No, 3x2 is not an exponential function. An exponential function is a function in which the variable (x) is in the exponent.
The general form of an exponential function is f(x) = a^x, where a is the base and x is the exponent.
In the case of 3x2, the variable (x) is not in the exponent, it's being multiplied by the coefficient 3. This is a linear function, not an exponential function. The general form of a linear function is f(x) = mx+c, where m is the coefficient and c is the y-intercept.
In summary, 3x2 is not an exponential function. An exponential function is a function in which the variable (x) is in the exponent. The general form of an exponential function is f(x) = a^x, where a is the base and x is the exponent. In the case of 3x2, the variable x is not in the exponent, it's being multiplied by the coefficient 3. This is a linear function, not an exponential function.
Learn more about Exponential Functions here:
https://brainly.com/question/2456547
#SPJ4
Segment AB has point A located at (4, 2). If the distance from A to B is 3 units, which of the following could be used to calculate the coordinates for point B? (5 points) 3 = square root of the quantity of x minus 2 all squared plus y minus 4 all squared 3 = square root of the quantity of x minus 4 all squared plus y minus 2 all squared 3 = square root of the quantity of x plus 2 all squared plus y plus 4 all squared 3 = square root of the quantity of x plus 4 all squared plus y plus 2 all squared
Applying the distance formula, to calculate the coordinates of B, use: 3 =√[(x-4)² + (y-2)²]
What is the Distance Formula?The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.
We are given one point A(4, 2), let:
B (x, y) = (x2, y2)
A(4, 2) = (x1, y1)
d = 3 units
Plug in the values into the distance formula to find how to calculate the coordinates of B:
3 =√[(x-4)² + (y-2)²]
Learn more about the distance formula on:
https://brainly.com/question/661229
#SPJ1
PLEASE HELP ONLY CORRECT ANSWERS ONLY
Answer:
50000
Step-by-step explanation:
Using
[tex]P(percentage) \times CP(cost \: price) = Sales \: Tax[/tex]
Putting the given values
P × 25000 = 1750
[tex]P = \frac{1750}{25000} [/tex]
[tex]P = 0.07 \times 100[/tex]
[tex]P = 7\%[/tex]
Now
For purchase price of a new car.
[tex]P \times CP=Sales \: Tax[/tex]
[tex]7 \times CP = 3500[/tex]
[tex]CP = 50000[/tex]
Hope it helps you, any confusions you may ask!
Kira exercises no less than 40 minutes per day. Use t to represent Kira's amount of exercise (in minutes per day).
Kira's time exercising every day can be represented as t ≥ 40 because she exercises for 40 minutes or more.
How can this situation be represented?This situation can be represented with an inequality. An inequality is an expression that is used to represent variables. This type of expression uses symbols such as >, < or ≥ to represent different variable values.
What inequality is represented in this situation?The expression is: t ≥ 40The inequality represented in this situation implies that Kira exercises is equal or more time than 40 minutes every day.
Learn more about time in: brainly.com/question/26941752
#SPJ1
Determine whether (3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2
Yes, (3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2
In mathematics, the theory of linear systems is the foundation and core part of linear algebra, a subject that is used in most parts of modern mathematics. When the number of equations is the same as the number of variables, there is likely to be a solution. Not guaranteed, but likely.
If there is no solution, the equations are called "inconsistent".
One or infinitely many solutions are called "consistent"
In mathematics, a system of linear equations is a set of one or more linear equations involving the same variables
We need to find whether (3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2 or not
Let y = 2x - 8.......(1)
From equation (1) we get, y - 2x = -8.....(2)
2x + 4y = -2.........(3)
Put (3,-2) in equation (2) , we get
-2 - 2(3) = -2 -6 = -8
LHS = RHS
Put (3,-2) in equation (3) , we get
2(3) + 4(-2) = 6 - 8 = -2
LHS = RHS
Hence,(3, -2) is a solution for the linear system y = 2x - 8 and 2x + 4y = -2
Learn more about linear system here:
https://brainly.com/question/28052760
#SPJ4
PLEASE HELP IM REALLY STUCK
Answer:
5/2
Step-by-step explanation:
Answer:
1 3/4 or 1.75
Step-by-step explanation:
Formula: y1-y2/x1-x2
Plug in the given coordinates: y1 = -3, y2 = 4, x1 = 2, x2 = 6
-3-4/2-6 = -7/-4 = 7/4 = 1 3/4 or 1.75
I can find the 3 third side of the triangle
Answer:
15
Step-by-step explanation:
First side is 20
Second side is 20 * (3/2), as it is 1 and 1 half times longer than the first
Second side is 30(as calculated above)
65-20-30 = 15
The spinner is equally likely to land on any of the five sections. a spinner contains 5 equals sections labeled 1, 2, 3, 4, 5. sections 2, 1, 5, 4 are shaded. what is the probability that the spinner lands on an even number or on the unshaded section?
