Need Help!!! ASAP

A probability model includes P(red) = 2/7 and P(blue) = 3/14 which of the following probabilities could complete the model? Select all that apply.

P(green) = 2/7 P(yellow) = 2/7
P(green) = 3/8 P(yellow) = 1/8
P(green) = 1/4 P(yellow) = 1/4
P(green) = 5/21 P(yellow) = 11/21
P(green) = 3/7 P(yellow) = 1/14

Answers

Answer 1

Answer:

[tex]P(green)+P(yellow)=\frac{3}{8}+\frac{1}{8}[/tex]

[tex]P(green)+P(yellow)=\frac{1}{4}+\frac{1}{4}[/tex]

[tex]P(green)+P(yellow)=\frac{3}{7}+\frac{1}{14}[/tex]

Step-by-step explanation:

The given probabilities are:

[tex]P(red)=\frac{2}{7}[/tex]

[tex]P(blue)=\frac{3}{14}[/tex]

Their sum is [tex]P(red)+P(blue)=\frac{2}{7}+\frac{3}{14}[/tex]

The probabilities that will complete the model should add up to [tex]\frac{1}{2}[/tex] so that the sum of all probabilities is 1.

[tex]P(green)+P(yellow)=\frac{2}{7}+\frac{2}{7}\ne\frac{1}{2}[/tex]

[tex]P(green)+P(yellow)=\frac{3}{8}+\frac{1}{8}=\frac{1}{2}[/tex]

[tex]P(green)+P(yellow)=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}[/tex]

[tex]P(green)+P(yellow)=\frac{5}{21}+\frac{11}{21}\ne\frac{1}{2}[/tex]

[tex]P(green)+P(yellow)=\frac{3}{7}+\frac{1}{14}=\frac{1}{2}[/tex]

Answer 2

Answer:

According to the information you provided, a probability model includes P(red) = 2/7 and P(blue) = 3/14. The probabilities that could complete the model are P(green) = 5/21 and P(yellow) = 11/21. This is because the sum of all probabilities in a probability model must equal 1. In this case, 2/7 + 3/14 + 5/21 + 11/21 = 1.


Related Questions

Match the term with the definition

Answers

Answer:

Plane: C) A flat surface that extends infinitively and has no depth; it has length and width

Perpendicular Lines: B) Two lines that intersect at 90° angles

Parallel Lines: E) Two lines that lie within the same plane and never intersect

Circle: D) A set of all points in a plane that are given distance from a plane

Angle: A) A figure consisting of two rays with a common endpoint

I hope this helps

this is 100% correct

plz mark me brainliest

I need help for number 7 please please

Answers

Answer:

They averaged 79 km per hour

Step-by-step explanation:

To find the average distance, take the kilometers and divide by the hours

1106 km/  14 hours

79 km / hours

They averaged 79 km per hour

79

79x14 is 1106. hope this helps

Using a "15% off" coupon, Dianne saved $12.75 on a new chair for her home office. What was the chair's regular price? How much did she pay?​

Answers

Answer:

The original price was $85

She spent $72.25

Step-by-step explanation:

When x equals the price of the chair:

12.75/15 = x/100

15 x = 1275

x = $85

To find the price she paid:

85 - 12.75 = $72.25

Type the correct answer in the box. If necessary, use / for the fraction bar. A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. Taylor is in a hurry to make breakfast and picks something from the basket at random. The exact probability that Taylor picks an egg from the basket is .

Answers

Answer:

29/40

Step-by-step explanation:

A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. The exact probability that Taylor picks an egg from the basket is;

(14+15)/(14+15+11) = 29/40

Answer:

The exact probability that Taylor picks an egg from the basket is 0.725

Step-by-step explanation:

A basket contains 14 white eggs, 15 brown eggs and 11 lemons.

Total number of items in the basket [tex]=14+15+11= 40[/tex]

Total number of eggs in the basket [tex]=14+15= 29[/tex]

Taylor picks one item at random from the basket.

So, the probability that Taylor picks an egg [tex]=\frac{total\ number\ of\ eggs}{total\ number\ of\ items}=\frac{29}{40}=0.725[/tex]

How to write 3.499 an Expanded Form and Word Form? PLEASE HELP ME

Answers

(3 x 1 ) + (4 x 0.1) + (9 x 0.01) + ( 9 x 0.001)

OR

3 + 0.4 + 0.09 + 0.009

Three and four hundred ninety-nine thousandths

Hope this helped!

