Mr. Jackson likes to play a game in which rolling a 4 on a number cube doubles your score. He wants to know the probability that he will roll a 4 exactly 3 times out of 10 rolls. Define the variables for describing a binomial probability, and identify their values in this experiment.

Answers

Answer 1

Answer:

Step-by-step explanation:

Binomial Probability

P(x) =  n!/(n-x)!x! * p^x q^(n-x)

P(x) = probability there will be x required outcomes (here x is 3)

n = number of trials (here it is 10)

p = probability of 1 required outcome (getting a 4) on a single roll ( = 1/6).

q = probability of required outcome not occurring on a single roll.

p = 1/6

q = 1 -1/6 = 5/6

n = 10

x = 3

So the required probability

= 10!/ 7!3! (1/6)^3 (5/6)^7

= 0.155.


Related Questions

how to know which way to solve a quadratic equation

Answers

Answer:

  Practice -- lots of it

Step-by-step explanation:

I usually choose a solution method that I believe will find the desired answer for me in the least number of simple steps. What constitutes a "simple" step depends on a number of things:

the given information and/or the given form of the equationfamiliarity with all of the different solution processesfamiliarity with arithmetic facts (multiplication tables, squares)familiarity with quadratic forms: difference of squares, perfect square binomials, product of binomials, vertex formavailability of a graphing calculatorwhether an approximation will serve the purpose.

__

I often choose a graphing calculator as my first approach to solving a quadratic. It easily shows the roots, and can show the vertex. (Sometimes, scaling the graph is required, so I actually prefer to use a touch-screen for the purpose. It is easier to "pinch" than to type in possible graph limits by trial and error.) The answer is generally provided to 3 or 4 significant figures, which is usually enough to tell if the solution is rational or irrational.

The easiest way to describe an integer (or rational) solution to someone else (on Brainly, for example) is usually to show the factoring of the quadratic. Finding the roots with a graphing calculator significantly aids the factoring process. (It is much easier to "find" the solution if you know the solution before you start looking.)

__

As we said at the beginning, the answer to your question is "practice." Many curricula try to offer opportunities to practice. I find most of these pretty annoying. What I suggest is that you find your own internal motivation to practice solving different kinds of quadratics in several different ways. That is, solve the same quadratic by ...

using the formulacompleting the squarefactoringgraphing (with a graphing calculator)scaling and/or translation and/or transformation*

It might take you a couple of hours of work to learn the best way to solve an equation in under 5 minutes.

In this process, you will discover what you need to know to choose a method that works nicely for you. I believe you will find that total familiarity with arithmetic facts (sums, products, squares) and operations on all the different ways to represent numbers (integer, decimal, fraction, percent, scientific notation) will help you significantly.

_____

* Additional comment

Some "area" problems give you the difference of dimensions (length and width), and ask you to find the dimensions that give a specific area. This can be solved by (x)(x -d) = A. If you don't immediately recognize factors of A that differ by d, then you might have to resort to the quadratic formula to solve this.

Another approach is to let the variable represent the average dimension. Then the equation becomes (x -d/2)(x +d/2) = A, which is a "difference of squares" form that is much more easily solved. The solution for x is √(A +(d/2)²), and all you have to do is add and subtract d/2 from that solution to find the dimensions. This is an example of what I mean by transforming the problem.

what is 110/12- 28/12 as an improper fraction

Answers

Answer:

82/12

Step-by-step explanation:

What expression is equal to 4/8

Answers

The value of 12/24 is equals to 0.5.

Answer:

The value of 12/24 is equals to 0.5. Hence, this fraction is equivalent to 4/8.

Step-by-step explanation:

im not sure tho. hope u get it right.

Line N passes through the points (-1, 4) and (-1, -4).
5
4
3-
2
1
-5 -4 -3 -2 -14
1
2 3 4 5
x
X
اسة.
5
3
ܛܝܝܝ
5
Which is true of line N?