Answer:
3/5
Step-by-step explanation:
the chance of landing on an even number (2 or 4) is 2/5
the chance of landing on the unshaded section (3) is 1/5
add the 2 together since the problem said "or" to get 3/5
Approximately ___% of a district’s students that are eligible for free and reduced meals are homeless at any given time.
Percentages are used to show the fraction of a thing. For example, if 5 students out of 20 like math, the percentage is 5/20 x 100= 25%
What is a Percentage?This refers to the number of ratios that is described as a fraction of 100 and is denoted by the sign %.
Hence, we can see that although your question is incomplete, I gave you a general overview of percentages for a better understanding of the concept.
Read more about percentages here:
https://brainly.com/question/16865197
#SPJ1
The numbers in this chart represent the weights in kilograms of five members of a middle school boys’ baseball team.
Whose record represents an outlier in this data set?
A. Jim’s
B. Tom’s
C. Ben’s
D. John’s
The record that represents an outlier in this data set is John's weight.
What is an outlier?An outlier is a data point that differs significantly from other observations.
In other words, an outlier is a value or point that differs substantially from the rest of the data.
Therefore, the record that represents an outlier in this data set is John's weight. This is because it is on the
learn more on outliers here: https://brainly.com/question/12978982
#SPJ1
Question 13 (2 points)
Is there a value of a such that f(x) = 9x² +4 and g(x) = (3x-a)² are equivalent?
Explain. (show your work).
Answer:
Step-by-step explanation:jneke
There is no such value of 'a' such that f(x) = 9x² + 4 and g(x) = (3x - a)² are equivalent.
What are equivalent polynomials?Two polynomials are said to be equivalent only when the coefficients of all powers of x are equal for both the polynomials.
How to solve the question?In the question, we are asked is there a value of 'a' such that f(x) = 9x² + 4 and g(x) = (3x - a)² are equivalent.
We know that two polynomials are said to be equivalent only when the coefficients of all powers of x are equal for both the polynomials.
Thus to check, we expand g(x), using the formula (p - q)² = p² + q² - 2pq.
g(x) = (3x - a)²,
or, g(x) = (3x)² + (a)² - 2(3x)(a),
or, g(x) = 9x² + a² - 6ax.
For f(x) = 9x² - 4, and g(x) = (3x - a)² to be equivalent,
-6ax should be 0, that is, a should be 0,a² should be 4, that is, a needs to be 2, or -2.As we need two different values of, 'a' at the same time, which ain't possible, thus we can say that there is no such value of 'a' such that f(x) = 9x² + 4 and g(x) = (3x - a)² are equivalent.
Learn more about equivalent polynomials at
https://brainly.com/question/10191748
#SPJ2
Select the correct expressions.
A ladder that is 25 feet long is leaning against a pillar. The vertical height from the base of the pillar to the top of the ladder is 24 feet. Which
expressions represent the angle, 8, that the bottom of the ladder makes with the ground?
(answer options shown below)
Answer:
sin-1 (24/25).
Step-by-step explanation:
We are given the opposite side to the given angle (24 ft) and the hypotenuse (25 ft) .
sin = opposite / hypotenuse
- so it is sin-1 (24/25).
The same eight people sit in a certain church pew every week, but not always in the same order. Every week, each person hugs the people immediately to his or her left and right. How many weeks does it take (at a minimum) for every pair of people to hug at least once
It takes 4 weeks at minimum for each pair to hug at least once if they sit in random order.
