The quadratic regression equation is y = 1.38x^2 - 5.77x + 0.96
How to determine the quadratic regression equationFrom the question, we have the following parameters that can be used in our computation:
(-1,8), (5,-4), (7,8), (2,-6)
Using a graphing calculator, we have the following summary:
function value
mean of x 3.25
mean of y 1.5
correlation coefficient r 0.9990171837
A 1.380577428
B -5.769028871
C 0.9553805774
The equation is represented as
y = ax^2 + bx + c
So,, we habe
y = 1.38x^2 - 5.77x + 0.96
Hence, the equation is y = 1.38x^2 - 5.77x + 0.96
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Kellen is having friends over for dinner and needs to buy chicken. He is looking for the best deal. There are three package options for the chicken.
3 lbs. for $15.39
2 lbs. for $9.19
1 lb. for $7.05
Answer:
But the 2lbs.
Step-by-step explanation:
Divide $9.19 by 2 and you get 4.595 which would be the cheapest option out of the 3 because the 1lb is $7.05 and the 3lb is $5.13.
You're welcome.
Please use the law of sines to show me how to solve the triangle please. Thank you .
Angles in a triangle add to [tex]180^{\circ}[/tex].
[tex]\angle B=180^{\circ}-115.5^{\circ}-27.2^{\circ} \longrightarrow \boxed{\angle B=37.3^{\circ}}[/tex]
Using the Law of Sines:
[tex]\frac{AC}{\sin 37.3^{\circ}}=\frac{76.0}{\sin 115.5^{\circ}}\\\\\boxed{AC=\frac{76\sin 37.3^{\circ}}{\sin 115.5^{\circ}} \text{ ft}}[/tex]
[tex]\frac{BC}{\sin 27.2^{\circ}}=\frac{76.0}{\sin 115.5^{\circ}}\\\\\boxed{BC=\frac{76\sin 27.2^{\circ}}{\sin 115.5^{\circ}} \text{ ft}}[/tex]
sin(A) / a = sin(B) / b = sin(C) / c
where A, B, and C are the angles of the triangle, and a, b, and c are the lengths of the sides opposite those angles.
The lateral height of a cone is 8 inches and the area of the base of the cone is 49π in². It requires 2.5 minutes to paint the cone.
The area of the base is doubled.
How long will it take to paint this cone if it can be painted at the same rate? Use π≈3.14.
Enter your answer, rounded to the nearest tenth, in the box.
It will take 5 minutes to paint this cone
How long will it take to paint this cone if it can be painted at the same rate?Since the area of the base of the cone is doubled, the new base area becomes 2 * 49π in² = 98π in².
The radius of the original cone can be found by using the formula for the area of a circle:
49π = πr^2
r = 7 in
The height of the new cone can be calculated using the same lateral height as the original cone:
h = 8 in
Using the formula for the volume of a cone, we can calculate the volume of the new cone:
V = (1/3)πr^2h = (1/3)π(7^2)(8) = (1/3)π(392)
The surface area of the original cone can be found using the formula for the surface area of a cone:
A = πr^2 + πrs
where s is the slant height of the cone.
s = √(r^2 + h^2) = √(7^2 + 8^2) = √(49 + 64) = √(113)
So, we have
A = πr^2 + πrs = π(7^2) + π(7)(√(113)) = 49π + 7π(√(113))
The surface area of the new cone can be found using the same formula:
A = πr^2 + πrs = π(7^2 * 2^2) + π(7 * 2)(√(113)) = 98π + 14π(√(113))
When the equations are compared, we have
2 * 49π + 7π(√(113)) = 98π + 14π(√(113))
Since the new cone has twice the surface area of the original cone and can be painted at the same rate,
It will take 2.5 * 2 = 5 minutes to paint this cone.
