The mean absolute deviation of the entire data set is 4.
To find the mean absolute deviation (MAD) of the given data set, we need to follow these steps:
Calculate the mean (average) of the data set.
Subtract the mean from each data point to find the deviation.
Take the absolute value of each deviation.
Calculate the mean of the absolute deviations.
Let's calculate the MAD for the given data set: 18, 13, 6, 14, 11, 22.
Calculate the mean.
Mean = (18 + 13 + 6 + 14 + 11 + 22) / 6 = 84 / 6 = 14.
Calculate the deviation for each data point.
Deviation = data point - mean.
Deviation for 18 = 18 - 14 = 4.
Deviation for 13 = 13 - 14 = -1.
Deviation for 6 = 6 - 14 = -8.
Deviation for 14 = 14 - 14 = 0.
Deviation for 11 = 11 - 14 = -3.
Deviation for 22 = 22 - 14 = 8.
Take the absolute value of each deviation.
Absolute deviation = |deviation|.
Absolute deviation for 4 = |4| = 4.
Absolute deviation for -1 = |-1| = 1.
Absolute deviation for -8 = |-8| = 8.
Absolute deviation for 0 = |0| = 0.
Absolute deviation for -3 = |-3| = 3.
Absolute deviation for 8 = |8| = 8.
Calculate the mean of the absolute deviations.
Mean absolute deviation = (4 + 1 + 8 + 0 + 3 + 8) / 6 = 24 / 6 = 4.
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Select the correct answer.
A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O.
What is the general form of the equation for the given circle centered at O(0, 0)?
A.
x2 + y2 + 41 = 0
B.
x2 + y2 − 41 = 0
C.
x2 + y2 + x + y − 41 = 0
D.
x2 + y2 + x − y − 41 = 0
Answer:
B is the correct answer
Step-by-step explanation:
The general form of the equation for a circle centered at the origin (0, 0) is x^2 + y^2 = r^2, where r is the radius of the circle. The radius can be calculated as the distance between the center O (0, 0) and point B (4, 5) on its circumference using the distance formula: r = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((4 - 0)^2 + (5 - 0)^2) = sqrt(16 + 25) = sqrt(41). Therefore, the equation for the given circle centered at O (0, 0) is x^2 + y^2 = 41. The correct answer is B. x^2 + y^2 − 41 = 0.
If n ∥ m, which of the following statements are true? Select all that apply.
Answer:
Step-by-step explanation:
Parallel lines would never intersect no matter how long the lines go on for because they have the same slope. That will always be true.
a truck costs $30,000 and has an estimated life of 5 years with a residual value of $10,000. Prepare a depreciation schedule using the declining-balance method at twice the straight-line rate
The depreciation schedule for this truck using the declining-balance method at twice the straight-line rate are $24,000, $33,600, $39.744, $43,502 and $45,248
To create the depreciation schedule, we'll start with the cost of the asset and subtract the depreciation for each year. The depreciation for each year is calculated by multiplying the declining-balance rate by the book value of the asset at the beginning of the year.
The book value is simply the cost of the asset minus the accumulated depreciation. So in year 1, the book value is $30,000, and the depreciation is $8,000 (the declining-balance rate) times $30,000, which is $24,000. This means that the accumulated depreciation at the end of year 1 is $24,000.
To calculate the book value at the end of year 1, we simply subtract the accumulated depreciation ($24,000) from the cost of the asset ($30,000), which gives us $6,000.
=> $30000 - $6000 = $24000
This process is continued for the next five years that can be illustrated through the table.
Year Cost Depreciation Accumulated Depreciation Book Value
1 30,000 24,000 24,000 6,000
2 6,000 9,600 33,600 -3,600
3 -3,600 6,144 39,744 -9,744
4 -9,744 3,758 43,502 -13,502
5 -13,502 1,746 45,248 -15,248
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A cafe sells small, medium and large mugs of coffee. A small mug has a capacity of 100 ml. A medium mug has double the capacity of a small mug. A large mug has double the capacity of a medium mug. Work out the capacity, in litres, of a large mug.
