two number cubes are rolled. what is the probability of rolling either a total greater than 9 or a multiple of 5?

Answers

Answer 1

Therefore, the probability of rolling either a total greater than 9 or a multiple of 5 is 17/36.

Let's first find the probability of rolling a total greater than 9. To do this, we can list all the possible outcomes of rolling two number cubes and count the number of outcomes that have a total greater than 9. There are 36 possible outcomes, since each cube can show one of six numbers. Of these outcomes, there are 12 that have a total greater than 9: (4,6), (5,5), (5,6), (6,4), (6,5), and (6,6) on either cube. Therefore, the probability of rolling a total greater than 9 is 12/36 = 1/3.

Next, let's find the probability of rolling a multiple of 5. Again, we can list all the possible outcomes and count the number of outcomes that have a multiple of 5. There are 36 possible outcomes, and 7 of these have a multiple of 5: (1,5), (2,5), (3,5), (4,5), (5,1), (5,2), and (5,3). Therefore, the probability of rolling a multiple of 5 is 7/36.

Now we need to subtract the probability of both events occurring simultaneously. There are two outcomes that satisfy both conditions: (5,5) and (6,4). Therefore, the probability of rolling both a total greater than 9 and a multiple of 5 is 2/36 = 1/18.

To find the probability of rolling either a total greater than 9 or a multiple of 5, we add the probabilities of these events and subtract the probability of both occurring simultaneously:

P(total > 9 or multiple of 5) = P(total > 9) + P(multiple of 5) - P(total > 9 and multiple of 5)

= 1/3 + 7/36 - 1/18

= 12/36 + 7/36 - 2/36

= 17/36

To know more about probability,

https://brainly.com/question/30034780

#SPJ11


Related Questions

What is 43.2 divided by 16?
Use partial quotients to show your work.

Answers

Answer: 43.2 divided by 16 equals two point seven (2.7).

Step-by-step explanation: Look at the TXT file below for proof!

Mark this answer as the "Brainilest" if you get it correct so other people can refer to this!

Answer: 27

HOPE THIS HELPS

y= 24 will this be a vertical or horizontal line?

Answers

It will be a horizontal line

y= 24 will this be a vertical or horizontal line?

Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x?(1 point)
Responses

23−7x−4+11x

14(2x+5+11x)

14(2x+5)+11x

23−18x−45+11x

Answers

The Distributive Property applied on 23−18x−45+11x.

What is Distributive Property?

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

Given:

23−9(2x+5)+11x

According to Distributive Property

a x ( b + c) = a x b + a x c

So, 23−9(2x+5)+11x

= 23- 18x - 45 + 11x

= -22 - 7x

Hence, the Distributive Property applied on 23−18x−45+11x.

Learn more about Distributive Property here:

https://brainly.com/question/5637942

#SPJ1

Which polygon has fewer than five lines of symmetry?

Answers

Answer:

Regular Polygons

Step-by-step explanation:

A plant starts with 1 branch. Every year,
each branch becomes 3 branches. A
sketch of the plant for the first 3 years is
shown. How many branches will the plant
have in year 10?
TYP
I V
Year 1
Year 2
Year 3
How many branches would the plant
have in year 10 if the plant ad
5 branches the first year? (Each branch
still becomes 3 branches every year.

Answers

Answer:

120

Step-by-step explanation:

we go add 3+1=4 and then 4×3=12 and then 12×10=120

The total amount of the food came to $47. 50. But the restaurant also charges 6% sales tax on the total. The server was not great, so you left a 15% tip. How much will they pay at the restaurant’s register, including sales tax and tip?

Answers

The pay at the restaurant’s register, including sales tax and tip will be $ 57.475.

The sales tax amount = 47.50 × 6%

Calculating percentage on Right Hand Side of the equation

The sales tax amount = 2.85

Total amount of bill and sales tax = 47.50 + 2.85

Performing addition on Right Hand Side of the equation

Total amount of bill and sales tax = $50.35

Tip amount = 47.50 × 15%

Performing multiplication on Right Hand Side of the equation

Tip amount = 7.125

Total amount of bill and sales tax = 50.35 + 7.125

Performing addition on Right Hand Side of the equation

Total amount of bill and sales tax = $57.475

Hence, the total pay is $ 57.475.