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Answer:
Step-by-step explanation:
I took the test the answer is 4.2
if robert and is friends ate pie. each of them ate a pieces of pie. if robert has b friends how many pieces of pie did they eat in all
The total number of pieces of pie they eat in all is (1 + b) pieces of pie
How many pieces of pie did they eat in all?Number of pieces of pie eaten each = 1 piece
Number of friends= b
Total pieces of pie eaten by all = (Robert + Number of friends) × Number of pieces of pie eaten each
= (1 + b) × 1
= (1 + b) pieces of pie
Therefore, Robert and his friends are a total of (1 + b) pieces of pie.
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You own Company X. When you started the company, you initially invested $12,000.
You also borrowed $12,000 through a five-year (long-term) loan, of which you have
paid back $2,018. You have retained $1,291 in earnings to be reinvested in the
company, and you decided to put $1,000 of it aside for a long-term investment. The
company owns land and a building worth $8,878 and equipment worth $4,230. As of
today, the company has $8,250 in cash, $1,225 in inventory, and is due to receive
accounts worth $675. However, the company owes its suppliers $485 and has a
$500 loan to pay off in the next six months.
You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.
What does "company" mean?Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.
The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.
You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.
Total Amount to be when start the company is $12000 + $12000
= $24000
Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.
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A group of 500 middle school students were randomly selected and asked about their preferred television genre. A circle graph was created from the data collected.
a circle graph titled preferred television genre, with five sections labeled drama 14 percent, sports 22 percent, documentaries, reality 20 percent, and sci-fi 20 percent
How many middle school students prefer the Documentaries television genre?
24
76
120
86.4
Answer: C. 120!
Step-by-step explanation:
Okay so, first we need to find out our percentages of course.
I learned this trick that can help us with this question easily!
14% of 500 - 70 - Drama
14 * 5 = 70.
22% of 500 - 110 - Sports
22 * 5 = 110
20% of 500 - 100 - Reality
20 * 5 = 100
20% of 500 - 100 - Sci-fi
20 * 5 = 100
70 + 110 + 100 + 100 = 380
500 - 380 = 120
Therefore, documentaries is labeled as 24% of 500 or 120 out of 500.
Your welcome! ^^
10. Which of the following graphs would represent the solution set for y < 3/2 x – 4?
Solution set for y < 3/2 x – 4 is represented by Graph D.
What is inequality?In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal.
Given inequality,
y < 3/2x - 4
Since there is less than sign, the region should be shaded below dotted line.
Equation for the dotted line
y = 3/2x - 4
comparing it with Slope intercept equation,
y = mx + c
slope m = 3/2
y - intercept = - 4 unit.
Only graph D has the shaded part below dotted line.
Hence, Graph D represents y < 3/2 x – 4.
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Devaughn is 7 years older than Sydney. The sum of their ages is 87. What is Sydney's age?
Answer:
40
Step-by-step explanation:
Assign the variable x to Devaughn's age. If Devaughn is 7 years older than Sydney, then Sydney must be 7 years younger than him, so the expression x - 7 can represent Sydney's age.
The sum of their ages would be x + x - 7 or 2x - 7 which is also said to equal 87. Therefore, this can be written as an equation and be solved accordingly:
2x - 7 = 87
2x = 94
x = 47
Therefore, Devaughn is 47 and Sydney, who is 7 years younger, is 40.
Sydney's age is determined by setting up and solving a simple algebraic equation based on the information provided. The equation that represents this situation is S + (S + 7) = 87, which leads to the conclusion that Sydney is 40 years old.
Explanation:Devaughn is 7 years older than Sydney. Given that the sum of their ages is 87, we can represent this situation with algebra. Let's denote Sydney's age as S.
Considering Devaughn is 7 years older, we can represent his age as S + 7. Given that the sum of their ages is 87, we can write down this equation: S + (S + 7) = 87.
Solving this equation will help us find Sydney's age. First, simplify the left side: 2S + 7 = 87. Then, subtract 7 from both sides: 2S = 80. Finally, divide both sides by 2 to solve for S, yielding Sydney's age: S = 40.
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The unemployment compensation is calculated by finding the total of the quarterly wages of two consecutive quarters and dividing by 26. The weekly employment is 60% of that amount. In the quarter of January, February, and March, Roger made a total of $12,950.80. In the quarter of April,May, and June, he made a total of $12,250.10. Find Roger’s weekly unemployment amount.
