PLEASE HELP! A juice company gives prizes to anyone finding specially marked caps on its juice bottles. You and your friends buy 20 bottles of juice. You find that 4 of the bottles have winning caps. What are the odds in favor of winning a prize in the contest?

Answers

Answer 1

The odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

What is odds against?

In probability, the term odds against is the ratio of probability of non occurring a favorable event to the probability of occurring a favorable event. It can be given as,

[tex]\text{odd against}=\dfrac{P(\overline A)}{P(A)}[/tex]

Here, [tex]P(\overline A)[/tex] is the probability of not occurring a favorable event, and P(A) is the probability of occurring a favorable event.

A juice company gives the prizes to anyone finding specially marked caps on its juice bottles. The 4 bottles have winning cap in 20 bottles. Thus, the probability of winning is,

[tex]P(A)=\dfrac{4}{20}\\P(A)=\dfrac{1}{5}[/tex]

The probability of not winning is,

[tex]P(\overline A)=1-\dfrac{1}{5}\\P=\dfrac{4}{5}[/tex]

Thus, the odd against the winning is,

[tex]\text{odd against}=\dfrac{\dfrac{4}{5}}{\dfrac{1}{4}}\\\text{odd against}=\dfrac{16}{5}\\\text{odd against}=3.2[/tex]

Thus, the odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

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Related Questions

A local children's author donated 1,055 books to
Homestead Elementary School. The school librarian
will distribute an equal number of books to each of
the 33 classes, and keep any that are left over in
the library. How many books will each class get?

Answers

Answer:

31 books

Step-by-step explanation:

1,055 ÷ 33 = 31.96

31 books

Please help!!!!!
A coin is tossed on the board shown. Which is the probability that it will land in region II?

A. 75%
B. 45%
C. 55%

Answers

Answer: B

Step-by-step explanation:

The area of the entire rectangle is (10+30)(15+10) = 1000, and the area of region II is (30)(15)=450. Hence, the desired probability is 450/1000 = 45%.

What’s the answer????

Answers

it questions is my level very hard questions

Step-by-step explanation:

graph x axis

Question 1 (2 points)
You can prove two triangles are similar...
if they have three proportional sides
if they have two congruent angles
if they have a congruent included angle between two proportional sides
True or False

Answers

Answer:

true

Step-by-step explanation:

the answer is true hope it helps

The principal would like to assemble a committee of 7 students from the 13-member
tudent council. How many different committees can be chosen?

Answers

1

If the committee requires 7 students to be on it, and 7 can only go into 13 once (13 is a prime number), you can only have one committee

A cube has an edge length of 9 meters. What is its volume, in cubic meters?

Answers

Answer:  729 cubic meters

Work Shown:

volume = side*side*side

volume = 9*9*9

volume = 729

A slight shortcut would be to say 9^3 = 729

(x + 14)
D
А
O
A. 38
B. 36
O C. 45
O D. 40
O E. 26

Answers

Center of rhombus bisects 90°.

Sum of angles in triangle = 180°
x + x + 14 + 90 = 180
2x + 104 = 180
2 (x + 52) = 180
x = (180 ÷ 2) - 52
x = 90 - 52
x = 38°

Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo concentrate for every 9 cups of water. Devin will use 36 cups of water.

Answers

8 cups / 36/9 , *4 !!

Answer:

Devin needs 8 cups of shampoo.

Step-by-step explanation:

The ratio for shampoo:water is 2:9, so if Devin uses 36 cups of water, he needs 36/9 x 2 = 8 cups of shampoo




Which of the following conditions would guarantee that triangles are identical?
Two triangles with the same angle measurements (Ex:both triangles have angles 35,65, and 90 degrees)
Two triangles have one angle the same and two sides the same measurement (Ex: both triangles have a 40 degree angle and two sides that are 7 and 9 cm
long)
Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)
Two triangles have two angles the same and one side length the same measurement (Ex: both triangles have angles 62 and 29 degrees and a side length of
10 cm)
2

Answers

Answer: Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)

Step-by-step explanation:

1) This would guarantee similarity, but not necessarily that they are identical.

