Answer: 6.4008
Step-by-step explanation:You can use the Calculator EX clap.
15) Allie Young has to get a new car because someone hit and destroyed her old one. She feels she can afford to
pay $90 each month, and the best loan terms she has found offer her an 8.33 percent interest rate on a 4-year
loan. What is the maximum value of the car Allie should be looking for? Give answer to nearest hundred dollars.
a.) $3900
b.) $3800
c.) $3600
d.) $3700
Answer:I beleive the answer is c-3600
Step-by-step explanation:
90$ a month for 48 months=4320
Plus the interest rate of 8.33 so 4320x0.833=3598.56
Then you have to round up from 3598.56 to the nearest 100 dollars, so it would be 3600.
which of thr following options is an equivalent function too f(x)=2(5)2x
Although part of your question is missing, you might be referring to this full question: Which of the following options is an equivalent function to f(x) = 2(5)^2x? choices:
f(x) = 50^x
f(x) = 100^x
f(x) = 2(25)^x
f(x) = 4(25)^x
The equivalent function too expression is f(x)= 2(25)ˣ. Thus option c is correct.
The expression of function f(x) given, f(x)=2(5)²ˣ.
Functions are said to be equal if they have same domain or codomain such that f(x) = g(x). Thus, the two functions are equal functions.
∴ The function after solving expression is,
f(x)= 2×(5²)ˣ
f(x)= 2×(25)ˣ
Hence, the correct equivalent function is f(x)= 2(25)ˣ.
Learn more about numerical here https://brainly.com/question/2193320
Step 1: For each circle (A-G) in the table below, use the given information to determine the missing
information. Include supporting work showing and explaining how you found the missing information.
Circle
Center
Radius
Equation
A
(x - 9)2 + (y - 12)2 = 64
B
(-1,-17)
5
С
(-9,13)
9n
D
x2 + (0 - 1)2 = 36
E
x2 + y2 – 26x = -160
F
*2 + y2 + 22x +12y = -93
G
x2 + y2 – 10x+12y = -52
Answer:
I don't really understand the question
Step-by-step explanation:
c
To win a math game, Lamar has to pick a card with an
expression that has a value greater than 1. The card Lamar chooses
reads (1/2) to the -4 power. Does Lamar win the game? Explain.
:)
Answer:
YES,
AS ,
1/2^-4
=2^4=16.
16>1
HOPE IT HELPS
the 3 in 43.54 is how much larger than the 3 in 56.37?
Answer:
10 times larger
Step-by-step explanation:
I used my brain plus I learned it in 5th grade
James invests a total of $11,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 10% loss in the same time period. At the end of one year, the total amount of money gained was $1,100.00. How much was invested into each account?
Which one shows the correct model?
Answer:
top left is it because it is 5/12
Answer:
the first one
Step-by-step explanation:
(top left)
Determine the validity of each the following arguments. If the argument is one of those listed in the text, name it.
a. She uses e-commerce or she pays by credit card.
b. She does not pay by credit card.
c. She uses e-commerce
Answer:
Step-by-step explanation:
We will design a truth table to determine the validity of the provided arguments.
As a result, we have the following presumption:
Assume "p" stands for "she shops online(e-commerce)" and "q" stands for "she pays with a credit card."Also, she utilizes e-commerce or pays with a credit card, resulting in "p Vs q".She doesn't pay with a credit card, therefore -commerce becomes "™q → p".Now;
p q ™q p Vs q ™q →p
T T F T T
T F T T T
F T F T T
F F T F F
Conclusion:
The given arguments are valid.
Find X,so that 7x+1,5x+7,and 2x-1 form an arithmetic sequence and write the first three terms.
The first three terms of the arithmetic sequence are -97, -63, and -29.
The value of x = -14.
How to Find the Terms in an Arithmetic Sequence?To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:
The common difference (d) is the same between all consecutive terms.
So, we have:
(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)
Simplifying the equation:
5x + 7 - 7x - 1 = 2x - 1 - 5x - 7
-2x + 6 = -3x - 8
Now, let's solve for X:
-2x + 3x = -8 - 6
x = -14
Substituting the value of X back into the expressions, we can find the first three terms:
First term: 7x + 1 = 7(-14) + 1 = -97
Second term: 5x + 7 = 5(-14) + 7 = -63
Third term: 2x - 1 = 2(-14) - 1 = -29
Learn more about Arithmetic Sequence on:
https://brainly.com/question/6561461
#SPJ1
A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of a randomly chosen student. Find the mean score and interpret the result. Round the answers to two decimal places as needed. 5 6 7 8 9 10 P(x) 0.06 0.18 0.37 0.22 0.11 0.06 Send data to Excel The mean is If we were to give this quiz to more and more students, the mean score for these students would approach :
The mean score is 6.48. If we were to give this quiz to more and more students, the mean score for these students would approach 6.48.