Learn more about percentage -

https://brainly.com/question/24877689

#SPJ4

Find the common factor in the given algebraic expressions: x(a-b), y (b-a)
Explain please.


Answers

Answer:

the common factor in the given algebraic expressions: x(a-b), y (b-a)

Step-by-step explanation:

(x-y)(a-b)

the region bounded by the given curves is rotated about the specified axis. find the volume of the resulting solid by any method. x = (y − 7)2, x = 16

Answers

The volume of the solid formed by rotating the region bounded by x = (y - 7)^2 and x = 16 about the x-axis can be found using the method of cylindrical shells with the integral ∫(0 to 9) 2πx * (16 - (y - 7)^2) dy.

To find the volume of the solid formed by rotating the region bounded by the curves x = (y - 7)^2 and x = 16 about the x-axis, we can use the method of cylindrical shells. The region is bounded by y = 0 and y = 9, which are the limits of integration.

The height of each cylindrical shell is given by h(x) = 16 - (y - 7)^2. We can express this as h(x) = 16 - (x^(1/2) - 7)^2. Using the formula for volume V = ∫(0 to 9) 2πx * h(x) dx, we integrate this expression with respect to x. Evaluating the integral will give us the volume of the resulting solid.

To know more about cylindrical,

https://brainly.com/question/30981845#

#SPJ11

what is the expected number of sixes appearing on three die rolls

Answers

To find the expected number of sixes appearing on three die rolls, we can calculate the probability of rolling a six on each individual roll and then multiply it by the number of rolls.

The probability of rolling a six on a single roll of a fair die is 1/6, since there are six equally likely outcomes (numbers 1 to 6) and only one of them is a six.

Since the rolls are independent events, we can multiply the probabilities together to find the probability of rolling a six on all three rolls:

(1/6) * (1/6) * (1/6) = 1/216

Therefore, the probability of rolling a six on all three rolls is 1/216.

To find the expected number of sixes, we multiply the probability by the number of rolls:

Expected number of sixes = (1/216) * 3 = 1/72

So, the expected number of sixes appearing on three die rolls is 1/72.

To know more about probability click here: brainly.com/question/31828911

#SPJ11


1. Two containers are being filled with water. One begins with 10 gallons of water and is filled at a rate of 2.5 gallons per minute. The other begins with 24 gallons and is filed at 2.25 gallons per
minute.

Part A: Write an equation that represents the amount of water w, in gallons, with respect to time t, in minutes, for each container

Part B: Solve the system of equations. Show your work

Part C: How long would it take for both of the containers to have the same amount of water? How much water would be in each container?

Answers

Answer: PART A:

w-3.5 t=8

w-3.25t=24

PART B:

t=64

and w= 232

PART C:

It will take 64 minutes for both of the containers to have the same amount of water.

The amount of water in each container is:

232 gallons.

Step-by-step explanation:

PART A:

Let the water is filling in 't' minutes.

and 'w' denotes the amount of water in the container.

for container 1:

One begins with 8 gallons of water and is filled at a rate of 3.5 gallons per minute.

The equation is given by:

or

for container 2:

The other begins with 24 gallons and is filled at 3.25 gallons per minute.

The equation is given by:

or

PART B:

on solving equation (1) and equation (2) by method of elimination we get:

subtract equation (2) by equation (1) to obtain:

t=64

and  putting the value of t in equation (1) to obtain:

w= 232

PART C:

Hence it will take 64 minutes for both of the containers to have the same amount of water.

The amount of water in each container is:

232 gallons.

Step-by-step explanation:

What are the solutions of the equation? y=-7(x-3)(x+4)

Answers

Answer: y=−7x^2−7x+84

Step-by-step explanation: Hope this help :D

Wyatt is paying back a loan with a nominal interest rate of 13.62%. if the interest is compounded quarterly, how much greater is wyatt’s effective interest rate than his nominal interest rate?
a. 0.96 percentage points
b. 0.40 percentage points
c. 0.25 percentage points
d. 0.71 percentage points
please select the best answer from the choices provided a b c d

Answers

0.71 percentage points greater is wyatt’s effective interest rate than his nominal interest rate.

