The mode is 18.5.
What is mode?
In statistics, there are most repeated value among the given set of data. Those are called mode. Among the given set of data, mode is the value which has the maximum frequency. Sometimes, it may be possible to have more than one value which has the equal maximum frequency.
Formula for mode for grouped data is given by:
Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)]×h.-------------------(1)
Where, l = lower class limit of modal class, h = class size, f₁ = frequency of modal class, f₀ = frequency of class preceding to modal class, f₂ = frequency of class succeeding to modal class.
In the given problem l= 15.5
f₀= 8
f₁= 10
f₂= 8
h= 6
Putting all the values in equation (1) we obtain mode
mode= 15.5 +{(10-8)/(2×10-8-8)} ×6
= 15.5+(2/4)×6
= 15.5+ 3
= 18.5
Hence, the mode is 18.5.
To know more about modes
https://brainly.com/question/27951780 from the link.
#SPJ9
how do u do thissss??
reflect this shape in the line y=x :)
Answer:
the x-coordinate and y-coordinate change places.
Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
you want to obtain a sample to estimate a population mean. based on previous evidence, you believe the population standard deviation is approximately . you would like to be 90% confident that your estimate is within 2.5 of the true population mean. how large of a sample size is required? n
The required sample size of the given estimate is 1090.9809
The population standard deviation is approximately σ = 50.2. You would like to be 90% confident that your estimate is within 1.5 of the true population mean.
What is Statistic?Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
For the 90% confidence the value of the z = 1.645
Now the sample size is given as,
n = [z × σ/2.5]²
Substitute values in the above equation,
n = [1.645×50.2/2.5]²
n = 1090.9809
Thus, the required sample size of the given estimate is 1090.9809.
Learn more about statistic here :-
https://brainly.com/question/29093686
#SPJ4
The relationship between monthly profit P, monthly sales n, and unit price p is P=n(p−U)−F,
where U is the unit cost per sale and F is a fixed cost that does not depend on the number of sales. For an online business advice service, the unit cost is $30 per hour-long session and the monthly fixed cost is $3000.
a. Given a model for monthly sales of n=5000−40p
for a given price p per session, write and simplify a quadratic expression for P in terms of p. Write your simplified expression in standard form.
b. If the unit price, p, is $77.50, what is the monthly profit, P?
a. the simplified expression in standard form is -40p² + 6200p - 153000.
b. the monthly profit is $87250.
What is profit?
The revenue generated from selling a good is referred to as the profit, and it must exceed the cost of the good. In other terms, a gain from any business activity constitutes a profit.
Here, we have
Given: The relationship between monthly profit P, monthly sales n, and unit price p is P = n(p−U)−F. For an online business advice service, the unit cost is $30 per hour-long session and the monthly fixed cost is $3000.
a.
P = n(p−U) − F.....(1)
n = 5000−40p, U = 30, F = $3000
We substitute the all values in equation(1) and we get
P = (5000−40p)(p-30) - 3000
P = 5000p - 150000 - 40p² + 1200p - 3000
P = -40p² + 6200p - 153000
Hence, the simplified expression in standard form is -40p² + 6200p - 153000.
b. When unit price, p, is $77.50.
= -40(77.5)² + 6200(77.5) - 153000
= -240250 + 480500 - 153000
= 87250
Hence, the monthly profit is $87250.
To learn more about the profit from the given link
https://brainly.com/question/1078746
#SPJ1
Here is a bank statement.
=
$
Responsible Bank
210 2nd Street
Anytown, MH 06930
Andre Person
1729 Euclid Ave
Anytown, MH 06930
Date
2017-10-03 Previous Balance
2017-10-05 Check Number 256
2017-10-06 ATM Deposit - Cash
2017-10-10 Wire Transfer
2017-10-17 Point of Sale - Grocery Store
2017-10-25 Funds Transfer from Savings
2017-10-28 Check Number 257
2017-10-29 Online Payment - Phone Services
Description
Checking Account Statement
Page: 1 of 1
Statement Period
2017-10-01 to 2017-11-01
Withdrawals Deposits
28.50
37.91
16.43
42.00
72.50
45.00
50.00
1. If we put withdrawals and deposits in the same column, how can they be represented?
2. Andre withdraws $40 to buy a music player. What is his new balance?
3. If Andre deposits $100 in this account, will he still be in debt? How do you know?
Account No.
