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:

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Related Questions

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]

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:

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.

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

Answers

Answer:

Where are the answer choice?

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

I need help I’m being timed

Answers

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

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

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

Expand and simplify
(3x + 2)(x - 1)​

Answers

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

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:

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??

Solve the Inequality
9w-4w+6≥1+5w

Answers

Answer: All real numbers :)

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.

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

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

Plz help I’m getting timed

Answers

100*4/5



Hope all is well

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

Answers

Answer:

y=-6/5x

Step-by-step explanation:

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

. 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!

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

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

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

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

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:

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.

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.

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

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)

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

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

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