal on the same day is the lcm of 6, 8, 10 and 15.

To find their least common factor, we factor each number by prime numbers, hence:

6 - 8 - 10 - 15|2

3 - 4 - 5 - 15|2

3 - 2 - 5 - 15|2

3 - 1 - 5 - 15|3

1 - 1 - 5 - 5|5

1 - 1 - 1 - 1

Hence, lcm(6, 8, 10, 15) = 2³ x 3 x 5 = 8 x 15 = 120.

It will take 120 days until all four buses return to the terminal on the same day.

To learn more about the least common factor, you can take a look at https://brainly.com/question/24873870

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