1120635978
Balance
39.87
11.37
56.37
18.46
2.03
52.03
10.03
-62.47
The analysis of the bank statement thus, given below. Since the result is negative, this means that Andre would still have a negative balance after depositing $100, and therefore would still be in debt.
What is bank statement analysis?1. If we put withdrawals and deposits in the same column, they can be represented as positive and negative values in a single column. Deposits would be represented with positive values, and withdrawals would be represented with negative values.
2. Andre's new balance would be $16.37. We can calculate this by subtracting $40 (the withdrawal) from his previous balance of $56.37:
$56.37 - $40 = $16.37
3. If Andre deposits $100 in this account, he will no longer be in debt. We can calculate his new balance by adding his previous balance and the deposit, and then subtracting any withdrawals:
$56.37 + $100 = $156.37 (balance after the deposit)
$156.37 - $28.50 - $37.91 - $16.43 - $42.00 - $72.50 - $45.00 - $50.00 - $10.03 - $62.47 = -$49.47
Since the result is negative, this means that Andre would still have a negative balance after depositing $100, and therefore would still be in debt.
Learn more about bank statement at:
https://brainly.com/question/22786262
#SPJ1
Inverse of the function
Answer:
f -1
Step-by-step explanation:
the inverse of a function (f) is denoted by f -1 and exsists only when f is both one to one and onto function.
To conserve water, many communities have developed water restrictions. The water utility charges a fee of $29, plus an additional $1. 41 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household is between $54 and $82 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place. )
A. 54 ≤ 1. 41x + 29 ≤ 82; To stay within the range, the usage should be between 17. 7 and 37. 6 HCF.
B. 54 ≤ 1. 41x + 29 ≤ 82; To stay within the range, the usage should be between 17. 7 and 58. 2 HCF.
C. 54 ≤ 1. 41x − 29 ≤ 82; To stay within the range, the usage should be between 38. 2 and 78. 7 HCF.
D. 54 ≤ 1. 41x − 29 ≤ 82; To stay within the range, the usage should be between 58. 9 and 78. 7 HCF
Determine the recommended range of water consumption17.7 ≤ x ≤ 37.6
A.54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the water usage should be between 17.7 and 37.6 HCF.
Scenario is that the water utility charges a fee of $29, plus an additional $1.41 per hundred cubic feet (HCF) of water, and the recommended monthly bill for a household is between $54 and $82.
Range of water usage in HCF (x) that fits this recommendation.
First, write the compound inequality to represent the scenario:
54 ≤ 1.41x + 29 ≤ 82
Now, to find the recommended range of water consumption, we need to isolate x in both inequalities.
Start with the left inequality:
54 ≤ 1.41x + 29
Subtract 29 from both sides:
25 ≤ 1.41x
Divide both sides by 1.41:
25 / 1.41 ≤ x
x ≥ 17.7 (rounded to one decimal place)
Next, consider the right inequality:
1.41x + 29 ≤ 82
Subtract 29 from both sides:
1.41x ≤ 53
Divide both sides by 1.41:
x ≤ 53 / 1.41
x ≤ 37.6 (rounded to one decimal place)
Combine both inequalities:
For similar questions on Range
https://brainly.com/question/24326172
#SPJ11
1. In Design 2, what is the radius of the larger
grassy area?
Answer: 5 m
Step-by-step explanation:
A radius is half of the diameter which is the black line. Hope this helps!
Answer:
The radius of the larger grass area is 5m
Step-by-step explanation:
d=2r
r=d/2
r=10/2
r=5m
19
Points Scored
74 82 84
122 193
21
53
103
108 116
a. Find the range and interquartile range of the data.
The range is [172 points.
The interquartile range is 42 points.
93
b. Use the interquartile range to identity the outlier(s) in the data set. Find the range and the interquartile range of the data set without
the outier(s).
The outier is 21 points.
The range without the outlier is 140 points
The interquartile range without the outlier is points.
DELL
calculator
check answer
Therefore, the range is 172 points and the interquartile range is 42 points. Therefore, the range without the outlier is 140 points and the interquartile range without the outlier is 40 points.
What is range?In statistics, the range is the difference between the largest and smallest values in a dataset. It is a measure of dispersion that indicates the spread of the data. The range provides a quick and simple way to get an idea of the variability of the data, but it can be affected by outliers and is therefore not always a reliable measure of dispersion. To calculate the range, you simply subtract the smallest value from the largest value in the dataset.
