A contestant on a game show must choose 2 of 16 boxes. Once a box is chosen, it is removed from the game. Of the 16 boxes, 3 contain money, 5 contain traveling prizes, and 8 are empty. What is the probability that both boxes are empty?

Answers

Answer 1

Answer:

7 / 30

Step-by-step explanation:

This is a selection without replacement probability :

Total boxes = 16

With money = 3

With traveling prices = 5

Empty = 8

P(choosing 2 empty boxes) :

P(empty) * P(empty)

P(empty) = Number of empty boxes / total number of boxes

First pick = empty

P(empty) = 8 / 16 = 1/2

Without replacement :

Second pick = empty

P(empty) = 7 / 15

P(choosing 2 empty boxes) = 1/2 * 7/15 = 7 /30


Related Questions

Answer PLSSS..................

Answers

rectangle = 3 x 2 = 6 cm2

cirrel = pier2 = 3.14 x 7 x 7 = 3.14 x 49 = 153.86 cm2

153.86 - 6 = 147.86cm2

The sum of 42 fish and x fish is 68 fish. What is the unknown number of fish?

Answers

Answer:

the unknown number of fish is 26

Step-by-step explanation:

I figured this out by subtracting 68 - 47 = x.

x = 26

Answer:

Unknow fishes = 26

Step-by-step explanation:

We are given that 42 and x fishes sum up to 68 fishes, so we can say;

42 + x = 68

x = 68 - 42

x = 26

Therefore the number of unknown fishes = 26

Hope this helps!

Carleigh makes $10 more than sheryl (s) does per hour. Carleigh makes $22 an hour. which equation can be used to figure out how much sheryl makes

s+10=22 or 10+22=s​

Answers

It’s the first one s+10=22

Tell whether the angles are complementary, supplementary, or neither.

Answers

Answer:they are supplementary

Step-by-step explanation:

Can you help? will give brainliest
┐(´ー`)┌

Answers

Answer:

D

Step-by-step explanation:

u are correct

Jan spent 3 3/4 hours doing homework last week. She spent
5 1/4 hours doing homework this week. How many more
hours did Jan spend on homework this week than last
week?

Answers

Answer:

6/4

Step-by-step explanation:

Answer:

Exact Form:

3/2

Decimal Form:

1.5

Mixed Number Form:

1 1/2

Step-by-step explanation:

Can you please help solve and find value of x!

Answers

Answer:

32º

Step-by-step explanation:

Solve for sin(x). Then use inverse sine to get your angle measurement. From there, convert radians to degrees by multiplying by 180/π.

sin (x) = opp/hyp = 8/15

sin-1(8/15) = x = 0.56253 radians

0.56253 radians * 180/π = 32.23º

Round this to 32º

There are 8 different actors auditioning for the roles of Larry, Curly and Moe. How many ways could the roles be cast? Best answer get Brainliest.

Answers

I think the answer is 720 different combinations

what is the difference between 1089 and 4445​

Answers

Answer:

If it is:

1,089-4,445= -3,356

but if it is the other way:

4,445-1,089= 3,356

Hope it helped!

Answer:

Its a Subtraction problem

4445-1089

=3356

What is the y-intercept of the line shown below? Enter your answer as a
coordinate pair. Help!!!!!

Answers

Answer:

(0, 3)

Step-by-step explanation:

y= 3 when x=0

The y-intercept of a line is where the line crosses the y axis, so the x axis is always 0 here. So it is (0,-3)

how to calculate algebraic expression?

Answers

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

40 POINTS

Pleaseee help, I need to turn this in soon.

Answers

Answer:

The Pythagorean identity [tex]\sin^2\theta+\cos^2\theta=1[/tex] comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle [tex]\theta[/tex], we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.

The Pythagorean theorem states that in all right triangles, the following must be true:

[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle.

Therefore, we have the following equation:

[tex](\sin\theta)^2+(\cos\theta)^2=1^2,\\\boxed{\sin^2\theta+\cos^2\theta=1}[/tex]

The Pythagorean identity  comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle , we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.

The Pythagorean theorem states that in all right triangles, the following must be true:

, where  is the hypotenuse of the triangle and  and  are two legs of the triangle.

Therefore, we have the following equation:

pls help me and show your work

Answers

Answer:

Solution given:

[tex]4\frac{2}{3}÷7[/tex]

=[tex] \frac{4*3+2}{3}×\frac{1}{7}[/tex]

=[tex]\frac{14}{3*7}[/tex]

=[tex]\frac{2}{3}[/tex] is a required answer.