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
To find the mean score, we need to calculate the expected value of the score. The expected value is calculated by multiplying the score by its probability and summing over all possible scores.
The expected value is:
(5 * 0.06) + (6 * 0.18) + (7 * 0.37) + (8 * 0.22) + (9 * 0.11) + (10 * 0.06) = 6.48
Learn more about probability, here brainly.com/question/29582649
#SPJ4
where is ( -3 1/2, -1 1/4 ) on the coordinate plane?
The point (\(-3\frac{1}{2}\), \(-1\frac{1}{4}\) ) on the coordinate plane is shown in the figure .
The Coordinate plane can be defined as a 2 D plane formed by the intersection of two line ,
where the horizontal line is called x axis and
the vertical line is called y axis .
In the question ,
the point is given
the point is (\(-3\frac{1}{2}\) , \(-1\frac{1}{4}\) )
writing the mixed fraction in decimal form , we get
x coordinate = \(-3\frac{1}{2}\) ⇒ -(3*2+1)/2 = -7/2 = -3.5
y coordinate = \(-1\frac{1}{4}\) ⇒ -(1*4+1)/4 = -5/4 = -1.25
So, the point to be plotted on the coordinate plane becomes (-3.5,-1.25)
the points plotted are shown in the figure below .
Therefore , the point ( \(-3\frac{1}{2}\), \(-1\frac{1}{4}\) ) on the coordinate plane is shown in the figure .
The given question is incomplete , the complete question is
Where is (\(-3\frac{1}{2}\) , \(-1\frac{1}{4}\) ) on the coordinate plane?
Learn more about Coordinate Plane here
https://brainly.com/question/9162048
#SPJ1
The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 129 residents whose mean number of pounds of trash generated per person per week was 34.2 pounds and the standard deviation was 8.2 pounds.
a. The sampling distribution follows a ______ distribution.
b. With 95% confidence the population mean number of pounds per person per week is between_____ and_____ pounds.
c. If many groups of 120 randomly selected people in the city are studied, then a different confidence interval would be produced from each group. About_____ percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about________ percent will not contain the true population mean number of pounds of trash generated per person per week.
Solution :
Given :
Sample mean, \($\overline X = 34.2$\)
Sample size, n = 129
Sample standard deviation, s = 8.2
a. Since the population standard deviation is unknown, therefore, we use the t-distribution.
b. Now for 95% confidence level,
α = 0.05, α/2 = 0.025
From the t tables, T.INV.2T(α, degree of freedom), we find the t value as
t =T.INV.2T(0.05, 128) = 2.34
Taking the positive value of t, we get
Confidence interval is ,
\($\overline X \pm t \times \frac{s}{\sqrt n}$\)
\($34.2 \pm 2.34 \times \frac{8.2}{\sqrt {129}}$\)
(32.52, 35.8)
95% confidence interval is (32.52, 35.8)
So with \($95 \%$\) confidence of the population of the mean number of the pounds per person per week is between 32.52 pounds and 35.8 pounds.
c. About \($95 \%$\) of confidence intervals which contains the true population of mean number of the pounds of the trash that is generated per person per week and about \($5 \%$\) that doe not contain the true population of mean number of the pounds of trashes generated by per person per week.
Carter shared his post with 10 friends, who each share with only 2 people each day. Carter shared his post with 10 friends, who each share with only 2 people each day.
write an exponential function to represent the spread of carters social media post.
The exponential function will be equal to y = 20ˣ.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Carter shared his post with 10 friends, who each share with only 2 people each day.
The exponential function will be written as,
y = abˣ
y = 10(2)ˣ
y = 20ˣ
Therefore, the exponential function will be equal to y = 20ˣ.
To know more about an exponential expression follow
https://brainly.com/question/20168834
#SPJ1
Answer:
f(x) = 10(2)^x
Step-by-step explanation:
Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.
Write an equation of the line in slope -intercept form ( due today!)
Answer: The answer would be y=1/3x-3
Suppose you're making a soup that uses 5 cups of chicken broth for 8 servings. You need to make 12 servings of the soup. How much broth do you need?
A) 7.5 cups
B) 2.5 cups
C) 8.7 cups
D) 10 cups
Name:
Frequency
Period:
Chapter 8: Review
Use the data to answer questions 1-8.