Here,
a. To find the range, we subtract the smallest value from the largest value:
Range = 193 - 21 = 172
To find the interquartile range, we first need to find the first and third quartiles.
Arrange the data in order from smallest to largest:
21, 53, 74, 82, 84, 103, 108, 116, 122, 193
Find the median (middle value) of the lower half of the data (Q1):
Q1 = median(21, 53, 74, 82, 84) = 74
Find the median (middle value) of the upper half of the data (Q3):
Q3 = median(103, 108, 116, 122, 193) = 116
Subtract Q1 from Q3 to get the interquartile range:
IQR = Q3 - Q1 = 116 - 74 = 42
b. To identify the outlier(s), we can use the rule that any value less than Q1 - 1.5 x IQR or greater than Q3 + 1.5 x IQR is considered an outlier.
Q1 - 1.5 x IQR = 74 - 1.5 x 42 = 11
Q3 + 1.5 x IQR = 116 + 1.5 x 42 = 181
The value 21 is less than the lower bound of 11, so it is an outlier.
To find the range and interquartile range without the outlier, we need to remove it from the data set:
74 82 84 122 193 53 103 108 116
The range without the outlier is:
193 - 53 = 140
To find the interquartile range without the outlier, we need to find the first and third quartiles of the new data set:
Q1 = median(53, 74, 82, 84, 108) = 82
Q3 = median(116, 122, 193) = 122
IQR = Q3 - Q1 = 122 - 82 = 40
To know more about range,
https://brainly.com/question/9736136
#SPJ1
PLEASE HELP, WILL MARK BRAINLY!!
3. Twice the difference of a number and three is the sum of that number and four.
4. Three times a number is two times the difference of that number and one.
Answer:
3. 2(x - 3) = x + 4
2x - 6 = x + 4
x = 10
4. 3x = 2(x - 1)
3x = 2x - 2
x = -2
A tree in Abdul's backyard grows 0.9 meters each month.If the tree is 5.76 meters tall,for how many months has the tree been growing?
Answer:
the tree has been growing for about 6 months and 12 days
Step-by-step explanation:
5.76/0.9 = 6.4
Round to the nearest 10th a cylinder is 22 inches and 12.5 inches what is the surface area 
15.97 m 20 42 m 13.68 m 12 25 m Find the surface area of the pyramid. Round to the nearest tenth. Enter a numerical answer only as it is understood your answer is in square meters.
The surface area of the conical grain storage tank is 1,671 m².
What is the surface area?The surface area of a cone is the total area that is covered by the surface of the cone.
Surface area =πr(r+√h²+r²)
the given parameters that will assist us do the question are
π = 3.14
h = height
r = radius = diameter / 2 = 20 / 2 = 10 m
3.14 x 10(10 + √100 + 1764 = 1,671 m²
Therefore, the surface area of the pyramid 1671 m ²
Learn more about the surface area of the pyramid on https://brainly.com/question/16720917
#SPJ1
pls help!!! make sure to show ur workkk!! i need this ASAP.
Answer:
a = 2
b = 4
c = 4.47
Step-by-step explanation:
a is 2 units long
b is 4 units tall
To find c, we can use the formula: a^2 + b^2 = c^2
Plug it in:
(2)^2 + (4)^2 = c^2
4 + 16 = c^2
20 = c^2
c = 4.47
Answer:
length a is 2 length b is 4 length c is 4
Step-by-step explanation:
In how many ways can a committee of two men and one women be formed from a group of ten men and eight women?
Out of a group of ten men & eight women, there are 1320 possible ways to form a committee of two men and one woman.
What is number?Numbers are mathematical units of measurement and labelling. It is a sign or collection of symbols that are used to represent a quantity, usually a real or integer number.
Out of a group of ten men & eight women, there are 1320 possible ways to form a committee of two men and one woman. The idea of combination can be used to arrive to this number.
Calculating the number of possible combinations of a given number of things is done mathematically using the concept of combination. C(n,r) = n! / (r! (n - r)!), where n is the total number of items and r is the number of things to be picked at a time, is the formula used to compute it. In this instance, r is the number of persons to be picked, which is 3, and n is the total number of people to be chosen from the group, which is 18, consisting of 10 males and 8 women.