An accountant earns an annual salary of $78, 252. Find her gross monthly salary.

Answers

Answer:

she gets paid 6,521 a month

Step-by-step explanation:

just divide 78,252 by 12

Answer:  $6,521

Explanation:

Divide the given value by 12 to get the answer. This is the salary before taxes and such. The net salary is after taxes are taken away.

help!!!!!!! me plzzzz!!!!

Answers

Answer:

1.0

2.undefined

Step-by-step explanation:

Answer:1) 0, 2) is undefined

Step-by-step explanation:

A lawn and garden store surveyed 250 random customers who bought perennial flowers. Participants were asked the question, "Would you like the store to provide more annual flowers or more perennial flowers?"

A report of the survey results stated that customers would prefer the store to provide more perennial flowers than annual flowers.

Select all statements that correctly evaluate the report.

Options:

The question is biased toward a response of wanting more annual flowers.

The question is not biased.

The question is biased toward a response of wanting more perennial flowers.

The sample is not biased.

The sample is biased because it does not represent the population of customers at the lawn and garden store.

Answers

Answer:

The question is not biased

The sample is biased because it does not represent the population of customers at the lawn and garden store

Step-by-step explanation:

I just took the test :)

The question is not biased. The sample is biased because it does not represent the population of customers at the lawn and garden store.

What is randomization?

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

For the 250 random customers who bought perennial flowers. The question is not biased. The sample is biased because it does not represent the population of customers at the lawn and garden store.

To know more about randomization follow

https://brainly.com/question/13219833

#SPJ2

Each day, the seals at an aquarium are fed 8 pounds of food for every 100 pounds of their body weight. A seal at the aquarium weighs 400 pounds.

Answers

Answer:

32 just multiply by four

What is the area of the white border?

Answers

Answer:

you have 48

Step-by-step explanation:

15x2=30

9x2=18

18+30=48

It’s 48

Have a nice day!

What is the value of x when y has a value of -9 ? -3x = y + 51

A) -20
B) -14
C) 14
D) 20

Answers

The best option here is option B) -14

Really need help on this too ASAP thanks for whoever helps me

Answers

Answer:

D 45

Step-by-step explanation:

90/2 = 45

135/3 = 45

180/4 = 45

Unit 9 test: Trigonometry
What is the right answer to this problem?

Answers

Answer:

x = 10.5

Step-by-step explanation:

[tex]cos 65 =\frac {adjacent}{hypotenuse} \\\\0.4226 = \frac{x}{25}\\\\0.4226 \times 25 = x \\\\x = 10.565[/tex]

Answer:

Step-by-step explanation:

take 65 degree as reference angle

using cos rule

cos 65=adjacent/hypotenuse

0.42=x/25

0.42*25=x

10.5=x

What us the range of the data below?

Answers

The range of the data is 12

Check out this right triangular prism: Find the surface area of the right triangular prism (above) using its net (below). units2^22squared

Answers

Answer:

96 squared units

Step-by-step explanation:

Please find attached the diagram used in answering this question

The surface area is equal to the area of each shape

Area of a triangle = Area of a triangle = 1/2 x ( base x height)

1/2 x 2 x 3= 3

there are 4 triangles, area of both triangles = 3x4 = 12

Area of rectangle = length x width

Area of middle rectangle = 6 x 7 = 42

Area of two side rectangles = (3 +3) x 7 = 42

surface area = 42 + 42 + 12 = 96

Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($)| 0 4 6 8 10
Probability 0.45 0.3 0.1 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.

Answers

Answer:

2.65

Step-by-step explanation:

Multiply each payout by its probability, then add those products.

See the attached image.

The first column has the payouts.  The second column has the probabilities. The third column has the results of multiplying a payout by its probability.

The sum of the entries in the third column is 2.65

The expected value is $3.1 if the payout probability distribution is payout ($)| 0 4 6 8 10 probability 0.45 0.3 0.1 0.1 0.05

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

From the table we can find the expected value:

Multiply payout to probability such that:

= 0×0.45 = 0

= 4×0.3 = 1.2

And so on

Now sum all values(refer to the attached table)

= 0+1.2+0.6+0.8+0.5

= $3.1

Thus, the expected value is $3.1 if the payout probability distribution is payout ($)| 0 4 6 8 10 probability 0.45 0.3 0.1 0.1 0.05

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

What is the answer? {y=2x−6 y=5x−21

Answers

The answer would be b because if you substitute 5 in for x y=2x-6 would equal 4 and y=5x-21 would equal 4. I hope this helps!

Answer:

x=5, y=4. (5, 4).

