Question 1(Multiple Choice Worth 2 points)
(Comparing Data MC)

The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.

Which drive-thru typically has more wait time, and why?

Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean

Answers

Answer 1

The correct answer for the given dataset will be: Burger Quick, because it has a larger median.

What is a box plot?

A box plot,also known as a box-and-whisker plot, is used for graphical representation of summary statistics from a data set. It helps by providing a visual representation of a data set's central tendency, dispersion, and skewness, making it straightforward to identify important data aspects.

As per given data, Burger Quick typically has more wait time compared to Super Fast Food.

The box plot for Burger Quick displays a higher interquartile range (from 9.5 to 24) than Super Fast Food (from 8.5 to 15.5), indicating that Burger Quick has a broader dispersion in the middle 50% of the data. Also, the median (shown by the line in the box) for Burger Quick is 15.5, but the median for Super Fast Food is 12. This implies that the average wait time at Burger Quick is longer than at Super Fast Food.

The lines outside the box (whiskers) also demonstrate that the range of values for Burger Quick (from 2 to 30) is greater than for Super Fast Food (from 3 to 27), implying that Burger Quick has a longer wait time.

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Related Questions

WORTH 35 PTS, HELP
how do you factor completely:
4x^2 + 20x + 200 = 0

it’s a quadratic equation..
the 4x is squared

Answers

The factored form of the equation 4x² + 20x + 200 = 0 is 4(x + (5/2) +-5/2+√7(5/2i))(-5/2+√7(-5/2i))

To factor completely, we can begin by factoring out the greatest common factor of the three terms, which is 4:

4(x² + 5x + 50) = 0

Next, we want to factor the quadratic expression in parentheses.

we can use the quadratic formula, which states that the solutions to the equation ax² + bx + c = 0 are given by:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 1, b = 5, and c = 50, so we have:

x = (-5 ± √(5² - 4(1)(50))) / 2(1)

x = (-5 ± √(-175)) / 2

x=-5/2+√7(5/2i)

x=-5/2+√7(- 5/2i)

The factored form of the equation 4x² + 20x + 200 = 0 is:

4(x + (5/2) +-5/2+√7(5/2i))(-5/2+√7(-5/2i))

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For which angle θ is cos θ = −1?
a. 270° b. 360° c. 450° d. 540°

Answers

Answer: Dude adove is WRONGGG

Step-by-step explanation:

ANSWER IS  540

Answer:

  c. 540°

Step-by-step explanation:

You want to know which angle θ has cos(θ) = -1.

Cosine

The cosine function is periodic with period 360°. The smallest positive angle θ for which cos(θ) is -1 is 180°. The next such angle is ...

  180° +360° = 540° . . . . . choice D

__

Additional comment

A graph of the cosine function is attached. The horizontal axis is in degrees.

<95141404393>

9 didvided by 5 and 1 /7th

Answers

Answer:

7/4

Step-by-step explanation:

i am sooo sure that  the answer is 1.75

Following the logic shown in the proof above, describe the missing answer for "Reason 3".

A
SAS

B
AAS

C
SSA

D
ASA

Answers

Based on the given options and the information provided, the missing answer for "Reason 3" is option D, ASA.

The proof mentioned is based on the fact that the two triangles have two pairs of congruent angles and one pair of congruent sides.

This corresponds to the criteria for the ASA postulate, which states that if two triangles have two pairs of congruent angles and one pair of congruent sides, then the triangles are congruent.

Therefore, by using the ASA postulate, we can conclude that the two given triangles are congruent.

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Find the set of solutions for each of the absolute value inequalities: |2-5m/2|<14

Answers

The solution of the expression is -24/5 < m < 32/5

How to find the solutions

To solve the absolute value inequality |2 - 5m/2| < 14, we remove the absolute value symbol resulting to two cases which is solved below

Case 1:

2 - 5m/2 < 14

Multiplying both sides by 2

4 - 5m < 28

Subtracting 4 from both sides

-5m < 24

Dividing both sides by -5 and rearranging the equation

m > -24/5

Case 2

2 - 5m/2 < -14

subtracting 2 to both sides

5m/2 < -16

Dividing both sides by -5/2

m < 32/5

Combining the equations

-24/5 < m < 32/5

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Convert the following percents to decimals.
.825% =

Answers

Answer:

0.00825

Step-by-step explanation:

Move the decimal point two places to the left to go from a percentage to a decimal.

