Students will randomly select a tile from a bag containing one red, one yellow, one blue, and one green tile, and then roll a cube with faces numbered 1 through 6. What is the probability that a student draws a red or yellow tile, and rolls a number between 1 and 3.

Answers

Answer 1

Answer:

[tex]\bold{\dfrac{1}{4}}[/tex]

Step-by-step explanation:

Number of red tiles = 1

Number of yellow tiles = 1

Number of blue tiles = 1

Number of green tiles = 1

Total number of tiles = 4

Also, given that there is a standard dice with faces numbered from 1 to 6.

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

First of all, let the event [tex]A[/tex] be event that a red or yellow tile is chosen.

Number of favorable cases = 2

Total number of cases = 4

[tex]P(A) = \dfrac{2}{4} = \dfrac{1}{2}[/tex]

Let the event [tex]B[/tex] be event that a number between 1 and 3.

Number of favorable cases = 3

Total number of cases = 6

[tex]P(B) = \dfrac{3}{6} = \dfrac{1}{2}[/tex]

[tex]P(A\ and\ B) = P(A).P(B)[/tex]

[tex]P(A\ and\ B) = \dfrac{1}{2}.\dfrac{1}{2} = \bold{\dfrac{1}{4}}[/tex]

Answer 2

Answer:

1/4

Step-by-step explanation:


Related Questions

What is the common difference or ratio?

A. The common difference is 0.38.

B.
The common difference is 0.76.

C. The common ratio is 0.99.

D. The common ratio is 1.02.

Answers

Answer:

The correct answer is A. The common difference is 0.38

Step-by-step explanation:

Hope i helped! Have a great day <3

There are 5 dogs and 9 cats at a veterinary clinic. Which choice lists the ratios in the order of cats to dogs, dogs to cats, then cats to total number of animals?

Answers

Answer:

9:5= Cats to dogs

5:9 = Dogs to cats

9:14 = Cats to Total number of animals

Step-by-step explanation:

:p

Two students are both working on the same problem: A box of laundry soap has 25%
more soap in its new box. The new box holds 2 kg. How much soap did the old box
hold?

Answers

Answer:

0.5kg

Step-by-step explanation:

25% of 2kg is 0.25

Answer:

0.25% ounces

Step By Step Explaination:

Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
(-4.-8) and (-8, -9)

Answers

Answer:

The equation in the slope-intercept form will be:

y  = 1/4x - 7

Step-by-step explanation:

Given the points

(-4.-8) (-8, -9)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)[/tex]

[tex]m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}[/tex]

[tex]m=\frac{1}{4}[/tex]

We know that the slope-intercept of line equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y  = 1/4x + (-7)

y  = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y  = 1/4x - 7

PLEASE HELP ASAP I HAVE A TEST IN 2 MINUTES!!!!!!

The graph below models the value of a $20,000 car t years after it was purchased.

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

A. Each car value, y, is associated with exactly one time, t.
B. Each time, t, is associated with exactly one car value, y.
C. The rate at which the car decreases in value is not constant.
D. There is no time, t, at which the value of the car is 0.

Answers

B. Each time, t, is associated with exactly one car value, y.

Answer:

B

Step-by-step explanation:

I got it right on the test

please help! There is only a,b, and c. There is no option “d”. Please help it’s late!

Answers

c i think lmk if I got this

A circle with a 12 in diameter is folded in half and then folded in half again. What is the area of the resulting shape in terms of pi?​

Answers

i believe the answer is 3

how many groups of 61 are in 10736​

Answers

176 plz mark Brainlesit

I’ll make it brainliest plss answer this one plssssss

Answers

Answer:

The answer is C.

Step-by-step explanation:

In order to find the x-intercept and y-intercept, you have to substitute 0 into each expression :

[tex]let \: x = 0[/tex]

[tex]0 - 3y = 6[/tex]

[tex] - 3y = 6[/tex]

[tex]y = 6 \div ( - 3)[/tex]

[tex]y = - 2[/tex]

[tex]let \: y = 0[/tex]

[tex]2x - 0 = 6[/tex]

[tex]2x = 6[/tex]

[tex]x = 6 \div 2[/tex]

[tex]x = 3[/tex]

Given that the x-intercept is 3 and y-intercept is -2. By looking at the picture, graph C fits the coordinates, (3,0) and (0,-2).

