Two dice are rolled, find the probability that the total showing is less than 10.

Answers

Answer 1

The probability that the total showing is less than 10 is 5/6.

What is a expression? What is a mathematical equation? What is Probability?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A) = n(A)/n(S)

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes

Given are two dices rolled.

The total number of favorable outcomes can be calculated as -

[a] = (1,1) to (1,6) = 6

[b] = (2,1) to (2,6) = 6

[c] = (3,1) to (3,6) = 6

[d] = (4,1) to (4,5) = 5

[e] = (5,1) to (5,4) = 4

[f] = (6,1) to (6,3) = 3

n(A) = [a] + [b] + [c] + [d] + [e] + [f] =  6+6+6+5+4+3 = 30

n(S) = 36

So, the probability of occurrence of an event 'A' -

P(A) = n(A)/n(S)

P(A) = 30/36

P(A) = 5/6

Therefore, the probability that the total showing is less than 10 is 5/6.

To solve more questions on Probability, visit the link below -

brainly.com/question/24028840

#SPJ1


Related Questions

A new employee charged $7220 on his credit card to relocate for his first job. After noticing that the interest rate for his balance was 27% compounded monthly, he stopped charging on that account. He wishes to pay off his balance in years using automatic payments sent at the end of each month.
a. What monthly payment must he make to pay off the account at the end of 4 ​years?
b. How much total interest will he have​ paid?

Answers

a. The monthly payment must be $193.53 in order to pay off the account at the end of 4 years.

b. The total interest paid will be $4372.02.

Its graph is a parabola tangent to the x-axis at (4,0) with y-intercept 6. find the equation showing the steps​

Answers

The equation of the line with y - intercept (0, 6) is [tex]y = -\frac{3}{2}x + 6[/tex].

What is tangent?

The straight line that "just touches" the curve at a given point is referred to as the tangent line to a plane curve in geometry. It was defined by Leibniz as the path connecting two points on a curve that are infinitely close together.

Given:

Graph is a parabola tangent to the x-axis at (4,0) with y-intercept 6.

That is there are two points (4, 0) and (0, 6).

From these two points we have to find the slope of the line.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{0-6}{4-0} = -\frac{6}{4} = -\frac{3}{2}[/tex]

Now to use point slope form of the line.

[tex]y-y_1 = m(x-x_1)\\ y - 6 = -\frac{3}{2}(x-0)\\ y - 6 = -\frac{3}{2}x\\ y = -\frac{3}{2}x + 6[/tex]

Hence, the equation of line is, [tex]y = -\frac{3}{2}x + 6[/tex].

To know more about tangent, click on the link

https://brainly.com/question/4470346

#SPJ1

PLEASE HELP ME!!! I WILL GIVE YOU BRAINLIST!!!


Which triangle makes this statement true?

ΔABC ≅ _____

Answers

Answer:

A.

Step-by-step explanation:

the symbol means "congruent".

that means that both shapes have the same angles and the custodian same side lengths (even if the shape is turned in sine way, to you can reorient in a way, so that it will cover the other shape 1:1).

the only triangle with the same measurements everywhere is A. triangle EFG.

B and C (RST and XYZ) are similar triangles with ABC. the angles are the same, and all side lengths have the same scaling factor to the other shape.

D (KLM) is nothing at all to ABC.

i’ve been struggling with this and it’s due soon! pictures are below of the question.

Answers

a) If the sum of the square of the larger side is smaller than the squares of          the shorter sides, then the triangle is an acute triangle.

b) To determine if a triangle is a right triangle.

c)If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.so, the second option is correct in the picture.

What is converse of the Pythagorean Theorem?

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Given,Pictures

According to the  converse of the Pythagorean Theorem.

a) If the sum of the square of the larger side is smaller than the squares of          the shorter sides, then the triangle is an acute triangle.

b) To determine if a triangle is a right triangle.

c)If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.so, the second option is correct in the picture.

Therefore,

a) If the sum of the square of the larger side is smaller than the squares of          the shorter sides, then the triangle is an acute triangle.

b) To determine if a triangle is a right triangle.

c)If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.so, the second option is correct in the picture.

To find more question related to converse of the Pythagorean Theorem click on the link below:

https://brainly.com/question/343682

#SPJ1

need help assap look at attachment

Answers

Answer: See the attachment

Step-by-step explanation: You would use the formula y=mx+b and since b is the y-intercept you would plug that into the equation and then plug in 3/4 as m resulting in

y=3/4x -1 then you just graph it!

