Mathematics College

A pair of dice are rolled. What is the probability of rolling 4 or greater?

A: 5/36
B: 1/18
C: 1/36
D: 11/12

Answers

Answer 1
Answer: option D: 11/12

Explanation:

1) The sample space is formed by 36 pairs: 6×6 = 36.

2) Roolling 4 or more is the same that not rolling 3 or less

3) Rolling 3 or less are (1,1), (1,2), and (2,1). Those are 3 outcomes out of 36.

4) Therefore, not rolling 3 or less (the same that rolling 4 or more) has 36 - 3 = 33 outcomes out of 36.

5) The probability of 33 out of 36 is 33/36

6) Simplify the fraction 33/36 = 11/12

And that is the answer.


Related Questions

The sum of three numbers is 12. The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is 59. The difference between 8 times the first number and the second number is 23. Find the three numbers.

Answers

A suitable calculator can row-reduce the augmented matrix.

first number: 3
second number: 1
third number: 8
Final answer:

The question requires solving a system of linear equations which results from given conditions on three unknown numbers. The unknowns can be represented by the letters x, y, and z which need to be solved for by leveraging the knowledge of algebra.

Explanation:

The question given is a classic example of a system of linear equations. Let's represent the first number as x, the second number as y, and the third number as z. From the question, we have the following equations:

[tex]x + y + z = 12 \\2x + 5y + 6z = 59 \\8x - y = 23[/tex]

Solving this system, we can find the values for x, y, and z which represent the three numbers. One of the methods for solving such a system is substitution or elimination method. Nevertheless, the solving such system requires a strong understanding of basic algebra including addition, subtraction, multiplication, and division of numbers and algebraic expressions.

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he table below shows 10 data values: What values of minimum, Q1, median, Q3, and maximum should be used to make a box plot for this data? (1 point) 301 345 305 394 328 317 361 325 310 362 Minimum = 300, Q1 = 345, median = 330, Q3 = 317, maximum = 362 Minimum = 300, Q1 = 317, median = 330, Q3 = 345, maximum = 362 Minimum = 301, Q1 = 310, median = 326.5, Q3 = 361, maximum = 394 Minimum = 301, Q1 =361, median = 326.5, Q3 = 310, maximum = 394

Answers

From the given data sets we shall obtain the answers as follows:
301 345 305 394 328 317 361 325 310 362
Re-arrange the data in ascending order:
301, 305, 310, 317,325, 328, 345, 361, 362, 394
from the above we see that:

Minimum value=301

Q1=310

median=(325+328)/2=326.5

Q3=361

Maximum value=394

Thus the box plot will be as follows:

Answer:

the third one its 100% verified

Step-by-step explanation:

In rotation, which point is moved the greatest?

Answers

The point furthest from the centre of rotation.

Which of the following comparisons is False
A..... 5.c is Warner than 5.F
B......15.c is cooler than 60.F
C........30.c is Warner than 90.F
D.......35.c is cooler than 100.F

Answers

A graph shows the first comparison is true, and the C temperature is cooler than the F temperature for the remaining comparisons.

The comparison that is FALSE is ...
  C.....30 °C is warmer than 90 °F

_____
30 °C = 86 °F
32.2 °C ≈ 90 °F

a weightlifter uses 45 pound plates and 10 pound plates to lift 260 pounds .let x represent the number of 45 pounf weights and y represents the number of 10 pound weights .

part 1 Rights an equation is standard form that represents the situation.

part 2. if the weightlifter uses eight 10 pound weights, how many 45 pound weights did he use???????

Answers

Part 1.
The total weight is given by ...
  45x +10y = 260


Part 2.
The solution to the equation when y=8 is
  45x +10*8 = 260
  45x = 180
  x = 180/45 = 4
The weightlifter used 4 45-pound weights.
Final answer:

A standard form equation representing the weightlifting situation is 45x + 10y = 260. If eight 10-pound plates are used, the number of 45-pound plates used is 4.

Explanation:

The situation given can be translated mathematically to an equation in standard form as follows: 45x + 10y = 260. This equation signifies that the total weight lifted (260 pounds) is equal to the sum of the weight of the 45

pound plates

(which each weighs 45 pounds multiplied by the number of plates, represented by x) and the 10 pound plates (which each weighs 10 pounds multiplied by the number of plates, represented by y). In the second part of the question, we're told that the weightlifter uses eight 10-pound weights, so y=8. Substituting y=8 into the equation from above, it simplifies to 45x + 80 = 260, which solves to x = 4. So, if the weightlifter uses eight 10 pound plates, then he uses four 45 pound plates.