2) The angle has to be included between the two sides, which is not specifed.

3) This would work (SSS congruence)

4) It is not specified if the side is opposite the corresponding angles.

Please help me on this!

Answers

For when x is 4 g will be 80 and f will be 108 for when x is 5, g will be 160 and x will be 110 so option 1 as 160-110 is 50

Hope it helped

A chord of a circle is 18 cm long to. It is 6. 3cm from the center of the circle. Calculate the radius of the circle to the nearest whole number

Answers

Answer: 11

Step-by-step explanation:

By the Pythagorean theorem, x is about 11 cm.

Cd Express offers 4 CDs for $60. Music place offers 5 CDs for $75. Which store offers the better buy?

Answers

Answer:

Music place offers better buy with $12.50

Step-by-step explanation:

Explanation:

To solve, we need to find the cost for 1 CD at both places. To do this, divide the total amount by how many CDs are bought. At CD Express, $60/4=$15, while at Music Place, $75/6=$12.50. Since Music Place is cheaper, Music Place offers a better buy.

The gross weekly pay is $424. His earnings to date for the year total $11.700. What amount is deducted from her pay this week for social security, which is taxed at 6.4 percent?

A. $748.80

B. $0

C. $424

D. $25.44

E. $27.14

Answers

Answer:424

Step-by-step explanation:

i don't know how to explain it but this seems the most correct one, her weekly gross pay is 424 and taxes end up getting taken out of the paycheck not earnings.

(PLEAse someone help me!) (No links!)

Answers

Answer:

<4 = 67 degrees

Step-by-step explanation:

angle 1 + angle 4 makes 180 degrees so since angle 1 is 113 degrres

180-113=67

Hope it helps:)

plsss help ill give brainiest

Answers

To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.

Area of Rectangle

The area of a rectangle is given as the product between the length and it's width.

Data;

Length = 9inArea = 45in^2width = ?length 2 = 4inwidth 2 = 3in

[tex]area = length * width[/tex]

In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as

[tex]A = length * width\\width = \frac{area}{length} \\width = \frac{45}{9} \\width = 5in[/tex]

We can see that the width are not equal so is their length.

But if we would truly compare them, the accurate way to do that is by their area

The area of the second gauze is given by

[tex]a = 3 * 4 = 12in^2[/tex]

From the above calculations, we can see that the sheets are not similar as they have different areas.

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Solve for the variable

12 = r/6

Answers

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

[tex]\bold{12 = \frac{r}{6} } \\ [/tex]

let's take 6 to the other side ~

[tex] \\ \bold{\implies \: r = 12 \times 6} \\ \\ \implies \: \bold\pink{r = 72}[/tex]

hope helpful ~

Answer:

r=72

Step-by-step explanation:

multiply both sides by 6 —> 12x6=r/6x6

12x6=r

73=r

ur welcome :)

brainliest please?

I know the answer just need someone explain to me how to solve it

Answers

The logarithm of a quotient can be written as a difference of logarithms:

[tex]\log_3\left(\dfrac uv\right) = \log_3(u) - \log_3(v)[/tex]

You can also think of this as a combination of the product-to-sum and reciprocal/power properties of logarithms:

[tex]\log_3\left(\dfrac uv\right) = \log_3\left(u \times \dfrac1v\right) = \log_3(u) + \log_3\left(\dfrac1v\right) = \log_3(u) - \log_3(v)[/tex]

To summarize,

[tex]\log_b(mn) = \log_b(m)+\log_b(n)[/tex]

[tex]\log_b\left(\dfrac mn\right) = \log_b(m) - \log_b(n)[/tex]

[tex]\log_b\left(m^n\right) = n \log_b(m)[/tex]

What is this equation called y=mx+b ?
(got another one removed)

Answers

Answer: it is called the slope intercept

Answer: Slope-intercept form

Step-by-step explanation:

      The equation format of y = mx + b is slope-intercept.