Place a point on -1 in the y axis, (0,-1) then go up three units up and four units right, (4,2)

julio pays 12.10 for 2.5 pounds of fish. what is the price per pound of fish

Answers

Answer:

$4.84 per pound

Step-by-step explanation:

divide 12.10 by 2.5 and you get 4.84, which is the price per pound

Answer:

12.1 × 2.5 = 30.25

Step-by-step explanation:

12.1 × 2.5

12.1 has 1 decimal place

2.5 has 1 decimal place

Therefore, the answer has 2 decimal places

= 30.25

27. A boy and his sister together weighs 60kg. if the boy is 6.8kg heavier than his sister, calculate his sister's weight. A. 26.6kg 8.23.2kg C. 33.4kg D. 36kg

help uhh don't worry i won't be asking all the time it's just the ones i don't understand​

Answers

Okay, so i’m not entirely sure this is the correct answer but, I divided 60 by 2 and got 30. Then i subtracted 6.8 from 30. Then I wound up with 23.2kg

5(2x - 1) - 11x

evaluate the above for x = 6

Answers

Hence, the solution is [tex]-11[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

[tex]5(2x - 1) - 11x[/tex]

When [tex]x=6[/tex]

[tex]5(2x-1)-11x=5(2(6)-1)-11(6)\\=5(12-1)-66\\=5(11)-66\\=55-66\\=-11[/tex]

Hence, the solution is [tex]-11[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ1

What is the solution of this inequality?

r−6>−11

Drag and drop the choices to correctly complete the inequality.
Plss help me

Answers

The solution to the inequality r - 6 > −11 will be r > -5.

How to solve inequality?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Based on the information, the solution to the inequality r - 6 > −11 will be solved thus:

r - 6 > −11

Collect the like terms

r > - 11 + 6

r > -5

Learn more about inequalities on

brainly.com/question/24372553

#SPJ1

HELP PLSPLSPSL QUICK

Answers

Answer:

B. y > 4x + 2

Step-by-step explanation:

The area of the graph above the dotted line is shaded; therefore, this inequality is greater than. The dotted line's slope is 4, hence x is multiplied by 4, and its y-intercept is at 2, hence + 2 on the right side.

The function f(x) is defined as f(x) = One-third(6)x. Which table of values could be used to graph g(x), a reflection of f(x) across the x-axis?

Answers

The table of values that could be used to graph g(x), a reflection of f(x) across the x-axis is table (c)

How to determine the table of values?

From the question, we have the following equation that can be used in our computation:

f(x) = One-third(6)x

When this statement is represented as an equation, we have the following representation

f(x)= 1/3(6)ˣ

The transformation is given as

A reflection of f(x) across the x-axis

This means that

g(x) = -f(x)

So, we have

g(x) = -1/3(6)ˣ

What this means is that the values of f(x) are negated to get g(x)

The table that represents this is table (c)

Hence, the table of values is table (c)

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Answer: C

Step-by-step explanation:

Letters are converted into base two numbers for computer processing The capital letters A through Z are assigned 65 through 90, with each number expressed in base two. Thus, the binary code for A (55) is
1000001. Similarly, the lowercase letters a through z are assigned 97 through 122 in base two. Write the binary representation for the following letter
H

Answers

Answer: 1001000

Step-by-step explanation:

IF A= 65

   H=72

   BINARY OF H= 72 = 1001000

30 PTS, SHOW YOUR WORK How much carbon dioxide will you prevent from entering the atmosphere in one year, if you replace a 100-watt light bulb with a CFL bulb that uses 30 watts in a fixture that you have on 8 hours per day? (round to the hundredths place)
(1.37 pounds of CO2 per kWh)

Answers

The amount of carbon dioxide will you prevent from entering the atmosphere in one year is 280028 lb

How much carbon dioxide will you prevent from entering the atmosphere in one year?