Step-by-step explanation:

y=2x-6

y=5x-21

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

2x-6=5x-21

2x-5x-6=-21

-3x-6=-21

-3x=-21+6

-3x=-15

3x=15

x=15/3

x=5

y=2(5)-6

y=10-6

y=4

(04.06 LC)
The first four terms of a sequence are shown below:
8, 5, 2, -1
Which of the following functions best defines this sequence? (5 points)
f(n) = - 3(n-1) +8; for n 2 1
O f(n) = 3(n-1) +8; for n 2 1
O f(n) = - 5(n-1) +8; for n 2 1
f(n) = 5(n-1) +8; for n 2 1

Answers

Given:

The first four terms of a sequence are:

8, 5, 2, -1

To find:

The function that defines the given sequence.

Solution:

We have,

8, 5, 2, -1

The differences between two consecutive terms are:

[tex]5-8=-3[/tex]

[tex]2-5=-3[/tex]

[tex]-1-2=-3[/tex]

The given sequence has a common difference -3. It means the given sequence is an arithmetic sequence with first term 8 and common difference -3.

The nth terms of an arithmetic sequence is:

[tex]f(n)=a+(n-1)d[/tex], for [tex]n\geq 1[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=8,d=-3[/tex], we get

[tex]f(n)=8+(n-1)(-3)[/tex]

[tex]f(n)=8-3(n-1)[/tex]

[tex]f(n)=-3(n-1)+8[/tex], for [tex]n\geq 1[/tex]

Therefore, the correct option is A.

Plot the following points: A (-2, 2) B (-4,-4) C(1,-4) D (3, 2) Connect the points. What is the name of the polygon? How long is line segment AD? What is the area of the shape?​

Answers

Answe545r:

45454

Step-by-step explanation:

Solve the trigonometric equation on the interval of [0,2π) below:
[tex] \large{cos(2 \theta + \frac{ \pi}{3} ) = \frac{ \sqrt{3} }{2} }[/tex]
Show your work, thanks! ​

Answers

Answer:

[tex] \displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12} [/tex]

Step-by-step explanation:

we would like to solve the following trigonometric equation on interval of [0,2π)

[tex] \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} [/tex]

remember that,

[tex] \displaystyle \cos(t) = \cos(2\pi - t) [/tex]

so the equation has two solutions

[tex] \begin{cases} \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} \\ \cos \left(2\pi - (2 \theta + \frac{\pi}{3} )\right ) = \frac{ \sqrt{3} }{2} \end{cases}[/tex]

take inverse trig both sides which yields:

[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ 2\pi - 2 \theta - \frac{\pi}{3} = \frac{\pi}{6} \end{cases}[/tex]

simplify the second equation:

[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} \end{cases}[/tex]

add period of 2kπ:

[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} + 2k\pi \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} + 2k\pi\end{cases} [/tex]

By making theta subject of the equation we acquire:

[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} - k\pi\end{cases} [/tex]

since [tex]k\in\mathbb{Z}[/tex] we get:

[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} + k\pi\end{cases} [/tex]

as we want to Solve the trigonometric equation on the interval of [0,2π) we get

[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + \pi \\ \theta = \frac{3\pi}{4} + \pi\end{cases} [/tex]

by simplifying we acquire:

[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{23\pi}{12} \\ \theta = \frac{7\pi}{4} \end{cases} [/tex]

and we are done!

hence,

[tex] \displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12} [/tex]

Need help!! Please/ Thank you!!

Answers

Answer:

d= 8.3 units

➴➵➶➴➵➶➴➵➶

[tex]Given:[/tex]

[tex]L=7[/tex]

[tex]B=4[/tex]

[tex]H=2[/tex]

[tex]d=\sqrt{L^2+B^2+H^2}[/tex]

[tex]d=\sqrt{7^2+4^2+2^2}[/tex]

[tex]d=\sqrt{49+16+4}[/tex]

[tex]d=\sqrt{69}[/tex]

[tex]d=8.3~units[/tex] ✔︎

•❅────✧❅✦❅✧────❅•

hope it helps...

have a great day!!!

Zendaya has 5/6 yard of wood to make racks for a wood game . Each rack needs to be 1/6 yard long. How many racks can Zend ayah make from her piece wood? Show how you found the answer.

