Rolling a single six-sided di, you play a game with the following rules: if you roll an even number, you lose 1 point. If you roll a 1, you gain 1 point. If you roll a 3, you gain 3 points. If you roll a 5, you lose 4 points. After a long time continually playing the game, would you expect to have a positive point total or a negative point total?
Answers
The expected value is 0, which means that, on average, you neither gain nor lose points over the long run. This suggests that after playing the game for a long time, we would expect to have a point total close to zero.
To determine whether you would expect to have a positive or negative point total after a long time playing the game, we can calculate the expected value or average point gain/loss per roll.
Let's calculate the expected value for each outcome:
Rolling an even number:
Probability = 3/6 = 1/2,
Point gain/loss = -1
Rolling a 1:
Probability = 1/6,
Point gain/loss = 1
Rolling a 3:
Probability = 1/6,
Point gain/loss = 3
Rolling a 5:
Probability = 1/6,
Point gain/loss = -4
The expected value, we multiply each outcome's point gain/loss by its probability and sum them up
Expected Value = (1/2) × (-1) + (1/6) × 1 + (1/6) × 3 + (1/6) × (-4)
Expected Value = -1/2 + 1/6 + 1/2 - 2/3
Expected Value = 0
The expected value is 0, which means that, on average, you neither gain nor lose points over the long run. This suggests that after playing the game for a long time, you would expect to have a point total close to zero.
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Related Questions
A department store paint mixer contains 4 pints of equal amounts of yellow and red paint. The shade of red that you want requires a paint mixture that is 75% red and 25% yellow. How many pints of red paint need to be added to the paint mixer?
Answers
2.67 pints of red paint to be added to the paint Mixer in order to achieve the desired 75% red and 25% yellow mixture.
The number of pints of red paint that need to be added to the paint mixer, we need to calculate the amount of paint in the mixer currently and find the difference between that amount and the desired 75% red mixture.
Currently, the paint mixer contains 4 pints of equal amounts of yellow and red paint. Since the yellow and red paint are in equal amounts, we can say that there are 2 pints of red paint in the mixer.
Now, let's calculate the amount of red paint required for the desired mixture. We want the final mixture to be 75% red, which means that 75% of the total mixture should be red.
the total mixture required is X pints. Since 75% of the mixture should be red, we have:
0.75X pints of red paint.
Since the current amount of red paint in the mixer is 2 pints, we can subtract this from the desired amount to find the additional pints of red paint needed:
0.75X - 2 pints.
We want the additional pints of red paint to equal 0, so we set up the equation:
0.75X - 2 = 0.
Solving this equation, we find:
0.75X = 2.
X = 2 / 0.75.
X ≈ 2.67.
Therefore, we need approximately 2.67 pints of red paint to be added to the paint mixer in order to achieve the desired 75% red and 25% yellow mixture.
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2. What political hurdles did African American representatives have to face after they went into
office?
Answers
The political hurdles that African American representatives have to face after they went into office is Racism.
What is Racism?Racism is the belief that different groups of humans have different behavioral traits that correspond to inherited characteristics and that they can be divided based on the superiority of one race over another.
Racism stems from the belief that a person is superior to others because of the color of their skin. In the olden days, blacks were excluded from public schools, denied the right to vote, and faced racism and legal discrimination almost everywhere. This is still faces in politics as well.