We are given 1.37 pounds of carbon dioxide per kWh

Using a 100-watt light bulb daily for 8 hours, for a year, the amount of carbon dioxide produced will be:

100 × 1.37 × 8 ×365 = 400040 lb

Using a 30-watt CFL bulb for 8hrs/ day for a year, the amount of carbon dioxide produced will be:

30× 1.37 × 8 × 365 = 120012 lb

Therefore, carbon dioxide prevented:

= 400040-120012

= 280028 lb

Learn more about carbon dioxide on:

https://brainly.com/question/25982723

#SPJ1

the sign at the garbage sale said 12 paper back books could be purchased for 8$ how much 3 paper backbooks cost

Answers

[tex]\begin{array}{ccll} books&\$\\ \cline{1-2} 12 & 8\\ 3& x \end{array} \implies \cfrac{12}{3}~~=~~\cfrac{8}{x} \\\\\\ 4 ~~=~~ \cfrac{ 8 }{ x }\implies 4x=8\implies x=\cfrac{8}{4}\implies x=2[/tex]

Answer:

2$

Step-by-step explanation:

If 12 paperback books could be purchased for 8$,

We need to divide by 4 on each side to find the answer.

Therefore, 3 paperback books costs 2$.


I would appreciate it if you mark my answer as brainliest.

Michael went shopping for a new video game because of a sale. The price on the tag was $46, but Michael paid $34.50 before tax. Find the percent discount.

Answers

The discount percentage offered on the new video game as of a sale is 75%.

Explain the term discount percentage?When a product is offered at a discount, the seller is reducing the product's price from what it was originally listed for. The percentage discount just on product is determined by the discount amount stated as a percentage of the initial price.

For the stated question-

The listed price on the video game = $46.

price paid exclusive of tax = $34.50.

Let 'x' be the percentage discount of the listed price.

Then,

x% of 46 = 34.50

x = 34.50 x 100 / 46

x = 75%

Thus, the discount percentage offered on the new video game as of a sale is 75%.

To know more about the discount percentage, here

https://brainly.com/question/843074

#SPJ1

NEED HELP!! Consider the following quadratic function.
f(x)= -3x^2 - 30x - 74
Write the equation in form f(x) = a (x - h)^2 +k. Then give the vertex of its graph.

Answers

As per the question, the solution to the equation f(x) = a(x-h)2+k is y = 3(x+5)2 -1.

What is an equation?

Equations are mathematical expressions with two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be similar to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a simple fundamental equation.

As per the given values mentioned in the question,

a=3, b=30, c=74.

To fix this issue, employ the Vertex Formula,

(-b/(2a)) , f(-b/(2a))

-b/(2a)

= -(30)/(2 × 3)

h = -5.

f(-b/(2a))

= 3(-5)² + 30(-5) + 74

k = 75 +-150 +74

k = -1.

Vertex, V = (h,k)

V = (-5,-1).

To know more about Equation:

https://brainly.com/question/29657983

#SPJ1

Help finding answer to problem

Answers

Supplementary Angles

Supplementary angles are angles that have a sum of 180 degrees. They are formed on a straight line.

Solving the Question

Looking at the given diagram, we can notice how angle SUV and SUT are supplementary angles. We know this because they form the straight line, VT.

We are given angle SUT, which is 58 degrees.

Because angles SUV and SUT have a sum of 180 degrees, we can solve for angle SUV by subtracting 58 from 180:

180 - 58 = 122

Therefore, angle SUV is 122 degrees.

Answer

122 degrees

Answer:

Angle SUV = 180 - 58

= 122° (adjacent angles on a straight line)

I need help, can someone help me

Answers

The answer is everything

SOLVE Y
4y + 10 = -10 + 6y
Y =

Answers

Answer: The answer is y=10.

Step-by-step explanation:

4y + 10 = -10 + 6y First subtract 4y from both sides.

10 = -10 + 2y Then, add 10 to both sides.

20 = 2y Finally, divide both sides by 2.

y = 10.

A company orders 25 boxed lunches from a deli for $208.75. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?

Answers

To get the unit cost you write what you know as a division problem

208.75 / 25
= 8.35

Meaning the unit cost for each boxed lunch is $8.35

Answer:

8.35

A company orders 25 boxed lunches from a deli for $208.75

What do we need to do to find the unit cost?

Given:

[tex]25\\208.75[/tex]

We need to find the cost.

Therefore, we need to work on the numbers we are given:

If each boxed lunch costs the same amount, then we need to divideWe have to divide the numbers given.$208.75 / 25 = 8.35

Therefore, the unit cost is 8.35

A population of lizards in a large region doubles every year. The number of lizards can be
modeled by the equation y = 500 * 2 ^ x where
× is the number of vears after a researcher
measures the population size . When x = - 3
-3what does the value of y represent ?