Analyzing the Given Information
As per the given information,
Number of people = 8
It is given that they sit in random order every week.
W e assume that the order is not repeated.
There are 4 pairs and since a person hugs both the persons on his immediate left and right.
Determining the Number of Weeks
Total number of people to be hugged by each person = 7
Number of people hugged by a person in one week = 2
So, number of weeks taken by each to huge every other person = 7/2
⇒ It will take (3 +1) for every pair to hug.
It takes 4 weeks at a minimum for every pair to hug if we assume that their order is not repeated.
Learn more about order here:
https://brainly.com/question/10952560
#SPJ4
You have 4 one-dollar bills and 4 five-dollar bills in your piggy bank. You select two bills at random, with replacement. What is the probability you will have selected 2 five-dollar bills? Simplify your answer.
The probability that one would have selected 2 five-dollar bills is; 1/4.
What is the probability you will have selected 2 five-dollar bills?It follows from the task content that the piggy bank contains; 4 one-dollar bills and 4 five-dollar bills to make a total of 8 bills.
Hence, provided the probability events are carried out with replacement, the probability to have selected 2 five-dollar bills is;
= 4/8 × 4/8
= 1/4.
Read more on probability;
https://brainly.com/question/24756209
#SPJ1
Answer:
1/4
Step-by-step explanation:
8
45°
Find the value of x.
A. 4
B. 8√√2
2
X
C. 4√2
D. 8√√2
45°
Hello,
Pythagorean theorem :
x² = 8² + 8²
x² = 64 + 64
x² = 128
x = √128
x = √(64 × 2)
x = √(8² × 2)
x = 8√2
→ Answer D
In a survey, more college students indicated that they would enroll in a particular course when they were told that 70 percent of students passed it last year than when they were told that 30 percent of students failed it last year. The results of the survey best illustrate
The results of the survey best illustrate the framing effect.
What is the framing effect?People make choices based on whether possibilities are given with positive or negative connotations, such as as a gain or a loss, according to a cognitive bias known as the framing effect.
When provided with a positive frame, people tend to avoid danger, but when offered with a negative frame, they tend to seek out hazards.
The scenario of framing effect defines gain and loss as descriptions of results.
The idea aids in the development of framing effect understanding in social movements as well as in the creation of political opinion, where spin plays a significant role in political opinion polls that are framed to encourage a response advantageous to the group that commissioned the poll. It has been asserted that the framing effect is invalidating political polls.
Learn more about framing effect here:
https://brainly.com/question/2444365
#SPJ4
Which measure represents the standard deviation of the sample means and is used in place of the population standard deviation when
the population parameters are unknown?
The measure represents the standard deviation of the sample means and is used in place of the population standard deviation when the population parameters are unknown is; t-test.
Which measure is used when the population parameters are unknown?A hypothesis test for a population mean when In the case that the population standard deviation, σ, is unknown, carrying out a hypothesis test for the population mean is done in similarly like the population standard deviation is known. A major distinctive property is that unlike the standard normal distribution, the t-test is invoked.
Read more on t-test;
https://brainly.com/question/6501190
#SPJ1
Answer:
standard error of the mean
Step-by-step explanation:
Plato/Edmentum
Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Because we have a vertical asymptote at x = 0 and a horizontal asymptote at y = -1, we conclude that the correct option is the last one.
Which graph represents the given function?
Here we have the function:
[tex]f(x) = \frac{1}{x} - 1[/tex]
First notice that we have a vertical asymptote at x = 0, because we can't divide by zero.
Now, notice that when x tends to infinity or negative infinity, the first term becomes zero, then we have a horizontal asymptote at y = -1.
Then the correct option is the last one:
"On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1."
If you want to learn more about asymptotes:
https://brainly.com/question/1851758
#SPJ1
Answer:
Last option
Step-by-step explanation:
Petra opens her mail one day to find that an anonymous donor has given her $3000 cash. (woohoo!) she sets aside $1000 to refurnish her apartment, and decides to invest the other $2000. unfortunately, the value of the stock swhe invested in started going down almost as soon as she invested her money. if the stock decreases at a rate of 15% per year for eight years, how much is the stock worth when she sells it eight years later?