What is intrest?

Interest is a fee paid by a borrower to a lender for the use of borrowed money. It is calculated as a percentage of the amount borrowed, and is usually paid periodically at intervals. Interest is generally considered to be a form of compensation for the time and risk taken by the lender in providing a loan or other form of credit.

The effective interest rate is calculated by taking the (1 + nominal interest rate/number of compounding periods per year) to the number of compounding periods per year power minus 1. In this case, the effective interest rate would be 0.1362 x (1 + 0.1362/4)^4 - 1, which is 0.1439 or 14.39%. The difference between the nominal interest rate of 13.62% and the effective interest rate of 14.39% is 0.71 percentage points.

To know more about intrest click-
https://brainly.com/question/16134508
#SPJ1

Please help !!! It’s emergency


Given the quadratic equation ax^2 + bx +c, complete the square to derive the quadratic formula

Answers

Answer:

The derivation of this formula can be outlined as follows: Divide both sides of the equation ax2 + bx + c = 0 by a. Transpose the quantity c/a to the right side of the equation. Complete the square by adding b2 / 4a2 to both sides of the equation.

Answer:

in photo

Step-by-step explanation:

Please help !!! Its emergency Given the quadratic equation ax^2 + bx +c, complete the square to derive

find the coordinates of the intersection of the diagonals of ABCD with the given vertices
A(3,6) B(5,8) C(3,-2) and D(1,-4)

Answers

The coordinate from point of intersection is (3, 11)

What is the coordinate of the intersecting diagonals

To find the intersection point of the diagonals of ABCD, we need to find the point where the lines containing the diagonals intersect.

The diagonal connecting A and C has slope:

m₁ = (y₂ - y₁) / (x₂ - x₁)

= (-2 - 6) / (3 - 3)

= undefined

This is because the line is vertical, and so has no slope. However, we can still write an equation for this line using the x-coordinate of point C:

x = 3

The diagonal connecting B and D has slope:

m₂ = (y₂ - y₁) / (x₂ - x₁)

= (-4 - 8) / (1 - 5)

= -3/2

We can write an equation for this line using point-slope form and the coordinates of point B:

y - y₁ = m₂(x - x₁)

y - 8 = (-3/2)(x - 5)

y - 8 = (-3/2)x + 15/2

y = (-3/2)x + 31/2

Now we can find the point of intersection by solving the system of equations given by the two lines:

x = 3

y = (-3/2)x + 31/2

Substituting x = 3 into the second equation, we get:

y = (-3/2)(3) + 31/2

y = 22/2

y = 11

The coordinate is (3, 11)

Learn more on vertices here;

https://brainly.com/question/7644338

#SPJ1

How many different committees of six people can be selected from nine people?

Answers

ANSWER

\(84\)

EXPLANATION

To find the number of committees of six people that can be selected from nine people, we apply Combination:

\(^nC_r=\frac{n!}{(n-r)!r!}\)

Therefore, we have:

\(\begin{gathered} ^9C_6=\frac{9!}{(9-6)!6!} \\ \Rightarrow\frac{9\cdot8\cdot7\cdot6!}{3!6!} \\ \Rightarrow\frac{9\cdot8\cdot7}{3\cdot2\cdot1} \\ \Rightarrow84 \end{gathered}\)

Hence, there are 84 different ways of selecting.

It takes Santa a total distance of 1800 miles to cover a portion of his
Texas route, he does this in 3 hours, how fast is Santa moving? *
2400 mph
600 mph
350 mph
150 mph
please help!! hurry

Answers

Answer:

the answer is 600mph

Step-by-step explanation:

because 1800miles/3 hours=600mph

Answer:

600 mph

Step-by-step explanation:

In order to find the answer you must solve using this formula:

S=D/T

Where S is speed, D is distance, and T is time

You have time and distance, so you have to plug those into the formula:

S=1800/3

Then all you have to do is divide 1800/3 and get 600 for speed.