Answers

The value of y when x = -3 represents that the population of the lizard three years before the researcher measures the population size is 63

How to interpret the function at x = -3?

From the question, we have the following parameters that can be used in our computation:

y = 500 * 2 ^ x

The above equation is an exponential function

Such that

x is the number of years after a researcher measures the population size

When x = -3, we have the equation to be

y = 500 * 2^-3

Evaluate the product

y = 62.5

Approximate

y = 63

This means that the value of y at x = -3 is 63

Read more about exponential functions at

https://brainly.com/question/11464095

#SPJ1

List the percent decrease for each of the following A year old $30,000 Subaru selling for $24,500

Answers

well, the decrease is really 30000 - 24500 = 5500.

now, if we take the 30000 to be the 100%, what is 5500 off of it in percentage?

[tex]\begin{array}{ccll} a&b\\ \cline{1-2} 30000 & 100\\ 5500& x \end{array} \implies \cfrac{30000}{5500}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 60 }{ 11 } ~~=~~ \cfrac{ 100 }{ x }\implies 60x=1100\implies x=\cfrac{1100}{60}\implies x=\cfrac{55}{3}\implies x=18\frac{1}{3}[/tex]

What is one over 2 X -5 equal 10 -3 over 4X

Answers

The value of x is 15 if the expression is  1/2x−5=10−3/4x after applying the arithmetic operation.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

1/2x−5=10−3/4x

After solving:

5x/4 = 15

5x = 60

x = 60/5

x = 12

Thus, the value of x is 15 if the expression is  1/2x−5=10−3/4x after applying the arithmetic operation.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

100 Points
What is the value of the logarithmic or exponential expression?
Select True or False for each statement

Answers

Answer:

True, False, False

-------------------------------------------

Let's simplify left sides of each statement and compare with right sides:

[tex]3^{5log_32}=3^{log_32^5}=3^{log_332}=32 \implies True[/tex][tex]2 ln\ e^{1/4}=2*1/4*ln\ e^{}=2*1/4*1=1/2\implies False[/tex][tex]e^{2ln e-1}=e^{2*1-1}=e^{2-1}=e^1=e \implies False[/tex]

In Exercises 1 and 2, classify the triangle by its sides and by measuring its angles.

Answers

Figure 1 is representing a right-angle triangle and figure 2 is representing the isosceles triangle.

What is a triangle?

The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the given diagram in the question,

For figure 1.

It is a right-angle triangle because it contains an angle of 90°.

For figure 2.

It is an isosceles triangle because according to the figure its two sides are the same which indicates that it is an isosceles triangle.

To know more about triangles:

https://brainly.com/question/2773823

#SPJ1

How many lines of symmetry does a peace sign have

Answers

Answer:

A peace sign has one line of symmetry.

The one line is up and down in the center.

Hope this helps! :D

Step-by-step explanation:

Question
Evaluate the expression when b=9 .
24/b+8 =

Answers

The evaluated expression of 24 / b + 8 when b = 9 is [tex]10\frac{2}{3}[/tex]

How to evaluate an expression?

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) .

In other words, an expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.

Therefore, let's evaluate 24 / b + 8 when b = 9

Hence,

[tex]\frac{24}{9}+8 = \frac{24+ 72}{9}=\frac{96}{9} = 10\frac{6}{9}=10\frac{2}{3}[/tex]

learn more on expression here: https://brainly.com/question/11569874

#SPJ1

A jewelry designer plans to make a triangular pendant out of gold wire. The wire costs​ $31.65 per centimeter. What is the possible range of costs for the​ wire?

The wire can cost more than $____ and less than $____

Answers

The wire used for the triangular pendant can have a cost more than 664.65 USD and less than 791.25 USD.

How to determine the possible lengths of the missing side

In this problem we find the case of a triangle, in which the length of two sides are known and we need to determine the range of costs associated to the set of all possible triangles. This can be derived by the geometric system described in the image attached below. The minimum and the maximum costs of the pendant:

θ = 0°

l = 10.5 cm - 2.5 cm

l = 8 cm

s = 10.5 cm + 8 cm + 2.5 cm

s = 21 cm

C = (31.65 USD / cm) · (21 cm)

C = 664.65 USD

θ = 180°

l = 10.5 cm + 2.5 cm

l = 13 cm

s = 10.5 cm + 2.5 cm + 12.5 cm

s = 25 cm

C = (31.65 USD / cm) · (25 cm)

C = 791.25 USD

To learn more on triangles: https://brainly.com/question/2272632

#SPJ1

A town has a population of 17000 and grows at 3% every year. What will be the
population after 10 years, to the nearest whole number?

