A single die is rolled twice. Find the probability of rolling an odd
number the first time and a number greater than 4 the second time.

Answers

Answer 1

Step-by-step explanation and answer:

The 6 sides of the die are numbered 1,2,3,4,5,6

There are 3 odd and 3 even numbers

probability of an odd number on 1st roll is:

3/6=1/2

When you want A AND B probabilities, you multiply

the events A and B

The number less than 3 are 1,2, so the probability is:

2/6=1/3

so the probability of both events are going to be:

(1/2) *(1/3)=1/6


Related Questions

Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

FGH and m FGH =(7x-9)
m HGJ = (2x + 36)
Find m FGH

X = 14
7x16 112

2x16 32+36 68
68+112= 180

The answer is x = 16

Give brainest pls

will give brainliest
I don't understand algebra 2!!! at all idk why

break it down please help ​

Answers

Answer:

1/5... 1 on top 5 on bottom

Step-by-step explanation:

sub in the values:

[tex]\frac{5+y}{6x}[/tex] will now be [tex]\frac{5+7}{6(10)}[/tex]

now add:

[tex]\frac{12}{60}[/tex]

simplify:

1/5

Can anyone help me with this plzz?

Answers

Answer:   12pi

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

Explanation:

Check out figure 1 in the attached images below. In this figure, I've plotted the function y = 6/(2x-3) on a 2D grid system. The function curve is in blue. Then I've plotted (2,0) and (3,0) on the x axis. Point A is somewhere between those endpoints. Point A is also on the x axis. Directly above A is point B such that B is on the blue function curve.

The distance from A to B is found by subtracting the y values of each point.

The y coordinate of A is y = 0. The y coordinate of B is y = 6/(2x-3)

Therefore, the distance from A to B is 6/(2x-3) units. This will form the radius of each cylindrical slice as figure 2 shows. Note the color coding to help see how the 2D view corresponds to the 3D view. The xy plane has been laid flat on the floor. So we're viewing the function curve at a downward angle now. Each of those gray cylinders combine to form an approximate 3D volume. The more cylinders we have, and the finer the cuts, the more accurate the total volume.

So it comes down to finding the volume of each cylindrical slice and adding up the volumes. This is effectively what integral calculus is all about.

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

Since the radius of each cylinder is y = 6/(2x-3), this means r = 6/(2x-3) is plugged into the formula

V = pi*r^2*h

which is the volume of a cylinder formula

The height of each cylinder is delta x, which we'll use dx for short. So this is where the dx comes from in integrals.

This is what the integral will look like

[tex]\displaystyle V = \int_{2}^{3} \pi*\left(\frac{6}{2x-3}\right)^2dx[/tex]

which turns into

[tex]\displaystyle V = 36\pi\int_{2}^{3}\frac{1}{(2x-3)^2}dx[/tex]

after a bit of algebra. We're able to factor the 36pi out because it's a constant

From here we use u-substitution. Let u = 2x-3

This leads to du/dx = 2 which can be solved to dx = du/2

Since u = 2x-3, the lower endpoint x = 2 leads to

u = 2x-3 = 2*2-3 = 1

and x = 3 leads to

u = 2x-3 = 2*3-3 = 3

So the interval 2 < x < 3 turns into 1 < u < 3

After using u-sub, making the proper replacements, and integrating, we get

[tex]\displaystyle V = 36\pi\int_{2}^{3}\frac{1}{(2x-3)^2}dx\\\\\\\displaystyle V = 36\pi\int_{1}^{3}\frac{1}{u^2}\frac{du}{2}\\\\\\\displaystyle V = 36\pi*\frac{1}{2}\int_{1}^{3}\frac{1}{u^2}du\\\\\\\displaystyle V = 18\pi\int_{1}^{3}u^{-2}du\\\\\\\displaystyle V = 18\pi\left[-u^{-1}+C\right]_{1}^{3}\\\\\\\displaystyle V = 18\pi\left[-\frac{1}{u}+C\right]_{1}^{3}\\\\\\[/tex]