**Unit 10: Circles, Homework 6: Arcs & Angle measures**

I need help doing this question (I would really appreciate it):

**Unit 10: Circles, Homework 6: Arcs & Angle measures**I need help doing this question (I would really

Answers

Answer: 5

Step-by-step explanation:

Explanation in image

**Unit 10: Circles, Homework 6: Arcs & Angle measures**I need help doing this question (I would really

The measure of x using the circle property is 5 degree.

Given:

<A = 17x - 23

As, sum of all parts or angles in a circle is equal to 360 degrees

So, 81 + 74 + x = 360

x + 155 = 360

x = 360- 155

x = 205 degree

Now, using the formula

angle A = Far arc- near arc / 2

17x - 23 = (205 - 81) /2

17x - 23 = 62

17x = 62 + 23

17x = 85

Divide both side by 17

x= 5

Thus, the value of x is 5.

Learn more about Arc here:

https://brainly.com/question/31612770

#SPJ6

Solve the quadratic equation 9x ^ 2 - 6x = 11 using the quadratic formula.

Answers

Answer:

x = 1.48803, x= -0.821367

Step-by-step explanation:

9x²-6x=11

9x²-6x-11=0

use quadratic formula: x = [- b ± √b²- 4ac)]÷ 2a

Solve the quadratic equation 9x ^ 2 - 6x = 11 using the quadratic formula.

Answer:

x =1+2{3 over 3

Step-by-step explanation:

Question attached as screenshot below: Please help me with my homeworkI am paying attention

Question attached as screenshot below: Please help me with my homeworkI am paying attention

Answers

Answer:

The limit is 1/5

Explanation:

Given the function:

\(\frac{\sqrt[]{x^2+24}-5}{x-1}\)

Taking this limit as x approaches 1, we have:

\(\begin{gathered} \frac{\sqrt[]{1^2+24}-5}{1-1}=\frac{\sqrt[]{25}-5}{1-1} \\ \\ \frac{5-5}{1-1}=\frac{0}{0} \end{gathered}\)

This result means we need to apply a different method.

We apply L'hopital's rule, by taking the derivatives of the numerator and denominator as follows:

\(\begin{gathered} \frac{2x\times\frac{1}{2}(x^2+24)^{-\frac{1}{2}}}{1} \\ \\ =x(x^2+24)^{-\frac{1}{2}} \end{gathered}\)

Now, taking the limit as x approaches 1, we have:

\(\begin{gathered} 1(1^2+24)^{-\frac{1}{2}} \\ \\ =\frac{1}{\sqrt[]{25}}=\frac{1}{5} \end{gathered}\)

Tommy and Arnold are playing with water balloons. Arnold is standing by a bush that is 20 feet from where Tommy is standing. Tommy released a water balloon at 5 feet above the ground and hits Arnold’s chest- which is also 5 feet above the ground. The balloon reached a maximum height of 15 feet off the ground. using Tommy’s location as the starting point, help Tommy write an equation that describes the path of the water from the point of release to Arnold's chest. Using the equation y=a(x-h)^2+k

Answers

Answer:

The equation that describes the path of the water balloon is:

\(y =-\frac{1}{10}\cdot (x-10)^{2}+15\)

Step-by-step explanation:

The motion of the water balloon is represented by quadratic functions. Tommy launches a water balloon from \(A(x,y) = (0\,ft, 5\,ft)\) and hits Arnold at \(B(x,y) = (20\,ft, 5\,ft)\). Given the property of symmetry of quadratic function, water ballon reaches its maximum at \(C(x,y) = (10\,ft,15\,ft)\), which corresponds to the vertex of the standard equation of the parabola, whose form is:

\(y = a\cdot (x-h)^{2}+k\) (Eq. 1)

Where:

\(a\) - Vertex parameter, measured in \(\frac{1}{ft}\).

\(h\), \(k\) - Horizontal and vertical components of the vertex, measured in feet.

\(x\), \(y\) - Horizontal and vertical location of the ball, measured in feet.

