What is the P(1,6,4) on 3 rolls of a dice? show how you got the answer!

Answers

Answer 1

Answer:

1/9

Step-by-step explanation:

Given the sample space of a die S=(1,2,3,4,5,6)

and the sample size=6

the probability of obtaining the number 1 Pr(1)= 1/6= 1/6

the probability of obtaining the number 6 Pr(1)= 6/6= 1

the probability of obtaining the number 4 Pr(1)= 4/6= 2/3

Hence the probability of   P(1,6,4) = [tex]\frac{1}{6} *1 *\frac{2}{3} =\frac{2}{18} = \frac{1}{9} \\[/tex]


Related Questions

Two points on a line are (3, 6) and (4, 9). What is the slope of the line?

Answers

Answer:

slope of line= 3

Step-by-step explanation:

slope of line= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

(X₁, Y₁)= (4, 9)

(X₂, Y₂)= (3, 6)

* The order of which one is the first coordinate or second does not matter. Just ensure that if you let the x-coordinate of 1 point to be X₁, the y-coordinate of the same point has to be Y₁.

Thus, slope of line

[tex] = \frac{9 - 6}{4 - 3} \\ = \frac{3}{1} \\ = 3[/tex]


The library is 3 miles east of the city hall. The mall is 10 miles west of the library. How far and in what direction is the mall from the city hall?

A. 7 miles west
B. 7 miles east
C. 13 miles west
D. 13 miles east

Answers

Answer:

A

Step-by-step explanation:

If the library is 3 miles east of the hall, and the mall is 10 miles west of the library, then do 10 - 3 to find the distance between the mall and hall, which is 7 miles.

The mall is also west of the city hall.

Answer:

a 7 miles west

Step-by-step explanation:

i took the test plz mark brainliest

Find the x-intercept for the line represented by this equation 7x=2y-3 A. (-3/7,0) B.(0,-3/7) C.(3/2,0) D.(0,3/2)

Answers

Answer:

(-3/7, 0)

Step-by-step explanation:

7x=2y-3

To find the x intercept, set y = 0 and solve for x

7x = 0-3

7x = -3

Divide each side by 7

7x/7 = -3/7

x = -3/7

The x intercept is

(-3/7, 0)

Answer: A

Step-by-step explanation:

For the x-intercept, we know y=0. We can eliminate B and D.

We know either A or C is the correct answer. This line is linear so there should be only one x-intercept. We can solve this equation to see which is correct. Let's plug in A and C into the equation to see which is right.

A. Correct

[tex]7(-\frac{3}{7} )=2(0)-3[/tex]

[tex]-3=-3[/tex]

C. Incorrect

[tex]7(\frac{3}{2} )=2(0)-3[/tex]

[tex]\frac{21}{2}\neq -3[/tex]

Find the radius of a circle that has a circumference of 16 .
O r=4
O r=8
O r= 12
O r=16

Answers

Answer:

2.55

Step-by-step explanation:

To find the radius, the formula is:

R = C/2 x pi

pi = 3.14

16/(2 x 3.14) = 2.54648

= 2.55

Mrs. Olga’s credit card charges an interest rate of 19% compounded annually. If her current balance is $250, what will her balance be after 3 years?

Answers

Answer:

$421.30

Yearly Componded Interest

$250 * 19% = $47.50 = $297.50 <-- Year One Balance

$297.50 * 19% = $56.53 = $354.03 <-- Year Two Balance  

$354.03 * 19% = $67.27 = $421.30 <-- Year Three Balance  

Answer:

$421.29

Step-by-step explanation:

$250

19%

3 years

----------

$250*1.19³= $421.29

what is the value of x?

Answers

Answer:

x= 32

Step-by-step explanation:

if x+4x-20 = 180

  5x=160

    x=32

Evaluate the sine of angle X for the right triangle below.

Answers

Answer: C

Step-by-step explanation:

Sine is opposite/hypotenuse. Unfortunately, the hypotenuse is blank. Therefore, we need to solve for hypotenuse. We use Pythagorean Theorem to find hypotenuse.

Pythagorean Theorem: a²+b²=c²

7²+24²=c²

49+576=c²

625=c²

c=√625

c=25

Now that we have found the hypotenuse, we can find sine of x. Opposite of x is 7. Hypotenuse is 25. Therefore, sinx=7/25.

Answer:

7/25

Step-by-step explanation:

Just finished the lesson and checked the answer key :D

Yesterday, Pete had 14 shirts. Today, he donated n shirts. Using n, write
an expression for the number of shirts Pete has left.

Answers

Answer:

14 - n.

Step-by-step explanation:

If he donated 'n' shirts, we can simply subtract 'n' from his initial amount of shirts, which is stated as '14'. Therefore:

'14 - n' is an expression that can represent how many shirts are remaining after he donated them.