If (-3) exponent -5 = 1/x, what is the value of x?
-243
- 1/243
1/243
243

Answers

Answer:

[tex]\boxed {-243}\\[/tex]

Step-by-step explanation:

[tex]\begin{array}{rclr}(-3)^{-5} & = & \dfrac{1}{x}& &\\(-3)^{5} & = & x &\text{Inverted each side of the equation}\\x & = & \boxed {\textbf{{-243}}}\\\end{array}[/tex]

Please need help badly. If the area of BAC=8, what is the area of EDF

Answers

Answer:im not sure but if im correct the answer should be 6

Step-by-step explanation:im assuming this cause if 8/4 is 2 then take the 2 and times it with the 3

Answer:

Area of ΔEDF = 4.5 in²

Work shown image:

The sector of a circle with a 12-inch radius has a central angle measure of 60

What is the exact area of the sector in terms of pi

Answers

Answer:

24 π square inches

Step-by-step explanation:

The area of a circule is give by the formula A = π r²

Since we have a angle of 60 degrees, that represent 1/6th of the whole area (60 / 360 degrees).

A circle = π * 12² = 144 π square inches

Area of the portion representing 60 degrees of the circle, can easily be calculated with a cross-multiplication:

[tex]\frac{x}{144\pi } = \frac{60}{360}[/tex]

x = 144 π / 6 = 24 π square inches

Two architectural models are pyramids with bases of equal area. The smaller model has a height of 10 centimeters, and the larger model has a height of 30 centimeters. How many times greater than the smaller model is the larger model’s volume?

Answers

Answer:

The larger model’s volume is 3 times greater than the volume of the smaller model

Step-by-step explanation:

we know that

The volume of a pyramid is equal to

[tex]V=\frac{1}{3}Bh[/tex]

where

B is the area of the base of pyramid

h is the height of the pyramid

Find the volume of the smaller model

we have

[tex]h=10\ cm[/tex]

substitute

[tex]V=\frac{1}{3}B(10)[/tex]

[tex]V=\frac{10}{3}B\ cm^{3}[/tex]

Find the volume of the larger model

we have

[tex]h=30\ cm[/tex]

substitute

[tex]V=\frac{1}{3}B(30)[/tex]

[tex]V=\frac{30}{3}B=10B\ cm^{3}[/tex]

To find how many times greater than the smaller model is the larger model’s volume, divide the volume of the larger model by the volume of the smaller model

so

[tex]10B/(\frac{10}{3}B)=3[/tex]

The larger model’s volume is 3 times greater than the volume of the smaller model

is an isosceles trapezoid below x=

Answers

Answer:13

Step-by-step explanation:

5x+15=7x-11

7x. 7x

2x+15=11

+15 +15

2x =26

———

2

x = 13

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal. The value of x is 13.

What is a Trapezoid?

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

In an isosceles trapezoid, the angles formed at the ends of any one of the parallel lines are congruent. Therefore, we can write,

5x+15 =7x-11

15+11=7x-5x

26=2x

x = 13

Hence, the value of x is 13.

Learn more about Trapezoid:

https://brainly.com/question/8643562

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Find the equation of the line that is perpendicular to y=-2/3x and contain the point (4,-8)

Answers

Answer:

y = 3/2x - 14.

Step-by-step explanation:

The slope of the perpendicular line  is - 1 / -2/3

= 3/2.

Using the point slope form y-y1 = m(x-x1):

y - (-8) = 3/2(x - 4)

y + 8 = 3/2x - 6

y = 3/2x - 14.

Answer:

y = [tex]\frac{3}{2}[/tex] x - 14

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{2}{3}[/tex] x ← is in this form

with slope m = - [tex]\frac{2}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex], hence

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation of the perpendicular line

To find c substitute (4, - 8) into the partial equation

- 8 = 6 + c ⇒ c = - 8 - 6 = - 14, so

y = [tex]\frac{3}{2}[/tex] x - 14 ← equation of perpendicular line

2. What is the external probability of rolling a 4


3 what is the external probability of getting at least one tail

Answers

Answer:

2. 1- Experimental probability of rolling a 4 = 40%

3. 2- Theoretical probability is 3%  greater than experimental probability.

Step-by-step explanation:

Experimental probability of rolling a 4 = 100 × [tex]\frac{8}{20}[/tex]

                                                                  = 100 × 0.4

                                                                  = 40%

Experimental probability of getting at least one tail  = [tex]\frac{72}{100}[/tex]

                                                                                    = 0.72

Theoretical probability of getting at least one tail  = [tex]\frac{3}{4}[/tex]

                                                                                  = 0.75

Theoretical probability is 3%  greater than experimental probability.

