A carnival has a duck-pond booth. You choose a rubber duck at random. The mark on the bottom of the duck tells you whether you won a small, medium, or large prize, or no prize at all. There are 56 ducks floating in the pond. There are 5 ducks marked as large-prize winners, 10 ducks marked as medium-prize winners, and 20 ducks marked as small-prize winners. Find the theoretical probability of winning a small prize at the duck pond. Express your answer as a percent. If necessary, round your answer to the nearest thousandth.

35.714%

62.5%

280%

64.286%

Answers

Answer 1

The probability helps us to know the chances of an event occurring. The probability of winning a small prize in the carnival is 35.714%.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that there is a total of 56 ducks floating in the pond, out of which 20 ducks are marked as small-prize winners. Therefore, the probability of winning a small price can be written as:

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\\rm Probability=\dfrac{\text{Nnmber of small price ducks}}{\text{Total number of ducks}}\\\\\\Probability = \dfrac{20}{56} = 0.35714 = 35.714\%[/tex]

Hence, the probability of winning a small prize in the carnival is 35.714%.

Learn more about Probability:

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Related Questions

In HPE and GKJ, Which of the following would be enough to prove FPH ~ JKG?

Answers

Answer: Choice D

[tex]\frac{KJ}{JG} = \frac{PF}{FH}[/tex]

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

Explanation:

Refer to the drawing below. I started off with the original diagram given, then I split up the triangles HPF (red)  and GKJ (blue)

We're given that [tex]\angle GJK \cong \angle HFP[/tex]. If we had another congruent pair of angles, then we could use the AA (angle angle) similarity theorem to prove the triangles are similar. However, none of the answer choices mention another pair of congruent angles. Choices A and B are very close, but the [tex]\sim[/tex] should be [tex]\cong[/tex] instead. So we rule them out.

Focus on triangle GJK. Notice how the sides KJ and JG are surrounding the angle GJK. In other words, angle GJK is sandwiched between sides KJ and JG. Similarly, angle HFP is sandwiched between sides PF and FH in triangle HFP.

If we knew that the ratios KJ/JG and PF/FH were the same, then that would be enough info to use the SAS (side angle side) similarity theorem to prove the triangles similar. So that's why we go for [tex]\frac{KJ}{JG} = \frac{PF}{FH}[/tex]

There are other possible ways to write that equation.

BIG BRAIN BRAINLY ANSWERS I REALLY NEED YOUR HELP!!!!!!!!!!!!! What's 4 + 4 and also are Ritz crackers are good?

Answers

Answer:4

Step-by-step explanation:

and ritz crackers are pretty good

Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
A. h(2) = 16
B. h(13) = 18
C. h(8) = 21
D. h(-3) = -1

Answers

Answer:h(13) = 18

Step-by-step explanation:

One angle of a triangle is twice the second angle. The third angle is three times the second angle. Find each angle

Answers

Angle one is 20 degrees
Angle two is 40 degrees
Angle three is 120 degrees
And the angles add up to 180 degrees the amount needed to create a triangle. Your welcome :)

pls help

ps it says to show all work

Answers

Answer:

18

Step-by-step explanation:

x =27-9

=18

I hope it's helpful for you

If the perimeter of a square is
72 inches, what is its area?

a. 72 in. 2
b. 324 in.2
C. 18 in.2
d. 5,184 in. 2

Answers

Answer: B

Step-by-step explanation:

A=a2

P=4a

Solving forA

A=1

16P2=1

16·722=  324in²


Find mIJ
A. 100°
B. 110°
C. 150°
D. 2500

Answers

Answer:

c is the answer  try C

Step-by-step explanation:

Janny went to the library at 3:45pm and left at 7:45 pm. How long was she at the library?

Answers

given:

went at 3:45 PM

left at 7:45 PM

to find:

the duration she was at the library.

solution:

( to find the duration just find the difference of the time she left and she went.

= 4 hours

so, she was at the library for 4 hours.

Find the value of cos 0 if sin 0 = 4/5 and O is in the first quadrant.

