Mathematics High School

You roll two die. What is the probability you will roll a 4, then roll a number less than 3?
A) 1/36
B) 1/9
C) 1/6
D) 1/18

Answers

Answer 1

Answer:

B 1/9

Step-by-step explanation:

Because there are 6 sides of a die then your adding 3 to the 6

I think. (please dont hate me if im wrong!!)

Answer 2

The probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18

What is the chain rule in probability for two events?

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]

Which pair of events are called independent events?

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

For this case, let we define two events:
A = event of rolling a 4 in first rollB = event of rolling a number less than 3 in second roll

Then A and B are independent as their outcomes are not directly related or prone to affect each other assumingly.

Thus, probability of rolling a 4, then rolling a number less than 3 is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Total number of outcomes for any roll = n(S) = 6

Favorable number of outcomes for event A = n(A) = 1 (since a 4 can occur in 1 way out of 6 results)

Thus, P(A) = n(A)/n(S) = 1/6

And, favorable number of outcomes for event B = n(B) = 2 (since numbers less than 3 are only 1 and 2, so two outcomes possible)

Thus, P(B) = n(B)/n(S) = 2/6

Hence, probability of rolling a 4, then rolling a number less than 3 is:

[tex]P(A \cap B) = P(A)P(B) = \dfrac{1}{6} \times \dfrac{2}{6} = \dfrac{2}{36} = \dfrac{1}{18}[/tex]

Therefore, the probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18

Learn more about probability here:

brainly.com/question/1210781

Related Questions

What is y=6/5x+4/5 perpendicular

Answers

Answer:

y=-6/5x

Step-by-step explanation:

Solve the Inequality
9w-4w+6≥1+5w

Answers

Answer: All real numbers :)

If the line y = x is flipped over the x axis and made flatter by a factor of 1/2 , write the equation of the new line .
PLEASE HELP

Answers

if the line is flipped you know what to do flip it over

the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?​

Answers

Answer:

ratio 4x:3x

total= 7x parts = 35(given)

x= 35/7 =5

boys = 4x = 20

girls = 3x = 15

The number of boys are more by 20-15 = 5.

Step-by-step explanation:

Answer:

20 boys 20:15

Step-by-step explanation:

helpful??

distance between -5.4 and -3.8

Answers

Answer:

1.6

Step-by-step explanation:

In order to find the distance all you need to do is subtract the two numbers

so you would:

-5.4-(-3.8)=-1.6 or 1.6 since distance is not negative number.

A interesting fact to note is when you are subtracting negatives you can also just add the number as a positive

Ex.

5 - (-2) =7

5+2=7

Question 1 of 5 ? Marissa is throwing a ball across a 36-yard field. She threw it 3 of the way across the field. How far did Marissa throw the ball? ​

Answers

Answer:

12

Step-by-step explanation3%36

Plz help I’m getting timed

Answers

100*4/5



Hope all is well

I need help!!! Question: Elena has a pet parakeet the weighs 6 when measured in one unit and 170 when measured in a different unit.Which measurement is in ounces and which is in grams?

Answers

6 is grams and the other is ounce.

A gram is smaller than an ounce

Answer:

6 ounces equals to 170 grams

Step-by-step explanation:

I need help I’m being timed

Answers

I think it’s may be A, -(square root) X+2,-3 3down and 2 left

If △ABC∼△DEC, find the values of x and y.
(giving brainliest to the correct answer)

Answers

Answer:

Where are the answer choice?

what is the function rule for the transformed with vertical stretch by a factor of 2 and translated down 6

Answers

Answer: Thus, the equation of a function stretched vertically by a factor of 2 and then shifted 3 units up is y = 2f (x) + 6, and the equation of a function stretched horizontally by a factor of 2 and then shifted 6 units left is y = f ( (x - 6)) = f ( x - ). Example: f (x) = 2x2.

Step-by-step explanation:

I will make you brainliest if correct. explain how you got it please

Answers

Answer:

Perpendicular

Step-by-step explanation:

Slope of l1=6\9 = 2\3

Slope of l2 =-3\2

perpendicular lines

Answer:

perpendicular

Step-by-step explanation:

l1 slope= 2/3

l2 slope= 3/2

What is the area of this figure?
4 yd
2 yd
2 yd
2 yd
5 yd
5 yd
2 yd
6 yd

Answers

Answer:

4+8+10+6=28

Step-by-step explanation:

asap please and thank you

Answers

Answer:

        x = 16 degrees

Step-by-step explanation:

1 and 3 are vertical angles so m∠1 = m∠3

(4x - 2)° = 62°

4x - 2 = 62

4x = 64

x = 16

. The table lists the number of students from Windy Brook Middle School at the state fair. What is the ratio of sixth graders to the total number of students at the fair?

Answers

Answer:im so sorry these people wasted your time hun Answer:

2 : 9

Step-by-step explanation:

First find the total number

6+4+5+3 = 18

6th graders : total

4 : 18

Divide each side by 2

4/2: 18/2

2 : 9

there ya go!