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I can give you 20points if you help me with this math problem!! Thanks
Answers
Answer:
x=2 or x=-2 AS CATASIAN PLANE HAVE 2 SIDES POSITIVE ONE AND NEGATIVE ONE THATS why WE HAVE TWO ANSWERS WITH DIFFERENT SINGNS
12. Rewrite the expression in terms of the given function: (sec x + csc x)(sin x + cos x) - 2 - tan x; cotx O A. 2cot x B. cot x C. 2 + cotx D. 0
Answers
Answer: cot x
Step-by-step explanation:
(sec x + csc x)(sin x + cos x) - 2 - tan x >simplify to sin/cos
\(=(\frac{1}{cos x } +\frac{1}{sin x}) (sin x + cosx) -2-\frac{sinx}{cosx}\) >find common denominator
for first parenthesis
\(=(\frac{sinx+cosx}{sin xcos x }) (sin x + cosx) -2-\frac{sinx}{cosx}\) >Multiply the first 2
parenthesis
\(=(\frac{sin^{2} x+2sin x cos x+cos^{2} x}{sin xcos x }) -2-\frac{sinx}{cosx}\) >Use identity sin²x+cos²x=1
\(=(\frac{1 +2sin x cos x}{sin xcos x }) -2-\frac{sinx}{cosx}\) >Combine all fractions with
common denominator
\(=\frac{1 +2sin x cos x-2sinxcosx -sin^{2}x }{sin xcos x }\) >Simplify
\(=\frac{1 -sin^{2}x }{sin xcos x }\) >Use identity sin²x=1-cos²x
\(=\frac{1 -(1-cos^{2}x) }{sin xcos x }\) >Distribute negative
\(=\frac{1 -1+cos^{2}x }{sin xcos x }\) >simplify 1-1
\(=\frac{cos^{2}x }{sin xcos x }\) >simplify cos/cos
\(=\frac{cosx }{sin x }\) >Use identity cot=cos/sin
= cot x
Answer:
Option B, cotangent x or cot x
Step-by-step explanation:
First, I set up some shorthand based how each trig function operates in order to set up some conversion factors. You can also use trig identities if you are more familiar with those as the other answer suggests. That way is easier but it requires you to know the trig identities. If not, using the basic principles from angles of a right triangle can help:
Sine of x is the opposite leg over hypotenuse so we say S = O / H
Cosine of x is adjacent leg over hypotenuse so we say C = A / H
Tangent of x is opposite over hypotenuse so T = O / A
Cosecant of x is hypotenuse over opposite so csc = H / O
Secant of x is hypotenuse over adjacent so sec = H / A
Cotangent of x is adjacent over opposite so cot = A / O
For this first portion we are going to not think about the - 2 - tan x portion of the equation because we must FOIL the first part.
(sec x + csc x)(sin x + cos x)
FOIL stands for First, Outsides, Insides, and Lasts, marking what terms are multiply together in order to make an equation so:
Firsts: sec (sin x)
Outsides: sec (cos x)
Insides: csc (sin x)
Lasts csc (cos x)
So the new equation is:
sec (sin x) + sec (cos x) + csc (sin x) + csc (cos x)
Now we use our conversion factors to change each multiplication set:
\(\frac{H}{A}(\frac{O}{H}) + \frac{H}{A} (\frac{A}{H}) + \frac{H}{O}(\frac{O}{H}) + \frac{H}{O}(\frac{A}{H})\)
Use your knowledge of multiplying fractions and how variables in the numerator and denominator can cancel each other out. You simplify to:
\(\frac{O}{A} + 1 + 1 + \frac{A}{O}\)
Now use the conversion factors again to convert what is left into trig functions. O / A is tan x. A / O is cot x.
tan x + 2 + cot x.
NOW, bring back the portion we neglected earlier, simplify and solve.
tan x + 2 + cot x - 2 - tan x
tan x - tan x + 2 - 2 + cot x
0 + 0 + cot x
0 + cot x
cot x, option B
a spinner has eight equally sized regions labeled from 1 to 8. we spin the spinner twice. what is the probability that the first spin is no more than 6 and the second spin is no less than 7? write your answer as a simplified fraction.
Answers
Probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
probability that first spin is grey = 6/8probability that second spin is blue = 2/8probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16learn more about probability click here:
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josiah pays $18 for a DVD that originally cost $20. what is the percent decrease in the cost of the DVD?
Answers
Answer:
It should be 10%
Consider the quadratic function f(x)=8x2−7x 6. what is the constant of the function? a. −7 b. 6 c. 7d. 8
Answers
The constant of the function is c. Therefore, the answer is (b) 6.
a quadratic polynomial is a polynomial of degree two in one or more variables.
A quadratic function is the polynomial function defined by a quadratic polynomial. Before 20th century, the distinction was unclear between a polynomial and its associated polynomial function; so "quadratic polynomial" and "quadratic function" were almost synonymous.
it is important to understand the basic form of a quadratic function and how to identify its constants.
The basic form of a quadratic function is f(x) = ax² + bx + c,
where a, b, and c are constants.