Let's evaluate that to get the following

[tex]\displaystyle V = 18\pi\left[-\frac{1}{u}+C\right]_{1}^{3}\\\\\\\displaystyle V = 18\pi\left[\left(-\frac{1}{3}+C\right)-\left(-\frac{1}{1}+C\right)\right]\\\\\\\displaystyle V = 18\pi\left(-\frac{1}{3}+1\right)\\\\\\\displaystyle V = 18\pi\left(\frac{2}{3}\right)\\\\\\\displaystyle V = 12\pi\\\\\\[/tex]

So the 3D volume formed by rotating that region (under the curve from x = 2 to x = 3) is exactly 12pi cubic units

A cuboid with a volume of 925cm^3 has dimensions.
4cm, (x + 1) cm and (x + 11) cm.
Show clearly that x^2 + 12x - 220 = 0
Solve the equation by factorising, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.

Answers

Answer:

Step-by-step explanation:

Volume of the cuboid = Length * Width * Height

Given

Length = 4cm

Width = (x+1)cm

Height = (x-11)cm

Volume of the cuboid = 4(x+1)(x+11)

Volume of the cuboid = 4(x^2+11x+x+11)

Volume of the cuboid = 4(x^2+12x+11)

Volume of the cuboid = 4x*2+48x+44

925 = 4x*2+48x+44

4x*2+48x+44-925 = 0

4x*2+48x-881 = 0

Divide through by 4

x^2 + 12x - 220.25 = 0

Factorize using the general formula;

x = -12±√12²-4(-220.25)/2

x = -12±√144+881/2

x = -12±√1025/2

x = -12±32/2

x = 12+32/2

x = 20/2

x = 10

Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm

Dimension is 4cm by 11cm by 21cm

How can you tell if it’s linear?also say if it’s yes or no

Answers

Answer:

A is yes, but the rest is no

Step-by-step explanation:

You can tell if it’s linear if when the points are plotted, the x and y values create a straight line up or down.

write 9.68 in expanded form

Answers

Answer:

9+0.6+0.08

Step-by-step explanation:

The given decimal number in expanded form is 9+0.6+0.08.

The given decimal number is 9.68.

What is expanded from of a decimal number?

Unlike whole numbers, decimal numbers can also be written in the expanded form. For writing the decimals in expanded form, we multiply each of the decimal digits with increasing exponent values of (1/10).

Now, the expanded form of 9.68 is

9×1 + 6×1/10 + 8×1/100

= 9+0.6+0.08

= 9.68

Therefore, the given decimal number in expanded form is 9+0.6+0.08.

To learn more about the expanded form of a decimal numbers visit:

https://brainly.com/question/145272.

#SPJ2

i need help asap !!!

Answers

It’s -15/28...................

Answer:-15/28

Step-by-step explanation:

2/1*x5/7x-3/8=-30/56 ÷2=-15/28

if the cost of 8 mobile set is rs 40,000.how many mobile sets can be purchased for Rs 100,000​

Answers

Answer:

20 mobile sets.

Step-by-step explanation:

Every mobile set costs:

40000 / 8

= 5000 Rs.

Therefore, for 100,000 Rs, the number of mobile sets that can be purchased is:

100,000 / 5000

= 20 mobile sets.

Hope this helped!

The points in each table lie on a line. Find the slope of the line.

O 1/2
O 1
O 2
O None of the above

Answers

Answer:

1

Step-by-step explanation:

Given table:

     x      -1    1   3   5

     y      -2   0   2  4

Unknown:

Slope of the line  = ?

