The median rating assigned by the agents is mathematically given as
X=4.35
This is further explained below.
What is the median rating assigned by the agents?Generally,4.35 is the middle rating that the agents have given the product.
In light of the fact that an airline requested that its agents rate the level of convenience offered by 114 flights departing from one of its hub locations on a scale ranging from 1 to 7, the following graph has to be evaluated in order to discover what the median rating that the agents gave was:
X=(8 x 1 + 11 x 2 + 19 x 3 + 17 x 4 + 23 x 5 + 25 x 6 + 11 x 7) / 114
X=(8 + 22 + 57 + 68 + 115 + 150 + 77) / 114
X=497/114
X=4.35
In conclusion, 4.35 is the median rating that the agents have given the product.
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Please help me out please please please
Answer:
Step-by-step explanation:
11. Areas as Sum: 7d+28
Areas as Product: 7(d+4)
12. Areas as Sum: [tex]y^{2}[/tex]+3y
Areas as Product: y (y+3)
Answer:
Step-by-step explanation:
Using the distributive property, you would multiply 7(d+4) for the question after the example. The side length is your root, and you are multiplying the numbers after it by that root.
Help very much needed, Mathematics.
Find the slope of the following graph and write your result in the empty box
Answer:
The slope is 2.
Step-by-step explanation:
You can use the slope formula or pick two points, count up from one point then to the right. Use rise/run if you use the counting method.
The slope formula is y2-y1/x2-x1
Use the points (20, 20) and (30, 40)
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Please mark as brainliest if correct!
Carolyn and Gershon are competing to see who can raise the most money for cancer research. Carolyn’s parents gave her $100, and she raised $15 a day. Gershon’s parents gave him $50, and he raised $15 a day. If they continued at the same rate, who won the contest?
Carolyn will win the contest as the money raised by her is more than the money raised by Gershon.
We are given that:
For Carolyn:
Money given by parents = $ 100
Money she raises every day = $ 15
For Gershon:
Money given by parents = $ 50
Money he raises every day = $ 15
Let the number of days a contest lasts be x.
So, the equations for both will be:
For Carolyn:
100 + 15 x
For Gershon:
50 + 15 x
By comparing, we get that:
Money raised by Carolyn > Money raised by Gershon.
Therefore, we get that, Carolyn will win the contest as the money raised by her is more than the money raised by Gershon.
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36/60
Consider the fraction
Use the greatest common factor to rewrite the fraction in lowest terms.
Answer: 3/5
Step-by-step explanation:
First prime factor to get GCF:
36= 2 x 2 x 3 x 3
60= 2 x 2 x 3 x 5
GCF= 2 x 2 x 3 = 12
Therefore u divide each number by 12 to get your answer.
36/12=3 60/12=5
Fraction in lowest terms= 3/5
(x+y) 4
Binomial expansion
The binomial expansion for ( X + Y )⁴ is X⁴ + 4 X³(Y) + 6 X²(Y²) + 4 XY³ + Y⁴.
Use the binomial expansion theorem to find each term. The binomial theorem states ( a + b )ⁿ = ⁿ∑ _{k = 0} n C k ⋅ ( a^(n - k) × b^{k} ) .
⁴∑ _{k = 0} = ( 4 ! / [ ( 4 − k ) ! k ! ] ) × ( X )^{4 - k} × ( Y )^{k}
Expanding the summation.
( X + Y )⁴ = ( 4! / ( 4 − 0 )! 0! ) × ( X )⁴⁻⁰ × ( Y )⁰ + ( 4! /( 4 − 1 )! 1! ) × ( X )⁴⁻¹ × ( Y )¹ + ( 4! / ( 4 − 2 )! 2! ) × ( X )⁴ ⁻ ² × ( Y )² + ( 4! /( 4 − 3 )! 3! ) × ( X )⁴ ⁻ ³ × ( Y )³ + 4! / ( 4 − 4 )! 4! × ( X )⁴ ⁻ ⁴ × ( Y )⁴
Simplify the exponents for each term of the expansion.