In the given quadratic function, f(x) = 8x² - 7x + 6,
the constant of the function is c.
Therefore, the answer is (b) 6.
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Ms. Ouzts wants to by a purse for $100. Sales tax in SC is 8.5%. If she has $125 to spend on the purse, will she have enough to purchase it? Why or why not?
Answers
Yes, Ms. Ouzts will have enough to purchase the purse as $125 is greater than the total cost of the purse including tax, which is $108.50.
The sales tax in South Carolina is 8.5%, which means that the total cost of the purse including tax will be
= Cost of purse + Sales tax
Substitute the values in the equation
= $100 + (8.5% of $100) = $100 + $8.50 = $108.50
If Ms. Ouzts has $125 to spend on the purse, then she will have enough to purchase it because $125 is greater than $108.50.
In fact, she will have $125 - $108.50 = $16.50 left over after buying the purse.
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7x +y = 33
3x + y = 17
Answers
The value of x = 4
The value of y = 3
7x + y = 33 ......eq(1)
3x + y = 17 .....eq(2)
Here subtract eq(2) from eq(1), we get
4x = 16
therefore x = 16/4
x = 4.
Now to get the 'y' value, substitute the 'x' value in eq(2)...
3(4) +y = 17
y = 5
Therefore,
x = 4
y = 3
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Find an orthogonal basis for the column space of the matrix to the right. {-1 5 6}
{3 -6 4}
{2 -1 6}
{1 -5 -3}
Answers
The orthogonal basis for the Column space of the matrix to the right
{−1 −1 −1 1} is a basis for the null space of A.
An orthogonal matrix is a matrix whose transpose is equal to the inverse of the matrix. Let us recall what is the transpose of a matrix. If we write the rows of a matrix in columns (or) the columns or the rows of a matrix, the resulting matrix obtained is called the transpose of the matrix. We already know that a matrix is symmetric if its transpose is equal to the original matrix. But if the transpose of the matrix is equal to the inverse of the original matrix, we speak of an orthogonal matrix.
According to the Question:
rref(A) = [1 0 0 1
0 1 0 1
0 0 1 1]
Thus a basis for the row space of A is {[1, 0, 0, 1], [0, 1, 0, 1], [0, 0, 1, 1]}.
Since the first, second, and third columns of
rref(A) contain a pivot, a basis for the column space of A is:
{3 1 −1 1} , {4 −5 4 −1} , {0 2 0 2}
If we solve Ax = 0, we find that x4 is a free variable, so we set x4 = r. We
obtain {x₁ x₂ x₃ x₄}
r = {−1 −1 −1 1},
so {−1 −1 −1 1} is a basis for the null space of A.
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When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return what?
Answers
When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.
About Binary Search Algorithm
The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.
The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.
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4. Determine the initial markup percent for a children's department with these figures:
Net Sales $270,000. 00
Expenses $92,500. 00
Profit 5%
Employee discounts $2,100. 00
Shortages $1,550. 00
Cash discounts $5,500. 00
Markdowns 3%
Alteration costs $3,500. 0
Answers
The initial markup percentage for the children's department is 37.31%.
How to calculate the initial markup percentFirst, we need to calculate the total deductions:
Total deductions = Employee discounts + Shortages + Cash discounts + Alteration costs
Total deductions = $2,100 + $1,550 + $5,500 + $3,500
Total deductions = $12,650
Next, we need to calculate the total cost:
Total cost = Net sales - Profit + Markdowns + Total deductions + Expenses
Total cost = $270,000 - 5%($270,000) + 3%($270,000) + $12,650 + $92,500
Total cost = $270,000 - $13,500 + $8,100 + $12,650 + $92,500
Total cost = $370,750
Finally, we can calculate the initial markup percentage:
Initial markup percentage = (Total cost - Net sales) / Net sales x 100%
Initial markup percentage = ($370,750 - $270,000) / $270,000 x 100%
Initial markup percentage = $100,750 / $270,000 x 100%
Initial markup percentage = 37.31%
Therefore, the initial markup percentage for the children's department is 37.31%.
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Work out the surface area of the solid cuboid.
The diagram is not drawn to scale.