What is the slope? 50 points + brainly


Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

1/2

Step-by-step explanation:

Hi there, let me show you how to answer this question.

If you notice, the line goes over (-1,-10) and (1,-9). But overall, the rise/run is 1/2 as the rise is 1 and the run is 2.

Please help
the question is below

Answers

Answer:

x = -8

Step-by-step explanation:

We have,

[tex]x-3y=136\ ...(1)[/tex]

and

[tex]18x+3y=-288\ ....(2)[/tex]

Adding equation (1) and (2) we get :

[tex]19x=-152\\\\x=-8[/tex]

So, the value of x is -8.

Solve for x: -4x=2x+5

Answers

Answer:

-.833333333333333333333333333333333333333333333333333333333333

Step-by-step explanation:

subtract 2x from each side

you are left with -6x=5

divide 6 on both sides

you get -.8333333333333333333333333333333333333333333333333333

Answer:

x= [tex]-\frac{5}{6}[/tex] or 0.83

Step-by-step explanation:

-4x=2x+5

First, you subtract 2x from both sides

-4x - 2x = 2x - 2x + 5

-6x = 5

Divide both sides by the coefficient of x(The coefficient of x here is -6)

[tex]\frac{-6x}{-6} = \frac{5}{-6}[/tex]

x = [tex]-\frac{5}{6}[/tex]

OR

In decimal form⇒ 0.82828282...

                         ≅ 0.83

∴ x = [tex]-\frac{5}{6}[/tex] or 0.83

Hope this helps!!!

Please help me with my question!!

Answers

Answer:

56 tiles

Step-by-step explanation:

[tex]\dfrac{252}{4\frac{1}{2}}= \\\\\\\dfrac{252}{\frac{9}{2}}= \\\\\\252\times \dfrac{2}{9}= \\\\\\\boxed{56}[/tex]

Hope this helps!

Same with the other question we did, we are given the area of each tile which is 4 1/2in^2.

All we need to do it divide.

252 / 4.5 = 56

So, she would need 56 tiles in total.

Best of Luck!


Four different positive integers have a product of 110.
What is the sum of the four integers?​

Answers

Answer:  19

Explanation:

Let's break 110 down into its prime factors

110 = 11*10

110 = 11*2*5

110 = 2*5*11

We have three different prime factors that multiply to 110. However, the instructions say there are 4 integers that multiply to 110. To fix this, we can say

110 = 1*2*5*11

now we see that 1,2,5 and 11 multiply out to 110

They add to 1+2+5+11 = 3+16 = 19

Use Cramers Rule to solve the system
-x-3y=-8
2x+4y=12

Answers

Answer:

x = 2 y = 2

Step-by-step explanation:

just do equation form

Answer:

[tex]x=2[/tex] and [tex]y=2[/tex]

Step-by-step explanation:

To use Cramer's Rule, we first need to turn this system of equations into a matrix

[tex]A=\left[\begin{array}{cc}-1&-3\\2&4\\\end{array}\right][/tex] , [tex]b=\left[\begin{array}{c}-8\\12\\\end{array}\right][/tex]

The first step to use Cramer's Rule is to find the determinant of the original matrix

[tex]detA=(4)(-1)-(2)(-3)\\\\detA=-4+6\\\\detA=2[/tex]

Next, we need to replace column 1 of matrix A with b and then find the determinant of that matrix

[tex]A_1=\left[\begin{array}{cc}-8&-3\\12&4\\\end{array}\right][/tex]

[tex]detA_1=(-8)(4)-(12)(-3)\\\\detA_1=-32-(-36)\\\\detA_1=4[/tex]

And now we need to replace column 2 of matrix A with b and then find the determinant of that matrix

[tex]A_2=\left[\begin{array}{cc}-1&-8\\2&12\\\end{array}\right][/tex]

[tex]detA_2=(-1)(12)-(2)(-8)\\\\detA_2=-12-(-16)\\\\detA_2=4[/tex]

Now that all of this is done, we can find the values for our x matrix.

Recall that Cramer's Rule states that

[tex]x=\left[\begin{array}{c}\frac{detA_1}{detA} \\\frac{detA_2}{detA} \\\end{array}\right][/tex]

Now that we know all of the required determinants, we can find x

[tex]x=\left[\begin{array}{c}\frac{4}{2} &\frac{4}{2} \end{array}\right] \\\\x=\left[\begin{array}{c}2\\2\\\end{array}\right][/tex]

This means that the solutions to this system are [tex]x=2[/tex] and [tex]y=2[/tex]

How many solutions exist for the given equation?
CO
3(x - 2) = 22-X
name
zero
one
two
infinitely many




can someone help me pls​

Answers

Answer:

one

Step-by-step explanation:

3(x - 2) = 22 - x

3x - 6 = 22 - x

3x + x = 22 + 6

4x = 28

4x/4 = 28/4

x = 7

WILL GIVE BRAINIEST!!! Find the sum of the first 200 positive even numbers.