( X + Y )⁴ = 1 × ( X )⁴ × ( Y )⁰ + 4 × ( X )³ × ( Y )¹ + 6 × ( X )² × ( Y )² + 4 × ( X )¹ × ( Y )³ + 1 × ( X )⁰ × ( Y )⁴
Therefore,
( X + Y )⁴ = X⁴ + 4 X³ (Y) + 6 X² (Y²) + 4 X Y³ + Y⁴
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Geometry. It may be hard, or easy.
The area of the whole figure includes the areas of the rectangle and the two triangles and the value is 60 square units
What are areas?The area of a shape is the amount of space on the shape.
For most regular shapes, the area is the product of their width and the length
How to determine the area of the figure?Rectangle A
The dimensions of this rectangle are
Length = 8
Width = 10 - 5 = 5
The area of the rectangle is
Area = Length * Width
This gives
Area = 8 * 5
Evaluate the product
Area = 40
Triangle B
The dimensions of this rectangle are
Base = 6
Height = 10 - 5 = 5
The area of the triangle is
Area = 0.5 * Base * Height
This gives
Area = 0.5 * 6 * 5
Evaluate the product
Area = 15
Whole figure
The area of the whole figure is
Area = Rectangle A + Triangle B + Triangle C
This gives
Area =
Evaluate the product
Area = 40 + 15 + 5
Evaluate
Area = 60
Hence, the area of the whole figure is 60 square units
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PLEASE HELP ME ASAP
Answer:
[tex] \sf \: x ≤ \frac{11}{6} \: or \: x> \frac{11}{3} [/tex]
Step-by-step explanation:
First question
6x-2≤9
Step 1: Add 2 to both sides.
6x−2+2≤9+2
6x≤11
Step 2: Divide both sides by 6.
6x/6 ≤ 11/6
x≤11/6
Second question
4+3x>15
Step 1: Simplify both sides of the inequality.
3x+4>15
Step 2: Subtract 4 from both sides.
3x+4−4>15−4
3x>11
Step 3: Divide both sides by 3.
3x/3 > 11/3
x> 11/3
ppppppllllllssss hhhhheeeeellllpppppp
The integer fraction of the expression 14x⁻², for x = 7 is 2 / 7.
How to simplify an expression?The expression is expressed as follows:
14x⁻², for x = 7
This simply implies we have to simplify the expression when x = 7.
Therefore, we have to substitute the value of x in the expression. The value of x is 7.
Hence,
using indices law,
x⁻¹ = 1 / x
Therefore,
14x⁻² = 14 / x²
Hence,
14 / x² = 14 / 7²
14 / 7² = 14 / 49
14 / 49 ÷ 7 / 7 = 2 / 7
Therefore, the integer fraction of the expression 14x⁻², for x = 7 is 2 / 7.
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In 9 minutes, Keiko can type 45 words.
What is her rate in words per minute?
As a point on a graph moves upward and leftward the value of its x coordinate _ and the value of its y coordinate _.
1.rises;rises
2.rises;falls
3.falls;rises
4.falls;falls
A line with a slope of -1/9 passes through the points (w, -2) and (3, -3). What is the value of 9 W?
The value of the term 9w using the slope of the line is found as 54.
What is defined as the slope of the line?A line's slope is described as the shift in y coordinate to regard to the shift in x coordinate. The net y coordinate change is Δy, whereas the net x coordinate change is Δx. So the change in y coordinate in connection with the shift in x coordinate is written as, m = Δy/Δx.As per the given question;
The slope of the line is given as;
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope = m = -1/9
The two coordinates from where the line is passing is (w, -2) and (3, -3).
Thus,
(x₁, y₁) = (w, -2)
(x₂, y₂) = (3, -3)
Put the values in the slope equation;
m = (y₂ - y₁)/(x₂ - x₁) = -1/9
(-3 + 2)/(3 - w) = -1/9
Cross- multiplying the terms;
9(-3 + 2) = -(3 - w)
Simplifying;
-9 = -3 + w
w = 6
The value of 9w = 9×6
9w = 54.
Therefore, the value of 9w is found as 54.
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For each set of values, determine which is greater without using a calculator. √6 or √2+1
√6 is greater than √2+1.
Suppose that √6 is greater than √2+1. Then we check if our assumption is correct.