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1A. Nan and Soto are designing a coffee table using four inch tiles Nan uses 30 tiles and soto uses half as many how many total tiles did they use

1B. If the area of the table is 36 inches by 24 inches will they have enough towels to cover the table if not how many more will they need

2 different questions

But they are related

Answers

1A= 45 tiles because if nan used 30 and soto used half as many you would do 30 divides by 2 to get half of it which would be 15 then add 30=15 to get 45 tiles

2B= what we know
they used 45 tiles each tile is 4 inches which they have covered 180 square inches
what the table is 36*24= 864 squared inches so they will need 171 more tiles because what you do is subtract what they already covered by what the area of the table is actually so do 864-180 which equals 684 then divide it by 4 because that's how long the tiles are to get 171

Nan and Soto used a total of 45 tiles. However, to cover a coffee table that has an area of 36 inches by 24 inches, they need 54 tiles, so they will need to acquire 9 more tiles.

1A. Nan uses 30 tiles and Soto uses half as many, which means Soto uses 15 tiles. So, they used a total of 45 tiles (30 + 15).1B. The area of the coffee table is 36 inches by 24 inches, which equals 864 square inches (36 x 24). Each tile is a four-inch square, so it covers an area of 16 square inches (4 x 4).

To find out how many tiles are needed, we divide the total area of the table by the area of one tile: 864/16 = 54 tiles. Since Nan and Soto have only 45 tiles, they need an additional 54 - 45 = 9 more tiles to cover the table.

Hey can you please help me posted picture of question

Answers

The answer is theoretical
When the probability is calculated based on the results of an experiment it is termed as Empirical Probability.

While, in theoretical probability no experiment is performed, the results are drawn based on our knowledge of the event.

In the given case, we do not perform the experiment , rather we use our knowledge of alphabets to find the probability.

So, the correct answer is option A

You have been asked to calculate the break-even point for a new line of souvenir t-shirts. the selling price will be $25 per shirt. the labor costs will be $5 per shirt. the administrative costs of operating the company are estimated to be $60,000 annually and the sales and marketing expenses are $20,000 a year. additionally, the cost of materials will be $10 per shirt. what is the break-even quantity?

Answers

200000000000000000000000000000000000000000000000000000000

PLZ HELP ASAP INSCRIBED QUADRILATERALS

Answers

For an inscribed quadrilateral, opposite internal angles are supplementary and sum up to 180 degrees. In this case, angles U & K add up to 180:
85 + K = 180
K = 95 degrees

Similarly, angles D & C would also add up to 180, so D + 73 = 180, and D = 107.

PLEASE PLEASE HELP ASAP

Answers

the answer is letter B
The distance of the loops form the following sequence:

2.40, 2.44, 2.48, 2.52, 2.56, ...

If we observe these terms, we'll see that the difference between two consecutive terms is the same i.e 0.04. Such a sequence is known as Arithmetic sequence.

We have to find the radius of 95th loop. This means we have to find the 95th term of the sequence.

Using the formula of Arithmetic Sequence, we can write:

[tex] a_{n} = a_{1}+(n-1)*d \\ \\ a_{95}=2.40+(95-1)*0.04 \\ \\ a_{95}=6.16 [/tex]

Thus, the radius of 95th loop of paper will be 6.16 centimeters.

So, the correct answer is option B

Hey can you please help me posted picture of question

Answers

Shifting 3 units to left means addition of 3 in x. And shifting 3 units up means addition of 3 to the function value.

So, the resulting function after these two translations will be:

[tex]G(x)= \frac{1}{x+3}+3 [/tex]

3 is added to x in denominator, and a 3 is added to the entire function value.

So, option D gives the correct answer
The correct answer is the las option (Option D), which is shown below:

 D. G(x)=(1/(x+3))+3

 The explanation is the following:

 1. You have the following function of the hyperbola given in the problem:

 G(x)=1/x 

 2. When you plot the function above you obtain the graph shown in the first figure attached.

 3. If you shifted the function of that hyperbola 3 units to the left and 3 units up, you obtain the graph shown in the second figure attached.

 4. Therefore, as you can see, the correct answer is the option mentioned before.

Find the amount of annuity.
Amount of each deposit: $295
deposited: quarterly
Rate per year: 10%
Number of years: 6
Type of annuity: due

Answers

295×((((1+0.1÷4)^(4×6)−1)
÷(0.1÷4))×(1+0.1÷4))
=9,781.54

We need to find the future value of annuity due with the following given values :-

Payment, Pm = 295 dollars.

N=4 (for quarterly)

Rate at 10%, r = 0.10/4 = .025

Time for 6 years, T = 6x4 = 24.