Solution:

Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;

  Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]  

 let us take;

x₁ = -1        x₂ = 3

y₁ = -2        y₂ = 2

Insert the parameters and solve;

   Slope = [tex]\frac{2 - (-2)}{3- (-1)}[/tex]   = [tex]\frac{4}{4}[/tex]   = 1

The slope of the line is 1

Use the elimination method to solve the system of equations. Choose the correct ordered pair. 2y = x + 2 x - 3y= -5 O A. (2, 2) O B. (4,3) O C. (6,4) O D. (8,5)​

Answers

Answer:

(4,3)

Step-by-step explanation:

2y = x + 2

x - 3y = -5

Rearrange the second equation to equal y.

x - 3y = -5

x + 5 = 3y

(x+5)/3 = y

Substitute into the first equation.

2y = x +2

2[(x+5)/3] = x + 2

(2x + 10)/3 = x + 2

2x + 10 = 3(x + 2)

2x + 10 = 3x + 6

10 - 6 = 3x - 2x

4 = x

Therefore, the correct ordered pair is (4,3) since x is equal to 4.

Which of the following is equivalent to 5x − 6y  =  8?

A. y = -5/6x
B. y = 6/5x + 2
C. y = 5/6x - 4/3
D. y = 8/11x​

Answers

Answer:

b

Step-by-step explanation:

Answer is B. Y=6/5+2

The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed, , be measured in feet per second.

Write an equation to represent the relationship between the three quantities (speed, distance, and time).

Answers

speed =  [tex]\frac{distance}{time}[/tex]

speed = [tex]\frac{100}{2.5}[/tex]

speed = 40 feet per second

1)
Which number is NOT in the solution set of x + 8 > 15?
A)
6
B)
8
C)
10
D)
12

Answers

Answer:

A) 6

Step-by-step explanation:

x + 8 > 15

x > 15 - 8

x > 7

8, 10, and 12 are all greater than 7. 6 is NOT

Answer: is A because 6+8=14 when the rest of the choices are bigger then 15

How many solutions exist for the system of equations in the graph?

one
two
three
four

Answers

Answer:

2 solutions

Step-by-step explanation:

The solutions are found at the points where the 2 graphs intersect.

From the graph there are 2 points of intersection, thus 2 solutions.

A health insurance policy requires that each
person covered pay the first $300 of a bill and
then 0.2 times the rest of the bill. Fran is
covered by this policy and had to pay $500.
What was her total bill?

Answers

she has to pay 340 dollars

How many solutions exist for the given equation? (x + 12) = 4x - 1 o zero infinitely many ​

Answers

Time of the 20 to the x then get 420

Prasitha has two buildings A and B. A is 10 feet shorter than the twice the height of B. The distance between the buildings is 120 feet and the height of B is 60 feet. Find the distance between their tops.

Answers

Answer:

The distance between their tops is 130 feet

Step-by-step explanation:

The given parameters are;

The height of A, [tex]h_A[/tex] = 2 × The height of B - 10

The distance between the two buildings, d = 120 feet

The height of B, [tex]h_B[/tex] = 60 feet

Therefore, we have;

The height of A, [tex]h_A[/tex]  = 2 × The height of B - 10 = 2 × 60 - 10 = 110 feet

The height of A, [tex]h_A[/tex] = 110 feet

By Pythagoras theorem, the distance between their tops = √(([tex]h_A[/tex] - [tex]h_B[/tex])² + d²)

Substituting the values gives;

The distance between their tops = √((110 - 60)² + 120²) = 130

The distance between their tops = 130 feet.

What's 6+2x^2 in factored form?

Answers

Answer:

2 ( x^2 + 3 )

Step-by-step explanation:

What is the point slope form of a line that has a slope of 3 and passes through point (1, 4)?

Answers

Answer:

3x - y = -1

Step-by-step explanation:

y - y₁ = m(x - x₁)

substitute (1,4) in for (x₁, y₁) respectively and the slope of 3 in for m

y -4 = 3(x - 1)

distribute 3 to (x - 1)

y - 4 = 3x -3

isolate 3x by itself by adding 3 to both sides

y - 1 = 3x

subtract y from each side

-1 = 3x - y

and just flip around the equation to make it look nicer

3x - y = -1

A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.