Answers

Answer:

2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50+52+54+56+58+60+62+64+66+68+70+72+74+76+78+80+82+84+86...+400=40200

Step-by-step explanation:

What is the solution to StartFraction 5 over 6 EndFraction x minus one-third greater-than 1 and one-third? x > StartFraction 25 over 18 EndFraction x < StartFraction 25 over 18 EndFraction x > 2 x < 2

Answers

Answer:

Correct option: third one -> x > 2

Step-by-step explanation:

Writing the inequation from the sentence in the question, we have:

[tex](5/6)x - 1/3 > 1\ 1/3[/tex]

To solve this inequation we can do the following steps:

[tex](5/6)x > 1\ 2/3[/tex]

[tex](5/6)x > 5/3[/tex]

[tex]x > (5/3) / (5/6)[/tex]

[tex]x > (5/3) * (6/5)[/tex]

[tex]x > 2[/tex]

So the correct option is the third one: x > 2

Answer:

The answer is C.

x>2

Step-by-step explanation:

on edge

Show that the points A(2,-2), B(14, 10), C(11, 13) and
D(-2, 1) are the vertices of reclangle

Answers

Answer:

  is not a rectangle

Step-by-step explanation:

The midpoints of the diagonals are ...

  AC midpoint = ((2, -2) +(11, 13))/2 = (13/2, 11/2)

  BD midpoint = ((14, 10) +(-2, 1))/2 = (6, 11/2)

The midpoints of the diagonals are different, so this is not a rectangle or any sort of parallelogram.

A hospital gives a survey to all surgical patients asking them to rate the quality of their hospital experience. One month after surgery, the hospital contacts the patients again to ask if there were any complications from the surgery. Last year, the results of the surveys showed that of the patients who had a poor hospital experience, 40% had post-surgical complications. What conclusion can be drawn from this study?
A) Poor hospital experiences cause post-surgical complications.
B) Some patients who have a poor hospital experience also have post-surgical complications.
C) Post-surgical complications cause poor hospital experiences.
D) Most patients who have a poor hospital experience also have post-surgical complications.

Answers

The Answer Should Be Letter A

Answer:

B) Some patients who have a poor hospital experience also have post-surgical complications.

Step-by-step explanation:

It is only "some" because it isnt 50% or more

Look in pic to help!!

Answers

Answer:

Step-by-step explanation:

140-105 gives you the angle of X, X is then 35

Answer:

x = 65°

Step-by-step explanation:

The 2 base interior angles are adjacent to the external angles and are supplementary.

180° - 105° = 75°

180° - 140° = 40°

The sum of the 3 interior angles of a triangle = 180°

Subtract the sum of the 2 known interior angles from 180 for x

x = 180° = (75 + 40)° = 180° - 115° = 65°

5 people are trying to sit on a long bench of length 30.52\text{ m}30.52 m30, point, 52, start text, space, m, end text. Find the length occupied by each person.

Answers

Answer:

6.104 m

Step-by-step explanation:

The length of the bench is 30.52 m.

5 people want to sit down on the bench.

We assume they are seated with equal spacing between themselves.

The length occupied by each person will therefore be:

30.52 / 5 = 6.104 m

I need help with this if someone could help me

Answers

Answer:

SSA (SIDE, ANGLE, SIDE)

Step-by-step explanation:

b.) SSA
they have two congruent sides and a congruent angle but the known sides do not form the congruent angle

Write your question here (Keep it simple and clear to get the best answer)if use the spinner 200 times how many pink colour would you get if it has 0.2

Answers

Answer: 40 times.

Step-by-step explanation:

If the probability in a sigle spin of getting the colour pink is p = 0.2

This means that in 0.2*100%  = 20% of the spins we should see the colour pink.

Then, out of 200 spins, the 20% of 200 is

(20%/100%)*200 = 0.2*200 = 40

This means that out of 200 spins, in around 40 of them we will se the colour pink.

Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will last 10 years. The rules of the competition are simple. Each child can split up his or her $2000 into as many separate investments as they please. The children are encouraged to do their research on types of investments. The initial investments made may not be changed at any point during the 10 years; no money may be added and no money may be moved. Whichever child has made the most money after 10 years will be awarded an additional $10,000. Child Performance of investments over the course of the competition Albert $1000 earned 1.2% annual interest compounded monthly $500 lost 2% over the course of the 10 years $500 grew compounded continuously at rate of 0.8% annually Marie $1500 earned 1.4% annual interest compounded quarterly $500 gained 4% over the course of 10 years Hans $2000 grew compounded continuously at rate of 0.9% annually Max $1000 decreased in value exponentially at a rate of 0.5% annually $1000 earned 1.8% annual interest compounded biannually (twice a year) 1. What is the balance of Albert’s $2000 after 10 years? 2. What is the balance of Marie’s $2000 after 10 years? 3. What is the balance of Hans’ $2000 after 10 years? 4. What is the balance of Max’s $2000 after 10 years? 5. Who is $10,000 richer at the end of the competition?