Answers
Answer
\(surface \ area = 2( lb + bh+hl) = 2(6 + 12 + 8) =2*26 = 52cm^2\)
Answer:
52 cm^2.
Step-by-step explanation:
SA = 2 (2*3 + 3*4 * 2*4)
= 2 * 26
= 52 cm^2.
When the smoke cleared, the ratio of believers to skeptics was 15 to 7.If they were 105 believers, how many skeptics were there? PLEASE ANSWER QUICK
Answers
Answer:
\(\large\boxed{49}\)
Step-by-step explanation:
Belivers to skeptics = 15 : 7
From the above ratio, we know that:
Believers = 15
Skeptics = 7
There were 105 believers, then we can rewrite the original ratio to be equal to the new one, to solve for x.
15 : 7 = 105 : x
Ratios can be written as fractions. Rewrite to simplify.
\(\frac{15}{7}\) = \(\frac{105}{x}\)
Cross multiply (numerator * denominator = numerator * denominator)
7 * 105 = 15 *x
735 = 15x
Divide both sides of the equation by 15
x = 49
There were 49 skeptics.
Hope this helps! Let me know if you have any questions!
Find the slope and y-intercept of the following equation 4,7 5,12
Answers
Answer:
Slope: 5
Y-intercept: -13
Step-by-step explanation:
To find the slope with 2 given points, we use the formula \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\).
We plug our points into this formula to get:
\(\frac{12-7}{5-4} =\frac{5}{1} =5\). The slope of the equation is 5.
To find our y-intercept, we can use the slope-intercept form and any point we are given.
Slope-intercept form: y=mx+b
m (slope)=5
x=4 (can also use 5)
y=7 (can also use 12)
You can also choose to use the point (5, 12). It doesn't really matter because you'll end up with the same y-intercept.
7=5(4)+b
7=20+b
-13=b
The y-intercept of the equation is -13.
A rectangular football field is 64 meters wide and 100meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.
How far did the player run?
Round your answer to the nearest meter
Answers
Answer:
In this case a=64,b=100,a=64,b=100,a, equals, 64, comma, b, equals, 100, comma and c=xc=xc, equals, x. The player ran approximately 119119119 meters.
Step-by-step explanation:
Meghan sells handmade sweaters and hats at her store. Let A represent the event that a randomly selected customer buys hat, and let B
represent the event that a randomly selected customer buys a sweater.
What does the notation P(AJB) represent in terms of the context?
A the probability that a customer buys a hat or a sweater
B the probability that a customer buys both a hat and a sweater
C the probability that a customer buys a hat given that the customer has bought a sweater
D the probability that a customer buys a sweater given that the customer has bought hat
Answers
Answer:
Step-by-step explanation:
C the probability that a customer buys a hat given that the customer has bought a sweater.
in a class of 12 boys and 9 girls, the teacher selects three students at random to write problems on the board. what is the probability that all the students selected are boys? (round your answer to four decimal places.)
Answers
in a class of 12 boys and 9 girls, the teacher selects three students at random to write problems on the board then the probability that all the students selected are boys is 0.165
given that a class consists of 12 boys and 9 girls. The teacher picks three students to present their work to the rest of the class and says that the three students are being selected at random
Here selecting any 3 students from the group of total 21 students is combination because order does not matter.
Total no of ways of selecting any 3 from total 21 = 21C3 = 1330
No of ways of selecting only 3 boys = No of ways of selecting random 3 boys from total 12 boys
= 12C3 =220
the probability be that all three students
selected are boys=220/1330 = 0.165
Hence , the probability that all the students selected are boys is 0.165
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a 130 foot tall building has a shadow that is 4 feet long. what is the angle of elevation of the sun? round to 2 decimal places.
Answers
The angle of elevation of the sun is 18°.
According to the question,
We have the following information:
A 130 foot tall building has a shadow that is 400 feet long (this is the correct question).
Now, let's take the angle of elevation of the sun to be x°.
Now, the height of the building will become perpendicular and the shadow will serve as the base for the angle of elevation.
We will use the trigonometric function tan.
Tan x = Perpendicular/base
Tan x = 130/400
Tan x = 0.325
Now, the value of x is 18°.