Answer:
Answer:
12 ounces
Step-by-step explanation:
Let x = Small Mug
& y = Large Mug
Then we write the given statement in an equation form as below:
2x + 1y = 20 ounces of coffee ---------------> EQUATION 1
3y - 1x = 32 ounces of coffee ----------------> EQUATION 2
Let us solve the above equation for y;
Multiply Equation 2 by '2', we get;
-2x + 6y = 64 ----------------------> Equation 3
Add Equation 1 and Equation 3, we get;
(2x + y) + (-2x + 6y) = 64 + 20
7y = 84
Divide the above equation by 7, we get;
y = 84 / 7
or, y = 12
Hence, One Large mug can hold 12 ounces of coffee.
Step-by-step explanation:
A recipe for cookies makes 3 dozen cookies and uses
3
2 1/4 cups of flour and 3/4
cups of sugar. Sam needs to
make 5 dozen cookies. How many cups of flour and
sugar will Sam need for the recipe?
The number of cups of flour and sugar that Sam needs for the recipe will be 3.75 cups and 1.25 cups, respectively.
Given that:
A recipe for cookies makes 3 dozen cookies and uses 2 1/4 cups of flour and 3/4 cups of sugar.
The utilization of two or more additional numbers that compares is known as the ratio.
The expression that represents the 'n' dozen of cookies is given as,
⇒ n (2¹/₄) / 3 + n(3/4) / 3
⇒ n (2.25) / 3 + n(0.75) / 3
Put n = 5, then we have
⇒ 5 (2.25) / 3 + 5(0.75) / 3
⇒ 11.25/3 + 3.75/3
⇒ 3.75 + 1.25
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party opposed to expanding slavery (2 words, section 1)
Answer:
The party opposed to expanding slavery in the United States was the Republican Party. It was actually formed to go against slavery.
Altina Restaurant Flexible Budget for November 2010
A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
What is Net Income?Net income, considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
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The diameter of a circle is 32 miles. What is the circle's circumference? d=32 mi Use 3.14 for .
200.96 is the circle's circumference .
What is a circle, exactly?
A circle is a closed, two-dimensional object in which the distances between every point in its plane and its centre are all equal. The creation of the reflection symmetry line is influenced by each line that crosses the circle.
Additionally, any angle surrounding the centre exhibits rotational symmetry. A figure with a circular form that lacks both sides and edges is referred to as a circle. A circle can be referred to in geometry as a closed form, a two-dimensional shape, or a curved shape.
C = 2πr
C = 2 *π * 32
C = 2 x 3.14 x 32
C = 200.96
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need some help setting up and solving these equations
The quantity of ounce for each kind of food that will be used would be given as follows;
Food A= 2.18oz
How to calculate the quantity of ounce for each number of foods?For food A;
The calories in an Oz = 100 cal
Total calories in the whole food = 1100cal
The equivalent of cal that should be in 2400;
= X
That is;
100= 1100
X = 2400
Make X the subject of formula;
x= 100×2400/1100
X = 240000/1100
X = 218
if 1 Oz = 100 cal
X Oz = 218
X Oz = 218/100
= 2.18oz
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NO LINKS!! URGENT HELP PLEASE!!!
Express the statement as an inequality part 8a^2
Answer:
(g) D, (h) A--------------------
Part (g)'At most' means less than or equal, therefore the quotient of p and q is:
p/q ≤ 6The matching choice is D.
Part (h)'At least' means more than or equal, therefore the reciprocal of w is:
1/w ≥ 9The matching choice is A.
Answer:
g) The correct option is: p/q ≤ 6
The phrase "the quotient of p and q" means p divided by q, which is expressed as p/q. The statement "the quotient of p and q is at most 6" means that the value of p/q cannot exceed 6, but it can be less than or equal to 6. Therefore, we use the less than or equal to a symbol (≤) to represent this statement.
