1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Flura [38]
3 years ago
8

A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the followi

ng events: A:{ One of the balls is yellow } B:{ At least one ball is red } C:{ Both balls are green } D:{ Both balls are of the same col
Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that a  box contains one yellow, two red, and three green balls.

Two balls are randomly chosen without replacement.

A) one ball is yellow:

This means one is yellow and other can be any other colour

i.e. drawing one yellow and one from 5 remaining.

This can be as (y,r) (y,g) (r,y) or (g,y)

where y for yellow, r for red and g for green.

B) { At least one ball is red }

This means the two balls should not be different from red.

The favorable outcomes are  two red, (one red, one yellow) (one green, one red). But should not be (green,yellow)

C) :{ Both balls are green }

Here the balls drawn should be only green, green and not any other combination.

D) { Both balls are of the same col

Since yellow is one, there cannot be two yellows

Hence only possibilities are (red, red) or (green, green)

You might be interested in
5/6 = b/48. B=______​
Andrew [12]

Answer:

b = 40

Step-by-step explanation:

4 0
3 years ago
A new glove and ball are priced $29.99, but you have a coupon for 15% off. What is the price of the glove and ball with the coup
g100num [7]
25.01 let me know if I’m right!
5 0
2 years ago
Meredith picked four times as many green peppers as red peppers if she picked a total of 20 peppers how many green peppers did s
Alexus [3.1K]
So first you see that she picked 20 green peppers and that she picked 4 times more than red. So you take 4 x 5 and you should get your answer 20 so then the answer is 5.
4 0
3 years ago
The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion about 3/4 comes from tolls on
Rama09 [41]

Percent of turn pike is 75% and percent of parkway is 25%.

<u>Solution:</u>

Given, The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion

About \frac{3}{4} comes from tolls on the turnpike

Remaining \frac{1}{4} comes from tolls on the parkway  

<em><u>To find the percent of the total revenue from turnpike:</u></em>

\begin{array}{l}{\text { Percent of turnpike }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \text { of total revenue }}{\text { tot al revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \times \text { total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{3}{4} \times 100=3 \times 25=75 \%}\end{array}

<em><u>To find the percent of the total revenue from parkway:</u></em>

\begin{array}{l}{\text { Percent of parkway }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \text { of total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \times \text { total revenue}}{\text { total revenue }} \times 100} \\\\ {=\frac{1}{4} \times 100=25 \%}\end{array}

<em><u>Summarizing the results:</u></em>

Percent of turn pike is 75%

Percent of parkway is 25%

3 0
3 years ago
Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result
Vaselesa [24]

<u>Complete Question:</u>

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

<u>Correct Answer:</u>

A) (10-x)(12-x)=15

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

<u>Step-by-step explanation:</u>

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

length=10-x\\breadth=12-x

According to question , Area of new image is :

⇒ Area = \frac{1}{8}Length(breadth)

⇒ Area = \frac{1}{8}(10)(12)

⇒ Area = 15

So the equation will be :

⇒ (10-x)(12-x)=15

b. Find the dimensions of the reduced image

Let's solve :  (10-x)(12-x)=15

⇒ 120-10x-12x+x^2=15

⇒ 120-22x+x^2=15

⇒ x^2-22x+105=0

By Quadratic formula :

⇒ x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ x = \frac{22 \pm8 }{2}

⇒ x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}

⇒ x = 15 , x =7

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ x =7

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

5 0
2 years ago
Other questions:
  • PLEASE HELP! I WILL MARK THE BRAINLIEST!
    7·1 answer
  • Number 22 hurry please
    8·1 answer
  • Is pie rational or irrational?
    15·2 answers
  • Geometry Homework Help Pleease~~
    12·1 answer
  • Find the midsegment of triangle BCD, which is parallel to BC. Label the endpoints of the midsegment as E and G.
    13·1 answer
  • The system of equations is given:
    8·1 answer
  • Describe the size of a pint as it relates to a quart using fractions
    9·2 answers
  • Solve each system by substitution<br> y=-2x + 7<br> y = 3x - 13
    5·1 answer
  • What is the equation of the function represented by this graph?
    9·1 answer
  • The height (in feet) of a rocket launched from the ground is given by the function f(t) = -16t2 160t. match each value of time e
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!