-> m is the slope, or the steepness of the line

-> b is the y-intercept, or where the line intersects the y-axis.

4. Five hamburgers and two French fries together contain 2160 calories, while four hamburgers and five French fries contain 2680 calories. What’s the calorie count in one hamburger and one pack of French fries?

Answers

Answer:

Hamburger is 320 calories. Pack of french fries is 280 calories

Step-by-step explanation:

Represent Hamburgers as H and pack of French Fries as P then set up the equations

5H+2P=2160

4H+5P=2680

Multiply the first equation by 5

25H+10P=10,800

Multiply the second by 2

8H+10P=5360

Subtract the first equation by the second

25H+10P=10,800

-

8H+10P=5360

=

17H=5440

H=320

One hamburger is 320 calories.

Plug in 320 for H

5(320)+2P=2160

1600+2P=2160

2F=560

F=280

One pack of french fry is 280 calories

Nine less than the product of 5 and a number is 6

Answers

[tex]let\ x\ be\ the\ number[/tex]

[tex]5x-9=6\\\\5x=15\\\\x=3[/tex]

I'm assuming you want the value of x

Find the value of x.

Answers

Answer:

sum of an exterior angle is 360

2x+56+85+57+4x=360

6x+198=360

6x=360-198

6x=162

x=162/6

x=27

Two people ran in a city election. The winner received 1 more than 3 times as many votes as the runner-up. Let w represent the number of votes the winner received. Let x represent the number of votes the runner-up received. The number of votes the runner-up received is known. Which equation represents the number of votes the winner received?​

Answers

Answer:

w = 3x + 1

Step-by-step explanation:

Answer:

w=3x+1

Step-by-step explanation:

The winner (w) received 1 more (+1) than 3 times (*3) the number of votes the runner-up received. Since the runner-up is represented by x the number of votes the winner received can be represented by the equation w=3x+1.

Toby just graduated from four years of college. at the beginning of each year, he took out a stafford loan with a principal of $6,125. each loan had a duration of ten years and an interest rate of 5.3%, compounded monthly. all of the loans were subsidized. toby plans to pay off each loan in monthly installments, starting from his graduation. what is the total lifetime cost for toby to pay off his 4 loans? round each loan's calculation to the nearest cent. a. $7,904.04 b. $31,616.16 c. $10,393.82 d. $36,490.25 please select the best answer from the choices provided a b c d

Answers

If he starts paying after four years, the worth of the loans by then is b. $31,616.16

What is a Loan?

This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.

Hence, we can see that:

The effective monthly interest rate is:

i = 0.053/12 = 0.0044

The effective annual interest rate is:

i = (1 + 0.0044)^12 -1 = 0.0543

The present worth of all the loans is:

P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3

P = $22,671.40

If he pays them prompty, then the total lifetime cost would be

P = 22671.40 (1 + 0.0543)^4 = $31,616.16

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Evaluate the expression.

Answers

-6 is the answer for this expression

please help!!!!!!!!! This is Aleks

Answers

Answer:

For part A the price per pound is the same and for 50 $ it is 10 pounds.

Step-by-step explanation:

If you divide the price by the amount of tuna they will all have an answer of 5. so then you do 50 divided by 5 and get 10.

Question A: It is not always the same. Ten pounds of tuna sells for 50

Question B: Each point does not always give the same amount of tickets.

I don’t know the answer to the last blank though.