here is an explanation of each option:
p/q = 6: This statement indicates that the quotient of p and q is exactly 6. In other words, p/q can only be equal to 6 and not less than or greater than 6.p/q ≥ 6: This statement indicates that the quotient of p and q can be equal to 6 or greater than 6. In other words, p/q can be any value that is greater than or equal to 6.p/q > 6: This statement indicates that the quotient of p and q can be greater than 6, but not equal to 6. In other words, p/q can be any value that is greater than 6.p/q ≤ 6: This statement indicates that the quotient of p and q can be equal to 6 or less than 6. In other words, p/q can be any value that is less than or equal to 6.p/q < 6: This statement indicates that the quotient of p and q can be less than 6, but not equal to 6. In other words, p/q can be any value that is less than 6.Here's how to express each statement as an inequality in terms of 8a^2:
p/q ≤ 6:
Multiplying both sides by q, we get:p ≤ 6q
Multiplying both sides by 8a^2, we get:8a^2p ≤ 48a^2q
Therefore, the inequality for p/q ≤ 6 in terms of 8a^2 is:8a^2p ≤ 48a^2q
h) The correct option is: 1/w ≤ 9
The reciprocal of a number w is 1/w. The phrase "the reciprocal of w is at least 9" means that the value of 1/w cannot be less than 9, but it can be greater than or equal to 9. Therefore, we use the less than or equal to symbol (≤) to represent this statement.
Here's an explanation of each option:
1/w ≥ 9: This statement indicates that the reciprocal of w is greater than or equal to 9. In other words, 1/w can be any value that is greater than or equal to 9.1/w < 9: This statement indicates that the reciprocal of w is less than 9. In other words, 1/w can be any value that is less than 9.1/w ≤ 9: This statement indicates that the reciprocal of w cannot be less than 9, but it can be greater than or equal to 9. In other words, 1/w can be any value that is greater than or equal to 9.1/w > 9: This statement indicates that the reciprocal of w is greater than 9. In other words, 1/w can be any value that is greater than 9.1/w = 9: This statement indicates that the reciprocal of w is exactly 9. In other words, 1/w can only be equal to 9 and not less than or greater than 9.Here's how to express each statement as an inequality in terms of 8a^2:
1/w ≤ 9:
Multiplying both sides by w, we get:1 ≤ 9w
Subtracting 1 from both sides, we get:0 ≤ 9w - 1
Multiplying both sides by 8a^2, we get:0 ≤ 72a^2w - 8a^2
Therefore, the inequality for 1/w ≤ 9 in terms of 8a^2 is:0 ≤ 72a^2w - 8a^2
Note that the inequality for 1/w ≤ 9 involves a quadratic term with respect to "w," whereas the inequality for p/q ≤ 6 only involves linear terms with respect to "p" and "q."
What is the lateral surface area
Answer:
A- 304.8 cm²
Step-by-step explanation:
Find the area for the 4 sides (excluding both the top and base).
(2(12×7.5))+(2(12×5.2)) = 302.8
Answer:
A. 304.8 cm²
Step-by-step explanation:
The rectangular prism has a total of 6 rectangular sides
~ two at the bottom and top both of equal dimensions 5.2 x 7.5
~ two at the front and back both of equal dimensions 12 x 7.5
~ two one on the left side and the other on the right side both of equal dimensions 12 x 5.2
The question is asking only for the lateral surface area. This means we ignore the top and bottom surfaces
For each of the other two pairs of rectangles, the surface area is nothing but the product of the dimensions for each rectangle
Therefore area of all the 4 rectangles is
2(5.2 x 7.5 + 12 x 5.2)
We multiply by 2 since there are 2 of each rectangular surface
2(5.2 x 7.5 + 12 x 5.2) = 304.8 cm² ANSWER
dont feel like doing
Answer:
Part a 6 and 9
Step-by-step explanation:
Part B is 7.3 because u just find the sq root of 54 which can't go down the easiest is finding the decimal form
Carly ordered shoes online from her favorite store. The shipping costs for her
purchase is $5.50. Her total cost for the entire purchase is $60.75. Which
equation below could be used to calculate s, the cost of her shoes without
shipping included?
The equation to calculate the cost of her shoes without shipping included is: x = 55.25
The equation to calculate s, the cost of her shoesLet x be the cost of Carly's shoes.
The problem states that the total cost of her purchase (including shoes and shipping) is $60.75, so we can set up the equation:
x + 5.50 = 60.75
To find the cost of her shoes without shipping, we need to isolate x. We can do this by subtracting 5.50 from both sides:
x + 5.50 - 5.50 = 60.75 - 5.50
Simplifying:
x = 55.25
Therefore, the equation to calculate the cost of her shoes without shipping included is: x = 55.25
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from a group of seven candidates, a committee of six people is selected. in how many different ways can the committee be selected?