Write seventy thousand three hundred twenty and sixteen thousandths in standard form

Answers

Answer:

27,328.016

Step-by-step explanation:

Annie's soccer team is conducting a passing drill in which each of the 11 members of the soccer team must pass the ball to each of the other members exactly three times. How many times must the ball be passed before the passing drill is over?

Answers

Answer:

33

Step-by-step explanation:

if each of the 11 must pass it 3 times, you multiply. 11×3 is equal to 33.

oh shoot I cant figure out how to delete comments but someone told me this is wrong ;(

Answer: 330

Step-by-step explanation: 11 x 10 = 110. 3 x 110 = 330

Which ratio is equivalent to the ratio 20 to 35? 5 to 7 7 to 5 8 to 14 14 to 8

Answers

Answer: it’s 8 to 14 number c

Step-by-step explanation:

Let me know if I’m wrong

The ratio equivalent to 20 to 35 is 8 to 14.

Option C is the correct answer.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

20 to 35

This can be written as,

= 20/35

= 5 x 4 / 5 x 7

= 4/7

Now,

5 to 7 = 5/7

7 to 5 = 7/5

8 to 14 = 8/14 = 4/7

14 to 8 = 14/8 = 7/4

Thus,

20 to 35 is the same as 8 to 14.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ2

An electrician charges $51 for 3 hours of work. How much would the electrician charge for 2 hours of work?
(for your answer just put the number without the dollar sign)

Answers

Answer:

34

Step-by-step explanation:

Givens:

-$51 for 3 hours of work

-2 hours?

Find unit rate:

51 divided by 3

17 per hour

17 times 2 (for 2 hours)

34

You want to tile a 10 foot square floor with tiles that are twice as long as they are wide. determine how many tiles you need to cover the floor when the tile length is 2 feet

Answers

To cover a floor with an area of 10 square foot, 5 tiles is needed.

Area is the amount of space enclosed by a two-dimensional figure.

If the tile is 2 feet long and twice as long as they are wide, suppose that the tile is a rectangle, then the area of each tile will be:

Area of tile = l x w

where l = 2 feet

w = 1 foot

Area of tile = 2feet(1 foot)

Area of tile = 2 ft^2

To determine how many tiles are needed to cover a 10 foot square floor, divide the area of the floor with the area of each tile.

# of tiles = Area of floor/Area of each tile

# of tiles = 10 ft^2/2ft^2

# of tiles = 5

Learn more about area here: https://brainly.com/question/25292087

#SPJ4

please help me i need help asap

Answers

Answer:

-6

Step-by-step explanation:

Add the positive numbers first which is nine then add a negative like -8 and you get then add -7 which is -6

Please help!! I will mark you brainlist!

Answers

Answer:

Step-by-step explanation:

The answer is D because all you need to do is multiply everything by 0.5, or one half.

Which linear equation has a slope of 3 and a y-intercept of -2? Oy = 3x + 2 Oy = 3x - 2 Oy=-2x + 3 Oy=-2x-3​

Answers

Answer:

B. y=3x-2

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=3

b=-2

y=3x-2

Hope this helps!

Please mark as brainliest if correct!

I just need help with the option that is blank ​

Answers

Y=-3
X=0

(0,-3)

To solve,
Distribute 5 to the whole first equation.

You will get -10x+25y=-75

Then distribute 2 across second equation

You will get 10x+4y=-12

X will cance out and you will have 29y=-87

Y=-3

And just plug -3 into one of the equation and you get X=0

Final answer :
(0,-3)

Solve the problem
( Show your work )

2x + 10 =- 4x – 9

Answers

Answer:

x = -19/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2x + 10 = -4x - 9

Step 2: Solve for x

Add 4x on both sides:                    6x + 10 = -9Subtract 10 on both sides:             6x = -19Divide 6 on both sides:                  x = -19/6

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    2(-19/6) + 10 = -4(-19/6) - 9Multiply:                               -19/3 + 10 = 38/3 - 9Add/Subtract:                      11/3 = 11/3

Here we see that 11/3 does indeed equal 11/3.