Therefore , the solution of the given problem of percentage comes out to be $387.704 is the weekly unemployment amount.
Define percentage.In mathematics, a percentage is any amount that can be stated as a proportion of 100. Also occasionally used are the abbreviations "pct.," "pct," or "pc." But the "%" mark is usually used to indicate it. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. A number should be preceded by the percent sign (%) to denote it is a percent.
Here,
Given :
A weekly unemployment amount is calculated using the following three components:
1. Determine the quarterly wage total (consecutive)
2. Multiply the sum by 26.
3.Multiplying by the rate of unemployment
Calculate the total of a quarterly salaries first:
=> (12950.80 + 12250.10) / 26
=> 25,200.9/26
=> 969.26 * 40 %
=> 387.704
Therefore , the solution of the given problem of percentage comes out to be $387.704 is the weekly unemployment amount.
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George and Adam painted the game room together. George painted of the room, and Adam painted 0.35 of the room.
What is the total percentage of the room painted by Adam and George?
O 50%
O 55%
O 60%
O 65%
If George painted 1/5 of the room and Adam painted 0.35 of the room then the total percentage of the room painted by Adam and George collectively is 55%.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred.
The amount of room painted by George is = 1/5
The amount of room painted by George is = 0.35
Convert the fraction into percentage -
Percentage = 1/5 × 100
Percentage = 20%
Convert the decimal into percentage -
Percentage = 0.35 × 100
Percentage = 35%
The total percentage of room painted by George and Adam is -
Total % of room painted = % of room painted by George + % of room painted by Adam
Substitute the values into the equation -
Total % of room painted = 20 + 35
Total % of room painted = 55
Therefore, 55% of the room was painted.
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George and Adam painted the game room together. George painted 1/5 of the room, and Adam painted 0.35 of the room.
What is the total percentage of the room painted by Adam and George?
Two sides of a triangle have lengths of 5
and 9. Which inequalities represent the
possible lengths for the third side, x?
A. 4 < x < 15
B. 14 < x < 19
C. 5 < x < 9
D. 4 < x < 14
The inequalities represent the possible lengths for the third side, x is 4 < x < 14, the correct option is D.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions. The set of values of the variable involved in the inequality for which the considered inequality holds true is called the solution set for that inequality.
Given;
One side of triangle =5
The other side of triangle=9
Now, the third side is between the difference and the sum of the other two sides;
9-5 < x < 9+5
4 < x < 14
Therefore, the inequality will be 4 < x < 14.
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Square root for this problem
Find the numerical value of the log expression.
log a = 7 log b = 11 log c = 15
log
✓C5
a7b8
The given expression is a logarithm expression. The value of the log expression is -112.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The given expression is log (³√c⁵)/(a⁷b⁸).
The value of log a = 7, log b = 11, log c = 15
Applying the quotient formula log(a/b) = log a - log b in the given expression:
= log (³√c⁵) - log (a⁷b⁸)
Again applying the product formula log (ab) = log a + log b:
= log (³√c⁵) - log (a⁷) - log b⁸
Apply the power rule log (a^b) = b log a:
= (5/3) log c - 7log a - 8log b
Now putting the value of log a = 7, log b = 11, log c = 15:
= (5/3) × 15 - 7 × 7 - 8 × 11
= 5×5 - 49 - 88
= -112
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In a class full of men and women,
2
9
of the class are women. What is the ratio of men to women in its simplest form?
The answer is 9:2 or 2:9. It depends if there is 9 women and 2 men or 2 women and 9 men.
Mark me branliest. :D
Solve the inequality for y.
<−6+−2y4
The value of the inequality is 1
What is inequality?In equality is a mathematical statement showing that two or more variables or quantities are not equal.