According to the informations, there are 7 different ways a committee of six people can be selected from a group of seven candidates.
How can we find this number?In this case, we must use the combination formula, which is expressed by:
nCr = n! / r!(n-r)!Where n is the total number of items in the set, r is the number of items being selected, and ! denotes the factorial function, which means multiplying a number by all the positive integers less than it.
Therefore, from a group of 7 candidates, a committee of 6 people can be selected in 7 different ways using the combination formula. The formula for the combination of n objects taken r at a time is C(n,r) = n!/r!(n-r)!, where n is the total number of objects and r is the number of objects to be chosen. In this case, we have n = 7 and r = 6, so the formula gives us C(7,6) = 7!/6!(7-6)! = 7 ways.
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50 Points! Multiple choice algebra question. Use the value of the discriminant to determine the number and type of roots for the equation x^2-3x+7=0. Photo attached. Thank you!
The correct option A: 2 complex roots will be obtained from the given quadratic equation.
Explain about the discriminant:The quadratic formula's section under square root is the discriminant.
The number of solutions to the given quadratic equation depends on the discriminant, which can be positive, zero, or negative.
A quadratic equation with a positive discriminant has two unique real number solutions.A repeating real number solution to the quadratic equation is indicated by a discriminant of zero.Both of the answers are not real numbers, according to a negative discriminant.Given quadratic equation:
x² - 3x + 7 = 0 ..eq 1
standard form of quadratic equation:
ax² + bx + c = 0 ..eq 2
On comparing eq 1 and eq 2
a = 1, b = -3 and c = 7
Check the value of discriminant:
D = b² - 4ac
D = (-3)² - 4*1*7
D = 9 - 28
D = - 19
D < 0 (No real roots)
As, rational as well as irrational both are real number, so only option that satisfy the obtained condition is:
A: 2 complex roots.
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Work backwards, using the Distributive Property, to check the factors and identify the original polynomial of this factored function: (2 + 5)( + 7)
Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = ∇f. (If the vector field is not conservative, enter DNE.)
F(x, y, z) = [tex]xyz^3[/tex] i + [tex]x^2z^3[/tex] j + [tex]3x^2yz^2[/tex] k
Answer:its is conservative
Step-by-step explanation:
The cost to rent a car from Rent a Wreck is $15 a day plus a $30 deposit. The cost to rent a car from Barely Running is $20 a day. How many days would you have to rent the car for the cost of both companies to be the same?
In the equation , cost of both companies will be same to rent a car is 6 days.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here the deposit for the rent car in Wreck = $30
Cost for renting in Wreck = $15 per day
Cost for renting in Barely = $20 per day.
Here let us take the number of days as x.
Then, Cost for renting in Wreck = 15x+30
Cost for renting in Barely = 20x
To rent a car , if cost of both companies is same then the equation is,
=> 15x+30 = 20x
=> 20x-15x = 30
=> 5x = 30
=> x = 30/5 = 6
Hence We have to rent a car for 6 days the cost of both companies to be the same.
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PROJECTILE A firework is launched from the ground. After 4 seconds, it reaches a
maximum height of 256 feet before returning to the ground 8 seconds after it was
launched. The height of the firework f(x), in feet, after x seconds can be modeled
by a quadratic function.
a. What are the zeros and vertex of f(x)?
b. Sketch a graph of f(x) using the zeros and vertex of the function. Interpret the
key features of the function in the context of the situation.
c. Write a quadratic function that represents the situation.
(a) The vertex is (6, 144),(b) When the fireworks are launched at time x = 0 and return to the earth at time x = 12 seconds, respectively, these times are denoted by zeros in the function,.(c) this is the quadratic function that represents the situation f(x) = -4 + 144.
How to deal with this problem?a. To find the zeros and vertex of the quadratic function, we need to first write it in the standard form:
[tex]f(x) = ax^2 + bx + c[/tex]
where a, b, and c are constants.
The vertex of the function is given by:
x = -b/2a
Since the quadratic function is symmetrical around the vertex, we know that the time it takes to reach the maximum height is halfway between the launch time and the time it hits the ground again. So, the time to reach maximum height is (4 + 8)/2 = 6 seconds.