The stock worth when she sells it eight years later $545, If the stock decreases at a rate of 15% per year for eight years.
According to the question,
Petra opens her mail one day to find that an anonymous donor has given her $3000 cash. She sets aside $1000 to refurnish her apartment, and decides to invest the other $2000.
If the stock decreases at a rate of 15% per year for eight years. In order to find the stock worth when she sells it eight years later we have the formula
Value of stock after 'n' years = Principal[1-Rate/100]ⁿ
Value of stock after '8' years = 2000[1-15/100]⁸
= 2000[1-0.15]⁸
=2000[0.85]⁸
=2000[0.2725]
=545$
Hence, the stock worth when she sells it eight years later $545, If the stock decreases at a rate of 15% per year for eight years.
Learn more about stock decreases here
https://brainly.com/question/13939400
#SPJ4
Which is the equation of a trend line that passes through the points (7, 450) and (14, 401)? y = negative 7 x + 499 y = -1/7x + 451 y = 1/7x +449 y=7x+401
The equation of a trend line that passes through the points (7, 450) and (14, 401) is y = -7x+99.
What is an equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
Points are: (7, 450) and (14, 401)
Slope(m)=(401-450)/(14-7)
= -49/7
= -7
Equation of trend line:
(y-450)= -7(x-7)
y-450= -7x+49
y= -7x+49+450
y= -7x+499
Learn more about equations here:
https://brainly.com/question/2972832
#SPJ4
Select the correct answer from the drop-down menu.
Consider the equation and the graph.
2/x+4 = 3² + 1
Answer:
x=1/3
Step-by-step explanation:
(2/x)+4=3^3+1
(2/x)+4=10
(2/x)=6
2=6x
1/3=x
x=1/3
There is also a possibility that you meant to write 2/(x+4)=3^2+1
2/(x+4)=3^2+1
2/(x+4)=10
2=10x+40
-38=10x
x=-3.8
Answer: -35/16
Step-by-step explanation:
i just took the test:)
If you gain 7 dollars every 65 second how long will it take to get 50000 dollars
Answer:
5 days
(the exact number of days below)
Step-by-step explanation:
65/7=9.28571429
9.28571429 sec = 1 dollar
464285.715 seconds=50000 dollars
464285.715 seconds=5.373677256944 days
PRE-FINAL REVIEW
LINDA WAS SELLING TICKETS TO THE HOMECOMING GAME
SHE SOLD 15 MORE STUDENT TICKETS THAN FACULTY TICKETS
AND SHE SOLD TWICE AS MANY ALUMI TICKETS AS FACULTY TICKETS.
LET S REPRESENT THE NUMBER OF STUDENT TICKETS
F-FACULTY TICKETS
A-ALUMNI TICKETS
A. WRITE AN EXPRESSION TO REPRESENT THE NUMBER OF STUDENT TICKETS SOLD
BALUMIE TICKETS
SOLD
STUDENT TICKETS COST $5, FACULTY TICKETS COST $2
AND ALUMNI TICKETS COST $10. LINDA MADE $2170.
CWRITE AN EQUATION TO REPRESENT THE TOTAL TICKET SALES.
The equation that can be used to represent total tickets sales is 2170 = 5s + 2f + 10a
Equationlet
Number of students tickets = sNumber of faculty tickets = fNumber of alumni tickets = aExpression for number of students tickets sold;
s = f + 15
Expression for number of faculty tickets sold;
f = 2a
Expression for number of alumni tickets sold;
f = 2a
a = f/2
Cost of students tickets = $5Cost of faculty tickets = $2Cost of Alumni tickets= $10Total revenue = $21702170 = 5s + 2f + 10a
Learn more about equation:
https://brainly.com/question/4344214
#SPJ1
A boat with some water at its bottom was found leaking again. Assume that water goes into the boat at a constant rate. 3 hours are needed to get all the water out of the boat when 10 people work together. It takes 8 hours to get all the water out if 5 people work together. How many people are needed to get all the water out in 2 hours
The Number of people is 12 when time taken is 2 hours.
According to the statement
Time taken when 10 people works is 3 hours
Time taken when 5 people works is 8 hours
Then we have to find the number of peoples when time taken is 2 hours.