Answers

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

The required equation will be in the form y = Ae^kt

where:

k is the growth constantA represents the number of students in High School A in t years.B represents the number of students in High School B after t years.

If High School A currently has 850 students and is projected to grow by 35 students each year, hence;

A = 850k = 35 (growth factor)

Substituting into the formula, we will have:

y = 850e^35t

If High School B currently has 700 students and is projected to grow by 60 students each year, hence;

A = 700k = 60 (growth factor)

Substituting into the formula, we will have:

y = 700e^70t

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

Learn more on exponential function here: https://brainly.com/question/12940982

Multiple Choice An equation of the line
whose slope is – 6 and whose y-intercept is 9
is ? ?
A y = -9x – 6 ( B y = 9x – 6
c) y = -6x - 9 D y = 6x - 9
E y = -6x + 9

Answers

Answer: answer is E

Step-by-step explanation: because it slope is -6(x) and intercept is (+)9

If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be added to “complete the square”

Answers

Oksuru   k diyaf         ramincok ani kasilm asiyla olusan bir refle kstir.

___________ is the measure of the value of a section of the stock market and is computed from the price of selected stocks.​

Answers

Answer:

stock index

Step-by-step explanation:

Answer:

stock index is the measure of the value of a section of the stock market and is computed from the price of selected stocks.​    (Please mark me brainliest)

Step-by-step explanation:

Kiran's family is having people over to watch a football game. They plan to serve sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3 ounces of pretzels per person. Including Kiran's family, there will be 10 people at the gathering.
A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels contains 16 ounces and costs $2.99. Let LaTeX: nn represent number of people watching the football game, LaTeX: ss represent the ounces of sparkling water, LaTeX: pp represent the ounces of pretzels, and LaTeX: bb represent Kiran's budget in dollars. Which equation best represents Kiran's budget?

Answers

The answer to your question is 16$ and 50 cents

Simplify.

Rewrite the expression in the form 4^x.

4^4 x 4^3 = ??

Answers

Answer:

[tex]4^{7}[/tex]

Step-by-step explanation:

To simplify the expression [tex]4^{4}\times4^{3}[/tex], we can use the first law of the law of indices which states that the exponent is added together when multiplying numbers with the same base. Eg: [tex]a^{x}\times a^{y} = a^{x+y}[/tex].

[tex]4^4 \times4^3=4^{4+3}[/tex]

[tex]=4^{7}[/tex]

Hope this helps :)

D=
R=
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.

Answers

Answer:

Step-by-step explanation:

D = { - 4 , 0 , 2 , 7 }

R = { - 8 , - 1 , 3 }

Yes the relation is a function.

Answer this question and get it right I will mark right one Brainliest
I am thinking of a number from 1-10 what is it ?

Answers

Answer:

6

Step-by-step explanation:

6 is the most common lol

Answer:

I'll say 5

Step-by-step explanation:

Hoped this helped!

Solve each system by graphing or using a table. Check your answers.
- 2x + y = 2
- x + 2y = -2
Use the graphing tool to graph the system.
Click to
enlarge
graph
What is the solution to the system of equations? Select the correct choice below and, if necessary, fill in the
answer box to complete your choice.
O A. The solution is
(Type an ordered pair.)
B. There are infinitely many solutions.
OC. There is no solution.

Answers

Answer: no solution

Solve for the missing arc measure, angle measure, or variable.

m < C is how many degrees??

Pls help! I’ll give brainliest!

Answers

Answer:

m<C I believe is 25 degrees

Step-by-step explanation:

Answer:

the answer is 25 degrees

Is the relation in the mapping below a function? Explain.
Domain
1,3,5,7
Range
2,4,6

Answers

Answer: No

Step-by-step explanation:

The range and the Domain aren’t equal

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