If we know that \(x = 0\,ft\), \(y = 5\,ft\), \(h = 10\,ft\) and \(k = 15\,ft\), the vertex parameter is:

\(5\,ft = a\cdot (0\,ft-10\,ft)^{2}+15\,ft\)

\(a = \frac{5\,ft-15\,ft}{(0\,ft-10\,ft)^{2}}\)

\(a = - \frac{1}{10}\,\frac{1}{ft}\)

The equation that describes the path of the water balloon is:

\(y =-\frac{1}{10}\cdot (x-10)^{2}+15\)

3) There are 4 oranges, 7 bananas, and 5 apples in a basket.
Ryan randomly selects a piece of fruit and then Kaylle
randomly chooses a piece of fruit. What is the probability
that they both choose bananas?

Answers

Answer:

7/256

Step-by-step explanation:

4+7+5=16, so the odds of getting a specific fruit is the amount of the fruit/16 (e.g. oranges is 4/16). The odds of one person getting a banana is 7/16. 16*16=256, so the odds of two people selecting a banana is 7/256.

Which expression is equivalent to5(h+9)

Answers

Answer:

The answer would be 5h+45

Step-by-step explanation

5 (h+9)

You need to convert this equation into the equation

you multiply 5 by h and get 5h

Then multiply the same number outside the parenthesis, 5, by 9 which will give you the answer 45

Once you have 5h and 45 just put it together with the addition symbol which will will equal:

5 (h+9) = 5h + 45

Your Welcome! (hopefully this answers your question)

Please answer the question and leave an explanation on how to solve each part. Thank you in advance

Please answer the question and leave an explanation on how to solve each part. Thank you in advance

Answers

The solution that we have here is a combination question not a permutation.

How to solve for the combination2.

You can order pizza with:  1, 2, 3, 4 toppings for $10.

The ways to do the ordering are

18C1 = 18 ways18c2= 18!/(18-2)!2! = 153 ways of ordering18c3 = 18!/(18-3)!3! = 816 ways of ordering18C4 = 18!/(18-4)!4! = 3060 ways of ordering

In total there would be  3060+816+153+18=4047 ways of ordering for the pizza.

3. Given 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 and there are no restrictions, we would have

2¹⁸ ways of ordering = 262144 ways

Read more on permutations and combinations here: https://brainly.com/question/1216161

#SPJ1

consider the following artificial data set: 5, 5, -10, 6, -3, -3 what is the sample size?

Answers

The sample size is 6.

A sample size refers to the number of observations or elements in a sample, and it is an important factor in statistics because it determines the representativeness and reliability of the sample.

When a sample size is small, there is a higher chance that the sample may not accurately represent the population, leading to biased results. On the other hand, when the sample size is large, the sample is more likely to accurately reflect the population, and the results are more reliable.

In this case, the sample size is 6, which could be considered a small sample size, but depending on the context and the purpose of the analysis, it could still provide meaningful results. However, it's always advisable to have a larger sample size for more robust results.

To know more about  sample size click on below link:

https://brainly.com/question/24158610#

#SPJ11

Someone pls help me with this I will make you brain

Someone pls help me with this I will make you brain

Answers

Answer:

f(2) = 2

f(3) = -9

so the value of f(2) is larger than f(3) is your answer

5+ k When K= 6 what should I do?

Answers

Answer:  11

Step-by-step explanation:

5 + k      If k is equal to 6 then input 6 in for k and solve.

5 + 6 = 11  

Answer:

11

Step-by-step explanation:

If it says K = 6, just replace K with 6.

5 + k

5 + 6

11

The table summarizes data about the median debt for
graduating students from a sample of universities in two
states, California and New York
median debt less than
$9.000
median debt at least
$9.000
total
California
universities
130
445
575
shoe preference
New York
universities
271
343
total
202
716
918
concludes that
so possible
ation between
d shoe
ence is Jada's
sion reasonable?
n your reasoning
Is there an association between the state and the amount
of median debt for graduates? Explain your reasoning.

Answers

Answer:

No

Step-by-step explanation:

There is no association between the state and the debt level for graduates because when all put into precentages they are all about the same.

6 weeks = _________ days

you guys so good help me out

Answers

Answer:

6 weeks is equals to 42 days

3 3/5 x (-8 1/3) iready please help

Answers

Answer: -30

Step-by-step explanation:

I just plugged it into a calculator hehe.

Please quick A car travels 320 miles on 10 gallons of gas. How far could the car travel on 25 gallons of gas?

Answers

Answer:

800 miles.