So, average time that for which single person works is 180 min/ 10 = 18 min.
It means the average time for single person works is 18 min in case of 10 people.
and one thing is clear that the number of people is greater than 10 people when time taken is 2 hours.
So, The Number of people is 12 when time taken is 2 hours.
Learn more about AVERAGE here https://brainly.com/question/8728504
#SPJ4
Which rule describes the composition of transformations that maps δbcd to δb"c"d"? translation of 5 units x, negative 6 units y composition reflection across y = negative x reflection across y = negative x composition translation of 5 units x, negative 6 units y. translation of 6 units x, negative 5 units y composition reflection across the y-axis reflection across the y-axis composition translation of 6 units x, negative 5 units y
The rule which describe the composition of transformations that
maps ΔBCD to ΔB"C"D" is:
Reflection across the y-axis composition translation of 6 units x,
negative 5 units y ⇒ last answer
Step-by-step explanation:
Let us revise the reflection across the y-axis , horizontal translation
and vertical translation
1. If point (x , y) is reflected across the y-axis, then its image is (-x , y)
2. If point (x , y) is translated h units to the right, then its image is
(x + h , y), if translated h units to the left, then its image is (x - h , y)
3. If point (x , y) is translated k units up, then its image is (x , y + k),
if translated k units down, then its image is (x , y - k)
∵ The vertices of triangle BCD are (1 , 4) , (1 , 2) , (5 , 3)
∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)
∵ The x-coordinates of the vertices of Δ B'C'D' have the same
magnitude of x-coordinates of Δ BCD and opposite signs
∴ Δ B'C'D' is the image of Δ ABC after reflection across the y-axis
∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)
∵ The vertices of triangle B''C''D'' are (5 , -1) , (5 , -3) , (1 , -2)
∵ The image of -1 is 5 and the image of -5 is 1
∴ The x-coordinates of the vertices of triangle B'C'D' are added by 6
∵ The image of 4 is -1 , image of 2 is -3 and the image of 3 is -2
∴ The y-coordinates of the vertices of triangle B'C'D' are subtracted
by 5
∴ Δ B"C"D" is the image of Δ B'C'D' by translate 6 units to the right
and 5 units down ⇒ (x + 6 , y - 5)
The rule which describe the composition of transformations that
maps ΔBCD to ΔB"C"D" is:
Reflection across the y-axis composition translation of 6 units x,
negative 5 units y
Learn more about reflection here brainly.com/question/11203617
#SPJ1
The composition of transformations that maps BCD to B"C"D" is described by the following rule:
Composition translation of 6 units x, negative 5 units y across the y-axis last response
Let us rewrite the y-axis reflection, horizontal translation, and vertical translation.
1. If point (x, y) is mirrored across the y-axis, the image of that point is (-x , y)
2. If point (x, y) is translated h units to the right, its image is (x + h, y), and if it is translated h units to the left, its image is (x + h, y) (x - h , y)
3. If point (x, y) is translated k units up, its image is (x, y + k), but if it is translated k units down, its image is (x , y - k)
∵ Triangle BCD has (1, 4) vertices, (1, 2) vertices, and (5, 3) vertices. Triangle B'C'D' has (-1, 4) vertices, (1, 2) vertices, and (5, 3) vertices. The x-coordinates of the B'C'D' vertices have the same magnitude as the x-coordinates of BCD and opposite signs. B'C'D' is the picture of ABC after it has been reflected across the y-axis.
The vertices of triangle B'C'D' are (-1, 4), (-1, 2), (-5, 3), (1, -2)
The vertices of triangle B"C"D" are (5, -1), (5, -3), (1, -2)
The x-coordinates of the triangle B'C'D' vertices are added by 6.
The image of 4 is -1, the image of 2 is -3, and the image of 3 is -2.
The y-coordinates of triangle B'C'D' vertices are subtracted by 5.
∴ Δ B"C"D" is the image of Δ B'C'D' by translating 6 units to the right
and 5 units down ⇒ (x + 6 , y - 5)
The rule which describe the composition of transformations that
maps ΔBCD to ΔB"C"D" is:
Reflection across the y-axis composition translation of 6 units x,
negative 5 units y
Learn more about reflection here:
brainly.com/question/11203617
#SPJ1
Jerold's weekly pay rate is $865. He receives a 25% pay raise. How can Jerold calculate |
weekly pay rate? Select all that apply.