Answers

we know that sin(θ) is 4/5, and we also know that θ is in the I Quadrant, where sine and cosine are both positive, so

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2-4^2}=a\implies \pm 3=a\implies \stackrel{I~Quadrant}{+3=a}~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}[/tex]

Help pls help I need yelp

Answers

Answer:

A.

Step-by-step explanation:

Hope this helps.

pls give me brainiliest

According to projections through the year 2030, the population y of the given state in year x is approximated by
State A: - 5x+y=11,400
State B: -143x +y = 9,000
where x = 0 corresponds to the year 2000 and y is in thousands. In what year do the two states have the same population?

Answers

Answer:

In the year 2026 population of both the states will be the same.

Step-by-step explanation:

It has been given in the question that the population y of State A in year x will be represented by the equation

-3x + y = 11,400

⇒ y = 11,400 + 3x --------(1)

Similarly, an equation that represents the population for State B is

-138x + y = 8,000

⇒ y = 138x + 8,000 -------(2)

If population y for both the states are equal then

3x + 11,400 = 138x + 8,000

11400 - 8000 = 138x - 3x

135x = 3400

x = 25.19 [After 25 years ]

Since  x = 0 represents the population of the states in the year 2000

therefore, population y will be the same in both the states in the year (2000 + 26)

= 2026

A map of the United States is displayed in the classroom with a scale of

0.25

how long the
drawing would be of a road that is 10 miles long.

A. 0.025 cm
B. 0.25 cm
C. 2.5 cm
D. 25 cm

Answers

The answer that I got was C.2.5

Two brothers, Farley and Dave, have different amounts of money in their wallets at the beginning of a month. The graph shown compares the amounts of money, in dollars, they have in their wallets over a given amount of time in days.

how many days does it take for Farley and Dave to have the same amount of money​

Answers

5. The line intersects at day 5

only two day are left as u can see the graph from 40 percent to to percent

Multiply: (x−5)(x 6) simplify and write your answer in standard form. hint standard form: ax2 bx c

Answers

Answer:

x^2 + x + 30

Step-by-step explanation:

I am assuming the second one is (x + 6).

Answer: x^2 + x - 30.

Step-by-step explanation: i took the test and put the answer the person above me gave and it was incorrect.

PLEASEE HELPP
Explanation and correct=BRAINLIEST!!!!

Answers

Answer: B. The ball is less likely to be a racquetball than a golf ball.

Step-by-step explanation:

Imagine a bin. You are storing different sports balls in the bin. You put 20 baseballs, 24 golf balls, 9 tennis balls, and 6 racquetballs in the bin. Can you name which ball is most likely to be chosen if you grabbed one out at random? The answer is the golf ball.

This is because there are more golf balls than any other type of ball. For example, there are 24 golf balls, yet there are only 20 baseballs. This means that you are more likely to pick a golf ball.

Remember that there are 6 racquetballs while there are 24 golf balls. There are 4 times more golf balls than racquetballs in the bin. This means that you are 4 times more likely to pick a golf ball than a racquetball when you take a ball out of the bin at random.

Since there are many more golf balls than racquetballs, you are more likely to grab a golf ball than a racquetball. This means that the ball is less likely to be a racquetball than a golf ball.

(If you are confused, imagine freshly baked cookies. You cooked 12 cookies.

8 cookies are chocolate chip

3 cookies are oatmeal raisin

1 cookie is peanut butter.

If you grab a cookie at random, with your eyes closed, you are most likely to pick the chocolate chip cookies. This is because there are more chocolate chip cookies than oatmeal raisin cookies or peanut butter cookies)

HELLPPPPPPPPPPPP!!!!!!!!!!!!! I NEED HELP I GOT 1 MIN OR LESS

Find the surface area of a square pyramid with base edges of 8 feet. The height of each lateral face is 15 feet. Explain or show how you got your answer.

Answers

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Measure of its each edge = [tex]\sf\red{8feet.}[/tex]

[tex]\rightarrow[/tex] Height of each lateral surface (or slant height) = [tex]\sf\red{15feet.}[/tex]

[tex]\sf\large\underline{\star To\: Find:-}[/tex]

Surface area of the given square pyramid.