∴ x = -19/6 is the solution to the equation.

two integers whose absolute value is 12

Answers

Answer:

-12 and 12

Step-by-step explanation:

It costs $100 to rent the bowling alley, plus $4 per person. The cost for any number (n) of people can be found using the expression 100 + 4n. What is the cost for 15 people? Use the dollar sign. *units are very important!

Answers

Answer:

$160

Step-by-step explanation:

Step one:

It costs $100 to rent the bowling alley

plus $4 per person

the expression for the cost is

[tex]C=100 + 4n[/tex]

where n is the number of people

for n= 15

Step two:

let us substitute

[tex]C= 100+4(15)\\\\C= 100+60\\\\C= 160[/tex]

Plz helppppppp plzzzzz

Answers

Answer:

let me try

Step-by-step explanation:

if the dot means times it’s 2^72 but if it doesn’t then it will be 2^17 i may be wrong but that what i think it would be

A sweater was marked down from $40 to
$30. This was a difference of what
percent? Round to the nearest whole
percent.

Answers

Answer:

This is a 75% off sale.

Step-by-step explanation:

Hope this helps you :)

Answer:

25 % off

Step-by-step explanation:

30 is 75% of 40 so 25 down

In a smoothie the ratio of ounces of blueberries to ounces of yogurt is 4 to 5.

How many ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries?

Answers

Step-by-step explanation:

the answer is 12.5 sorry if i am wrong

Find the minimum value of the function. [Hint: Let t = x³.] f(x) = 1 + 12x³ + 3x⁶​

Answers

Answer:   -11

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

Work Shown:

t = x³

f(x) = 1 + 12x³ + 3x⁶

f(x) = 1 + 12x³ + 3(x³)²

f(t) = 1 + 12t + 3t²

f(t) = 3t² + 12t + 1

f(t) = 3(t² + 4t) + 1

f(t) = 3(t² + 4t + 4 - 4) + 1 .... see note below

f(t) = 3( (t²+4t+4) - 4) + 1

f(t) = 3( (t+2)² - 4) + 1

f(t) = 3(t+2)² - 3*4 + 1

f(t) = 3(t+2)² - 12 + 1

f(t) = 3(t+2)² - 11

The smallest that t² can get is 0. By extension, the smallest (t+2)² can get is also 0, and same goes for 3(t+2)².

So effectively we replace the 3(t+2)² portion with 0 and end up with  3(t+2)²-11 = 0-11 = -11 as the minimum value of f(x)

This is the smallest output possible. Confirmation of such is shown in the  graph below.

------------

Note: Recall that (A+B)² = A²+2AB+B². If we use this rule on (t+2)², then we get t²+4t+4. Earlier we simply had t²+4t without the extra +4 at the end. So I added 4 and subtracted 4 to balance things out. This completed the square.

is this true or false bc i’m not sure pleas help

Answers

Answer: False.

Step-by-step explanation: The table does not follow a pattern or a relation.

The answer is false

162 is what percent of 200?

Answers

Answer:

81%

Step-by-step explanation:

divide 162 by 200

Write the algebraic expression (ex. 2x - 5) for this problem: Eight less than a number​

Answers

Answer:

x - 8

Step-by-step explanation:

Answer:

Here you can simply use a single operator:

x - 8

A wall is 22 feet tall. A ladder is leaned against that wall. The top of the ladder touches the top of the wall and the bottom of the ladder rests on the ground 8 feet from the base of wall. What is the length of the ladder?

Answers

Answer:

23.41 feet

Step-by-step explanation:

The ladder forms a right angle triangle with the wall

Height of the wall (opposite) = 22 feet

Bottom of the ladder from the wall (adjacent) = 8 feet

What is the length of the ladder?

Length of the ladder (hypotenuse)

Using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

= 22² + 8²

= 484 + 64

= 548

Hypotenuse ² = 548

Hypotenuse = √548

= 23.41 feet

The length of the ladder is 23.41 feet

Aidan drives to school and back each day. The school is 16 miles from his home. He averages 40 miles per hour on his way to school. If his total trip takes 1 hour, at approximately what average speed does Aidan drive home?