7 part answer pls!!
The consumption of disel in truck A in one day is 102/208 ml and the consumption of truck B is 105/196 ml. Which truck consumed more disel and by how much?

Answers

Truck B consumed 0.045 mL more diesel than Truck A.

How to obtain the consumptions of each truck?

The fuel consumption for each truck is obtained applying the proportions in the context of the problem.

A proportion is applied as we are converting a fraction to decimal, dividing the numerator by the denominator, as follows:

102/208 ml = 0.49 mL -> divide 102 by 208.105/196 ml = 0.535 mL -> divide 105 by 196. -> consumed more.

Hence the difference is given as follows:

0.535 - 0.49 = 0.045 mL.

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Can i please have help with this

Answers

Answer:

linear

Step-by-step explanation:

its linear because the data shows a straight line:)

Answer:

Linear

Step-by-step explanation:

linear equation forms a straight line on the graph. A nonlinear equation forms a curve on the graph.

Whitney rolls a ball down a ramp that is 18 feet long. If the ball descends two feet each second what integer represents the amount of time in seconds the ball takes to reach the end of the ramp

Answers

The integer that represents the amount of time in seconds the ball takes to reach the end of the ramp is 9.

What integer represents the amount of time in seconds

To find the amount of time in seconds it takes for the ball to reach the end of the ramp, we need to divide the total distance by the rate of descent.

The total distance the ball needs to travel is 18 feet, and it descends 2 feet each second.

Therefore, the time it takes for the ball to reach the end of the ramp can be calculated as follows:

time = distance / rate

time = 18 feet / 2 feet/second

time = 9 seconds

So, the integer is 9.

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The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.

Which graphical representation would be most appropriate for the data, and why?

Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical

Answers

The graphical representation that will be most appreciated for the data would be box plot, because the median can easily be determined from the large set of data. That is option A.

What is a box plot?

The box plot is a type of graphical representation of data that gIves more than one detail about the data set such as;

minimum,first quartile,median,third quartile, andmaximum.

Box plots allow you to compare multiple data sets better than others dues to the above listed features that it has.

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A number "z" when rounded to the nearest whole, is equal to

Find the upper and lower bound of "z"

Answers

In order to find the upper and lower bounds of a rounded number:

Identify the place value of the degree of accuracy stated.Divide this place value by 2 .Add this amount to the given value to find the upper bound, subtract this amount from the given value to find the lower bound.

How to explain the bound

The upper and lower bounds can be found by dividing the degrees of accuracy by 2 and then subtracting and adding with the value to give the lower and upper bounds respectively.

Kindly check the above explanation inorder to know how to calculate the value as your information is incomplete

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How does one find the upper and lower bound of a variable

I need helpp please do as many as u can but can you please do the whole thing thank youuuuuu

Answers

The values of following in parallel lines are:

Angle 3 and Angle 6 are an example of corresponding angles. (Option D is the correct answer).

Angle 1 and Angle 5 are an example of corresponding angles. (Option D is the correct answer).

Angle 6 and Angle 7 are an example of alternate interior angles. (Option B is the correct answer).

Angle 28 would not be congruent to the measure of 27. (Option A is the correct answer).

Angle 41 and Angle 23 are an example of corresponding angles. (Option D is the correct answer).

Option B: 23 is not an example of supplementary angles.

Angle 22 is vertical to Angle 27. Therefore, m22 = m27 = 115°.

Angle 23 and Angle 25 are alternate interior angles, so they are congruent. Therefore, m23 = m25 = 63°.

Angle 1 and Angle 26 are corresponding angles, so they are congruent. Therefore, mz1 = mz6 = 57°.

What is parallel lines?

Parallel lines are two or more lines in a plane that never intersect each other, no matter how far they are extended. In other words, they are always at the same distance from each other and never cross.

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679/1327+677-x/1329+675-x/1331+
673-x/1333=4

Answers

The value of x after simplifying the given equation is approximately 1295.6.