Answers

Answer:

Step-by-step explanation:

Albert:

$1000 earned 1.2% annual interest compounded monthly

= 1000 (1+.001)120

(periodic interest = .012/12 ,n is periods = 10yr x 12 mos)

$500 lost 2% over the course of the 10 years

= 500 (.98)

$500 grew compounded continuously at rate of 0.8% annually

= 500 e^008(10) 10 years interest .008 (in decimal form)

Add these three to see how Albert did with his investments

The balance of Albert is $2159.07; the balance of Marie is $2244.99, the balance of Hans is $2188.35, and the balance of Max is $2147.40. Marie is $10,000 richer at the end of the competition.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To determine the balance of Albert’s $2000 after 10 years :

If the amount of $1000 at 1.2 % compounded monthly,

A = P(1 +r/n)ⁿ n = 10 years

here P = $1000 and r = 1.2

A = 1000(1 + 0.001)¹²⁰

A = $1127.43

If Albert $500 losing 2%

So 0.98 × 500 = $490

If $500 compounded continuously at 0.8%

So A = P[tex]e^{rt}[/tex]

A = 500[tex]e^{0.008\times 10}[/tex]

A = 541.6

So the balance of Albert’s $2000 after 10 years :

Total balance = 1127.43 + 490.00+ 541.64 = $2159.07

To determine the balance of Marie’s $2000 after 10 years:

If 1500 at 1.4 % compounded quarterly,

A = 1500(1 + 0.0035)⁴⁰ = $1724.99

If $500 Marie’s gaining 4 %

So 1.04 × 500 = $520.00

So the balance of Marie’s $2000 after 10 years

Total balance = 1724.99 + 520.00 = $2244.99

To determine the balance of Hans’ $2000 after 10 years:

If $2000 compounded continuously at 0.9%

So A = 2000[tex]e^{0.009\times 10}[/tex]

A = $2188.3

To determine the balance of Max’s $2000 after 10 years :

If $1000 decreasing exponentially at 0.5 % annually

So A = 1000(1 - 0.005)¹⁰= $951.11

If $1000 at 1.8 % compounded bi-annually

So A = 1000(1 + 0.009)²⁰ = $1196.29

So the balance of Max’s $2000 after 10 years

Total balance = 951.11 + 1196.29 = $2147.40

Therefore, Marie is $10,000 richer at the end of the competition.

Learn more about Compound interest here :

brainly.com/question/25857212

#SPJ2

Hi Sonielis, when you submit this form, the owner will be able to see your name and email address.
1. In the scale drawing shown the room is 3 centimeters long. What is the actual length of the
room if 1 cm = 3 m?

Answers

Answer: 1 cm = 3m

9 m

Step-by-step explanation:

1 cm = 3 m

2 cm = 6 m

3 cm = 9 m

Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
Oh(x) = X-4
Oh(x) = 2x
h(x) =
17 1x

Answers

I think it will be
(X)=x/4

1. What is the surface area of the pyramid below
6 , 5.2 ,8.2

Answers

128.22? I’m not sure if it’s right because you did not specify the base length, width or height.

Compute the permutations. 5P4

Answers

Answer: 120

Step-by-step explanation:

5!/(5-4)!=5!/1!=(5*4*3*2*1)/1

120/1

=120

Colin spends 1/3 of his wages on rent and 1/4 on food. If he makes £636 per week, how much money does he have left?

Answers

Answer:

£265

Step-by-step explanation:

Total fraction of money spent= [tex]\frac{1}{3} +\frac{1}{4}[/tex]

                                                 = [tex]\frac{7}{12}[/tex]

Actual money spent = [tex]\frac{7}{12}[/tex] * £636

                                  = £371

Money he has left = £(636 - 371)

                               = £265

Answer:

$265

Step-by-step explanation:

Describe how to use the formula C = StartFraction 5 Over 9 EndFraction (F minus 32) to find

Answers

Answer:

Answer is below

Step-by-step explanation:

C = 5/9(F - 32)        This equation is used to convert from Fahrenheit to Celsius on the temperature scale.

An example is listed below

C = 5/9(32 - 32)             Subtract in the parentheses

C = 5/9(0)                       Multiply

C = 0                       When it is 32 degrees Fahrenheit, it is 0 degrees Celsius

Answer:

you answer the question

Step-by-step explanation:

hope this help

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