Let me know the answer plz

Answers

Answer:

J

Step-by-step explanation:

Find the common ratio r of the geometric sequence then multiply a term by r to obtain the next term

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{-36}[/tex] = - [tex]\frac{1}{6}[/tex]

The next 3 terms are

[tex]\frac{1}{6}[/tex] × - [tex]\frac{1}{6}[/tex] = - [tex]\frac{1}{36}[/tex]

- [tex]\frac{1}{36}[/tex] × - [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{216}[/tex]

[tex]\frac{1}{216}[/tex] × - [tex]\frac{1}{6}[/tex] = - [tex]\frac{1}{1296}[/tex]

Answer:

J. [tex]-\frac{1}{36}[/tex], [tex]\frac{1}{216}[/tex], [tex]-\frac{1}{1296}[/tex]

Step-by-step explanation:

We are given the following geometric sequence and we are to find its 8th term:

[tex]-36, 6, -1, \frac{1}{6},...[/tex]

Here [tex]a_1=-36[/tex] and common ratio [tex](r) = \frac{-1}{6}=\frac{-1}{6}[/tex].

The formula we will use to find the next three terms is:

nth term = [tex]a_1 \times r^{(n-1)}[/tex]

5th term = [tex]-36 \times \frac{-1}{6}^{(5-1)}[/tex]  = [tex]-\frac{1}{36}[/tex]

6th term = [tex]-36 \times \frac{-1}{6}^{(6-1)}[/tex]  = [tex]\frac{1}{216}[/tex]

7th term = [tex]-36 \times \frac{-1}{6}^{(7-1)}[/tex]  = [tex]-\frac{1}{1296}[/tex]

10 points please help very easy

Answers

Answer:

165 KBS and 750 jump rope

Step-by-step explanation:

After 7 years, what is the total amount of a compound interest investment of an initial
principal of $1685 at a rate of 4.3% compounded quarterly?

A. 1942.18
B.373,709.25
C.2461.55
D.2273.13

Answers

Answer:

Option D. $2273.13

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=7\ years\\ P=\$1,685\\ r=0.043\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$1,685 (1+\frac{0.043}{4})^{4*7}=\$2,273.13[/tex]  

 

Use the quadratic formula to solve for the roots in the following equation. 4x 2 + 5x + 2 = 2x 2 + 7x – 1

Answers

Answer:

So, The roots are [tex]x= \frac{1+\sqrt{5}i}{2} \,\, and \,\,x= \frac{1-\sqrt{5}i}{2}[/tex]

Step-by-step explanation:

[tex]4x^2 + 5x + 2 = 2x^2 + 7x - 1[/tex]

We need to solve the equation to find the roots using quadratic formula.

The quadratic formula is:

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

Rearranging the above equation:

[tex]4x^2 -2x^2+ 5x-7x + 2+1 =0[/tex]

[tex]2x^2 -2x + 3 =0[/tex]

Where a =2 , b=-2 and c =3 Putting values in quadratic equation and solving:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(2)(3)}}{2(2)}\\x=\frac{2\pm\sqrt{4-24}}{4}\\x=\frac{2\pm\sqrt{-20}}{4}\\\sqrt{-20} \,\,can\,\,be\,\, written\,\, as\,\, 2\sqrt{-5}\\ x=\frac{2\pm2\sqrt{-5}}{4}\\x=\frac{2+2\sqrt{-5}}{4} \,\, and \,\, x=\frac{2-2\sqrt{-5}}{4}\\x=\frac{2(1+\sqrt{-5})}{4} \,\, and \,\, x=\frac{2(1-\sqrt{-5})}{4}\\ x=\frac{1+\sqrt{-5}}{2} \,\, and \,\, x=\frac{1-\sqrt{-5}}{2}\\As \,\,we\,\, know\,\, \sqrt{-1} = i \\[/tex]

[tex]x= \frac{1+\sqrt{5}i}{2} \,\, and \,\,x= \frac{1-\sqrt{5}i}{2}[/tex]

So, The roots are [tex]x= \frac{1+\sqrt{5}i}{2} \,\, and \,\,x= \frac{1-\sqrt{5}i}{2}[/tex]

Answer:

these numbers go in the spaces. short and simple.

1 5

2 2

mark brainliest please!

Step-by-step explanation:

There is a 90% chance of rain tomorrow and a 30% chance that the baseball game is postpone. What is the probability it will rain tomorrow and the baseball game is postponed.

Answers

Hello! :)

The answer is probably from changing first to decimals by dividing by 100: 90 and 30 become .9 and .3.