8. Solve the equation.
25 - 3x = 40
a.x=5
b.x=1
C. X=-1
d. x= 10
Help !

Answers

I got that x equaled -5? Sorry it seems like none of those are your answer choices.

The graph for the equation Y= 2X+4 is shown below.
If another equation is graphed so that the system has one solution, which equation could that be?
Oy= 2x-4
Oy=2(x+ 2)
Oy=2(x-4)
Oy=x+4

Answers

To have only one solution the two lines must have different slopes, then the correct option is:

y = x + 4.

Which equation could it be?

We want our system to have exactly one solution, so the two lines must have different slopes.

The already graphed line s:

y = 2x + 4

Notice that the slope is 2, then we need to select the option with an slope different than 2, which is the last option:

y = x + 4

If we graph that line, the system will have only one solution.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

2x -14 = -9 answer for this equation

Answers

Answer:the exact form is x=5/2 if its wrong then its probably wrote in a different way

Step-by-step explanation: Move all terms that don't contain  

x

to the right side and solve.

Answer:

x= 2.5

Step-by-step explanation:

Simplifying

2x + -14 = -9

Reorder the terms:

-14 + 2x = -9

Solving

-14 + 2x = -9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.

-14 + 14 + 2x = -9 + 14

Combine like terms: -14 + 14 = 0

0 + 2x = -9 + 14

2x = -9 + 14

Combine like terms: -9 + 14 = 5

2x = 5

Divide each side by '2'.

x = 2.5

Simplifying

x = 2.5

A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile? The side lengths of the tile are ___Inches and ___ Inches.

Answers

Answer:

The side lengths of the tile are 8 Inches and 10.5 Inches.

Step-by-step explanation:

Perimeter of a parallelogram = 2(a + b)

Let

a = shorter side

b = longer side

b = a + 2.5 inches

The perimeter of each tile is 37 inches

Perimeter of a parallelogram = 2(a + b)

37 = 2{a + (a + 2.5)}

37 = 2{a + a + 2.5}

37 = 2(2a + 2.5)

37 = 4a + 5

37 - 5 = 4a

32 = 4a

Divide both sides by 4

a = 32/4

= 8

a = 8 inches

b = a + 2.5 inches

= 8 + 2.5

= 10.5 inches

b = 10.5 inches

The side lengths of the tile are 8 Inches and 10.5 Inches.

How many buses do you need for 650 people if each bus holds 100 people?

Answers

Answer:

we would need 7

Step-by-step explanation:

because if each bus hold 100 and there is 650 we would need 7 buses

because we well have 6 fill bus and 1 half full bus

Answer:

7

Step-by-step explanation:

100/7 u would only ned the 7 and not the 100

pls help will give brainliest

Answers

A) (6,0)

Since the points of R are found after x = 0 and x = 2, and found before x = 8, the value for x cannot start with those numbers so it would have to be either 4 or 6.

The rhombus is a square but more like a diamond shape with all equal sides. So if the difference between Q & T is (2,4), then you would have to go backwards by the same amount from (8,4)

So mathematically speaking...

(8,4) - (2,4) = (6,0)

Two numbers are in a ration of 3:7, the larger exceeds the smaller by 12.
What is the larger number?

Answers

7 because that’s just the right answer duhhhhhhh

Help Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: thats a tuff one

Step-by-step explanation:

im not sure

The answer is D 8g to the power of 6 h to the power of 4 k to the power of 12-h to the power of 25 k to the power of 15

Triangle JKL is fromed by plotting three points. What is the leanth of sides JK?
j(1 , 5) k(1, 9)
answers > 6 3 5 2​

Answers

Solution:-J (1,5)K (1,9)

[tex]\LARGE\leadsto\sf JK=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\LARGE\leadsto\sf \sqrt {(1-1)^2+(9-5)^2}[/tex]

[tex]\LARGE\leadsto\sf \sqrt {(0)^2+(4)^2}[/tex]

[tex]\LARGE\leadsto\sf \sqrt {0+16}[/tex]

[tex]\LARGE\leadsto\sf \sqrt {16}[/tex]

[tex]\LARGE\leadsto\sf JK=4units [/tex]

Expand and simplify
(3x + 2)(x - 1)​

Answers

I’m pretty sure the answer is 3x^2 - x - 2

Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce? Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce?

Answers

Answer:

54 years

Step-by-step explanation:

Joyce age = x

Alex age = y

3x = 2y - - - (1)

y - 9 = 2(x - 9)

y - 9 = 2x - 18

-9 + 18 = 2x - y

9 = 2x - y

y = 2x - 9 - - (2)

3x = 2y

3x = 2(2x - 9)

3x = 4x - 18

18 = 4x - 3x

18 = x

Hence,

Mrs stone is 3 * 18 = 54 years

Brice has 400 toy cars. Of the toy cars, 15% are red, 40% are green, and the rest are multicolor.
How many toy cars are multicolor?
O 160
O 60
O 180
100

Answers

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

15 + 40 = 55, so 55% of the toy cars are not multicolor.