Answers

Answer:

Number of rack made from total wood = 5 rack

Step-by-step explanation:

Given:

Length of wood Zendaya has = 5/6 yard

Length of each rack = 1/6 yard

Find:

Number of rack made from total wood

Computation:

Number of rack made from total wood = Length of wood Zendaya has / Length of each rack

Number of rack made from total wood = [5/6] / [1/6]

Number of rack made from total wood = [5/6][6/1]

Number of rack made from total wood = 5 rack

Other Questions
What is the first quartile and third quartile of this data set: 34, 34, 36, 39, 50, 41, 45, 47, 40? Which of the following is considered a taxpayers capital asset? A. Taxpayers house B. Real estate used in the trade or business C. Depreciable property used in the trade or business D. Supplies regularly used in the trade or business If the light energy passes through material in straight lines they are __?___ to light. assume a company uses the weighted average method in its processing costing august 1 balance 62000 and materials 310,000 consisted of 6000 units with 40500 in materials during august 48000 units were installed into production consisted of 8000 units that were 100% with respect to mateirals the materials cost included in the refining departement ending work in process inventory is closest to A gymnasium floor is being covered by square shock-absorbing tiles. The new tiles are 2 inches larger in length and width than the old tiles. The new flooring will require only 600 tiles. What is the length of a side of one of the new shock-absorbing tiles Mga isyu tungkol sa kawalan ng paggalang sa dignidad at sekswaliadad what is science and important of science Every closed circuit has an electric current, voltage, and ___________..Fill in the blank The Gagliarda began with a bold and lively alr, and as he played the opening bars, he heard behind him a creaking of the wicker chair. Thesound was a perfectly familiar one--as of some person placing a hand on elther arm of the chalr preparatory to lowering himself into it, followedby another as of the same person being leisurely seated. But for the tones of the violin, all was silent, and the creaking of the chair was strangelydistinct. The illusion was so complete that my brother stopped playing suddenly, and turned round expecting that some late friend of his hadslipped in unawares, being attracted by the sound of the violin, or that Mr. Gaskell himself had returned. With the cessation of the music anabsolute stillness fell upon all; the light of the single candle scarcely reached the darker corners of the room, but fell directly on the wicker chairand showed it to be perfectly empty. Half amused, half vexed with himself at having without reason interrupted his music, my brother returned tothe Gagliarda, but some impulse Induced him to light the candles in the sconces, which gave an Illumination more adequate to the occasion. TheGagliarda and the last movement, a Minuetto, were finished, and John closed the book, Intending, as it was now late, to seek his bed. As he shutthe pages a creaking of the wicker chalr again attracted his attention, and he heard distinctly sounds such as would be made by a person raisinghimself from a sitting posture. This time, being less surprised, he could more aptly considerthe probable causes of such a circumstance, andeasily arrived at the conclusion that there must be in the wicker chair osiers responsive to certain notes of the violin, as panes of glass in churchwindows are observed to vibrate in sympathy with certain tones of the organ. But while this argument approved itself to his reason, hisimagination was but half convinced, and he could not but be impressed with the fact that the second creaking of the chair had been coincidentwith his shutting the music book; and, unconsciously, pictured to himself some strange visitor walting until the termination of the music, and thenHow is the character developed in the passage?01. through his actions and thoughts2. through interaction with other characters3. through physical description4. through stream of consciousness 3. Identify the step of the writing process... DETERMINE YOUR PURPOSE FOR WRITING AND IDENTIFY YOUR AUDIENCE....A. Revising B. Drafting C. Proofreading/ editing D. Planning E. Publishing How would the author best respond to a counterclaim that Ms. Graves fellbecause she was clumsy?A. By sharing the groundskeeper's records that show there was nosalting after 2:00B. By showing how Ms. Graves has a history of accusing businessesof causing her injuryC. By pointing out that several others slipped on the ice and fell thatsame nightD. By explaining that she and her son were both carrying armloads ofhockey equipment help help i need help with my math 1/2x9step by step please A population of 350 animals has a growth rate of 5% each year. Write an exponential function to model this situation. Read the passage from "The Yellow Wallpaper.John laughs at me. . . .John is practical in the extreme. He has no patience with faith, an intense horror of superstition, and he scoffs openly at any talk of things not to be felt and seen and put down in figures.John is a physician, and . . . perhaps that is one reason I do not get well faster.You see, he does not believe I am sick! . . . .If a physician of high standing, and ones own husband, assures friends and relatives that there is really nothing the matter with one but temporary nervous depressiona slight hysterical tendencywhat is one to do?From what perspective is this story being told?first-person point of viewthird-person objectivethird-person omniscientthird-person limited omniscient answer both these................... easy algebra question below first correct answer gets brainliest Any change in average weather conditions on Earth that lasts for at least several decades is called they watch a funny movie (past continous) Why was the economic system of manorialism used in the early Middle Ages?