[tex]\sf\large\underline{\star Formula \:Used:-}[/tex]

[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf\blue{a^2+2al}[/tex]

Where,

[tex]\sf\pink{a^2}[/tex] [tex]\sf{=\: Area \: of\: base.}[/tex]

[tex]\sf\pink{a}[/tex][tex]\sf{=\: Side \:of \:the\: base.}[/tex]

[tex]\sf\pink{l}[/tex][tex]\sf{=\: Slant \:height}[/tex]

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf{a^2+2al}[/tex](putting the value of [tex]\sf{a^2}[/tex], a and l)

[tex]\rightarrow[/tex] [tex]\sf{=\: 8^2+2(8×15)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 304feet^2}[/tex]

Therefore, surface area of the given square pyramid [tex]\sf\purple{=\: 304feet^2.}[/tex]

___________________________________

Hope it helps you:)

Six increased by product of x and four is 22. What is x?

Answers

Answer: 4

Step-by-step explanation:

Terms: Increased means adding, a product means multiplication.

1. Convert it into an equation: 6+4x=22

2. Then subtract 6 from the left side and pass it to the right to get 22-6= 16. Now, you have 4x=16.

3. Then you want to leave the x alone, so you divide both sides of the equation by 4.

4. Therefore, your answer is 4!

Hope this helps :)

solve cos+1/under root 3 sin A = 1​

Answers

Answer:

0; 60; 360°.

Step-by-step explanation:

1) to solve the given equation without limitation;

2) to apply the given limitation to the solution of the given equation.

all the details are provided in the attachment. The answer is marked with red colour.

Note, the provided way is not the shortest one.


Jeremy is making a blueprint of a building. He is using
a scale of 1 in.:3 ft. One wall of a room measures 33
feet. How long will he draw it in his blueprint?

Answers

First change the scale to inches on both sides
1:36
?:33

It would be about 1.09 inches.
Hope this helps :)

I need help on 20. Please e provide step-by-step explanation.

Answers

Answer:

The son is 13 and the father is 39,

Step-by-step explanation:

x= dad's age

y= 1/3x= boy's age

x+y=52

Substitute y=1/3x

x+1/3x=52

1 1/3x= 52

4/3x= 52

Multiply by reciprocal on both sides

(3/4)(4/3x)= (52)3/4)

x= (52*3)/4

x= 156/4

x=39 dad's age

Substitute x answer in to find boy's

y= 1/3x= 1/3(39)= (1*39)/3= 39/3= 13 boy's age

Check:

13+39= 52

Solve for X question 17

Answers

Answer:

The answer is x=2, -2

Step-by-step explanation:

The explanation is in the pic.

Answer:

[tex]X^2=2[/tex]

The tiny two means square, meaning multiply the number behind it by itself.

First, start with exponents, in this case, squares.

[tex]2*2=4[/tex]

Second, yet last, multiply eight by four.

[tex]8*4=32[/tex]

With that information, your answer is [tex]2[/tex]

Worth 60 points

Consider the following system of equations:
y = -x + 2
y = 3x + 1
Which description best describes the solution to the system of equations?
Line y = -x + 2 intersects line y = 3x + 1
Lines y = -x + 2 and y = 3x + 1 intersect the x-axis.
Lines y = -x + 2 and y = 3x + 1 intersect the Y-axis
Line y = -x + 2 intersects the origin

Answers

Answer:

Line y = -x + 2 intersects line y = 3x + 1

Step-by-step explanation:

The solution to a system of equations is the point at which the two lines intersect.  To find this point, first equate the equations and solve for x:

[tex]\begin{aligned}y & = y\\-x + 2 & = 3x + 1\\-x+2+x & = 3x+1+x\\2 & = 4x + 1\\2-1 & =4x+1-1\\1 &=4x\\x & =\dfrac14\end{aligned}[/tex]

Substitute the found value of x into one of the equations, and solve for y:

[tex]y=3\left(\dfrac14\right)+1=\dfrac74[/tex]

Therefore, the solution to the system of equations (the point at which the two lines intersect) is:

[tex]\left(\dfrac14,\dfrac74\right)[/tex]

So the description that best describes the solution to the system of equations is:

Line y = -x + 2 intersects line y = 3x + 1

The table shows a schedule of inga’s payment plan for a car. inga’s payment plan for the first 3 years year balance monthly payment end of year balance 1 $19,691.28 $273.49 $16,409.40 2 $16,409.40 $273.49 $13,127.52 3 $13,127.52 $273.49 $9,845.64 how many more years will it take inga to pay off the loan? 2 years. 3 years 4 years 6 years

Answers

Inga needs 3 more years to pay off the whole amount.

