The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. A juice box is selected at random. What is the probability of the complement of choosing an orange juice box? (first answer will get brainliest)
1/18
4/9
5/9
17/18

Answers

Answer 1

Answer:

[tex] p(O)=\frac{8}{18}=\frac{4}{9}[/tex]

And since we want the complement of choosing an orange juice box the answer would be:

[tex] P(O') =1 - P(O) = 1-\frac{4}{9}= \frac{5}{9}[/tex]

And the nest answer for this case is:

5/9

Step-by-step explanation:

For this case we know that we have 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes, so then the size of the sample space is:

[tex] 8+4+6= 18[/tex]

Then we can find the probability of selecting an orange juice box with the definition of Laplace given by:

[tex] p =\frac{possible}{total}[/tex]

And for this case the possible cases are 4 and the total 18 so then the probability is given by:

[tex] p(O)=\frac{8}{18}=\frac{4}{9}[/tex]

And since we want the complement of choosing an orange juice box the answer would be:

[tex] P(O') =1 - P(O) = 1-\frac{4}{9}= \frac{5}{9}[/tex]

And the nest answer for this case is:

5/9


Related Questions

What’s the value of x?

Answers

Answer:

x=8

Step-by-step explanation:

4x+7x+2=90

11x=88

x=8

a man owned 75 shares of stock worth $50 each the corporation declared a dividend of 8% payable in stock how many shares did he then own

Answers

Answer:

81 shares

Step-by-step explanation:

Data provided in the question

Number of shares owned = 75 shares of stock

Per share value = $50

Dividend declared = 8%

Based on the above information. the number of shares owned is

[tex]= Number\ of \ shares\ owned \times dividend\ declared\ percentage + Number\ of \ shares\ owned[/tex][tex]= 75\shares \times 8\% + 75\shares[/tex]

= 81 shares

We simply added the number of shares owned and the number of shares owned after considered the dividend declared percentage so that the correct shares owned could arrive

The sum of four consecutive integers is -10. What are the integer

Answers

Answer:

see below

Step-by-step explanation:

Let x be the first integer

x+1 is the next integer

x+2 = next integer

x+3 = last integer

The sum of the 4 integers is -10

x+ x+1 + x+2  + x+3 = -10

Combine like terms

4x+6 = -10

Subtract 6 from each side

4x+6-6 = -10-6

4x = -16

Divide each side by 4

4x/4 = -16/4

x = -4

x+1 = -3

x+2 = -2

x+1  =-1

The integers are -4, -3, -2 ,-1

Ty’s experimental probability of winning a certain game is 1/3. Jana’s expiremental probability of winning the same game is 3/4. If Ty and Jana each played the game 120 times, how many more games would Jana expect to win over Ty?

Answers

Answer:

Jana is expected to win 40 more games over Ty.

Step-by-step explanation:

If Ty plays the game 120 times, he is expected to win in 1/3 part of 120 games, which is ( 1/3 * 120 =) 40 games.

If Jana plays the game 120 times, she is expected to win in 2/3 part of 120 games, which is ( 2/3 * 120 =) 80 games.

If Jana is expected to win 80 times an Ty is expected to 40 times, then Jana is expected to win ( 80 - 40 =) 40 more games over Ty.

What are the solutions to this quadratic equation? x^2+6x-5=0

Answers

Answer:

[tex]x = -3+\sqrt{14} \\x=-3-\sqrt{14}[/tex]

Step-by-step explanation:

x + 6x - 5 = 0

Since you can't factor the equation, use the quadratic formula.  

Your equation is already in the form of ax + bx + c.

[tex]x=\frac{-b\frac{+}{} \sqrt{b^{2} -4ac} }{2a}[/tex]

Based on your equation  a = 1  b = 6  c = -5.  Plug in the numbers and solve for x.

[tex]x = \frac{-6\frac{+}{} \sqrt{6^{2} -4(1)(-5)} }{2(1)} \\x = \frac{-6\frac{+}{} \sqrt{36+20 } }{2} \\x=\frac{-6\frac{+}{}\sqrt{56} }{2} \\x=\frac{-6\frac{+}{}2\sqrt{14} }{2} \\\\x = -3+\sqrt{14} \\x=-3-\sqrt{14}[/tex]

Least multiple of 5 and 25

Answers

Answer:

  25

Step-by-step explanation:

25 is a multiple of 5, so is the least multiple of both 5 and 25.

Answer:

Hey there!

That would be 25.