To solve for x in the equation

(679/1327) + (677-x)/1329 + (675-x)/1331 + (673-x)/1333 = 4

We can start by simplifying the fractions and combining like terms

679/1327 + (3x - 1010)/((1329)(1331)(1333)) = 4

Multiplying both sides by (1327)(1329)(1331)(1333), we get

(679)(1329)(1331)(1333) + (3x - 1010)(1327)(1331)(1333) = 4(1327)(1329)(1331)(1333)

Expanding the products and simplifying, we get

(679)(1329)(1331)(1333) + (3x)(1327)(1331)(1333) - 1010(1327)(1331)(1333) = 4(1327)(1329)(1331)(1333)

Adding 1010(1327)(1331)(1333) to both sides, and dividing both sides by (3)(1327)(1331)(1333), we get

x ≈ 1295.6

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1. If three squares have sides that make an acute triangle, then the sum of the areas of the two small squares...

2. If three squares have sides that make an obtuse triangle, then the sum of the areas of the two small squares...

3. If three squares have sides that make a right triangle, then the sum of the areas of the two small squares...

Answers

If three squares have sides that make an acute triangle, then the sum of the areas of the two small squares equals the area of the largest square. This is known as the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse (the longest side).

What is the squares about?

2. If three squares have sides that make an obtuse triangle, then the sum of the areas of the two small squares is greater than the area of the largest square. This can be proven using the Law of Cosines, which states that in a triangle with sides a, b, and c and angle C opposite side c, c² = a² + b - 2ab cos(C). For an obtuse triangle, the cosine of the angle opposite the largest side is negative, which makes the right-hand side of the equation larger than c². Therefore, the sum of the squares of the smaller sides is greater than the square of the largest side.

3. If three squares have sides that make a right triangle, then the sum of the areas of the two small squares equals the area of the largest square. This is again the Pythagorean theorem. Let the sides of the squares be a, b, and c, with c being the hypotenuse. Then we have a² + b² = c². The areas of the squares are a², b², and c², respectively, so the sum of the areas of the two small squares is a² + b², which equals the area of the largest square (c²).

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apply the half-angle identities for sine and cosine to rewrite or evaluate the following expression.
[tex]tan(\frac{11\pi}{12} )[/tex]

Answers

Answer: We can use the halfangle formula for the tangent to answer this question. Using this formula we get that [tex]$\tan\left(\frac{11\pi}{12}\right) = \sqrt{3} - 2[/tex].

Step by Step Explanation:  The half angle formula for tangent is [tex]$\tan\left(\frac{A}{2}\right) = \frac{\sin(A)}{1+\cos(A)}[/tex]  . So

[tex]$\tan\left(\frac{11\pi}{12}\right)[/tex]

[tex]$= \frac{\sin(\frac{11\pi}{6})}{1+\cos(\frac{11\pi}{6})}[/tex]

[tex]$= \frac{\sin(2\pi - \frac{\pi}{6})}{1+\cos(2\pi - \frac{\pi}{6})}[/tex]

[tex]$ = \frac{-\sin(\frac{\pi}{6})}{1+\cos(\frac{\pi}{6})}[/tex]

[tex]$= \frac{-1/2}{1 + \sqrt{3}/2}[/tex]

[tex]$= -\frac{1}{2+\sqrt{3}}[/tex]

 [tex]$= - \frac{2-\sqrt{3}}{(2+\sqrt{3})(2-\sqrt{3})}[/tex]

[tex]= - \frac{2 -\sqrt{3}}{4-3}}[/tex]

[tex]= \sqrt{3} -2[/tex]

What are the half angle identities

These are some of the common halfangle identities:

[tex]\cos(A/2) = \sqrt{\frac{1+\cos(A)}{2}[/tex]

[tex]\sin(A/2) = \sqrt{\frac{1-\cos(A)}{2}[/tex]

[tex]\tan(A/2) = \frac{\sin(A)}{1+\cos(A)} = \frac{1 - \cos(A)}{\sin(A)}[/tex]

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Calculate the Social Security and Medicare tax that would be applied to an annual salary of $125,000. Use $106,800 for maximum taxable earnings. (Soc Sec 6.2%, taxed up to $106,800 and Medicare 1.45%).
a. Social Security tax: $77,500.00, Medicare tax: $18,125.00 b. Social Security tax: $7,750.00, Medicare tax: $1,812.50 c. Social Security tax: $66,216.00, Medicare tax: $18,125.00 d. Social Security tax: $6,621.60, Medicare tax: $1,812.50

Answers

The calculated Social Security tax is $ 6621.60 on the maximum taxable earning, that is $106800 on the rate of 6.2% and Medicare tax is  $1812.50 on the annual salary, that is $125,000 on the rate of 1.45%.