8-iron, distance to hole (yards): 20 12 12 8 6 11 7 7 10 12 8 10 11 20
1) Organize the data from least to greatest.
6,7,7,8,8,10,10,11,11,12,12,12,20,20
2) Use the data to create a histogram.
Date:
0 5 10 15 20 25 30
Distance to Hole (yds)
5) What is the median of the data?
6) What is the First Quartile(Q1)?_
7) What is the Third Quartile(Q3)?
8) What is the interquartile range (IQR)?
5 10 15 20 25 30
Distance to Hole (yds)
3) What is the mean (average) of the data? Round your answer to the nearest tenth.
4) Make a box plot of the data.
Can somebody help with the whole thing besides number 1
From the given data mean is 11.86, median is 10.5 and inter quartile range is 5.
The given data is 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 12, 12, 20, 20.
2) Histogram (Plotted below)
3) Mean = (6+7+7+8+8+10+10+11+11+12+12+12+12+20+20)/14
= 166/14
= 11.86
4) Box plot (Plotted below)
5) Median = (10+11)/2
= 21/2
= 10.5
6) Q1 = 7
7) Q3 = 12
8) IQR=Q3-Q1
= 12-7
= 5
Therefore, from the given data mean is 11.86, median is 10.5 and inter quartile range is 5.
Learn more about the interquartile range here:
https://brainly.com/question/4135956.
#SPJ1
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 30 meters of fencing available, determine the dimensions that would create the garden of maximum area. What is the maximum possible area?
The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters
What is measurement?
Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.
Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.
Since we have 30 meters of fencing available, the total length of wire fencing used is:
L + 2W = 30 - W
Simplifying this equation, we get:
L = 30 - 3W
The area of the garden is:
A = LW
Substituting the expression for L from the previous equation, we get:
A = W(30 - 3W)
Expanding the expression, we get:
A = 30W - 3W²
To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:
dA/dW = 30 - 6W = 0
Solving for W, we get:
W = 5
Substituting this value back into the expression for L, we get:
L = 15
Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:
A = 5(15) = 75 square meters
To know more about measurement visit:
brainly.com/question/4804936
#SPJ1
What value(s) of b will cause 27x2 + bx + 3 = 0 to have one real solution? Select all that apply.A. b = −18. B. b = −9. C. b = 9. D. b = 18.
The value of b is 18 that will cause equation 27x² + bx + 3 = 0 to have real solution.
What is a quadratic equation?A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.
The standard form of a quadratic equation is ax² + bx + c = 0.
Where a, b and c are constants.
The given equation is,
27x² + bx + 3 = 0.
Compare the given equation from the standard quadratic equation
ax² + bx + c = 0
Compare both the equations,
a = 27, b = b , c = 3
To find the real solution of the quadratic equation,
Substitute discriminant of the equation equal to zero.
D = 0
b² - 4ac = 0
b² - 4 x 27 x 3 = 0
b² = 4 x 81
b = 2 x 9
b = 18.
The required value of b for the given equation is 18.
To know more about Quadratic equation on:
https://brainly.com/question/17177510
#SPJ1
Find the slope of this problem
Answer:
1/9 rise 1 run 9
Step-by-step explanation:
if you graph the y coordinate as 3 and find the x value, x value should be 0. Point (0,3) and (-9,2) and do rise over run
If sin(x) = cos(y), which of these are possible values of x and y?
A X=and y = 0
B x = 15 and y = 30
C x = 30 and y = 60
D x = 120 and y = 60
Step-by-step explanation:
C
good luck
:) :) :) :) :) :) :)
The value of x and y are respectively, 30°, 60°. So option C is correct.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
There are 6 commonly used functions in trigonometry with their name and abbreviations-
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)
If sin(x) = cos(y), then x and y must satisfy the following relationship:
sin(x) = cos(90 - x)
So, x and 90 - x must both be in the range of 0 to 90 degrees, or x must be in the range of 0 to 45 degrees.
Therefore, the only possible values of x and y that satisfy this relationship are:
x = 30 degrees and y = 60 degrees
Thus, the value of x & y are 30° & 60°
To know more about trigonometry check:
https://brainly.com/question/29002217
#SPJ6
Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?