100 - 55 = 45 so 45% of the toy cars ARE multicolor.

To find what 45% of 400 is, we multiply 400 by 0.45

400*0.45 = 180 so there are 180 multicolor cars.

Which graph best represents a system of equations that has no solution?

Answers

Answer:

D, because parallel lines never have a solution.

Step-by-step explanation:

The graphs which show no solution is required.

Option D has no solution.

When a system of linear equations have a solution means that the lines intersect each.

This means for a given [tex]x[/tex] value of both equations there exists the same [tex]y[/tex] value.

Options A, B and C all have lines that intersect each other at some point.

In option D the lines are parallel to each other.

So, option D has no solution.

Learn more:

https://brainly.com/question/15721976?referrer=searchResults

I dont understand this question 2/5÷9/4 is the same as which of the following?​

Answers

Answer:

Step-by-step explanation:

You didn't list anything to choose from.

2/5÷9/4 When you have a division and fraction after it, change the sign to multiplication and flip the fraction.

2/5 * 4/9

8/45

pls help will mark brainliest

Answers

Step-by-step explanation:

it is proportional

Answer:

Not poportional.

Step-by-step explanation:

Beacsue the numbers doesn't have a constant rate of change.

Other Questions
Two planes take off from the same airport at approximately the same time. Plane A has an airspeed of 600 mphand travels in the direction S 20 W. Plane B has an airspeed of 450 mph and travels in the direction N 35 E.Which diagram represents the distance, x, between the planes? PLEASE HELP ME !Qu te gusta hacer? --A mi ________.A). me gusta leer un libro.B).me gusta descansar.C). te gusta dibujar.D). le gusta preparar la comida. Which sentence BEST summarizes paragraph 4? in A Touch of Glassby Mia SotoAs a result of this new technique, glass objects of many sizes and shapes could be made quickly. Ordinary people, not just the very rich, could now purchase glass. Early glassmakers figured out how to make colored glass by adding different ingredients. They learned how to make beautiful cameos. To make a cameo, the glassmaker encloses a glass object in layers of colored glass, and then cuts designs into the layers. Cameo glass was made all over the Roman Empire, as well as in China. The Roman Empire encouraged the production of beautiful and functional glass objects. A. All of the glassmakers in Venice were sent to the island of Murano to make Cameo glass. B. The many properties of glass make it a unique commodity that was available to just the very rich. C. The Roman Empire developed the technique of glassblowing and perfected its production in Venice. D. Early glassmakers were able to use the glassblowing technique to design and create beautiful glass at a more reasonable price. What is the equation of the line in slope-intercept form? 8) On April 19, 1775 the American Revolution began with fighting in which colony?a) Virginiab) Massachusettsc) New Yorkd) Pennsylvania which function represents the relationship between x and y when y=16/5 and x=20 6.What is the function of concrete detail in the Narrative of the Life ofFrederick Douglass, an American Slave?7. Do you think that objectivity is always preferable to subjectivity? Given a balanced chemical equation it is always possible to determineA)the physical state of the products and reactantsB)whether a reaction will or will not take placeC)the relative number of moles taking part in the reactionD)the conditions necessary for the reaction to take place ANSWER QUICK!! In chapter 11 (of the outsiders), what are both Pony and Randy worried about?A. people keep talking about Bob and Johnny at schoolB. they have missed to many classes at school to graduate C. they smoke in bed, and thats dangerous D. theyve disappointed the people who love them There are 2 answers for this(Please use a comma to separate them) Emma got 90% of the questions on her history test correct if she answered 27 questions correctly, how many questions did Emma get wrong? There were (A) questions on the test so she got (B) questions wrong What makes something a compound microscope Please help, thank you if you do Write an equation to describe this situation using decimals. Tessa bought x pounds of almonds. Lark (y) bought more than that. PLEASE HELP! I know I put An answer I dont know if thats it I just accidentally put it I got the answer wrong on the test, although, I am confused if my teacher made a mistake or am I actually incorrect. Can you help me please is this right look at both screenshots40 points Aiden is thinking of a career as a landscaper. He decides to take some classes offered by the local garden club so he can learn more about plants and flowers. What will be the opportunity cost associatedwith taking the classes?A) the number of hours Aiden wil spend in classB)what Aiden gives up in order to attend classC)the dollar value of the classesD)the income Aiden will earn In a certain Algebra 2 class of 21 students, 6 of them play basketball and 10 of them play baseball. There are 7 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball? Which two cell types in placozoans make up the endoderm tissue layer?A)cover cells and cylinder cellsB)gland cells and cover cellsC)fiber cells and cover cellsD)gland cells and cylinder cells ASAP?!!!!!!!!!!!!IMAGE IS ATTACHEDWhat is the genotype ratio for this cross?What is the phenotype ratio for this cross?