Step-by-step explanation:

He would travel 800 miles because 320 divided by 10 is 32. 32 multiplied by 25 is 800.

Hope this helps!

320/10= 32 miles per 1 gallon of gas.
32*25 gallons= 800

The car can travel 800 miles on 25 gallons of gas.
Other Questions
Identify a source for each of the following and state whetherthe source is primary or secondary.(a) Inflation rates within the UK economy over the past 10years.(b) A companys profits The Zephyr Corporation is contemplating a new investment to be financed 33 percent from debt. The firm could sell new $1,000 par value bonds at a net price of $970. The coupon interest rate is 12 percent, and the bonds would mature in 18 years. If the company is in a 35 percent tax bracket, what is the after-tax cost of capital to Zephyr for bonds? The after-tax cost of capital to Zephyr for bonds is %. (Round to two decimal places.) a brain ______ is an experimental procedure involving the implantation of healthy tissue into damaged regions of the brain. true-false. the slope of a stream as measured along its entire course tends to remain constant, thus it is flat from the source region to the mouth. What is the solution of log(f-3)-log(17-40)?0405O 15O 20 Moving to another question will save this response. Question 15 4 Land is the only asset that is not subject to annual depreciation. O True O False A Moving to another question will save this response. PCC Business students would like to know how much the average customer at Bank of America has in their savings account.Since they cannot get that information from the bank, they camped outside the location on Colorado Blvd and asked every customer as they left the branch.They collected the following information from the customers.$649 $867 $961 $764 $958 $1,054 $1,166 $652 $1,125 $1,254 $649 $568 $667 $1,152 $641 $856 $966 $783 $859 $985 $762 $1,159. a) Develop a 98% confidence interval for the population mean 0.02 b) What range of pages will 99.7 percent of all the prints from a print cartridge fall into? c) What range of savings amount will 99.7 percent of all the customers fall into?d. Is it reasonable to state that the average customer saves $900? In rabbits, white fur (W) is dominant to black (w), and long ears (E) are dominant to short ears (e). A breeder mates two rabbits that are both heerozygous (WwEe) for both traits. What is the chance that the offspring will be black with long ears? which statement is false regarding the conduct of treasury bill auctions?a 4 week, 8 week, 13 week and 26 week t-bills are auctioned weeklyb 1 year t-bills are auctioned monthlyc non-competitive bids take priority over competitive bidsd bids are awarded based on the lowest discount yield except for 26 week bills which are sold at par 30 points if you answer this correctly plz I need help on a test plz I need big time help What do you think Langston Hughes is saying about American ideals in the poem Let America Be America Again? Which of the ideals in the Constitution and Fourteenth Amendment are not working in his opinion? pls help im being timed Which cultural advancement came first?1 invention of tools2 control of fire3 beginning of agriculture4 development of civilizations In a nation ruled by a totalitarian government, the main purpose of art and literature is to1. allow individuals to freely express their own creativityreinforce the political ideas of those in power3. promote the development of opposing points of view2.4. encourage international cultural exchanges Jennifer has an iPod that she has not used for six months. She wants to move the music and pictures from the iPod to her new iPhone. She tries to access the iPod using her four-digit code, but the passcode does not work. She tries to use two other codes, but neither work. Obviously, Jennifer does not remember the passcode.What solution does Apple provide that will help Jennifer recover the passcode for her iOS device?a. Call Apple support to reset the password.b. Go to iTunes and reset the password.c. Answer the two security questions when asked by Siri.d. Reset the device and restore the data from iCloud or iTunes. Malonate is an inhibitor of the enyme succinate dehydrogenase. How would you determine whether malonate is a competitive or noncompetitive inhibitor?CC 8.4 What is the most important data for studying the potential for flooding along a river for several decades into the future the type of error that involves giving low ratings to all employees by using unrealistically high standards is called: If A= 30verify:sin2A=2sinA.cosA The weight of a football player is 680 N. What is his mass? g = 9.8 m/s2 What are the waste products of alcoholic fermentation?A. Ethanol and carbon dioxideB. Lactate and oxygenC. Glucose and waterD. Carbon dioxide and oxygen(40 points!!!) (will mark brainliest if its right)