The given inequality is 6<2y+4
Making y the subject of the relation
6-4<2y
⇒2=2y
Making y the subject of the relation by dividing both sides by 2
therefore, y<1
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Select the correct answer. Consider functions f and g. The picture shows a one-to-one function diagram. x has values of 1, 2, 3, and 4, and g of x has values of 0, 1, 4, and 9. Every x value has a relation in g of x values. What is the value of ? A. B. C. D.
The value of the function f(g(4)) is C) 4.
The diagram shows that f(1) = 0, f(2) = 1, f(3) = 4, and f(4) = 9. Therefore, the value of f(g(4)) is equal to f(9) = 4.
The other options are incorrect. Option A is incorrect because f(0) is not defined. Option B is incorrect because f(4) is not equal to 0. Option D is incorrect because f(1) is not equal to 9.
Here is the solution in steps:
The diagram shows that f(1) = 0, f(2) = 1, f(3) = 4, and f(4) = 9.
Therefore, the value of f(g(4)) is equal to f(9) = 4.
The other options are incorrect. Option A is incorrect because f(0) is not defined. Option B is incorrect because f(4) is not equal to 0. Option D is incorrect because f(1) is not equal to 9.
Therefore, the answer is C. 4.
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Let $N$ be a positive integer such that every digit in $N$ is a $1$ or a $2,$ and $N$ is divisible by both $4$ and $9.$ What is the smallest possible value of $N?$
Answer:
[tex]22212[/tex].
Step-by-step explanation:
In base-10, for a number to be divisible by [tex]4[/tex], the last two digits must also be divisible. Among all the two-digit numbers formed with "[tex]\texttt{1}[/tex]" and "[tex]\texttt{2}[/tex]", only [tex]12[/tex] satisfies the requirements as the last two digits of [tex]N[/tex].
For a number to be divisible by [tex]9[/tex], the sum of all the digits must also be divisible. For [tex]N\!\![/tex] to be as small as possible, its digits should add up to the smallest multiple, [tex]1 \times 9 = 9[/tex], instead of larger ones such as [tex]18[/tex].
Since the last two digits of [tex]N[/tex] is [tex]\texttt{1}[/tex] and [tex]\texttt{2}[/tex], the other digits of [tex]N\![/tex] would need to add up to [tex]9 - 1 - 2 = 6[/tex]. To minimize the value of [tex]N\!\![/tex], these digits should consist solely of [tex]\texttt{2}[/tex]: [tex]2 + 2 + 2 = 6[/tex]. Therefore, the answer should be [tex]22212[/tex].
Write an inequality and graph the solutions.
Dion is buying a balloon bouquet. His favorite colors are silver and purple. Silver balloons cost $1.00 and purple balloons cost $0.80. How many of each color of balloons can dion put in his bouquet if he doesn't spend more than $20?
Please answer this question I have about 13 minutes left to tun this in.
The inequality and graph of the solutions will be x + 0.80y ≤ 20 and any value on the line or below.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Dion is buying a balloon bouquet. His favorite colors are silver and purple. Silver balloons cost $1.00 and purple balloons cost $0.80.
Let 'x' be the number of silver balloons and 'y' be the number of purple balloons. And if he doesn't spend more than $20. Then the inequality is given as,
$1 x + $0.80 y ≤ $20
x + 0.80y ≤ 20
Take any value on the line or below.
The inequality and graph of the solutions will be x + 0.80y ≤ 20 and any value on the line or below.
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An ice cream shop sells ice cream cones, c, and
milkshakes, m. Each ice cream cone costs $1.50
and each milkshake costs $2.00. Donna has $19.00
to spend on ice cream cones and milkshakes. If
she must buy 5 ice cream cones, which inequality
could be used to determine the maximum number
of milkshakes she can buy?