Then, multiply the two: .9 x .3 = .27

Finally, you multiply .27 by 100 = 27

Add the percentage sign: 27%

So there is a 27% chance that it will rain and the baseball game is postponed.

Very unlikely, I know. ;D

Hope this helped and I hope I answered in time!

Good luck!

~ Destiny ^_^

The probability it will rain tomorrow and the baseball game is postponed is 0.93 .

What is probability ?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

According to classical definition of probability, a random experiment consists of a set of possible outcomes and each set of possible outcomes is equally likely to occur in the course of the event.

How to calculate the given probability ?

It is given that there is a 90% chance of rain tomorrow and a 30% chance that the baseball game is postpone.

Let A be the probability that there is a chance of rain tomorrow and B be the probability that the baseball game is postpone.

P(A) = 90% = 0.9 and P(B) = 30% = 0.3 and P(A∩B) = (0.9*0.3) = 0.27 .

The probability it will rain tomorrow and the baseball game is postponed is given by P(A∪B) .

By formula,

⇒ P(A∪B) = P(A) + P(B) - P(A∩B)

⇒ P(A∪B) = 0.9 + 0.3 - 0.27

∴  P(A∪B) = 0.93 .

Therefore, the probability it will rain tomorrow and the baseball game is postponed is 0.93 .

To learn more about concepts of probability, refer -

brainly.com/question/13604758

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what makes n true 1/2 (n+4)=6

Answers

Answer: N=8

Step-by-step explanation: So 1/2*4=2 then you know that you need 4 to get to six because you already have two. Then 8/2=4 so N=8.

1/2(8+4)=6

4+2=6

6=6

Hope this helped!!!!!

Final answer:

To find the value of n that satisfies the equation 1/2 (n+4)=6, multiply both sides by 2 and subtract 4 from both sides to get n=8.

Explanation:

The student's question asks for the solution to the algebraic equation: 1/2 (n+4)=6. To solve for n, follow these steps:

Multiply both sides of the equation by 2 to get rid of the fraction: n + 4 = 12.Subtract 4 from both sides to isolate n: n = 12 - 4.Simplify the equation to find the value of n: n = 8.

Therefore, the value of n that makes the equation true is 8.

Use the perfect square method
(3x + 3)^2 = 36

Answers

Factor out the common term; 3

(3(x + 1))^2 = 36

Use the Multiplication Distributive Property; (xy)^a = x^ay^a

3^2(x + 1)^2 = 36

Simplify 3^2 to 9

9(x + 1)^2 = 36

Divide both sides by 9

(x + 1)^2 = 36/9

Simplify 36/9 to 4

(x + 1)^2 = 4

Take the square root of both sides

x + 1 = √4

Since 2 * 2 = 4, the square root of 2 is 2

x + 1 = 2

Break down the problem into these 2 equations

x + 1 = 2

x + 1 = -2

Solve the first equation; x + 1 = 2

x = 1

Solve the second equation; x + 1 = -2

x = -3

Collect all solutions;

x = 1, -3

I have to find the volume and the surface area of a cereal box.
12 inches tall
8 inches wide
please show all your work

Answers

Answer:

Volume: 8x1x12=96 inches^3

Surface area: 8x1x2=16

1x12x2=24

8x12x2=192

the total surface is: 16+24+192=232 inches^2

12 in tall * 8 in wide = 96 in area. You need a third value to find a volume.

The acceleration, a, of an object produced when a force is applied is given by the following formula, where F represents the force acting on the object and m represents the mass of the object.



If a has units of meters per second squared and m has units of grams, what must be the units of F?
A.
meters per second
B.
grams·meters per second squared
C.
grams
D.
grams·meters per second

Answers

I think it’s b I hop

NEED ASAP

A person walks for 100 yards then turns through an angle of 60° and walks another hundred yards. How far is she from her starting point?

Please help!! I’m not sure what formula to use!!

Answers

Answer:

[tex]100\ yd[/tex]

Step-by-step explanation:

we know that

Applying the law of cosines

[tex]c^{2} =a^{2}+b^{2}-2(a)(b)cos(C)[/tex]

In this problem we have

c-----> is the distance from her starting point

[tex]a=100\ yd[/tex]

[tex]b=100\ yd[/tex]

[tex]C=60\°[/tex]

substitute

[tex]c^{2} =100^{2}+100^{2}-2(100)(100)cos(60\°)[/tex]

[tex]c^{2} =10,000+10,000-10,000[/tex]

[tex]c^{2} =10,000[/tex]

[tex]c=100\ yd[/tex]

If I were to use the distributive property to simplify 3(10+15x) would you multiply 3 times 10 and add 15x to it?

