A number cube is rolled three times. What is the probability of rolling a number less than 3 each time?
Answers
Answer:
8/27
Step-by-step explanation:
The probability of rolling a number less than 3 three times in a row on a number cube (or die) is 1/27.
Explanation:The subject of this question is probability in mathematics. A number cube, often referred to as a die, has six faces numbered 1 through 6. If we are looking for the probability of rolling a number less than 3, we are looking for the probability of rolling a 1 or a 2. Out of six possibilities, two are successful outcomes (1 and 2), so the probability of rolling a number less than 3 in one roll is 2 out of 6, or 1/3.
However, since the number cube is rolled three times, we have to consider this probability for each roll. In probability, when we want to find the likelihood of multiple events all occurring, we multiply the probabilities of each individual event. Therefore, the probability of rolling a number less than 3 three times in a row is (1/3) * (1/3) * (1/3) = 1/27.
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Related Questions
In the above figure, m∠XOV = 47° and m∠UOW = (2x + 35)°. If ∠UOW and ∠XOV are vertical angles, what is the correct equation that could be used to solve for x?
Answers
Answer:
(2x + 35)° = 47°
please help me, very ez
Answers
Answer:
Q' (-2, 2)
P' (-2, 7)
R' (6, 2)
Step-by-step explanation:
When reflecting over a diagnal line such as y = x or y = -x, a trick is to count the boxes at an angle to see how many spaces it is away from the line. Be sure to recipicate what you counted the first time, and when reflecting over y = -x, flip the x and y coordinates and if needed, change the signs.
Hope this helps!
Answer:
Q' (-2, 2)
P' (-2, 7)
R' (6, 2)
Step-by-step explanation:
Question
James and shekar were given an apple pie each. James ate 2/3 of the pie and shekar ate 3/4. What portion of the pie did they eat together?
a. More than one pie
b. Less than one pie
c. Three sixth of pie
d. The relationship cannot be determined from the above information given.
Answers
Answer:
a. More than one pie
Step-by-step explanation:
2/3 + 3/4
8/12 + 9/12 = 17/12
17/12 = 1 5/12
Use the net to find the surface area of the rectangular prism. A) 168 units2 B) 192 units2 C) 220 units2 D) 224 units2
Answers
Answer:
See below.
Step-by-step explanation:
You didn't provide any dimensions to test the answers with, but here is how you could solve the problem.
A rectangular prism is just an oblong cardboard box basically. Think about how you would unfold that box. It would be made up of 3 pairs of rectangles (2 end pieces, the top and bottom, and 2 sides). To calculate its surface area you just calculate the areas of each piece and add them up.
The overall formula ends up being:
Area = 2(LW) + 2(LH) + 2(WH)
A baker uses the expression 3.25c+5.75p to calculate his profit when he sells c cakes and p pies.
What is the baker’s profit, in dollars, when he sells 10 cakes and 15 pies?
Answers
Answer:
118.75
Step-by-step explanation:
I used a calculator
Factor 4x^2 + 49y^2 please.
Answers
Answer:
(2x + 7yj)(2x - 7yj)
Step-by-step explanation:
Both 4x^2 and 49y^2 are perfect squares, and
4x^2 + 49y^2 is the sum of two squares.
There is a formula for factoring the difference of two squares:
a^2 - b^2 = (a - b)(a + b) (all real numbers here), but unless imaginary numbers are allowed, there's no formula for factoring the sum of two squares.
If imaginary numbers are allowed, then a^2 + b^2 factors into
(a + jb)(a - jb).
Following this pattern, 4x^2 + 49y^2 factors into (2x + 7yj)(2x - 7yj)
a^2 + b^2 = (a + b)(a
Multiply. Write your answer as a fractionin simplest form. 8/15(−2/3)=
Answers
Answer:
-16/45
Step-by-step explanation:
8/15 x (-2/3)
multiplying a positive and a negative equals a negative
-8/15 x 2/3
multiply the fractions
-16/45
Answer:
-16/46
Step-by-step explanation:
If f(x) = 3[ x-2], what is f(5.9)
Answers
Answer:
f(x)=3[x-2]
So, f(5.9) = ?
f(5.9) = 3(5.9 - 2)
=3(3.9)
=11.7 = 12
so, the answer is 12.
Step-by-step explanation:
let me know if you need any other help:))
Answer:
9
Step-by-step explanation:
Edge 2020
THE ANSWER IS 9
~theLocoCoco
A reporter determines a baseball player’s batting average, which is a ratio of the number of hits to number of times at bat. The result is shown on a calculator as 0.212121....Write this repeating decimal as a fraction.
Answers
Answer:
21/99 or 7/33
Step-by-step explanation:
x = 0.212121
Then we multiple the decimal and x by hundred.
100x = 21.212121
Then we subtract the 21.212121 by 0.212121.
100x = 21.212121 - 0.212121
But when you are subtracting 100x, you need to subtract 100x by x because in the first step it said x = 0.212121.