Hope this helps :)

In how many different ways can a person select one book from 3 novels, one book from 5 biographies and one book from 7 self-help books?

a). 15

b). 105

c). 3

d). 22

Answers

Answer:

[tex] Ways = 3*5*7= 105[/tex]

And that's equivalent to:

[tex] Ways= (3C1) (5C1) (7C1) =3*5*7=105[/tex]

Where C represent the term combinatory defined as:

[tex] nCx = \frac{n!}{x! (n-x)!}[/tex]

And then the number of ways to select the three books are 105, and the best option would be:

b). 105

Step-by-step explanation:

For this case we can use the multplication principle of counting or sometimes called the product rule.

We have a total of 3 novels, 5 biographies and 7 self-help books. And we can find the number of ways that a person can select the three books with theis product:

[tex] Ways = 3*5*7= 105[/tex]

And that's equivalent to:

[tex] Ways= (3C1) (5C1) (7C1) =3*5*7=105[/tex]

Where C represent the term combinatory defined as:

[tex] nCx = \frac{n!}{x! (n-x)!}[/tex]

And then the number of ways to select the three books are 105, and the best option would be:

b). 105

We want to see in how many different ways a person can select one book from 3 novels, one book from 5 biographies and one book from 7 self-help books, the correct option is b: 105.

To get the numbe of different ways, the first thing we need to do is find the selections.

Here we have 3 selections:

Novel selection.Biography selectionSelf-help selection.

Now we need to find the number of options for each of these selections, and just multiply the numbers of options.

we have:

Novel selection: 3 optionsBiography selection: 5 optionsSelf-help selection: 7 options

Number of different ways of selecting = 3*5*7 = 105

So the correct option is b.

If you want to learn more, you can read:

https://brainly.com/question/3349431

Find an equation of the circle that has center (1, -1) and passes through (5, -6).

Answers

Answer:

Step-by-step explanation:

(x-1)²+(y+1)²=41

which list orders the anglesof trangle abc smallest to largest...ab=130 and ac=120 and bc=180

Answers

Answer:

I think goes 130 and then  180 then 120 it's need to be to have an angle i think.  

Step-by-step explanation:

Because it's a-c so abc is 120  

a-b is 130 and b-c it's gona be 180  

I might be wrong but i have 2 answer 120 130 180 or

130 180 120.

Brian had 42 class fair tickets to sell. He sold 5/6 of the tickets. How many tickets did Brian sell?

Answers

Answer:

35

Step-by-step explanation:

Write an equation that best represents the line

Answers

Make a equation by looking at the y axis and the x axis and make a problem up

Use the drop-down menus to answer the questions.


What is the probability that a randomly chosen tenth-grader is male?

Answers

Answer:

Step-by-step explanation:

The information given is not enough to determine the probability.

Given the number of male tenth-grader, and the number of all tenth-grader, the probability will then be: (number of male tentg-grader) divided by (the total number of students).

Answer:

What is the probability that a randomly chosen tenth-grader is male?  

✔ 80/154

What is the probability that a randomly chosen tenth-grader is male given that the tenth-grader prefers geometry?  

✔ 47/87

Are the events “male” and “geometry” independent?  

✔ no, P(male) does not equal P(male | geometry)

Step-by-step explanation: These are the answers for edge 2020

Which is not an example of a triangular prism?
Camping tents
Roofs
a shoebox
a skateboard ramp

Answers

Answer:

a shoe box

Step-by-step explanation:

i'm not 100% sure but isn't a shoe box rectangular?

Write the equation in standard form and then find the center (h, k) and
x^2+8x+ y2 + 4y - 5= 0

Answers

Answer:

Center is at (-4, -2) and the radius = 5.

Step-by-step explanation:

Convert to Standard form:

x^2 + 8x + y2 + 4y - 5= 0  

Completing the square:

(x + 4)^2 - 16 + (y + 2)^2 - 4 = 5

(x + 4)^2 + (y + 2)^2  = 5 + 16 + 4

(x + 4)^2 + (y + 2)^2  = 25

(x - h)^2 + (y - k)^2 = r^2     Comparing:-

The center is at (-4, -2) and the radius = 5.

Mr. Suárez wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so that he will know how much paint to buy. The shed is in the shape of a rectangular prism with the dimensions shown below. Including the doors, what is the lateral surface area of the storage shed in square feet? 784 ft2 266 ft2 532 ft2 336 ft2

Answers

Answer:

Lateral surface area of the storage shed = 336 ft²

Step-by-step explanation:

The picture is the complete question.

The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.

lateral area of a rectangular prism = 2h (l + w)

where

l = length

h = height

w = width

h = 8 ft

l = 14 ft

w = 7 ft

lateral area of a rectangular prism = 2h (l + w)

lateral area of a rectangular prism = 2 × 8 × (14 + 7)

lateral area of a rectangular prism = 16 (21)

lateral area of a rectangular prism = 336 ft²

Lateral surface area of the storage shed = 336 ft²

An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability that the spinner does not land on yellow. Express your answer as a fraction in simplest form.