Hence, the angle of elevation of the sun is 18°.
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Which expression converts startfraction pi over 4 endfraction radians to degrees?
Answers
Using the degree and radian relation π/4 radian equals 45°.
Given angle =π/4 radian
What is the relation between radian and a degree?π radian equals 180 degrees means 1 radian equals 180/π degree or we can say 1-degree equals π/180 radian.
Since, 1 radian equals 180/π degree.
So, π/4 radian =180/π * π/4 degree.
π/4 radian = 45°.
So, π/4 radian equals 45°.
Therefore, using the degree and radian relation π/4 radian equals 45°.
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The top of square table has an area of 24 square feet. What is the length of 1 edge of the tabletop?
Answers
The length of one edge of the tabletop is 4.89 feet.
We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.
The area of square table is given by the formula -
Area of square table = side²
We will keep the value of area of square table to find the value of side which will be length of edge
24 = side²
Side = ✓24
Taking square root for the value on right side of the equation
Side = 4.89
Hence, the length of one edge of the tabletop is 4.89 feet.
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Note: enter your answer and show all the steps that you use to solve this problem in the space provided. jebb is the tallest player on the basketball team. he is 1 1 2 times as tall as the shortest girl in the sixth grade, who is 4 1 4 feet tall. how tall is jebb?
Answers
Jebb is 6 feet 4.5 inches tall.
What is height?
The distance between the bottom and top of an object or person is a measurement of its height.
Height, altitude, and elevation all refer to the vertical distance, either between the top and bottom of something or between its base and something above it. Height is a term for something that can be high or low and is measured vertically.
Given: Jebb is the tallest player on the basketball team.
He is 1 1 /2 times as tall as the shortest girl in the sixth grade, who is 4 1 /4 feet tall.
Here
1 1/2 times 4 1/4
change to improper fractions
\(1\frac{1}{2} = \frac{(2)(1)+1}{2}= \frac{3}{2}\)
\(4\frac{1}{4}= \frac{(4)(4)+1}{4} = \frac{17}{4}\)
⇒ 1 1/2 times 4 1/4 is (3/2)*(17/4)
\(\frac{3}{2}(\frac{17}{4})=\frac{51}{8}\)
Convert 51/8 into improper fraction.
\(\frac{51}{8} = 6\frac{3}{8}\) feet tall.
3/8 of 12 inches is,
\(\frac{3}{8}(12) = \frac{36}{8}\)
Convert 36/8 into improper fraction
\(\frac{36}{8} = 4\frac{4}{8}\) inches
Here 4/8 = 0.5
⇒ \(4\frac{4}{8} = 4.5\)
Hence, Jebb is 6 feet 4.5 inches tall.
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1. Write the following statements in the from of equations.
a. One third of a number plus 7 is 26
Answers
Answer: The number is 57
Step-by-step explanation:
Lemme tell you , We dont know the number , so we imagine it as x
so the question says one third of a number , so 1 third is 1 divided by 3 and if we imagene the number as x , we can write x/3 .
So x/3 +7 = 26 , as the equation says one third of a number plus 7 is equal to 26.
So write the lcm of 3 and 7 and then cross multiply , and subtract . you get
x = 57 , and we imagined x as the number so if x is 57 , so the number we have to find is also 57 . Done Easy .
Use technology to find points and then graph the function y = √ x = 3 - 2 following the instructions below.
Plot at least four points with integer coordinates that fit on the axes below. Click a point to delete it.
Answers
Given statement solution is:- The function y = √(x + 3) - 2 with at least four integer points on the axes.
To plot points and graph the function y = √(x + 3) - 2, we can utilize technology tools such as graphing calculators or online graphing tools. I'll demonstrate how to use an online graphing tool called Desmos, which is user-friendly and widely accessible.
Please follow these steps to plot the points and graph the function:
Visit the Desmos website or use any other graphing tool of your choice.
Clear any existing equations or plots on the graph.
Enter the function y = sqrt(x + 3) - 2 into the equation field.
The graphing tool will automatically plot the function.
To plot integer points, simply choose four different integer values for x and calculate the corresponding y values.
Let's choose the following integer values for x: -3, -2, 0, and 2.