Answers

Answer:

i don't know btw is this eighth grade

I never was good at math, so i wanted to ask someone for help,
I'm doing 8th grade math, and this is the problem:

-11 + 9b² = 25

If you can help me I will be very grateful!

Answers

Answer:

b=4

Step-by-step explanation:

-11+9b^2=25

add 11 to both sides

9b^2=36

divide both sides by 9

b^2=4

take the square root of both sides

b=4

Please help me with this

Answers

Answer:

it is -16

Step-by-step explanation:

I did the math i know for sure

Kyle was playing archery and shot 20 arrows. 30% of them hit the bullseye. how many of the arrows hit the bullseye?

Answers

20 = 100%
0.2 = 1%
6 = 30%

6 arrows hit the bullseye

Cameron ran 5 miles less than Kyle last week. Cameron ran 9 miles. Which equation will tell you how many miles Kyle ran?
A)
+ 5-9
B)
X-5 - 9
o
X+ 5-49
D)
X-5=-9

Answers

D. it is d because I said so >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    

Can someone help me with this please

Answers

Answer:

  C) The difference between the 75th and 25th percentiles is 12 inches.

Step-by-step explanation:

The interquartile range is the length of the "box" in a "box and whisker" plot. One end is the 25th percentile, and the other end is the 75th percentile. It is the difference between the maximum and minimum of the middle 50% of the data.

For the baker's loaf-length data set, the interquartile range being 12 inches means the loaves in the 75th percentile are 12 inches longer than the loaves in the 25th percentile. This could be described by choice C.

i will make you brainliest

Answers

Answer:

Answers given in the photo

Which graph best represents the solution set of y 3 x − 4?

Answers

Answer:

Step-by-step explanation: i dont know but i still can help i think its answer The graph that best represent the solution set of y > 3x - 4 is D. The inequality is as follows: y > 3x - 4. lets find y when x = 0.

The diagram shows the floor of a living room. What area of carpet will be needed to cover the floor? Remember to include your units of measure.

Answers

By using the given diagram, we want to find the area of carpet needed to cover the floor. We will see that we need 188 ft^2 of carpet to cover the floor.

First, remember that for a rectangle of length L and width W, the area is given as:

[tex]A = W*L[/tex]

Now, if we look at the diagram we can see that the area of the carpet is equivalent to the area of a rectangle of 18ft by 14ft minus the area of two rectangles of 8ft by 4ft.

The area of the first rectangle is:

[tex]A = 18ft*14ft = 252 ft^2[/tex]

The area of each one of the smaller ones is:

[tex]A' = 8ft*4ft = 32 ft^2[/tex]

Then the area that we need for the carpet is:

[tex]A - 2*A' = 252 ft^2 - 2*32 ft^2 = 188 ft^2[/tex]

We need 188ft^2 of carpet to cover the floor.

If you want to learn more about rectangles, you can read:

https://brainly.com/question/9655204

what will be the total surface area of a cylinder if

h = 22cm
and
r = 3cm
TSA = ?

Please give me the answer plssss??

Answers

Answer:

total surface area of a cylinder is 471 cm²

is the pair of complementary angles are in the ratio4:11 find them​

Answers

Answer:

Step-by-step explanation:

The diameter of a cylindrical construction pipe is 6 ft. If the pipe is 26 ft long, what is its volume?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:

First find the area of the circular base. The diameter is 6, so the radius is 3.

A circle is pi r square, so it is 3.14 x 3^2, = 28.26

Multiply that by the length 28.26 x 26 = 734.76, which rounds to 735 cubic feet.

Does the graph represent a function?

Answers

Yes because there is a pattern

Answer:

no

Step-by-step explanation:

If it represented a function then it wouldn't be curved. curved lines don't represent a function

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

14. Is the answer
Explanation
49*4= 196
14*14=196

the mark in a subject for 12 students are as follows 31`, 37 ,35,38 ,42 ,23,17,18 ,35,25, 35,29

Answers

Answer:

Mean (Average): 30.416666666667

Median: 33

Range: 25

Mode: 35, appeared 3 times

Step-by-step explanation:

Shivani had 3/10 of a pound of blueberries. Shivani let her friend Rosa eat 1/4 of the
blueberries. How many pounds of blueberries did Rosa eat?
Write your answer as a fraction or as a whole or mixed number.
a
pounds

Answers

9/40 pounds of blueberries

DONT ASNWER IF YOU DON"T KNOW THE ANSWER
Are the two triangles similar? Why or why not?