Red = 12
Blue = 10
Yellow = 6

A. 11/14
B. 3/7
C. 4/7
D. 3/14

Answers

Answer:

A. 11/14

Step-by-step explanation:

i hope this helps :)

The Probability of an Event P(E) is that the spinner does not land on yellow is 11/7.

An experiment consists of spinning a spinner.

Red = 12

Blue = 10

Yellow = 6

We have to determine,

The experimental probability is that the spinner does not land on yellow.

The total number of spinner= 12+10+6

The total number of spinner=28.

What is the formula for the experimental probability?

Probability of an Event P(E) = Number of times an event occurs / Total number of trials.

The number of trials to not land on yellow is,

12+10=22

Therefore the Probability of an Event P(E) is given by,

[tex]P(E)=\frac{22}{28}[/tex]

[tex]P(E)=\frac{11}{14}[/tex]

Therefore option A is correct.

To learn more about the probability visit:

https://brainly.com/question/25870256

This test is gonna be the end of me lol

Answers

Answer:

WC

Step-by-step explanation:

help asap !! you will get branliest.​

Answers

the first one. cube root of 8

Answer:

The answer is option 1.

Step-by-step explanation:

You have to cube root to both sides in order to find p :

[tex] {p}^{3} = 8[/tex]

[tex] \sqrt[3]{ {p}^{3} } = \sqrt[3]{8} [/tex]

[tex]p = \sqrt[3]{8} [/tex]

Pendulum formula need help asap

Answers

Answer:

T = 2*PI* sq root (L / g)

Squaring both sides

T^2 = 4PI^2 * L/g

g = 4PI^2 * L / T^2

g = 4PI^2 * 1 / (3.27)^2

g = 39.4784176044  * 1 / 10.6929

g = 3.6920215848

(Wikipedia says 3.72076, so I'd say the calculation is correct).

Step-by-step explanation:

Please solve this !!! ASAP !!!

Answer the picture below.Please ignore the blue dot that was a miss click.

Answers

the answer is

48 2/9 ft.

I did the equation for it

Please help me!!!!!

Answers

Answer: is answer b

Step-by-step explanation:

Answer: The answer is B

Step-by-step explanation:I did the quiz

What is the volume of a box with length
1 m, width 8 m, and depth 6 m?

Answers

Answer:

Here is the answer mate. Hope it helps. Please rate my answer and mark as brainlist if you find it helpful.

Answer:

[tex] = 48 {m}^{3} [/tex]

Step-by-step explanation:

[tex]volume = l \times w \times b \\ = 1 \times 8 \times 6 \\ = 48 {m}^{3} [/tex]

simplify -5^5 ÷ -5^-6

Answers

Answer:

5^11

Step-by-step explanation:

-5^5 ÷ -5^-6

5^5 divide 5^-6

5^11

200 students, which was 40% of the 7th graders said that the dress code was an important issue at school. How many students are in the 7th grade?

Answers

Answer:

there are 80 students

Step-by-step explanation:

Negative numbers have positive square roots.
O A. True
B. False

Answers

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

negative numbers can't have square roots

What is the median number of carrots in a one-pound bag?

Answers

Answer:

To find the medium order the numbers from least to greatest. Then each time cross off one number from the left side and the right. When you get down to 1 or you have 2 left those are your medians. If you have 2 numbers add them up and divide them by 2. If you have 1 that is your medium. Hope this helps. The median is 70.

Step-by-step explanation:

Question 2(Multiple Choice Worth 5 points)
(03.09 LC)
What is the default view in a Word document?
O Copy View
O Editing View
O Paste View
O Reading View​

Answers

Answer:

EDITING VIEW

Step-by-step explanation:

Solve:
[tex]{2x}^{2} + x - 3 = [/tex]

Answers

Actually it has 3 method to solve this question, but I just show 2 method . Method 1 is just pressing your calculator. Method 2 is using the formula. The method that I didn’t show is completing the square method(CTS method)

Noah paid off a loan with a simple interest rate of 9.7% in 4 months. What was the APR?
29.1%
3.23%
2.43
15.5%
9.7%

Answers

Answer:

9.7% for 4 months = 9.7 * 3 = 29.1% for the year.

Step-by-step explanation:

The population of a city in the year 2000 was 500,000. Over the following decade the population
grew by 8%. What was the population of the city in 2010?​

Answers

Answer:

The closest thing I could get was 540 000

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