Future Value formula is :-

[tex]FV_{ad}=P_m*(1+r)*[\frac{(1+r)^T-1}{r} ] \\\\ FV_{ad}=295*(1+0.025)*[\frac{(1+0.025)^{24}-1}{0.025} ] \\\\ FV_{ad}=295*(1.025)*[\frac{(1.025)^{24}-1}{0.025} ] \\\\ FV_{ad}=295*(1.025)*[\frac{(1.80872595)-1}{0.025} ] \\\\ FV_{ad}=295*(1.025)*[\frac{0.80872595}{0.025} ] \\\\ FV_{ad}=295*(1.025)*(32.34903798) \\\\ FV_{ad}=9,781.54 \;dollars[/tex]

Hence, the final answer is 9,781.54 dollars.

When flying at an altitude of 5 miles, the lines of sight to the horizon looking north and south make about a 173.7 degree angle. how much of the longitude line directly under the plane is visible from 5 miles high?

Answers

Final answer:

The visible portion of the longitude line under the plane from an altitude of 5 miles is approximately 320.38 kilometers, using the formula D = 112.88 km √h where h is the altitude in kilometers.

Explanation:

The question asks how much of the longitude line directly under the plane is visible from an altitude of 5 miles high. To find this distance, we can use the formula given for horizon distance: D = 112.88 km √h, where h is the altitude in kilometers. Since 5 miles is approximately 8.05 kilometers, we can calculate the distance to the horizon by taking the square root of the altitude and multiplying by 112.88 kilometers.

First, calculate the square root of the altitude:
√8.05 ≈ 2.838.

Then, we multiply by the constant:
D ≈ 112.88 km × 2.838 ≈ 320.38 km.

Therefore, from an altitude of 5 miles, the visible portion of the longitude line directly under the plane is approximately 320.38 kilometers long.


If prices increase at a monthly rate of 0.5%, by what percentage do they increase in a year?

What is the formula to solve?

Answers

it will increase by 60% and multiply 0.5 by 12 = 60

We have been given that prices increase at a monthly rate of 0.5%.

Number of months in a year = 12

Let us suppose the item cost $1, then the percentage is given by

[tex]P=P_0(1+r)^n\\ \\ P=1(1+0.005)^{12}\\ \\ P=1.062[/tex]\\

Therefore, increase in a year is

[tex]1.062-1\\ =0.062[/tex]

Therefore, the required percentage in a year is 6.2%

What is 40,630 written in scientific notation?

Answers

4.063 x 10*4

Always remember if the decimal is being moved to the left, the exponent will be positive.

Answer:

4.063 x 10*4

Step-by-step explanation:

take the big number and move it from the exponent then bwa

Which algebraic expression represents “the bagels were divided equally into fifteen bags”?
15 + b
157b
Which algebraic expression represents “the bagels were divided equally into fifteen bags”?
a. 15 + b
b. 157b
c. 15/b
d. b/15

Answers

d.b/15 because a means addition b means multiply and c means 15÷bagels

Answer:

Option D [tex]\frac{b}{15}[/tex]

Step-by-step explanation:

Let

b-----> the number of bagels

we know that

To find the algebraic expression of "the bagels were divided equally into fifteen bags" , divided the number of bagels by fifteen

so

[tex]\frac{b}{15}[/tex]


A teacher took a survey and found that 16 of 25 students liked a certain snack item best. Make a prediction of how many students liked the snack item best if there are 225 students.

Answers

For this case we first look for the percentage of students who liked the snack.
 We have then:
 (16/25) * (100) = 64%
 Then, for 225 students we have:
 (0.64) * (225) = 144
 Answer:
 144 of 225 students liked a certain snack item best

15 POINTS I REALLY NEED HELP!!!!!!!!!!!!!!!!!!!!!The solution to 16x = 48 is x = ___. (Only input the number.) Numerical Answers Expected! Answer for Blank 1:

Answers

Hello there, and thank you for asking your question here on brainly.

Short answer: 3

Why?

You can find this out by dividing 48 and 16. The number you get from it is how much 16s are in 48, which is the answer to our question. (48 / 16 ==> 3) Check: 16 * 3 = 48. This is correct.

Hope this helped you! ♥
x=3 but i have to write more so I can answer.

please answer the question in the picture above

Answers

The difference between the masses is
  4.55·10¹³ kg -1.78·10¹² kg
  = 4.55·10¹³ kg - 0.178·10¹³ kg
  = (4.55 -0.178)·10¹³ kg
  = 4.372·10¹³ kg

Rounded to the appropriate precision, the mass of the Antarctic iceberg exceeds that of the Rock of Gibraltar by ...
  4.37·10¹³ kg

Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6).