Hence option d is the correct option.

The annual salary of an individual is given as  $125,000.

Medicare tax is levied on the annual salary of an individual, that is on $125,000. It is given as 1.45 % on $125,000.

The maximum taxable earnings is $106,800 and Social Security tax is levied on this $106,800. It is given as 6.2% on $106,800.

Thus, applying basic rule of percentage calculation we get,

Earnings from Social Security tax  = $(6.2% of 106800)

= ${(62/100*10)(106800)

= $ 6621.60

Earnings from Medicare tax = $(1.45% of 125000)

=  $(145/100*100)(125000)}

= $1812.50

Hence option d Social Security tax: $6,621.60, Medicare tax: $1,812.50 is the correct option.

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a plane slices the three rectangular faces of a right triangular prism but neither of its bases. the plane is not parallel to the bases of the prism. show and describe the plane section that results from the slice

Answers

Answer:

Since the prism has three rectangular faces, let's call them faces ABCD, ABEF, and CDFH. Without loss of generality, let's assume that the plane goes through points A, B, and C to slice through all three rectangular faces.

First, let's consider the intersection of the plane with face ABCD. Since the plane goes through points A, B, and C, it must contain the line segments AB and AC. Thus, the intersection of the plane with face ABCD is a triangle with vertices A, B, and some point D' on the edge CD.

Next, let's consider the intersection of the plane with face ABEF. Since the line segments AB and AC both lie entirely within face ABEF, their intersection with the plane gives line segments AB' and AC', respectively. Thus, the intersection of the plane with face ABEF is a quadrilateral with vertices A, B', E, and F.

Similarly, the intersection of the plane with face CDFH is a quadrilateral with vertices C, D', H, and F.

To visualize the resulting plane section, imagine unfolding the right triangular prism so that all its faces lie flat. Then the plane section would look something like this:

B'________E

/| / |

A /_|___/' |

| | | |

| D'- -|-----C

| / |____|/

F|/ H

The intersection of the plane with face ABCD is the triangle ABD', and the intersections with faces ABEF and CDFH are the quadrilaterals AB'EF and CD'HF, respectively.

Overall, the resulting plane section has four sides: AB' and B'E from face ABEF, EF and FD' from face CDFH, and D'A from face ABCD. It has one vertex at A and two vertices, B' and D', that lie on the edge CD. The fourth vertex is at some point E on the edge BE. The shape of the resulting plane section depends on the relative positions of points B and D on the edge CD, and point E on the edge BE.

Simplify. 3x5/6 A.15/6 B.23/6 C.2 2/1 D. 3 5/6

Answers

Therefore, expression 3x5/6 simplifies to 3 5/6.

What is expression?

In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables. Expressions can be evaluated, simplified, and manipulated using mathematical rules and operations to obtain new expressions or values.

Here,

To simplify 3x5/6, we can rewrite it as (3/1) × (5/6). Multiplying the numerators and denominators, we get:

(3/1) × (5/6) = 15/6

= 2 3/6

Since 3/6 can be simplified to 1/2, we have:

2 3/6 = 2 1/2

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find the surface area of the trapezoid

Answers

Hence ,the surface area of the trapezoid is  173 [tex]ft^{2}[/tex] .

What is the trapezoid?

In geometry,  a quadrilateral with at least one set of parallel sides is referred to as a trapezium in American and Canadian English, or a  trapezium in British and other  forms of English. In Euclidean geometry, a trapezium is a convex quadrilateral by  definition. The bases of the  trapezium are the parallel sides.

What is the surface area of trapezoid?