Distance (mi)
Rate (mph)
Time (hr)
Trip to School
16
40

Trip Home
16
x

17 mph
27 mph
32 mph
56 mph

Answers

Aidan's average speed on his drive home is 26 2/3 miles per hour

What is Aidan's average speed?

Average speed is the total distance travelled per time. It indicates how fast an object is moving.

Average speed = total distance / total time

The first step is to determine the time it would take Aidan to drive to school :

Time = distance / speed

16 / 40 = 2/5 hours = 2/5 x 60 = 24 minutes

The second step is to determine the time it would take Aidan to drive from school

Time it would take to drive home from school = 60 minutes - 24 minutes = 36 minutes = 36/60 = 3/5 hours

Aidan's average speed to drive home = 16 miles ÷ 3/5

16 x 5/3 = 80 / 3 = 26 2/3 miles per hour

To learn more about average speed, please check: https://brainly.com/question/21734785

#SPJ1

Answer:

answer is 27 B, on edge.

Step-by-step explanation:

Other Questions
Will give brainliest!! Please help!!Brian is playing a game with the spinner shown below. Each section is the same size.What is the probability that the arrow will land on a number that is divided by 3 if Brian spins it one time?. 1 point5) The cost for movie tickets for 10 students was $90. The principal of theschool offered to buy 4 tickets. How much would the principal have topay? Recently, the government announced that it would discontinue the production of a particular military aircraft. How will this decision affect the circular flow model?. what is kinetics force Madeline sold 200 tickets for a charter flight to Dallas. Some paid $200 for their tickets and some paid$250. Madeline's revenue for the flight was $44,000. Below is Madeline's work in determining howmany of each ticket was sold.x = number of $200 ticketsy = number of $250 tickets200 (200 - 1) + 250y = 44,00040.000 - + 250y = 44.00040.000 + 249 y = 44.000249v = 4.000200x + 250y = 44.000X = 200)y' = 16.173 Part AAs Madeline was writing "y = 16.1," she realized her answer was not correct. How didshe know? what is the answer? x+y=15 -2x+5y=-2 l es (estudiante / trabajador / un )(a) un estudiante trabajador(b) un trabajador estudiante(c) trabajador estudiante un Which federal administration created the cattle slaughter program, which helped farmers struggling to sell livestockwhile also helping to feed many Americans?a. the Agricultural Surplus Administrationb. the Farm Aid AdministrationC. the National Livestock Surplus Councild. the Drought Relief ServicePlease select the best answer from the choices providedABcD What is one lasting result of the Spanish colonization of Latin America?o Most people in Latin America still belong to the Roman Catholic Church.o The encomienda system is still thriving in many Latin American countries.o Spain still controls most of Latin America.o Slavery and murder are still legal in most Latin American countries. why it is considered inhumane or inappropriate to execute certain groups ofpeople. approximately 72 billion liters of milk are produced each year in the united states, from 8 million cows. on average, a single cow consumes 13,500 kg of corn feed each year. it requires 40 mj to produce a kilogram of corn feed, which contains 20 mj of energy. there are 15 mj of energy in a single liter of milk. Which statement best describes the Mauryan Empires standing army under Aokas rule?It relied on citizen volunteers.It weakened the emperors power.It limited trade with other countries.It protected the empire from invasion. How many solutions for 3(2x+5)-6x=40 Suppose lines EF and GH are reflected over the line y = x to form the lines JK and LM. Which statement would be true about the lines?A.Line JK and line LM will be parallel.B.Line JK and line LM will be perpendicular.C.The slope of line JK will be the same as the slope of line EF.D.The slope of line LM will be the negative reciprocal of the slope of line GH. Is STICK OUT an idiom? What level do you have to be to privite messege people Evaluate the following function for x = 4: h(x) = 7x + 15. Lucy has 27 coins that are either dimes or quarters. She has a total of $4.95. What set of equations could be used to find the number of dimes and quarters that Lucy has?0.10D+0.25Q = 4.95D+Q=270.25D+0.10Q = 4.95D+Q=270.10D+0.25Q = 27D+Q=4.9510D+25Q =27D+Q=495 can anyone solve 84=4(1 - 4g) step by step? Whats The Answer Marking Brainliest, Please explain your answer:D....