100x - x = 21.212121 - 0.212121
You will have at the end is
99x = 21
Divide 99 on both side and you left with
21/99 or 7/33 simplified version
Raj paints 10 3/7 feet of his fence on Friday and 15 1/3 feet of his fence on Saturday.
How many feet of his fence did Raj paint on both days?
Answers
Answer: 25 16/21 feet
Step-by-step explanation:
10 3/7 + 15 1/3 = 25 16/21
NEED ANSWER ASAP!!! Do the data in this table show a function? If you switch the input and the output values is it a function?
Answers
Answer:
no
Step-by-step explanation:
no input can have diffrent outputs if you change the input values then yes it is a function hope this helps god bless
The two conditional relative frequency tables show the results of a neighborhood survey on the number and types of gardens in the community.
A 4-column table with 3 rows titled garden-type frequencies by column. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.28, 0.72, 1.0. The third column is labeled no vegetable garden with labels 0.22, 0.78, 1.0. The fourth column is labeled total with entries 0.25, 0.75, 1.0.
Table B: Garden-Type Frequencies by Row
A 4-column table with 3 rows titled garden-type frequencies by row. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.56, 0.48, 0.5. The third column is labeled no vegetable garden with labels 0.44, 0.52, 0.5. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Which table could be used to answer the question "Assuming someone has a flower garden, what is the probability they also have a vegetable garden?"
Table A, because the given condition is that the person has a flower garden.
Table A, because the given condition is that the person has a vegetable garden.
Table B, because the given condition is that the person has a flower garden.
Table B, because the given condition is that the person has a vegetable garden.
Answers
Answer:
C
Step-by-step explanation:
if youre looking on edge then yeah
Table B, because the given condition is that the person has a flower garden.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Now,
In Table A, there are frequencies by column .
The columns of the table are "Vegetable Garden" and "No Vegetable Garden".
It means if we assume some one as a Vegetable Garden or No Vegetable Garden as initial condition, then Table A works.
In Table B, there are frequencies by rows .
The columns of the table are "Flower Garden" and "No Flower Garden".
It means if we assume some one as a Flower Garden or No Flower Garden as initial condition ,then Table B works.
Hence, Table B could be used to answer the given question because the given condition is that the person has a flower garden.
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Ac is tangent to circle o at point c what is the length of ac?
Answers
Answer:
The Answer is 12
Step-by-step explanation:
Use Pythagorean theorem. AB=8 and BO=5 We still need to find AO
AO=AB+BO
8+5
AO=13
Now solve for AC
AC^2 + OC^2= AO^2
AC^2+5^2=13^2
AC^2+ 25=169
AC^2=144
AC= 12
I need help with this question ASAP for my homework
Answers
Answer:
Slope = 3
Step-by-step explanation: Use the slope intercept form
y= mx +b
Im 100% sure this is correct
Factor completely.
23 + 7x2 – 52 – 35 =
Pls help
Answers
Answer:
Cannot be factored further.
Step-by-step explanation:
I'm just gonna pretend that the equal sign isn't there.
First, simplify the numbers. when you simplify, you should get 7x^2-64.
This is the final. Your answer should be it cannot be factored further.
Answer:
-50
Step-by-step explanation:
First you have to find what 7 x 2 = (14). Then you take the 14 and add it to the 23 to get 37. You then have to subtract 52 from 37 and that gets you -15. Finally, you subtract 35 from -15 and you get your final answer of -50.
What is the solution to the equation 4(1/2) ^x-1 =5x+2
Answers
Answer:
-1
Step-by-step explanation:
Photomath
Answer:
A- 0.6
Step-by-step explanation:
Correct on edge
What is volume of a cylinder with base area 647 cm2 and a height equal to twice the radius? Give your answer in
terms of pi
A)1024
B)256
C)4096
D)512
Answers
Answer:
A)1024
Step-by-step explanation:
i got it right
What’s the equation
Answers
Answer:
A
Step-by-step explanation:
Total cost = number of items * constant price
t = n*9
t÷9 = n
What is the value of cos (120 degrees)?
a. 5.0
b. 8.7
c. -1.7
d. -0.5
Answers
Answer:
b. 8.7
Step-by-step explanation:
A large dog weighs 80 pounds. What is the dog’s weight in ounces? (16 oz = 1 lb) A.5 oz B. 10 oz C. 640 oz D. 1,280 oz
Answers
Answer:
1280 Oz - Option D
Step-by-step explanation:
16 ounces to a pound. 16 × 80 = 1280oz
Answer: D
If you convert it it would give you 1,280
In the trapezoid, what is the measure of 1?
85°
115°
90°
Answers
Answer:
115°
Step-by-step explanation:
all angles of a trapezoid add up to 360° and corresponding pairs of base angles add up to 180°. this means that 65° and angle 1 would have to add up to 180°
180 - 65 = 115°
Answer:
85°
Step-by-step explanation:
Since it is a trapezoid one pair of opposite sides will be parallel.
As, AB||CD,
95°+ m<1 = 180°( co- interior angles)
m<1= 180°- 95°
m<1= 85°Which angles are pairs of alternate exterior angles? Check all that apply.