What is the monthly payment?

A portion of the monthly payment is called the principal, which is the original amount borrowed.

First year balance = $19,691.28

Monthly payment = $273.49

Annual payment = 273.49×12 = $3281.88

Remaining balance after 1 year = 19,691.28 - 3281.88 = $16,409,4

After 3 years balance = $9845.64

Remaining balance after payment (4 years) = 9845.64-3281.88 = $6563.76

Remaining balance after payment (5 years)  = 6563.76-3281.99  = 3281.88

Remaining balance after payment (6 years) =3281.88-3281.88  = 0

Hence, Inga needs 3 more years to pay off the whole amount.

To know more about monthly payments click the link given below.

https://brainly.com/question/26353929

Answer:

3 years

Step-by-step explanation:

I did the test.

E-DG-E

"The sum of 4 and a number,
divided by 2 is less than -6."
Transferring word problems to inequality

Answers

Answer:

The sum of 4 and a number

4+x

Divided by 2 is less than -6

4+x/2<-6

anvipatel77☆

•Expert•

Brainly Community Contributor

An art museum had two hundred ninety-two pictures to split equally into seven different
exhibits. How many more pictures would they need to make sure each exhibit had the
same amount?

Answers

Answer:

2

Step-by-step explanation:294/7=42

Delta Math:Angle Terminology with Equations

Answers

Answer:

∠A = 94°

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180°.

Therefore, if ∠A and ∠B are supplementary:

⇒ ∠A + ∠B = 180

⇒ (2x + 10) + (2x + 2) = 180

⇒ 4x + 12 = 180

⇒ 4x = 168

⇒ x = 42

To find ∠A, substitute found value of x into the expression for ∠A:

⇒ ∠A = 2(42) + 10 = 94°

An arts and crafts store has a crate that contains glass, wood, and brass beads

Answers

Answer:

You're going to need more to this question

Step-by-step explanation:

what is the rest of it

help me please need help missing lengths​

Answers

Answer:

Step-by-step explanation:

Ratio of side of the 30-60-90 triangle is x : x√3 : 2x

Side opposite to 30° is the shortest leg and it is a

Side opposite to 60° is the longest leg and it is a√3

side opposite to 90° is hypotenuse and it is 2a and it the longest side.

7) a = 8 (Which is opposite to 30°)

 w = 2a = 2*8

w = 16

v = √3a = √3 *8

v = 8√3

8) a√3 = 5√3   (Which opposite to 60°)

   a = 5√3 ÷√3

y = a ⇒y= 5

x = 2a

  = 2*5

x = 10

9) hypotenuse = 10

2a = 10

a = 10 ÷ 2

a = 5

x = a√3

x = 5√3

y = a

y = 5

Earth is orbiting the sun at
67,000 miles per hour. The
fastest jet ever clocked 4,520
miles per hour.
How many
times faster is
Earth than the
fastest jet?

Answers

Answer: 62480

Step-by-step explanation

you write down 67000 than subtract 4520 ,scrach the seven and make it a six and ad that 1 to the first zero scranche that out and make it nine add it to the next zero now ,0-0=0 , 10-2=8 ,9-5=4,4-6=2, move the 6 down you now have 62480 mph

Two airplanes leave the airport. Plane A departs at a 41° angle from the runway, and plane B departs at a 43° angle from the runway. Which plane was farther away from the airport when it was 5 miles from the ground? Round the solutions to the nearest hundredth.
Question 9 options:
Plane A because it was 20.71 miles away
Plane A because it was 27.43 miles away
Plane B because it was 16.79 miles away
Plane B because it was 26.39 miles away

Answers

Answer:

Plane A because it was 27.43 miles away

Step-by-step explanation:

~Kandy~

hope this helped!

brainliest please!

lol, just answered my own question.

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