The amount  of space that a trapezoidal prism is surface takes up is known as its surface area. A three-dimensional solid called a trapezoidal  prism is composed of two  trapezoids on opposing faces connected by four  rectangles known as the lateral faces. You will learn how to determine the surface area of a trapezoidal prism, as with  all three-dimensional shapes.

We know that ,surface area of trapezoid is,

Surface Area= [tex]\frac{1}{2}[/tex] x (sum of the lengths of the parallel sides) x perpendicular distance between parallel sides

In given figure,

∵ value of parallel sides is 10 ft and 13 ft ,

So, the sum of the lengths of the parallel sides= 10+13=23 ft

∵ perpendicular distance between parallel sides= 15 ft

∴ The Surface Area of trapezoid = [tex]\frac{1}{2}[/tex] x (sum of the lengths of the parallel sides) x perpendicular distance between parallel sides

⇒The Surface Area of trapezoid = [tex]\frac{1}{2}[/tex] x 23 x 15

⇒The Surface Area of trapezoid = [tex]\frac{1}{2}[/tex] x 345

⇒The Surface Area of trapezoid = 172.5 [tex]ft^{2}[/tex] ≅ 173 [tex]ft^{2}[/tex]

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It is recommended to drink 8 glasses of water per day. A glass of water contains approximately 237 mL. If Carmelo drank 7 glasses, approximately how many liters of water did he drink?
H. 3,059 L
B. 16. 59L
C. 1,359 L
D. 1,659 L

Answers

Answer:

d Because I just took the test and got it right

Fierro Brothers, a discount broker, charges their customers a $19 flat fee per trade. The Sondo Investment House charges a 2% commission. For what amount of stock would both brokers charge the same commission?

Answers

The required amount of stock is of $950 for  both brokers charge the same commission from the linear equation in one variable.

Let the total amount of stock be x (in dollars).

Fierro Brothers charges their customers a $19 flat fee per trade. Whereas, the Sondo Investment House charges 2% as the commission of trade.

Thus the given condition is Fierro Brothers charges equal commission fee on the required amount of stock as Sondo Investment house.

This relation can be shown in terms of linear equation as,

19 = 2% of x

⇒ 19 = (2/100)x

This linear equation is in the form of linear equation in one variable.

⇒ x= 19*(100/2)

⇒ x = 950

Therefore, on single trade of stock of $950 Fierro Brothers charges $19 fee (flat) as their commission which is equal to the commission earned by Sondo Investment House at the rate of 2% on trade.

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A windshield wiper is 1.5m long. It's one end is fixed at the point O. The other end
moves from point A to point B by 75°.
Find the area swept by the wiper. Note: Enter your answer in terms of л.
A
1 = 1.5 m
75°
O
diuc?
B
wiper

Answers

Answer:

1) 1.5 meters

2) 75° or (5/12)π radians

3) A = (5/12)πr^2

4) A = (5/12)π(1.5^2)

= 15π/16 square meters

= about 2.95 square meters

the length of a staff meeting in hours is a random variable having the following probability density function 5(x-.5)^5 calculate the expected length of a staff meeting

Answers

The expected length of a staff meeting is approximately 12.5 minutes.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To calculate the expected length of a staff meeting, we need to find the mean of the probability density function given.

The formula for finding the expected value or mean of a continuous random variable with probability density function f(x) is:

E(X) = ∫ x f(x) dx over the range of the variable

Using this formula, we can find the expected length of a staff meeting as follows:

E(X) = ∫ x f(x) dx over the range of the variable

  = ∫ 0 to 1 x [tex]5(x-0.5)^{5}[/tex] dx  (since the length of a meeting can't be negative)

  = 5 ∫ 0 to 1 x[tex](x-0.5)^{5}[/tex] dx

Now we can use integration by parts or substitution to solve the integral. For simplicity, we can use substitution, with u = x - 0.5 and du = dx:

E(X) = 5 ∫ -0.5 to 0.5[tex]5(x-0.5)(u)^{5}[/tex] du

= 5 ∫ -0.5 to 0.5 [tex](u^6 + 0.5u^5)[/tex] du

= 5 [(1/7)[tex]u^7\\[/tex] + (1/10)[tex]u^6[/tex]] evaluated at -0.5 and 0.5

= 5 [(1/7)[tex](0.5)^7[/tex] + (1/10)[tex](0.5)^6[/tex] - (1/7)[tex](-0.5)^7[/tex] - (1/10)[tex](-0.5)^7[/tex]]

≈ 0.2083 hours or 12.5 minutes

Therefore, the expected length of a staff meeting is approximately 12.5 minutes.

