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

The average of two numbers is 70. If one of the number is 32, what is the 2nd number?​

Answers

Answer:

The second number would be 108.

Step-by-step explanation:

Multiply 70 by 2 and subtract 32 from the product.

A colony of bacteria is growing at a rate of 50% per hour. If this rate of growth remains the same and the colony starts with 100 bacteria, approximately how many bacteria will there be after 6 hours

Answers

Answer:

1,139.0625

Step-by-step explanation:)

100 BACTERIA to start

1Hour = 50% of the start (which is 100 so half would be 50) this suggest 100+50= 150

2hour = 50% of 150 which is 75 and this suggest

150+75= 225

3 hour = 50% of 225 which is 112.5 this suggest

225+112.5=337.5

4hours = 50% of 337.5 which is 168.75 this suggest

337.5 + 168.75=506.25

5hours = 50% of 506.25 which is 253.125 this suggest

506.25+253.125=759.375

6hours = 50% of 759.375 which is 379.6875 this suggest

759.375+379.6875=1,139.0625

Answer: 1139 bacteria

Help with number 2

No links
No jokes to just get points

Answers

Answer:

A. Circle  -2.5x and 1.7x list x  B. List t and s C. Circle 15k and 2/5k list k and m

Step-by-step explanation:

You do it??

what’s is value of X

Answers

Answer:

3

Step-by-step explanation:

Each time Cheryl runs, she runs 4 miles. She rides her bike only on Saturdays and always for 10 miles. She exercises the same amount each week. She rides and runs for a total of 26 miles in a week. Write an equation that can be used to find out how many times Cheryl goes running each week.

Answers

Answer: 26 = 4x + 10 and Cheryl goes running four times per week.

Step-by-step explanation: Let x equal the number of times Cheryl runs. 26 minus 10 is 16. 16 divided by 4 is 4.

The Hayes family and the Rodrigues family use their sprinklers last summer. The water output rate for the Hayes family sprinkler was 15 L per hour. The water Output rate for the Rodriguez family speakers is 30 L per hour.Families used their sprinklers for a combined total of 75 hour result in a total water of output of 1725 L how long was a sprinkler used?

Answers

Answer:

Hayes family: 35 hoursRodrigues family: 40 hours

Step-by-step explanation:

Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.

  15x +30y = 1725 . . . . . total liters of use

  x + y = 75 . . . . . . . . . total hours of use

The second equation lets us write an expression for y:

  y = 75 -x

This can be substituted into the first equation to give ...

  15x +30(75 -x) = 1725

  -15x + 2250 = 1725 . . . . . . simplify

  -15x = -525 . . . . . . . . . . . subtract 2250

  x = 35 . . . . . . . . . . . . . . divide by -15

  y = 75 -35 = 40

The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.

A lock consist of 4 dials, where each dial has 6 letters.what is the probability of guessing the right combination in one try?

Answers

Answer:

Step-by-step explanation:

The total number of choices is 6 * 6 * 6 * 6 = 1296

You have one chance to get it right

That's 1/1296 = 0.00077

Answer:

1/1296

Step-by-step explanation:

The probabilty of getting one of the dials correct is 1/6 because there are 6 letters on each dial. So if there are 4 dials, then the chance is multiplied by itself 4 times (1/6 * 1/6 *1/6 * 1/6). 1/6 * 1/6 *1/6 * 1/6 is equal to 1/1296.

LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.

Answers

Answer:  126

=====================================================

Work Shown:

Let x and y be the two numbers.

We're given x = 162 and the variable y is unknown.

We're also given LCM = 1134 and HCF = 18

So,

LCM = (x*y)/HCF

1134 = 162*y/18

1134 = (162/18)y

1134 = 9y

9y = 1134

y = 1134/9

y = 126

The other number is 126

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

Notice that

162 = 18*9126 = 18*7

showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.

Now let,

A = multiples of 162B = multiples of 126

So,

A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...

We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.

what is the example of a product that will have the same number of zeros in the factors and the products? what is one example of a product that will not have the same numbers of zeros in the factors as the product​

Answers

Answer:

same: 30×40 = 1200different: 20×50 = 1000

Step-by-step explanation:

Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product

Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product

__

Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product

Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point

_____

For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.

Example: neither 2 nor 5 has a factor of 10, but their product does.

__

For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)

_____

Additional comment

Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.

Which expression is NOT equivalent to the others?
14^2 x 12^2 x 12^1
14^2 x 12^3
14 x 14 x 12 x 12 x 12
14^1 x 14^1x 12^2 + 12^1

Answers

The last one is different . The last one is adding the 12s

The angle of depression from a window 10 m above the ground to a coin on the ground is 15°. Find the distance of the coin from the base of the building. Show your reasoning for each step.

Answers

Here is the answer and the working

Solve for X
5x-8 Answer is not 4.5 or 9/2

Answers

Answer:

[tex]{ \rm{5x - 8 < x + 10}} \\ \\ { \rm{5x - x < 10 + 8}} \\ \\ { \rm{4x < 18}} \\ \\ { \rm{x < 4.5}}[/tex]

Solving for x in the inequality gives us;

x < 4.5

Inequality

We are given the inequality;

5x - 8 < x + 10

The first step is to use addition property of equality to add 8 to both sides;

5x - 8 + 8 < x + 10 + 8

5x < x + 18

Use subtraction property of equality to subtract x from both sides to get;

5x - x < x + 18 - x

4x < 18

Using division property of equality, we have;

x < 18/4

x < 4.5

Read more on inequalities at; https://brainly.com/question/25275758

I need help with this and i dont know how to do it

Answers

Answer:

  see attached

Step-by-step explanation:

In general, you plot the solution to an inequality by placing a dot at the bound, then extending a line in the direction indicated by the inequality.