So √6 > √2+1
Squaring both sides and using the identity [tex](a+b)^2=a^2+b^2+2ab[/tex],
⇒ 6 > 3 + 2√2
Subtracting 3 from both sides,
⇒ 3 > 2√2
Again squaring on both sides,
⇒ 9 > 8
This is true. So our assumption is right.
Therefore, √6 > √2+1
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A school has ordered 16 buses that each have 40 seats for a school trip. There are 32
teachers and 576 students. Each bus must have 2 teachers and the rest students. If the
students are distributed evenly amongst the buses, how many students would be on each
bus? How many empty seats will there be in total?
36 students will be in each buses for the trip.
The total number of empty seat in the buses is 32
How to find the total number of seats?The school ordered 16 buses that each have 40 seats for a school trip.
There are 32 teachers and 576 students.
Each bus must have 2 teachers and the rest students.
The students were distributed evenly amongst the buses.
Therefore,
number of student in each buses = total number of student / number of buses
number of student in each buses = 576 / 16
number of student in each buses = 36
Therefore, 36 students will be in each buses for the trip.
Each buses has 40 seats.
Recall, 2 teachers are even distributed in each buses.
Therefore
number of empty seat in total = 16 × (40 - 36 - 2)
number of empty seat in total = 16 × 2
number of empty seat in total = 32
Therefore, the total number of empty seats in the buses is 32.
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MODELING REAL LIFE A cell phone plan costs $30 for each line. (See Example 4.)
a. Does the situation represent a function? If so, identify the independent and dependent variables.
b. You can have a maximum of four lines on a plan. Find the domain and range.
The situation is a function; the independent variable is the number of lines and the dependent variables is the total cost
The domain is 0 <= x <= 4 and the range is 0 <= y <= 120
a. Does the situation represent a function?The statement is given as
A cell phone plan costs $30 for each line
Let the number of lines be x and the total cost be y
So, we have
y = cost per line * x
This gives
y = 30x
The above equation represents a linear function
This means that the situation is a function; the independent variable is the number of lines and the dependent variables is the total cost
b. Find the domain and range.From the question, we have
You can have a maximum of four lines on a plan.
This means that the possible values of x are
x = 0, 1, ... 4
When these values are substituted in y = 30x, we have
y = 30 * 0 = 0
y = 30 * 4 = 120
Hence, the domain is 0 <= x <= 4 and the range is 0 <= y <= 120
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Multiply. HELP
9/4⋅14
Responses
23/4
28
63/2
I don't know.
Answer:
63/2
Step-by-step explanation:
Multiply the fraction.
[tex]\frac{9}{4}\cdot \:14\\=\frac{9}{4}\cdot \frac{14}{1}\\=\frac{9\cdot \:14}{4\cdot \:1}\\=\frac{9\cdot \:14}{4}\\=\frac{9\cdot \:2\cdot \:7}{4}\\=\frac{9\cdot \:2\cdot \:7}{2\cdot \:2}\\=\frac{9\cdot \:7}{2}\\=\frac{63}{2}[/tex]
Answer:
63/2
Step-by-step explanation:
[tex]\frac{9}{4}[/tex] [tex](\frac{14}{1})[/tex] You can write 14 as a fraction by putting it over 1.
Now, multiple across
[tex]\frac{126}{4}[/tex]
Now divide the top and the bottom by 2
[tex]\frac{63}{2}[/tex]
Solve by factoring. Check your answers. x²=5 x+14
The factoring of the expression x² = 5 x + 14 is (x+2)(x-7)
By ordering the values, we get:
x²- 5x - 14 = 0
To solve this exercise, we have to follow the rules of factoring:
1. Looking for the a and b number that state the following equations:
a + b = -5a * b = -14Analyzing that (a*b) is a negative number, it means that (a) and (b) have different signs, and due to the results of (a+b) is negative the higher number has to be the negative one.
The number could be:
a = 2
b = -7
Confirming:
a + b = 2 + (-7) = -5
a * b = 2 * (-7) = -14
2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:
(x+2)(x-7)
What is factoring?Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.
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I will Mark brainlist crown. please help Its a math question (geometry)
Thank you soo much .