Answer
Step by step explantion:
bsf= 26
Eliana:98
SS teacher=203
David=55
Step-by-step explanation:
m= music
bsf: m
eliana:4m-6
David:2m+3
SS teacher: 2(4m-6)+7
m+4m-6+2m+3+8m-12+7
382=15m-7
7+ +7
389=15m
/15m /15m
m=26
multiply 26 to each one of them
A landscaping company charges a $12 fee to make a house call plus an hourly rate for labor if the total bill for a job that takes two and a half hours comes to $95.75 write an equation that can be used to solve for the hourly labor rate use R to represent the rate then solve the equation and explain all steps
12 multiplied by 2.5=30=95. 75-30=65.75
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.21 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.
Step 1: State the hypotheses.
- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).
- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).
Step 2: Compute the value of the test statistic.
To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).
The formula for the z-test statistic is:
z = (X- μ) / (σ / √n)
Where:
X is the sample mean (4.21 cm),
μ is the population mean (4.00 cm),
σ is the population standard deviation (0.83 cm), and
n is the sample size (121).
Plugging in the values, we get:
z = (4.21 - 4.00) / (0.83 / √121)
z = 0.21 / (0.83 / 11)
z = 0.21 / 0.0753
z ≈ 2.79 (rounded to two decimal places)
Step 3: Determine the critical value and make a decision.
With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.
For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).
Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.
Conclusion:
Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.
for more such question on mean visit
https://brainly.com/question/1136789
#SPJ8
1. Gavin buys 89 blue pansies and
86 yellow pansies. He will plant the flowers
in 5 rows with an equal number of plants
in each row. Draw a bar model to help you
find how many plants will be in each row,
O
17
Spiral Review
nose nilo que dise perdoooooooon xd
In a population of chickens, the average (arithmetic mean) weight is 6.3 pounds, and the standard deviation is 1.2 pounds. Which of the following weights (in pounds) are within 1.5 units of the standard deviation of the mean?
Indicate all weights.
A. 4.4
B. 4.6
C. 5.1
D. 5.2
E. 6.9
F. 7.6
G. 7.7
H. 8.2
The following weights (in pounds) are within 1.5 units of the standard deviation of the mean:
A. 4.4
B. 4.6
D. 5.2
E. 6.9
F. 7.6
The mean weight of the chickens in this population is 6.3 pounds, and the standard deviation is 1.2 pounds. To be within 1.5 units of the standard deviation, we need to look at the range of weights that are 1.2 +/- 1.5, which is 4.7 to 7.9 pounds.
This means that the weights within this range are 4.4, 4.6, 5.2, 6.9, 7.6, and any other weights that fall within the range. Therefore, the weights within 1.5 units of the standard deviation of the mean are:
A. 4.4, B. 4.6, D. 5.2, E. 6.9, and F. 7.6.
The standard deviation measures the spread of the data from the mean. In this case, the mean is 6.3 pounds and the standard deviation is 1.2 pounds. This means that the data points on either side of the mean will be 1.2 pounds away from it.
To learn more about standard deviation of the mean, use the link:
brainly.com/question/16030790
#SPJ4
7. What is the y-intercept for the equation 5x-2y = -4?
о
(0,-2)
(0,2)
(0, -1/3)
(0,4/5)
Answer:
(0, 2)
Step-by-step explanation:
BONJOUR AIDEZ MOI SIL VOUS PLAIT
The distance from the center of the Earth to the point where the net gravitational force is zero is one-ninth the distance from the Earth to the Moon.
Let's assume that the distance from the center of the Earth to this point is denoted as x.