A
divide $865 by 0.25
B
divide $865 by 1.25
C
multiply $865 by 0.25
D
multiply $865 by 1.25
E
Solve for X:
X
125
865
100
F
Solve for x:
865
25
100
pls help me out lol
Answer:
Step-by-step explanation:
I'm not entirely sure that this is correct, but it seems so to me from what I've read.
The Coordinate system uses N,S,E,W to denote plus and minus. N (north) and E (east) are plus, and S (south) and W (west) are minus. North is + y and S is - y. E (east is plus x W is minus x)
(4,-7) = 4 east 7 south is what I would use as my answer.
A video game randomly chooses your car color and type. The probability
getting a red car is 0.20, and the probability of getting a convertible is
Event A = You get a red car.
Event B= You get a convertible.
A and B are independent events if
A and B are independent events if the probability of getting a red convertible is 0.08
How to determine the probability?The given parameters are:
P(A) = 0.20
P(B) = 0.40
The events are independent, if
P(A and B) = P(A) * P(B)
So, we have:
P(A and B) = 0.20 * 0.40
Evaluate
P(A and B) = 0.08
Hence, A and B are independent events if the probability of getting a red convertible is 0.08
Read more about probability at:
https://brainly.com/question/11354093
#SPJ1
Complete question
A video game randomly chooses your car color and type. The probability of getting a red car is 0.20, and the probability of getting a convertible is 0.40.
Event A = You get a red car.
Event B = You get a convertible.
A and B are independent events if _____.
A.The probability of getting a red car or a convertible is 0.60.
B.The probability of getting a red car or a convertible is 0.08.
C.The probability of getting a red convertible is 0
D.The probability of getting a red convertible is 0.08
Need help anyone please
Whenever two or more lines intersect at a point, an angle is usually produced. And some of these angles formed may have common properties, and thus be congruent.
The appropriate reasons for the given statements in the question are given below:
STATEMENT REASON
1. <1 ≅ <2 Vertical Angle theorem
2. <1 and <2 are complementary
<2 and <3 are complementary Congruent Complements Theorem
3. <1 and <2 are supplementary
<2 and <3 are supplementary Congruent Supplements
4. <1 and <2 are right angles All Right Angles are Congruent
5. <1 ≅ <2,
<1 and <2 are supplementary If two angles are congruent and
supplementary, then each angle is
a right angle.
For more clarifications on the properties of complementary and supplementary angles, visit: https://brainly.com/question/14941189
#SPJ1
2 Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to Mr.Royal, tysm for the help!
#6
Yes
Direct variation because Time increases cupcakes increases and vice versa
#B
Constant of proportionality represents the amount of time required per cupcakes
#7
Yes we can find it
We have to check the x and y values of the ordered pairs (x,y)
If y is decreasing with respect to increase in x then it's inverse variation
The standard deviation of win percentage for the 32 teams in the NBA in 2005 - 2006 was 0.134. The NBA plays an 82 game season. The standard deviation of win percentage for the 20 teams in the English Premier League in 2005 - 2006 was 0.158. The EPL plays a 38 game season., which league exhibits more competitive balance
The NBA league exhibits more competitive balance.
The chance that each team in a league has of winning the title is referred to as competitive balance. The championship would be won by each team on a regular basis in an ideal competitive environment. In contrast, if there was no balance between the two types of competition, the same team would consistently prevail.
Competitive balance is often regarded as a desirable trait because too much predictability makes fans of the lesser franchises angry and fans of the defending champions complacent, which lowers interest in the sport as a whole.
The "Noll-Scully" measure is the competitive balancing metric that is most frequently used in sports. The winning percentage of each league team's standard deviation (SD) is used to compute it. The SD is then divided by what it would be if all teams had equal talent and the outcomes were entirely random.
For NBA team, competitive balance = 0.134/32*82 = 0.343
For EPL team, competitive balance = 0.158/20*38 = 0.30
Learn more about competitive balance here:
https://brainly.com/question/24696035
#SPJ1