3. Determine the 5-day SMA for the 10 consecutive-day closing prices for
Sherwin-Williams Co listed below.
$242.50 $273.98 $278.16 $293.94 $285.04
$290.80 S296.02 $291.01 $293.41 $286.85

Answers

The 5-day SMA for the 10 consecutive-day closing prices are:

Day 2-6=$284.384Day 2-6=$284.384Day 3-7=$288.792Day 4-8=$291.362Day 5-9=$291.256Day 6-10=$291.618

5-day SMA for the 10 consecutive-day

Day 1-5:

Day 1-5 =$242.50+$273.98+$278.16 +$293.94+ $285.04÷5

Day 1-5=$1,373.62÷5

Day 1-5=$274.724

Day 2-6:

Day 2-6=$273.98+ $278.16 +$293.94 +$285.04+$290.80÷5

Day 2-6=$1,421.92÷5

Day 2-6=$284.384

Day 3-7:

Day 3-7=$278.16 +$293.94+ $285.04+$290.80 +S296.02÷5

Day 3-7=$1,443.96÷5

Day 3-7=$288.792

Day 4-8:

Day 4-8= $293.94 +$285.04+$290.80+$296.02+ $291.01÷5

Day 4-8=$1,456.81÷5

Day 4-8=$291.362

Day 5-9:

Day 5-9=$285.04+$290.80+$296.02 +$291.01 +$293.41÷5

Day 5-9=$1,456.28÷5

Day 5-9=$291.256

Day 6-10:

Day 6-10=$290.80+$296.02+ $291.01 +$293.41+ $286.85÷5

Day 6-10=$1,458.09÷5

Day 6-10=$291.618

Therefore the 5-day SMA for the 10 consecutive-day closing prices are:

$284.384; $284.384; $288.792; $291.362; $291.256; $291.618.

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What is the solution to this equation?
X- 17 = -5

Answers

X=12

-5+17=12 - this is the quickest way to solve an easy equation like this

4x-6+x+3 what is the value of x ?

Answers

Answer: [tex]5x-3[/tex]

Step-by-step explanation:

First, [tex]4x-6+x+3~ < --- Simplify ~the ~expression[/tex]

[tex]4x+x-6+3[/tex]

Add the numbers [tex]-6+3=-3[/tex]:

[tex]4x+x-3[/tex]

Add similar elements [tex]4x+x=5x[/tex]:

[tex]=5x+3[/tex]

Answer:

[tex]\boxed{\tt 5x−3}[/tex]

Step-by-step explanation:

[tex]\tt 4x−6+x+3 [/tex]

Combine 4x and x = 5x:-

[tex]\tt 5x−6+3[/tex]

Now, Add -6 and 3 = -3:-

[tex]\tt 5x−3[/tex]

- :)

Imagine a card game in which you have a 1 out of 10 chance of winning. If you win, you get $10. If you lose, you pay $2. What is the expected value of this game

Answers

Answer:

Pay [tex]\$0.8[/tex].

Step-by-step explanation:

Let [tex]X[/tex] denote the observed value of this game. Let positive values denote money received and negative values denote money paid.

There are two possible values for [tex]X[/tex]:

[tex]X = 10[/tex] (receive [tex]\$10[/tex],) and[tex]X = -2[/tex] (pay [tex]\$ 2[/tex].)

The probability of each value is:

[tex]P(X = 10) = (1 / 10) = 0.1[/tex] as given in the question.[tex]P(X = -2) = 1 - (1/10) = (9/10) = 0.9[/tex].

The expected value of this game, [tex]\mathbb{E}(X)[/tex], is an average of the outcomes [tex]x \in \lbrace 10,\, -2\rbrace[/tex] weighted by the probability [tex]P(X = x)[/tex] of each outcome:

[tex]\begin{aligned}\mathbb{E}(X) &= \sum\limits_{x} x\, P(X = x) \\ &= 10 \times P(X = 10) + (-2) \times P(X = -2) \\ &= 10 \times \frac{1}{10} + (-2) \times \frac{9}{10} \\ &= 1 - 1.8 \\ &= -0.8\end{aligned}[/tex].

The expected value of [tex]X[/tex] is [tex](-0.8)[/tex], meaning that on average, playing this game would require paying [tex]\$0.8[/tex].

Order negative rational numbers from least (1) to greatest (5)
-3.75 -0.55 -3% -1/2 -1/5

Answers

Answer: From least to greatest, it goes: -3.75, -0.55, -1/2 -3%, -1/5

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