Answers

If the population grows 3% every year, then each year's population is 103% of the previous year's population.  This gives us the exponential function:    

        [tex]f(x) = 17000 (1.03)^x[/tex]

17000 for the current population, 1.03 growth factor for the 103%, raised to the x power because we'll need 103% of 103% of 103% and so on until we multiply by 103% for the correct number of years.

[tex]f(10) = 17000(1.03)^{10} \approx 22846.578448850072648[/tex]

Following standard math rounding this would round to 22,847 people.  

If you argue that last 0.57844 of a person really round up, you could argue that this is really 22,846 people.

5 / 7/10 answer in fraction form ​

Answers

Dividing Fractions

When we divide fractions, we multiply the first fraction by the second fraction's reciprocal.

Solving the Question

[tex]5\div \dfrac{7}{10}[/tex]

⇒ Multiply by the reciprocal of 7/10:

[tex]= 5\times \dfrac{10}{7}[/tex]

[tex]= \dfrac{50}{7}[/tex]

⇒ If you would like, you can change this into a mixed number fraction. The whole number value from 50/7 is 7. 7 times 7 is 49, which is 1 less than 50. 1 is the numerator and 7 is the whole number:

[tex]= 7\dfrac{1}{7}[/tex]

Answer

[tex]\dfrac{50}{7}[/tex] or [tex]7\dfrac{1}{7}[/tex]

Other Questions
Evaluate the expression 9x - 5 for the values of x given in the first column.Value of x Value of expression5412967 dat ting go boom then goes huge to the top make it drop triangle enterprises has both debt and equity, and it can borrow at 9 percent. the firm's wacc is currently 14.7 percent, and there is no corporate tax. if the firm has 70 percent debt, what will its cost of equity be? what can happen when a government continues to use expansionary fiscal policy even as government debt becomes a problem? The cash flow statement should be evaluated by examining the cash flow pattern ______. discuss the advantages and disadvantages of using advanced ceramics in the structure of internal combustion engines. Research suggests that the greater the number of individuals who witness a person in trouble, theA. more likely it is that any one person will help the person in need.B. more sympathy any one person will feel toward the person in need.C. less likely it is that any one person will help the person in need.D. less sympathy any one person will feel toward the person in need. a 10 kg mass a travels 2 m/s meets and collides elastically with a 2 kg mass b travels 4 m/s in the opposite direction. find the final Mara lives in st. Louis, which is close to sea level. She decides to spend a month of her summer vacation working in the mountains outside of denver. After a week in the mountains, what kinds of changes would you expect to see as mara adapts to the higher altitude?. A nurse is talking with an older adult client who is contemplating retirement. The client states, "I keep thinking about how much I enjoy my job. I'm not sure I want to retire." Which of the following responses should the nurse make?a. "You would have so much more time to spend with your family."b. "You should consider getting a part-time job or doing volunteer work."c. "Let's talk about how the change in your job status will affect you."d. "Why wouldn't you want to retire and relax?" which clinical manifestations would tell a nurse that a client is having progressive decompensation related to obstruction of urinary outflow? for a hypothetical mouse population, determine whether the actions described will increase kkk , decrease kkk , or not affect kkk . drag each statement to the appropriate bin. The difference between light marking machine and UV marking machine public meeting places, often taverns, that served as headquarters for gangs and thieves in the eighteenth century were known as: Who is Gregor Mendel what tools can a project manager use to account for issues that may cause a project delay? select all that apply. in a study to compare the perceived effects of two pain relievers, 200 randomly selected adults were given the first pain reliever, and 93% indicated appreciable pain relief. of the 450 individuals given the other pain reliever, 96% indicated experiencing appreciable relief. a) give an estimate for the difference in the proportions of all adults who would indicate perceived pain relief after taking the two pain relievers. provide a 95%-confidence interval for the estimate. What European war was fought in the colonies?the French and Indian Warthe Glorious Revolutionthe Anglo-Dutch War How did brice marden interpret the spiritual reverence for nature that he found in the buddhist poems of cold mountain?. URGENT-50 POINTS + brainlyWhat is the sum of the series sum from n equals 1 to infinity of negative 3 times three eighths to the n power question mark