Answers

yes because they are congruent just dilated in size

Simplify. Dividing radicals

Answers

Answer:

[tex]\frac{\sqrt[4]{15} }{16}[/tex]

Step-by-step explanation:

You cannot leave a radical in the denominator, so the first step is to get rid of it. The way you do that is by multiplying the radical in the denominator by itself over itself because anything over itself is equal to 1. So, for example in this problem:

[tex]\frac{\sqrt{15}}{\sqrt{16} } *\frac{\sqrt{16}}{\sqrt{16} }[/tex]

From here you multiply straight across. The numerator will be equal to [tex]\sqrt{240}[/tex] and the denominator will be 16 because any radical multiplied by itself cancels the radical out and just equals the number inside of the radical. The last step is to simplify the numerator. You do this by finding factors of 240 which are:

1 * 2402 * 1203 * 804 * 605 * 486 * 408 * 3010 * 2412 * 2015 * 16

You want to use the greatest factor you have so you can break it down easier which in your case is (15 * 16). From here you simplify each of those numbers until you have a duplicate of something. The greatest factor of 15 is 3 * 5, so that won't simplify because there are no duplicate numbers. The greatest factor of 16 is 4 * 4 which means that it will simplify. When you are simplifying the duplicate (4) always goes outside of the radical and the non-duplicate (15) always goes on the inside of the radical. Your answer should look like this:

[tex]\frac{\sqrt[4]{15} }{16}[/tex]

Please solve for x.................

Answers

Answer:

x=1

Step-by-step explanation:

3(x + 4) = 5(x + 2)

3x+12=5x+10

2x=2

x=1

Answer:

X=1

Step-by-step explanation:

3/x+2 = 5/x+4

3/(1+2) = 5/(1+4)

3/3 = 5/5

3/3=1

5/5=1

Apple + Orange = $20
Apple is twice the price of the orange
How much does the apple cost?

Answers

It costs 40 dollars bcz twhce the number of 20 is 40 its like multiple by 2

1
Arrange the following steps in the right order so as to find the roots of the following quadratic equation.
22 +22 - 8=0
=
-2 +6
=
2
-2 +4+32
2.
=
= = =
I = -4; = 2
x = -13
TI
-2 = 36
2
-2 +(2) – 4(1)(-8)
2 (1)
2
= r = -1 -3: x = -1 +3

Answers

Answer:

22 +22 - 8=0

=

-2 +6

=

2

-2 +4+32

2.

=

= = =

I = -4; = 2

x = -13

TI

-2 = 36

2

-2 +(2) – 4(1)(-8)

2 (1)

2

= r = -1 -3: x = -1 +3 = sin   \theta  

Step-by-step explanation:

Write the equation of the line that passes through the points (-1,3) and (-1,-9).

Answers

Answer:

The equation of the line is x=-1.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-9-3)/(-1-(-1))

m=-12/(-1+1)

m=-12/0

undefined.

Since the slope is undefined,

it follows that this is a vertical line with the equation x=-1.

please help due any minute

Answers

Answer:

A the system has no solution

Step-by-step explanation:

Simplifying 2x + -5y = -8

Solving 2x + -5y = -8

Solving for variable 'x'.

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

Add '5y' to each side of the equation. 2x + -5y + 5y = -8 + 5y

Combine like terms: -5y + 5y = 0 2x + 0 = -8 + 5y 2x = -8 + 5y

Divide each side by '2'. x = -4 + 2.5y Simplifying x = -4 + 2.5y

Solution for 2x-5=12 equation:

2x - 5 = 12

2x = 12 + 5

2x = 17 (divide both sides by 2 to get x)

2x/2 = 17/2

x = 8.5

1. You are planning an extended trip to Mexico. You have a new smartphone to keep in touch with your friends but are concerned about the roaming charges since you will be outside the home network service area. Your plan costs $40.00 per month plus $0.35 per minute for roaming charges. Write a linear model relating your monthly cost, C, and the roaming minutes, t.