Therefore, we can set up a system of equations using the information given:
f(4) = 0 (the firework is launched from the ground)
f(6) = 256 (the firework reaches its maximum height)
f(12) = 0 (the firework hits the ground again)
Plugging in the values of x and f(x), we get:
16a + 4b + c = 0
36a + 6b + c = 256
144a + 12b + c = 0
Solving this system of equations, we get:
a = -4
b = 48
c = 0
Therefore, the quadratic function that represents the situation is:
[tex]f(x) = -x^2 + 48x[/tex]
The zeros of the function can be found by setting f(x) = 0:
[tex]f(x) = -4x^2 + 48x[/tex]
0 = x(-4x + 48)
x = 0 (the firework is launched from the ground)
x = 12 (the firework hits the ground again)
The vertex can be found using the formula:
x = -b/2a = -48/(-8) = 6
So the vertex is (6, 144).
b. Using the zeros and vertex, we can sketch a graph of f(x):
The quadratic function's graph
Considering the function's primary characteristics in light of the circumstances:
The peak height of the fireworks, which occurs at x = 6 seconds and f(6) = 256 feet, is represented by the function's vertex.
The firework is at ground level at x = 0 (launch time) and x = 12 seconds (when it reaches the ground again), which are represented by zeros in the function.
The graph's form suggests that the firework rises before falling again, which is consistent with the scenario given.
c. The quadratic function that represents the situation is:
[tex]f(x) = -4x^2 + 48x[/tex]
This function can be simplified by factoring out -4:
[tex]f(x) = -4( x^2- 12x)[/tex]
Completing the square:
[tex]f(x) = -4( x^2- 12x + 36 - 36)[/tex]
[tex]f(x) = -4( (x^2-6)- 36)[/tex]
[tex]f(x) = -4(x^2-6) + 144[/tex]
This form of the function shows that the vertex is (6, 144), and that the maximum height is 144 feet.
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Two students began a proof of the law of sines.
C
b
A
h
Student I
sin(A)
sin(B)
T
bsin(A) = h
asin(B) = h
a
bsin(A)= asin(B)
sin(A)=sin(B)
b
Student 2
sin(A) =
sin(B) =
-1/2
asin(A)= h
bsin(B) = h
asin(A)=bsin(B)
sin(A)=sin(B)
B
Which student correctly started the proof, and what should that student do next to complete the proof?
Answer: Hi! Read the explanation below:
Brainliest?
Step-by-step explanation:
Student 1 correctly started the proof.
To complete the proof using the law of sines, student 1 should use the fact that the sum of angles in a triangle is 180 degrees to obtain an expression for angle C, and then use the fact that the sum of the lengths of the opposite sides of an angle in a triangle is equal to the length of the third side to obtain an expression for side c in terms of sin(A) and sin(B).
Here's the complete proof:
Starting with Student 1's work:
bsin(A) = h
asin(B) = h
Using the fact that the sum of angles in a triangle is 180 degrees:
C = 180 - A - B
Using the fact that the sum of the lengths of the opposite sides of an angle in a triangle is equal to the length of the third side:
a/sin(A) = b/sin(B) = c/sin(C)
Substituting in the expressions for c and sin(C) in terms of sin(A) and sin(B):
a/sin(A) = b/sin(B) = 2h/(sin(A)+sin(B))
Simplifying:
a = 2hsin(A)/(sin(A)+sin(B))
b = 2hsin(B)/(sin(A)+sin(B))
c = 2hsin(C)/(sin(A)+sin(B)) = 2hsin(180-A-B)/(sin(A)+sin(B)) = 2h*sin(A+B)/(sin(A)+sin(B))
Therefore, the law of sines is:
a/sin(A) = b/sin(B) = c/sin(C) = 2h/(sin(A)+sin(B))
help me and thank you
Answer:
Option A, is 8x^6.
Step-by-step explanation:
4x³ × 2x³ = (4 × 2) x^(3+3) = 8x^6
Therefore, 4x³ × 2x³ simplifies to 8x^6.
You're welcome. :)
A) 8x⁶
Step-by-step explanation:Exponents have different rules for operations such as multiplication.