Calculate the corresponding y values:
For x = -3: y = sqrt(-3 + 3) - 2 = -2
For x = -2: y = sqrt(-2 + 3) - 2 = -1
For x = 0: y = sqrt(0 + 3) - 2 = 1
For x = 2: y = sqrt(2 + 3) - 2 = 0
Plot these points on the graph by clicking on the appropriate locations.
If you accidentally click on a point and want to delete it, simply click on the point again to remove it.
Make sure the graph displays the axes and all the plotted points.
By following these steps, you should be able to plot the points and graph the function y = √(x + 3) - 2 with at least four integer points on the axes.
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The proportion of a normal distribution located between z = .50 and z = -.50 is ____.
Answers
The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.
We have,
A normal distribution located between z = 0.50 and z = -0.50,
So,
Now,
From the Z-score table,
We get,
The Probability corresponding to the Z score of -0.50,
i.e.
P(-0.50 < X < 0) = 0.191,
And,
The Probability corresponding to the Z score of -0.50,
i.e.
P(0 < X < 0.50) = 0.191,
Now,
The proportion of a normal distribution,
i.e.
P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)
Now,
Putting values,
i.e.
P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)
Now,
Again putting values,
We get,
P(-0.50 < X < 0.50) = 0.191 + 0.191
On solving we get,
P(-0.50 < X < 0.50) = 0.382
So,
We can write as,
P(-0.50 < X < 0.50) = 38.2%
So,
The proportion of a normal distribution is 38.2%.
Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.
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Erika paid a self-employment tax last year. She calculated the self-employment tax for different amounts of net
earnings and recorded them in the table shown.
Self-Employment Tax
Net
Earnings, X
Self-Employment
Tax, Y
$0
$0
$15,000
$2,295
$30,000
$4,590
$45,000
$6,885
Which function describes the relationship between x, the amount of net earnings, and y, the self-employment tax?
1-12
5
10
11
13
14 15 16 17
Back
Review/End
Next
Answers
Answer:
y=153/1000x
Step-by-step explanation:
Answer:y=153/1000x
Step-by-step explanation:
An interpretation of data is?
Answers
Answer:
Data interpretation refers to the implementation of processes through which data is reviewed for the purpose of arriving at an informed conclusion. The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.
Step-by-step explanation:
Answer:
The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.
Step-by-step explanation:
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During a class election 28 people voted for candidate A. If there were 64 votes total, what is the ratio of votes for candidate B compared to candidate A?
Answers
The ratio of votes for candidate B compared to candidate A is 1.3:1
What is Ratio?
A ratio in mathematics illustrates how many times one number contains another.
If there were a total of 64 votes and 28 votes went to candidate A, then the number of votes for candidate B can be found by subtracting the votes for candidate A from the total number of votes:
64 - 28 = 36
So, candidate B received 36 votes.
To find the ratio of votes for candidate B compared to candidate A, we divide the number of votes for candidate B by the number of votes for candidate A:
36 / 28 = 1.3
Therefore, The ratio of votes for candidate B compared to candidate A is 1.3:1
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What kind and how much polygons do you see in the net of the triangular prism?
Answers
The net of a triangular prism consists of two triangles and three rectangles.
In the net of a triangular prism, we can observe two types of polygons: triangles and rectangles.
First, let's discuss the triangles.
A triangular prism has two triangular faces, which are congruent to each other.
These triangles are equilateral triangles, meaning they have three equal sides and three equal angles.
Each of these triangles contributes two polygons to the net, one for each face.
Next, we have the rectangles.
A triangular prism has three rectangular faces that connect the corresponding sides of the triangular bases.
These rectangles have opposite sides that are parallel and equal in length.
Each rectangle contributes one polygon to the net, resulting in a total of three rectangles.
To summarize, the net of a triangular prism consists of two equilateral triangles and three rectangles.
The triangles represent the bases of the prism, while the rectangles form the lateral faces connecting the bases.
Altogether, there are five polygons in the net of a triangular prism.
It's important to note that the dimensions of the polygons may vary depending on the specific size and proportions of the triangular prism, but the basic shape and number of polygons remain the same.
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Find 3 ratios that are equivalent to the given ratio 7 over 6