Given:
Mass of the Moon (M\(_{moon}\)) = 1/81 × M\(_{earth}\)
Distance from Earth to Moon (d\(_{moon}\)) = distance on center
According to the principle of gravitational equilibrium, the gravitational force from the Earth and the gravitational force from the Moon acting on an object at that point must balance out. Mathematically, we can express this as:
F\(_{earth}\) = F\(_{moon}\)
The gravitational force between two objects can be calculated using Newton's law of universal gravitation:
F \(_{gravity}\)= G × (m₁ × m₂) / r²
Where:
G is the gravitational constant (approximately 6.67430 x 10⁻¹¹m²/kg/s²)
m₁ and m₂ are the masses of the two objects
r is the distance between the centers of the two objects
Considering the gravitational forces involved:
F\(_{gravity}\)\(_{earth}\) = G ₓ (M\(_{EARTH}\) ₓ m\(_{OBJECT}\)) / (d\(_{earth}\))²
F\(_{gravity}\) \(_{moon}\) = G ₓ (M \(_{moon}\) ₓ m\(_{object}\)) / (d \(_{moon}\))²
Since we are looking for the point where the net gravitational force is zero, we set these two forces equal to each other:
G × (M\(_{earth}\) × m\(_{object}\)) / (d\(_{earth}\))² = G × (M \(_{moon}\) × m\(_{object}\)) / (d \(_{moon}\))²
Canceling out the common factors of G and m\(_object}\), and substituting the given values:
(M\(_{earth}\) × 1) / (d\(_{earth}\))² = (M \(_{moon}\) × 1) / (d \(_{moon}\))²
Rearranging the equation:
(d\(_{earth}\))²/ (M\(_{earth}\)) = (d \(_{moon}\))² / (M \(_{moon}\))
Taking the square root of both sides:
d\(_{earth}\) / √(M \(_{moon}\))) = d_moon / √(M \(_{moon}\))
Substituting the given values:
d\(_{earth}\) /√(M\(_{earth}\)) = d\(_{moon}\) / √(1/81 × M\(_{earth}\))
Simplifying further:
d\(_{earth}\) / √(M\(_{earth}\)) =d\(_{moon}\) / (1/9 × √(M\(_{earth}\)))
Multiplying both sides by √(M\(_{earth}\)):
d\(_{earth}\) = (1/9) × d\(_{moon}\)
To know more about gravitational force
https://brainly.com/question/27943482
#SPJ4
Some pens are shared among three students anne,lucy, and John.Anne gets 5 times many pens as lucy, and lucy gets 2 pens less than john. Suppose John gets x pens, how many pens does anne get in terms of x
Using a system of equations, it is found that Anne gets 5x - 10 pens.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, we consider that John gets x pens.
Lucy gets 2 pens less than john, hence:
L = x - 2.
Anne gets 5 times many pens as lucy, hence:
A = 5L = 5(x - 2) = 5x - 10.
More can be learned about a system of equations at https://brainly.com/question/24342899
Ambree help me please
Answer:
The mean distance to his friends' house is between 2 -3 blocks.
Step-by-step explanation:
1. Mean = Average.
Average = (n1+n2+n3....nx)/x
2. The average = 1+2+5+3+2+2+5+3/8
3. Therefore, the answer is 2.875, making the mean between 2 and 3
Answer:
The statement that supports the data is the mean distance to his friends' houses is in between 2 and 3 blocks.
Step-by-step explanation:
What is mean, median and mode?
Mean: The average of the given data points.
Median: The central point of the whole data set.
Mode: The number that occurs for the maximum times in the data set.
Given:
Karl records the number of city blocks from his house to each of his friends houses.
Data set for the number of city blocks to eight friends houses:
{1, 2, 5, 3, 2, 2, 5, 3}
The first option: it is given that the maximum number of blocks the Karl lives from his friend is 4, but according to the data set, the maximum number of house blocks should be 5.
Hence, this option is incorrect.
The second option: It is given that the mode shows that Karl has 3 friends who live 3 blocks from him, but according to the given data set Karl has 3 friends who lives 2 blocks from him. Hence the mode is 2.
Hence, this option is incorrect.
The third option: It is given that the minimum distance from Karl's house to a friend's is 2 blocks, but according to the given data set the minimum distance from Karl's house to a friend's is 1 block.
Hence, this option is incorrect.
The fourth option: It is given that the mean distance to his friend's houses is in between 2 and 3 blocks.
We will find the mean for the given data set.
⇒ Mean = (Sum of all the data points) / (Total number of data points)
⇒ Mean = (1 + 2 + 5 + 3 + 2 + 2 + 5 + 3)/8
⇒ Mean = 23/8
⇒ Mean = 2.875
∴ The mean distance from Karl to his friend's houses is 2.875 which is in between 2 and 3.
Hence, this option is correct.
Therefore, the fourth option which says the mean distance between Karl and his friend's houses is in between 2 and 3 is correct.
PLEASE HELP
Ten dancers enter a contest.
Judge X and judge Y each put the ten dancers in rank order, 1-10, where 1 is best.
Use calculations to determine the level of agreement between judge X and judge Y.
The level of agreement between judge X and judge Y is also determine by rank correlation which is 0.8787.
What is rank correlation?A technique for determining the degree of association between two variables is rank correlation. Similar to the Pearson correlation coefficient, the rank correlation coefficient is calculated using the observations' ranks rather than their numerical values. When there is sufficient information to rank the data but the data are not available in numerical form, this method is useful.
See the attached table for the solution at last find:
∑d² = 20
The rank correlation, R = 1- [6∑d² ÷ n(n²-1)]
R = 1- [6×20 ÷ 10(100-1)] = 0.8787
To know more about rank correlation, visit:
https://brainly.com/question/27842223
#SPJ1