A. 1.50(5) + 2.00m 2 19.00
B. 1.50(5) + 2.00m ≤ 19.00
C. 1.50c +2.00(5) ≥ 19.00
D. 1.50c +2.00(5) ≤ 19.00
Answer:B. 1.50(5) + 2.00m ≤ 19.00
Step-by-step explanation:This inequality can be used to determine the maximum number of milkshakes that Donna can buy with her $19.00. The expression on the left side of the inequality represents the total cost of her purchase and the expression on the right side of the inequality represents the amount of money she has to spend. Since she must buy 5 ice cream cones, that is represented by the 1.50(5) term. The 2.00m term represents the cost of the milkshakes she can buy, with m representing the number of milkshakes. The inequality states that the total cost of her purchase must be less than or equal to the amount of money she has to spend, so the maximum number of milkshakes she can buy can be determined by rearranging the expression.
If Donna buys 5 ice cream cones, that adds up to, £10.00.
She is then left with £9.00.
9 divided by 1.50 = 6.
She is able to buy 6 milkshakes with the money she has left. However, she is now left with no money.
The answer would be B.1.50(5) +2.00m≤19.00
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The set of pairs for which x and y vary inversely is given as follows:
{(-1, -2/7), (4, 1/14), (6, 1/21)}
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
For an inverse relation, the relation is modeled as follows:
y = k/x.
Meaning that when x increases, y decreases at a constant rate.
The constant is then given as follows:
k = yx.
Hence the third relation is then the relation for which x and y vary inversely, as:
k = -1 x -2/7 = 4 x 1/14 = 6 x 1/21.
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The lines shown below are perpendicular. If the green line has a slope of
2
-3, what is the slope of the red line?
3'
-5
10+
1
-10-
5
10
++
15
OA 3/2
O B. 3
O C. - 13/
D. -13/1
OD.
The cost of producing X units of a product is 1.25. Per unit plus $1000 in flat production cost. If you spend $3000 on production cost, how many units were produced?
1600 units were produced , If you spend $3000 on production cost.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
The cost of producing X units of a product is 1.25. Per unit plus $1000 in flat production cost.
If you spend $3000 on production cost.
let, x units were produced.
so, we get,
1.25x+1000 = 3000
1.25x= 2000
x= 1600
Hence, 1600 units were produced , If you spend $3000 on production cost.
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Question
Which statement best describes a graph of paired points that form a proportional relationship?
Responses
A straight line cannot be drawn through all of the the points, but the line passes through the origin.
A straight line cannot be drawn through all of the the points, but the line passes through the origin.
A straight line can be drawn through all the points, and the line passes through the origin.
A straight line can be drawn through all the points, and the line passes through the origin.
A straight line can be drawn through all the points, but the line does not pass through the origin.
A straight line can be drawn through all the points, but the line does not pass through the origin.
A straight line cannot be drawn through all of the the points, and the line does not pass through the origin.
A straight line cannot be drawn through all of the the points, and the line does not pass through the origin.
A straight line can be drawn through all the points, and the line passes through the origin. Option C
What is a proportional relationship?We know that a relationship is proportional when we can be able to find an association between the variables. It is either the variables are increasing or that the variables are decreasing.
here, we have,
Thus, we would notice that if there is an association between the variables then the graph would be a straight line graph and the graph would have to pass through the origin.
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please help me find domain and range
Answer:
D: ( - ∞, 5)
R: [- 3, ∞)
Step-by-step explanation:
The domain is the set of possible x values. The function has values from below five while not including 5(as shown by the open circle). Therefore the domain would be ( - ∞, 5). (Open brackets are non-inclusive while closed brackets are inclusive).
The range is the set of possible y values. The minimum of this graph seems to be at y = -3, and there is not a maximum as while the x values decrease, the y-values infinitely increase. Therefore, the range is [- 3, ∞)
make six Simplified algebraic expressions with step by step
The step-by-step process of making simplified algebraic expressions are shown below
How to make six simplified algebraic expressions?Below are six simplified algebraic expressions with step by step solutions:
1. Simplify: 2x + 3x
Step 1: Combine like terms: 2x + 3x = 5x
Step 2: Simplified expression: 5x
2. Simplify: 7x - 4x
Step 1: Combine like terms: 7x - 4x = 3x
Step 2: Simplified expression: 3x
3. Simplify: 5y + 2y + 3y
Step 1: Combine like terms: 5y + 2y + 3y = 10y
Step 2: Simplified expression: 10y
4. Simplify: 8z - 6z
Step 1: Combine like terms: 8z - 6z = 2z
Step 2: Simplified expression: 2z
5. Simplify: 4a + 6a - 3a
Step 1: Combine like terms: 4a + 6a - 3a = 7a
Step 2: Simplified expression: 7a
6. Simplify: 9b - 7b + 5b
Step 1: Combine like terms: 9b - 7b + 5b = 7b
Step 2: Simplified expression: 7b
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Which of the following statements about the polynomial function
F(x) = x³ + 2x² - 1 is true?