If the inequality symbol is < or >, the dot will be an open circle.

If the inequality symbol is ≤ or ≥, the dot will be a solid dot. That is the kind of dot needed here.

The boundary (dot) location for x ≥ -8 is at -8 on the number line. The inequality indicates that values of x greater than that are in the solution set, so the line will be shaded to the right of the dot.

The boundary (dot) location for x ≤ -2 is at -2 on the number line. The inequality indicates that values of x less than that are in the solution set, so the line will be shaded to the left of this dot.

Since the values of x must satisfy both inequalities (the conjunction is "and"), the solution set is where the lines overlap—between -8 and -2 on the number line.

_____

Additional comment

I find it useful to write inequalities with the "arrow" pointing to the left. Here, the inequalities would be written ...

  -8 ≤ x and x ≤ -2

Note that x is in the middle when the far left number is less than the far right number. (-8 < -2). That means, the inequality can be written as the compound ...

  -8 ≤ x ≤ -2

When the inequalities are written in this way, with arrow(s) pointing left, the location of the variable relative to the constant is the location of the shaded line relative to the dot representing the constant. Here, the appearance of ...

  -8 ≤ x ≤ -2

effectively shows you that the number line is shaded between solid dots at -8 and -2.

3 2/3 + 2 3/5 + x = 8

Answers

Answer: x= [tex]-\frac {109}{15}[/tex]

Choose the fraction that goes in the blank. 5/12< _____<3/4

Answers

Answer:

7/12 or 8/12 are both good options

Step-by-step explanation:

nvr mind, its 7/12 only

hello please help me​

Answers

Answer:

I think it is 249 for the first one and the second one i dont know sorry

Step-by-step explanation:

The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width

Answers

Answer:

Length is 90yards and width is 60yards

Step-by-step explanation:

Perimeter= 2( length+width)

let the width be x

then the length will be 30 + x

300 = 2(30+x+x)

150 = 30 + 2x

120= 2x

x = 120/2

x = 60 yards

length= 30+x

= 30 + 60

= 90yards

Question 9 of 10 What is the length of DE?

Answers

Answer:

I think it's B.

Step-by-step explanation:

Choose the symbol that correctly compares the fractions below.

Answers

Answer: A. ( > )

Step-by-step explanation: When you learn fractions, the fraction with the smaller numerator ( the top number) is the greater fraction because it contains more parts of the whole.

Can someone help me find w and X for my parallelogram ?? Will mark brainiest :)

Answers

Answer:

5x+3x=8x, 6w+2w=8w is the answer

When f(x)=4, what is the value of x?
This mapping shows a functional relationship.
Domain
Range
оо
O 2
2
4
3
-3
0
4
-1
→-1
→ 3

Answers

Check the picture below.

The value of f(x) at x=4 is 2.

What is Function?

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

We have to find the value of function for x=4.

This means that from the figure we have to find the value of y when x= 4.

Now, looking into the figure we have

f(4)= 2

f(0)= -2

f(-1)= -1

f(3)= 4

So, the required value is 2.

Learn more about Function here:

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A ladder that is 17 feet in length is resting on a branch of a tree and the base of the ladder is 8 feet from the tree on the level ground how high up is the branch on which the latter is resting

Answers

Answer:

9 feet

Step-by-step explanation:


A textbook store sold a combined total of 272 biology and math textbooks in a week. The number of math textbooks sold was 50 less than the number of biology textbooks sold. How many textbooks of each type were sold? Number of biology textbooks sold: number of math textbooks sold:

Answers

Answer:

b = 161, m = 111

Step-by-step explanation:

b + m = 272

m + 50 = b

Substitute

m + 50 + m = 272

2m = 222

m = 111

Plug in for m

b + 111 = 272

b = 161

HELP PLEASE!!! 50 POINTS INCORRECT ANSWERS WILL BE REPORTED.

Answers

Congruent means same so the equation is
5x+24=9x-17
Subtract 5x on both sides
24=4x-17
Add 17 to both sides
41=4x
Divide by 4
10.25

F(x)=2x^2+7 what is the value f(-2)

Answers

Answer:

f(x)=2(x+7/4)^2-49/8

Step-by-step explanation:

1 2/5m-3/5(2/3m+1)pls help

Answers

Answer:  (10m-3)/5

Step-by-step explanation:

Convert 1 2/5 into an improper fraction

Simplify  5+25+2  to  7

Simplify 2/3m to 2m/3

Simplify 7/5m to 7m/5

Expand and remove the parenthesis

Collect the like terms

Simplify

A tv originally cost 400$ how much is the final cost of the tv if the sales tax is 8%

Answers

Multiply 400 by 8% and add it to 400:

400 x 0.08 = 32

400 + 32 = 432

Answer: $432

(3v^5-34v^4+79v^3+5v^2+21v+19)\(v-8)

Answers

Answer:

3 big guys

Step-by-step explanation:

Answer:

Step-by-step explanation:

we find by synthetic division.

v-8=0

v=8

8 |  3  -34   79   5   21   19

  |  -     24  -80 -8  -24 -24

  |----------------------------------

     3   -10    -1   -3    -3  |-5

Quotient:-3v^4-10v³-v²-3v-3

Remainder:- -5

What is the common ratio of the sequence?
-2, 6, -18, 54,...

A.-3
B.-2
C.3
D.8

Answers

-3 bc i know everything

Evaluate 40x40x402x2x2

Answers

Answer:

2,572,800

Step-by-step explanation:

I hope this helps!

Answer: 40 x 40 x 402 x 2 x 2 =128,640

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