Answers

A graph shows the 2nd choice is appropriate.
   (-0.73, 0, (2.73, 0)

Kim is a single woman in her mid-20s working while taking college credits to earn a bachelors degree. She is financing her education herself through both her income and taking out student loans. Her earnings in 2010 were $30,000 before taxes. She paid $5000 intuition and paid $350 interest on her student loan. In filing her state tax return form Kim takes a deduction for tuition paid and the interest paid on the loan. In taking these two deductions by how much did she lower taxable income? What is her taxable income now? What is her marginal tax rate? What will she owe in taxes for 2010?

Answers

Previous taxable income - 30,000
Less: Deductions - 5,000 + 350 = 5,350
New taxable income - 24,650
Multiply: Marginal tax rate - 15%
Tax - 3,697.50

1.) She lowered her taxable income by 5,350.
2.) Her taxable income now is 24,650.
3.) Her taxable income falls under the income range of 8,375 - 34,000, so her marginal tax rate is 15%.
4.) She will have to pay 3,697.50 for her tax.

What is the area of a parallelogram that has a base of 6 cm and a height of 4 mm

Answers

The answer is 24 because you multiply the base by the height.
The area of a parellelogram uses the equation of area= Base times Height. So 6 multiplied by 4 is the final answer of 24.


A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.
a
By what percentage is the grapefruit heavier than the apple?
PLS answer this soon... before an hour at most.

Answers

To solve this problem you must apply the proccedure shown below:

 1- Let's give values to the weight of each fruit:

 orange=0.5 kg
 grapefruit=(0.5)+(0.08)(0.5 kg)=0.54 kg
 apple=(0.5)-(0.1)(0.5 kg)=0.45 kg

 2- Therefore, you have:

 %=100%-(apple/grapefruit)x100
 %=100%-(0.45/0.54)X100
 %=16.66%

 The answer is: 16.66%

Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios. 6 ounces of pistachios cost $7.50 mc022-1.jpg Unit price = $0.80 per ounce mc022-2.jpg What was his first error? The price per ounce should have been $45.00 per ounce. The price per ounce should have been $1.25 per ounce. The final cost should have been $20.00. The final cost should have been $16.80.

Answers

The price per ounce should have been 1.25 per ounce

What is the ratio of 5 gallons blue paint to 9 gallons of yellow paint?

Answers

Wouldn't you divide? If so, 5/9 = 0.6
The ratio would be 1:1.8 (1 to 1.8).

This can be found by dividing 5 by 5 ( making the ratio say 1 to...) and dividing 9 by 5 giving you 1.8. Thus makin* the ratio 1:1.8 or 1 to 1.8.

I hope this helps!

describe how you shaded bars to show data

Answers

you shade them to see what options u have it helps you solve a problem

Evaluate the expression 2x - (4y - 3) + 5xz, when x = -3, y = 2, and z = -1

Answers

2x - (4y - 3) + 5xz, when x = -3, y = 2, and z = -1
plug in 
= 2(-3) - [4(2)- 3] + 5(-3)(-1)
= -6 - 5 + 15
= 4

answer
4

How many ways can you choose 3 of of 7

Answers

7C3 = 7!/(3!*(7-3)!) = 35

There are 35 ways to choose 3 from 7.

Find a cartesian equation for the curve. r = 9 sin(θ)

Answers

For this case we have the following equation:
 r = 9 sin (θ)
 In addition, we have the following change of variables:
 y = r * sine (θ)
 Rewriting the equation we have:
 r = 9 sin (θ)
 r = 9 (y / r)
 r ^ 2 = 9y
 On the other hand:
 r ^ 2 = x ^ 2 + y ^ 2
 Substituting values:
 x ^ 2 + y ^ 2 = 9y
 Rewriting:
 x ^ 2 + y ^ 2 - 9y = 0
 Completing squares:
 x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
 Rewriting:
 x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
 4x ^ 2 + (2y-9) ^ 2 = 81
 Answer:
 The Cartesian equation is:
 4x ^ 2 + (2y-9) ^ 2 = 81

Find the slope of the line.

Answers

The points we can clearly see are (-2,-2) and (0,-3). You have to rise up 2 points and got to the left 4, so the rise over run is 2 over -4. Simplify this to -1/2, so the slope is negative 1/2.

Answer:

The slope of the line is [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

To know the slope of a line we can have the equation or to know points of the line. In this case from the graph we can get to points (-4,-1) and (0,-3). Having this and using the equation to calculate the slope, we have:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Defining:

[tex](x1=-4,y1=-1)[/tex] and [tex](x2=0,y2=-3)[/tex]

Replacing this values in the initial equation, this is:

[tex]m=\frac{-3-(-1)}{0-(-4)}[/tex]

[tex]m=\frac{-2}{4} =-\frac{1}{2}[/tex]

The slope of the line is [tex]-\frac{1}{2}[/tex]

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