Answer: 72 degrees
Step-by-step explanation:
ok, so the interior angles of a pentagon are 108 degrees, and the line that the two angles are on is equal to 180 degrees, so 180-108 is 72 degrees
Multiply. Write your answer in simplest form.
√5• √18
The answer to the question is 3√10.
The concept used here is radical expressions
Radicals, like fractions, are often simplified till you have got the littlest attainable elements.
Be conscious of what numbers square measurewithin the unconventional sign and that square measure not! Unless you'll be able to take the rootof the individual prime numbers, they have to stay beneath the unconventional.The same methodworks for variables beneath the unconventional.
On multiplying 5 and 18 we get expression as -√90
90 can be rewritten as 9×10
9 can further be written as 3²
On simplifying we get √9×10
Since 9 is the square root of 3 we can take 3 outside the square root sign.
So the final answer is 3√10.
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A classmate writes the matrix at the right to represent a system and says that the solution is x=2, y=0. Explain your classmate's error and describe how to correct it.
A classmate writes the matrix at the right to represent a system and says that the solution is x = 2, y = 0. Classmate's error and how to describe it is mentioned as follows:
Given:
x = 2
y = 0
From this we can say that The second row of the matrix doesn't have a coefficient in the y column. The equation represented by second row is 0 = 0 and not y = 0.
Thus it is concluded that the equation represented by second row is 0 = 0 not y = 0.
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Simplify each expression. (16)³/₄
The simplified expression is 8
To find the simplified form of the mentioned expression, we will first simplify the value in bracket. Then, multiply the powers to solve it.
As per the known fact, 4² and 2⁴ result to give the number 16.
Expression = (2⁴)³/₄
Now, again as per the known fact, the exponents can be multiplied.
Exponents = 4×(3/4)
Cancelling 4 as it is common in both numerator and denominator
Exponents = 3
Putting the resultant exponent back to the expression -
Expression = 2³
Taking cube -
Expression = 2×2×2
Performing multiplication
Expression = 8
Hence, the simplified form of expression is 8
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if -12r+16= -8 what is the value of r
Answer:
r = 2
Step-by-step explanation:
-12r + 16 = -8
Subtract 16 from both sides to isolate the r term.
-12r + 16 - 16 = -8 - 16
-12r = -24
Divide both sides by negative twelve.
-12r/-12 = -24/-12
Solve.
r = 2
Answer:
r=2
Step-by-step explanation:
sub 16 frome each side: -12r=-24
divide both sides by -12: r=2
would have made it more detailed but im lazy rn, have a good day
Question content area left
Part 1
Complete the table to find the value of a nonzero number raised to the power of 0.
Your question was incomplete. Please refer below to find the table in the image.
We need to know about powers and indices to solve the problem. The value of nonzero number raised to the power of 0 is 1.
When a number is raised to a certain power, it can be simplified as the number is multiplied to itself the number of times as the power. For example if we write [tex]2^{3}[/tex] we mean 2x2x2 which is 8. Similarly in this question we have to find the various powers of 9, the answer to [tex]9^{4}[/tex] is given, we need to find for the powers 3,2,1, and finally 0.
[tex]9^{3}[/tex]=9x9x9=729
[tex]9^{2}[/tex]=9x9=81
[tex]9^{1}[/tex]=9
[tex]9^{0}[/tex]=1
When any nonzero number is raised to the power of zero the result is one.
Therefore we found out using the concept of powers and indices that the value of a nonzero number raised to the power of 0 is 1.
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the quotient 3. Write a multiplication equation that corresponds to each division equation. a. 10÷5= ? b. 4.5 ÷ 3 = ? c. 1/2 + 4 = ?
The multiplication equations are :
a. 10 ÷ 5 = 2 × 5 = 10 and 5 × 2 = 10
b. 4.5 ÷ 3 = 3 × 1.5 = 4.5 and1.5 × 3 = 4.5
Multiplication Equation :A complete multiplication equation will have the numbers that are being multiplied together on one side of the equal sign, and what they are equal to on the other side of the equal sign.
a. 10 ÷ 5 = ?