A: C = $40 + $0.35t
B: C = $40 $0.35t
C: C = $0.35 + $40t
D: C = $0.35 $40t

Answers

a. $40 is the set price per month and $.035 is the changing rate per minute. If t represents the minutes you use the phone, then you have to multiple that amount by $.035

PLEASE HELP ME, I NEED HELP ASAP!!!! :(

ty ty

Answers

Answer:

y=10/3

Step-by-step explanation:

Answer:

y = - [tex]\frac{24}{7}[/tex]

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 6 when x = - 7

6 = - 7k ( divide both sides by - 7 )

- [tex]\frac{6}{7}[/tex] = k

y = - [tex]\frac{6}{7}[/tex] x ← equation of variation

When x = 4 , then

y = - [tex]\frac{6}{7}[/tex] × 4 = - [tex]\frac{24}{7}[/tex]

What is -2 1/2 times 3 3/4?

Answers

Answer:

-6 3/8

Step-by-step explanation:

Step-by-step explanation:

-2 1/2 mixed number change fraction= -3/-4 = 3/4.

3 3/4 = 15/12 = 5/4.

3/4 x 5/4= 15/16.

Jack is 3 times as old as Lisa. If their ages together is 24, how old are they both?

Answers

Jack is 18 and Lisa is 6.
Other Questions
3* what =1 because I'm genuinely unsure you and a friend go to starbucks. you spend $5.25 on a venti pumpkin spice latte and buy 4 chocolate chip cookies. your friend decides against coffee and only purchases 7 chocolate chip cookies. if you both spent the same amount of money, what was the price of one chocolate chip cookie? Give the algebraic equation One benefit of a college education is being:A. 10 percent less likely to be unemployed.B. 14 percent less likely to be obese. C. 25 percent less likely to hurt yourself exercising.oD. 18 percent more likely to smoke. How did the government ensure that food made it to the troops? How would this help win the war? leo scored 3 out of every 4 questions on a exam. What percentage of the questions did he get right I Need Musician Names From United StatesI don't know what subject this is for but it's my social studies assignment . . . I need musicians for the northeast region, south region, mid - west region, and west region from the united statesThank you :,D ! What is 23/9+17/9 adding fractions What was the golden age of islam? and what were some of the advancements made during it? If cos()= -2/3 and lies in quadrant II, find the value of cot When carbohydrate intake is low, which of the following is most likely to result?a. Your ur body will starveb.your body will store more fatc.your energy will use more energyd.your body will break down other nutrients for energy Which of these describe biodiversity? Something that stands for something else could be called aWord Bank:captures, symbol, outlines, botany, waterways, zoology, psychology, and enveloped 1/2 + (-7) 2 1/2 - (-2) listed below are several transactions. for each transaction, indicate whether the cash effect of each transaction is reported in a statement of cash flows as an operating, investing, financing, or noncash activity. also, indicate whether the transaction is a cash inflow or cash outflow, or has no effect on cash. the first answer is provided as an example. PLEASE HELPPPPPPPPPPPP NOWWWWWWWWWWW (WARNING: you will get LOTS on notifications if u answer.)is cereal soup?is a hot dog a sandwich?do penguins have knees?._. i am bamboozled. Robin currently has 50 subscribers on her You Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.Part A: Set up a system of equations to shows each person's subscribers. (2 points)Part B: After how many weeks will Robin and Dimitri have the same number of subscribers? (1 point)Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal? (1 point) Complete the table if x & y vary inversely Which of the following does NOT happen during the light-dependent reactions ofphotosynthesis?ATP is producedOxygen is producedGlucose is producedNADPH is produced in what ways did france aid the american revolution?