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PLEASE HELP I HAVE TO SUBMIT SOON!!!

Answers

She needs 74.25 ft² of glass to cover the pyramid.

How to obtain the surface area of the pyramid?

To obtain the surface area of any prism, we combine the areas of all the parts that compose the prism.

The pyramid in this problem is composed as follows:

Square base with side length of 5.5 ft.Four triangles with base 5.5 ft and height of 4 ft.

The area of the square base is given as follows:

As = 5.5² = 30.25 ft².

The area of the four triangles is given as follows:

At = 4 x 1/2 x 5.5 x 4

At = 44 ft².

Hence the surface area of the pyramid is given as follows:

S = As + At

S = 30.25 + 44

S = 74.25 ft².

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Correct surface area = Brainliest

Answers

The surface area of the triangular prism is approximately calculated as: 361.88 mm².

What is the Surface Area of a Triangular Prism?

Surface area of any triangular prism = (Perimeter of the triangular base × Length of the prism) + (2 × Base Area)

= (S1 +S2 + S3)(L) + (bh)

Given the following variables:

S1 = 7.21 mm

S2 = 7.21 mm

S3 = 8 mm

L = 14 mm

b = 8 mm

h = 6 mm

Surface area = (7.21 + 7.21 + 8)(14) + (8 * 6)

Surface area = 361.88 mm²

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What is the area of the the triangle

Answers

Answer:

15

Step-by-step explanation:

i got tHAT TEST TRUST ME

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12 If the domain of the function f(x) = 2X²-8 is {- 2, 3, 5}, then
the range is
(1) {-16, 4, 92}
(2) {-16, 10, 42}
(3) {0, 10, 42}
(4) {0, 4, 92}

Answers

The range is option (3): {0, 10, 42}

Domain is a group of x values. This means we can substitute each domain value into the function in order to find the range.

For example, since the first domain value is -2, we will substitute that.
f(-2)=2(-2)^2-8
f(-2)=2(4)-8
f(-2)=8-8
f(-2)= 0

Doing this for all of the values, we get a range of {0, 10, 42}. Hope this helps! :)

I need help asap

Solve the equation for x.
2/3x - 1/9x +5=20

X=_______

Answers

Answer:

The answer for x is 27

Step-by-step explanation:

2x/3-1x/9+5=20

2x/3-x/9=20-5

6x-x/9=15

5x/9=15

multiply both sides by 9

5x/9×9=15×9

5x=15×9

divide both sides by 5

5x/5=15×9/5

x=3×9

x=27

Answer:

Step-by-step explanation:

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Answer:sine

Step-by-step explanation:

suppose that you will roll 2, fair 6-sided dice (assume a laplace probability model), and let represent the sum of the results of the two rolls. which is closest to ?

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the expected value of the sum of two fair 6-sided dice is 7.

The possible values of the sum of two fair 6-sided dice range from 2 (when both dice show a 1) to 12 (when both dice show a 6). The probability of each possible sum can be calculated using a probability distribution table or by listing all the possible outcomes and counting them.

Here is the probability distribution table:

Sum Number of Outcomes Probability

2 1 1/36

3 2 2/36

4 3 3/36

5 4 4/36

6 5 5/36

7 6 6/36

8 5 5/36

9 4 4/36

10 3 3/36

11 2 2/36

12 1 1/36

The expected value of the sum, denoted E(X), is the sum of each possible value of X multiplied by its probability, or:

E(X) = 2*(1/36) + 3*(2/36) + 4*(3/36) + 5*(4/36) + 6*(5/36) + 7*(6/36) + 8*(5/36) + 9*(4/36) + 10*(3/36) + 11*(2/36) + 12*(1/36)

E(X) = 7

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. A probability of 0.5 (or 50%) means the event is just as likely to occur as it is not to occur.

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