First we will solve the given equation
so, 10 ÷ 5 = 2
In simple way we can write the multiplication equation of above equation in two ways :
First we can write it as 2 × 5 = 10
And second is as 5 × 2 = 10
These two don't have different conclusion but they have just different written pattern.
Same as we will do the other equations.
b. 4.5 ÷ 3 = ?
Let's solve the equation first
4.5 ÷ 3 = 1.5
Multiplication equation :
3 × 1.5 = 4.5
1.5 × 3 = 4.5
c. 1/2 + 4 = ?
Solution of the above equation is :
1/2 + 4 = 9/2 = 4.5
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alexander and sophia are selling books alexander has sold 3/8 of the 48 books that he started with sophia has sold 5/7 of the 38 books the she started with
Based on the fraction of their books that they have sold, the number of books that Alexander is left with is 30 books and the number of books that Sophia is left with is 11 books.
How many books are left?Alexander has sold 3/8 of the 48 books and so to find the number of books left, the formula is:
= 48 - (3/8 x 48 books)
= 48 - 18
= 30 books
The number of books that Sophia is left with is:
= 38 - (5/7 x 38)
= 38 - 27
= 11 books
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3
4
14. Vincent found a recipe for banana
macadamia nut bread that uses cup
of macadamia nuts. If he wants to make
only half of the recipe, how many cups of
macadamia nuts should Vincent use?s was
We'll use 3/8 cup of macadamia nuts.
Describe ratios.
A ratio is defined as a/b where b is not equal to 0. Since a and b are separate portions of the two values, the total combined amount is expressed as (a + b).
Given:
3/4 cup of macadamia nuts are used in a banana macadamia nut bread recipe that Vincent created. We are aware of this based on the information provided.
The quantity of nuts needed if he decides to make only half the recipe is:
used macadamia nuts = 1/2 * 3/4
used macadamia nuts =3/8
Therefore, there will be 3/8cup of Macadamia nuts utilized.
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The correct question is given below
"Vincent found a recipe for banana macadamia nut bread that uses 3/4 cup of macadamia nuts. If he only wants to make half the recipe, how many cups of macadamia nuts should be use?"
Which expression represents 7 times the sum of a number and 8?
7n+8
7(n+8)
8(n+7)
n + 56
Answer:
7(n+8)
Step-by-step explanation:
It says 7 times the SUM of a number, n, and 8. According to the order of operations or PEMDAS, you would find the sum first, which would be in parenthesis, and then multiply by the 7.
Hope this helps! :)
How do I change
[tex]y=\frac{-5x}{4} +\frac{5}{4}[/tex]
to
[tex]0=5x+4y-20[/tex]
The form of the linear equation y = -5x/4 + 5/4 is 0 = 5x + 4y - 5
How to change the form of the linear equation?The linear equation is given as
y = -5x/4 + 5/4
Multiply through the equation by 4
So, we have
4 * y = -5x/4 * 4 + 5/4 * 4
Evaluate the product in the above equation
So, we have
4y = -5x + 5
Collect the like terms in the above equation
So, we have
5x + 4y - 5 = 0
Rewrite as
0 = 5x + 4y - 5
Hence, the form of the linear equation y = -5x/4 + 5/4 is 0 = 5x + 4y - 5
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Can someone please help i don’t understand at all :/
Using the Segment Addition Postulate, considering the congruent segments and the trisection, the missing lengths of the segments are given by the following items:
CH = 4.HI = 4.ID = 4.CB = 12.AC = 6.AE = 12.A to F = 4.GE = 4.FB = 8.DG = 8.What is the segment addition postulate?The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.
For this problem, two other concepts are important, given by the bullet points below:
Congruence: Congruent segments have the same length.Trisection: A trisection of a segment divides the segment into three segments of equal lengths.CD = 12, hence, considering the trisection: (12/3) = 4.
CH = 4.HI = 4.ID = 4.CD is also congruent to CB, hence:
CB = 12.
CE = 6, and AE = 2CE, hence:
AC = 6.AE = 12.Due to the postulate, since DG = 8 and GE = 12, and the entire lengths are of 12, and considering the congruence:
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Zack is planting a garden
that is in the shape of a triangle. The
base of the triangle is 12 feet and the
height is 11 feet. What is the area of
the garden?