A. F(x) has 1 relative minimum and 0 relative maximums
x →∞, F(x) →-∞
B. as,
x →-∞, F(x) →-∞
x → ∞, F(X) → ∞
C. as
x → -∞, F(X) →-∞
D. F(x) has 0 relative minimums and 1 relative maximum
The end behavior of the polynomial is:
x → ∞, F(X) → ∞
x → -∞, F(X) →-∞
Then the correct option is C.
Which statements are true about the polynomial?Here we have the polynomial:
F(x) = x³ + 2x² - 1
And we want to see which ones of the given statements are true. At the end of the answer you can see the graph of the function so you can know how it behaves.
There we can see that there is one relative maximum and one relative minimum, and that the end behavior is:
x → ∞, F(X) → ∞
x → -∞, F(X) →-∞
Then the only correct option is C.
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Find the number of possible outcomes if a fair 6-sided die is tossed 4 times in a row and the result (1, 2, 3, ..., 6) of each toss is recorded?
The total number of outcomes is 24
How to determine the total number of outcomesIf a fair 6-sided die is tossed 4 times in a row, there are 6 possible outcomes for each toss.
So, the number of possible outcomes would be:
6 + 6 + 6 + 6 or 6 * 4
Evaluate
Outcomes = 24
Each of the 4 tosses is independent, so there are 6 options for the result of each toss, and the total number of possible outcomes is obtained by adding the number of options for each toss as calculated above
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If n(A) = 108, n(A ∪ B) = 160, and n(A ∩ B) = 43, find n(B).
The value of n(B) in the set is 23
How to determine the value of n(B)From the question, we have the following parameters that can be used in our computation:
n(A) = 108, n(A ∪ B) = 160, and n(A ∩ B) = 43,
The value of n(B) is calculated as
n(A u B) = n(A) + n(B) - n(A n B)
Substitute the known values in the above equation, so, we have the following representation
160 = 108 + n(B) - 43
This gives
n(B) = 160 + 43 - 180
Evaluate
n(B) = 23
Hence, the solution is 23
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Bradley’s new puppy, Rufus, weighed 8.6 pounds at his first visit to the veterinarian. At his second visit, Rufus weighed 14.2 pounds. Let p be the number of pounds Rufus gained between visits. Write and solve an equation to find p.
Answer:
5.2
Step-by-step explanation:
8.6 Pounds + P = 14.2 Pounds
-8.6 Pounds -8.6 Pounds
P = 5.2
Rufus gained 5.6 pounds between his first and second visits to the veterinarian.
We have,
To find the number of pounds Rufus gained between visits, we need to subtract his initial weight from his weight at the second visit.
Therefore, we have:
pounds gained = weight at second visit - weight at the first visit
p = 14.2 - 8.6
p = 5.6
Therefore,
Rufus gained 5.6 pounds between his first and second visits to the veterinarian.
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Complete the equation so that it has infinitely many solutions.
5(6b-3)-3b =___
b____
The given equation would be, 5(6b-3) - 3b = 0 and b can take infinite number of values to make the equation true.
What equation system has an infinite number of solutions ?
The prerequisite for a situation in which an equation has an endless number of solutions is that the right and left sides of the equation are equal.
The equation is already complete and has infinitely many solutions.
The unknown variable is b, and there are an infinite number of values that b can take to make the equation true.
5(6b-3) - 3b = 0
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