Answers

Answer:

No!

The answer is 30 + 45x   See below. Very important question.

Step-by-step explanation:

No!

If you do that, you are violating the properties of the distributive property.

You must multiply both sides of the plus sign by 3

3(10 + 15x) = 3*10 + 3*15x

3(10 + 15x) = 30 + 45x

The sum of four consecutive odd numbers is 40 what is the greatest of the four numbers

Answers

Answer:

13

Step-by-step explanation:

First find the average the numbers (40 / 4 = 10)

2 are more and 2 are less

7, 9, 11, 13

An odd number can be written as 2n+1, where n is an integer. Four consecutive odd numbers can be written as 2n-3, 2n - 1, 2n + 1 and 2n + 3. Adding these together gives you 8n, which we are told is 40. So n is 5 and the four consecutive odd numbers are 7, 9, 11 and 13.

A roll of fabric was 120 inches long. A customer bought 3 feet of the fabric.

How many feet of fabric were remaining?

Answers

The 7 feet of fabric were remaining.

To solve this problem step by step:

1. Convert the length of the roll of fabric from inches to feet.

  - 120 inches ÷ 12 inches/foot = 10 feet

2. Subtract the length purchased by the customer from the total length of the roll.

  - 10 feet - 3 feet = 7 feet

So, the customer bought 3 feet of fabric, leaving 7 feet remaining.

1. To convert inches to feet, we know that there are 12 inches in a foot. So, we divide the length of the fabric in inches by 12 to get the length in feet.

  - 120 inches ÷ 12 inches/foot = 10 feet

2. Next, we subtract the length purchased by the customer (3 feet) from the total length of the roll (10 feet) to find out how much fabric remains.

  - 10 feet - 3 feet = 7 feet

Therefore, the customer bought 3 feet of fabric, leaving 7 feet remaining.

Complete question:

A roll of fabric was 120 inches long. A customer bought 3 feet of the fabric.

How many feet of fabric were remaining?

11 cm
63°
9 cm
What is the area of this triangle?

Enter your answer as a decimal in the box
Round only your final answer to the nearest
tenth.

Answers

The correct answer is 44.1 [tex]cm^{2}[/tex]. I took the test.

The Wall Street Journal reporter the biggest music comeback in 2014 was vinyl records. Nearly 8 million vinyl were sold in 2014, mostly to younger markets. If there were 15 vinyl record factories pressing records in the United States in 2014, and only 2/3 remain operational in 2015, how many factories closed down?

Answers

Answer:

5 factories closed

Step-by-step explanation:

In 2014 there were 15 operating factories.

We know that of those 15 factories only 2/3 remain operative.

If only 2/3 remain operational this means that 1/3 of them closed.

To calculate the number of factories that closed we must multiply the initial number of operative factories by 1/3.

This is:

[tex]15 * \frac{1}{3} = \frac{15}{3} = 5[/tex].

5 factories closed

Write the number which is exactly a third of the way from 2.6 to 3.5. Please explain how you get the answer.Thanks

Answers

3.5-2.6=0.9

0.9÷3=0.3

2.6+0.3=2.9

answer is 2.9

there are 7 circles in a row. there are 3 rows complete story​

Answers

Wym is this multiplication

What is the volume of the come with radius 5 m and height 6 m ? Express the answer in terms of pi.
A. 35pi m^3
B. 47pi m^3
C. 50pi m^3
D. 63pi m^3

Answers

Answer:

C

Step-by-step explanation:

The volume (V) of a cone is calculated using the formula

V = [tex]\frac{1}{3}[/tex] πr² h

where r is the radius and h the perpendicular height

here r = 5 and h = 6, hence

V = [tex]\frac{1}{3}[/tex] × π × 5² × 6

   = 2π × 25 = 50π m³ → C

The volume of the cone is [tex]\( 50\pi \, \text{m}^3 \).[/tex]

How to get the volume of the cone

The formula for the volume v of a cone is given by:

[tex]\[ V = \frac{1}{3} \times \pi \times r^2 \times h \][/tex]

The variables in the formula are:

r is the radius of the base of the cone.

his the height of the cone.

Given a cone with radius r = 5 meters and height h = 6 meters, substitute these values into the formula:

[tex]\[ V = \frac{1}{3} \times \pi \times (5^2) \times 6 \]\[ V = \frac{1}{3} \times \pi \times 25 \times 6 \]\[ V = \frac{1}{3} \times \pi \times 150 \]\[ V = 50 \pi \][/tex]

Therefore, the volume of the cone is [tex]\( 50\pi \, \text{m}^3 \).[/tex]

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