4 lines intersect to form 16 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 9; 9, 10, 11, 12; 13, 14, 15, 16.
A: Angle5 and Angle11
B: Angle7 and Angle12
C: Angle11 and Angle16
D: Angle2 and Angle14
E: Angle4 and Angle6
F: Angle8 and Angle10
Answers
Answer:
A & E
Step-by-step explanation:
picture attachment...
Answers
Answer:
march 9th and april 9th
Step-by-step explanation:
Use multiplication in the distributive property to find the quotient 60÷4
Answers
Answer: 60 divided by 4 = 15
Step-by-step explanation:
60 divided by 4 is 15.
I multiply 4 and 10.
That gets me to 40.
Now I muplity 5.
It got me to 20.
Then I add 40 and 20.
Then I get 60. (I hope this helped!)
what quadrant is (-3,y) y
Answers
Its found in the second quadrant
35% off $85.98 I'm having trouble with this.
Answers
Answer:
Step-by-step explanation:
i asked siri 55.87
Answer:
The new price is $55.887
Step-by-step explanation:
Step 1: Find the discounted price
Make an equation
85.98 * (1 - 0.35) = x
85.98 * 0.65 = x
Multiply
85.98 * 0.65 = x
55.887 = x
Answer: The new price is $55.887
Leticia recently rented an office space and now needs someone to do weekly cleaning. She received these bids from two different cleaning services. Quick Clean charges a $30 cleaning supply fee for every visit and $20 per hour. Three Friends Cleaners provided the table below to show its cost. image 584f4e6957dd4bd891b08a92e88537ac Which statements comparing the costs of the two cleaners are true? Choose all that are correct. A If it takes 10 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean. B If the cleaning costs for each company were graphed, the y-intercepts would be the same. C If it takes 5 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean. D If the cleaning costs for each company were graphed, the graphs would intersect when x equals 6 hours. E Three Friends Cleaners charges $5 more per hour than Quick Clean.
Answers
Answer:
C
Step-by-step explanation:
I also did this question, and the answer was C
Whats the solution system? 2x + 5y = 14 x + 3y = 16
Answers
Answer:
Step-by-step explanation:
2x + 5y = 14 -------------(i)
x + 3y = 16 ----------------(ii)
To eliminate x, multiply the second equation by (-2)
(ii)*(-2) -2x - 6y = -32
(i) 2x + 5y = 14 { Now add & x is eliminated}
- y = - 18 {divide by (-1)}
y = 18
Plug in y =18 in Equation (i)
2x + 5*18 = 14
2x + 90 = 14
2x = 14 - 90
2x = -76
x = -76/2
x = -38
Answer:
Step-by-step explanation:
hello :
2x + 5y = 14...(*)
x + 3y = 16....(**)
multiply (**) by -2 : -2x-6y=-32 ...(***)
add(*) and (***) : -y=-18 so y = 18
put this value in to (*) : 2x+5(18)=14
2x = -76
x = - 38
Budget planners in two towns, Alphaville and Betaville, developed models to determine the budget surplus (in dollars) for a year based on the tax revenue (in thousands of dollars) for the year. Using historical data, Alphaville’s planner produced the model -2x2+ 500x, while Betaville’s planner produced the model x2- 100x + 10,000. What expression gives how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue? If the tax revenue that year in each town is $75,000, how much greater is Alphaville’s budget surplus than Betaville’s that year?
Please help! I WILL MARK BRAINLIEST
Answers
Answer:
(a)[tex]-3x^2+150x-10000[/tex]
(b)[tex]-\$16,863,760,000[/tex]
Step-by-step explanation:
Alphaville's Budget Surplus Model is [tex]-2x^2+ 500x[/tex]
Betaville's Budget Surplus Model is [tex]x^2- 100x + 10000.[/tex]
We want to determine the expression that shows how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue.
To do this, we subtract Betaville's Model from Alphaville's model.[tex]-2x^2+ 500x-(x^2- 100x + 10000)\\[/tex]
Opening the brackets
[tex]-2x^2+ 500x-x^2+100x - 10000\\[/tex]
Collect like terms and simplify
[tex]-2x^2-x^2+100x + 500x- 10000\\=-3x^2+150x-10000[/tex]
The expression that shows how much greater Alphaville's Budget is:
[tex]-3x^2+150x-10000[/tex]
(b) If the tax revenue that year in each town is $75,000
We want to evaluate the expression derived above when the tax revenue that year in each town is $75,000 i.e.at x=75000
[tex]-3x^2+150x-10000\\=-3(75000)^2+150(75000)-10000\\=-\$16,863,760,000[/tex]
Which coordinate pair fits the set of coordinates (0,4), (-2, 1), (-4,-2)} defined by a linear function?
(5, 12)
(-6,-5)
(-3,-1)
(-6,-5)
Answers
Answer:
D.(-6,-5)
Step-by-step explanation:
y-intercept = 4
slope(m) =
1 - 4
-2 - 0
=
3
2
thus,
y =
3
2
x + 4
then, plug in values