Multiplying Coefficients
When multiplying different terms with exponents, the first thing we should do is multiply the coefficients. Even though there are variables with different exponents, we still multiply the coefficients like normal. This means that the coefficient of the answer should be 8 because 4 * 2 =8. However, you should note that you can only multiply the coefficients and simply the expression if the terms have the same variable.
Multiplying Exponents
To multiply 2 terms with exponents, you should add the exponents together. For example, x⁴ * x⁶ = x¹⁰. No matter what the coefficients are, if the variables are the same, then this method will work. This means that x³ * x³ = x⁶. Then, combine this with the coefficient from before and 4x³ * 2x³ = 8x⁶.
Expand and simplify 3(6y+5) — 2(4y — 1) pleaseee lots of points for answering
Answer:
10y + 17
Step-by-step explanation:
1) (given): 3(6y+5) — 2(4y — 1)
2) (distributive property): 18y + 15 - 8y + 2
3) (combine like terms): 10y + 17
Three fair coins are tossed. How many different outcomes will
there be?
Answer:
just 2 outcomes
Step-by-step explanation:
no matter how often you throw it, there are only two sides available
The diagram represents two statements:p and q Which represents regions a,b,c
The statement for regions A, B, C are "Elements in P but not in Q." "Elements in both P and Q." and "Elements in Q but not in P." respectively
Describing the statements of the regions of A, B and CThe descriptions of the regions A, B and C from the Venn Diagram that complete the question are as follows:
Region A:
This region represents the set of elements that belong only to P, but not to Q i.e. A is the set of elements that are in P but not in Q.
Region B:
This region represents the set of elements that belong to both circle P and circle Q. i.e. B is the intersection of sets P and Q.
Region C:
This region represents the set of elements that belong only to circle Q, but not to circle P. i.e. C is the set of elements that are in Q but not in P.
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The function f(x) = 1.85x2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.
To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.
The function value at x = 10 is:
f(10) = 1.85(10)^2 = 185
The function value at x = 20 is:
f(20) = 1.85(20)^2 = 740
The length of the interval is:
20 - 10 = 10
So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:
(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5
Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.
Please help studying for next grade.
98+107÷(82-12)x122
Answer:
284.06
Step-by-step explanation:
To solve this expression using the order of operations (PEMDAS), we must first perform the operations inside the parentheses: 82-12 equals 70. Next, we must perform the multiplication and division from left to right: 107 divided by 70 equals approximately 1.53, and 1.53 times 122 equals approximately 186.06. Finally, we add 98 to get our answer. Therefore, the expression 98+107÷(82-12)x122 simplifies to approximately 284.06.
Answer:
284.06
Step-by-step explanation:
got it right on edge
A group of employees were asked whether they drive or walk to work.
The probability of being a male and derive from a group of employees were asked whether they drive or walk to work is equal to 0.27.
From the table representing the probabilities of a group of employees.
Employees divided into two groups,
One is male .
Second is female.
While going for work there are two ways .
Derive to walk.
Walk to work.
Different probabilities are as follow,
Male and derive 0.27
Male and walk = 0.27
Female and derive = 0.23
Female and walk = 0.23
The required probability of being a male and derive
= 0.27.
Therefore, the probability of derive and male is equal to 0.27.
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Find the surface area
Round to the nearest tenth
x+y=12 and2x+5y=36 what are the values of x and y
The values of x and y that satisfy the system of equations are x = 8 and y = 4.
What are the values of x and yTo solve for the values of x and y in the system of equations:
x + y = 12
2x + 5y = 36
We can use the method of substitution. Solving the first equation for x, we get:
x = 12 - y
We can substitute this expression for x into the second equation and solve for y:
2(12 - y) + 5y = 36
24 - 2y + 5y = 36
3y = 12
y = 4
Now that we know y is 4, we can substitute this value back into the first equation and solve for x:
x + 4 = 12
x = 8
Therefore, the values of x and y that satisfy the system of equations are x = 8 and y = 4.
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Is -4/3 perpendicular to 3/4
Answer:
no its not
Step-by-step explanation:
Using the slope-intercept form, the slope is Undefined. The slope of a perpendicular line to a vertical line is zero.