As a result, there are a total of 10 ways for men and 8 ways for women to form a committee of two men and one woman C(18,3) = 18! / (3! (18 - 3)!) = 18! / (3! 15!) = 1320.
Thus, there are 1320 different methods to create a committee of two men and one woman out of a group of ten men and eight women.
To know more about Combination, visit:
https://brainly.com/question/28065038
#SPJ1
‼️WILL MARK BRAINLIEST‼️
(A) The information will be categorized.
(B) The easiest technique to show categorical data would be to use a graph or a Pie chart.
What is categorical data?Categorical data is a body of knowledge that is organized into categories.
For instance, the data obtained when an organization or agency tries to collect the biodata of its employees is referred to as categorical data.
Categorical variables represent different sorts of data that can be categorized.
Race, sex, age, and educational level are a few examples of categorical variables.
So, in the given situation where the survey has been, taken:
(A) The data will be in categorical form.
(B) Graph or Pie chart would be the best way to display the categorical data.
Therefore, (A) The information will be categorized.
(B) The easiest technique to show categorical data would be to use a graph or a Pie chart.
Know more about the categorical data here:
https://brainly.com/question/30458946
#SPJ1
Jose is wrapping a stack of 100 coins in a paper holder. Each coin is 18
inch thick and has a diameter of
1 inch. How many square inches of paper will Jose need to cover the stack of coins?
Jose needs 61.23 square inches of paper to cover the stack of coins.
How many square inches of paper will Jose need to cover the stack of coins?The total thickness of the stack of 100 coins is 100 x 0.18 = 18 inches. The diameter of each coin is 1 inch, so the radius of each coin is 0.5 inches.
To find the amount of paper needed to cover the stack of coins, we need to calculate the total surface area of the stack.
The area of each circle is given by:
πr^2 where r is the radius of the coin.
The area of the top and bottom circles is:
2 x π x (0.5)^2 = 0.5π
The circumference of the circle is given by:
2πr
So, the circumference of each coin is:
2π(0.5) = π
The height of the stack is 18 inches, so the area of the curved surface is:
π x 18 = 18π
Therefore, the total surface area of the stack is:
1.5π + 18π = 19.5π
To cover the stack of coins with paper, Jose will need 19.5π square inches of paper.
19.5π ≈ 19.5 x 3.14 ≈ 61.23 square inches.
Therefore, Jose will need approximately 61.23 square inches of paper to cover the stack of coins.
Read more about area at
https://brainly.com/question/24487155
#SPJ1
Someone help me, i will give brainliest!
Answer:
A. the number of tornadoes decreased by 11
Step-by-step explanation:
point A rests on 13, point B rests on 2. therefore 13-2 = 11
Ages of 12 players on a basketball team: {11,10,11,11,8,11,12,11,9,10,11,12}
Best Center:
Why?:
The best center is the mean because there are no outliers
To determine the best center, we need to examing the ages of the player withing the range of age.
The ages of the players are: 11, 10, 11, 11, 8, 11, 12, 11, 9, 10, 11, 12
In the above list of age, we can seee that there are no outliers are
When there are no outliers in a dataset, the best center to use is the mean
Hence, the best center is the mean
Read more about mean at
https://brainly.com/question/548811
#SPJ1
Option 2: Proof
Can you prove using algebra which tray has more pie in?
Using algebra, the tray C has more pies in it than the trays A and B
Proving using algebra that a tray has more pieTo prove that one tray has more pie in it than others, we would need to have information about the amount of pie in each tray.
From the figure, we have
Tray A = x
Tray B = 4x
Tray C = 9x
When the above are compared, we have
9x > 4x > x
This means that tray C has more pies in it
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
Find the area of the image below: (4 points)
answer options:
41 square units
44 square units
52 square units
56 square units
Answer:
4(4) + (1/2)(10)(5) = 16 + 25
= 41 square units
Step-by-step explanation:
The area of the square is 4 × 4 = 16 square units.
The area of the triangle is (1/2) × 10 × 5 = 25 square units.
So the area of the image is 16 + 25 = 41 square units.
1. Plot points for each set of ordered pairs. Draw a line segment from one point to the next in the order that the points are listed. Do not connect the sets. Set 1: (4, 4) , (4, 11 ) , (8, 11 ), ( 9, 9 ) , ( 9, 6 ) , ( 8, 4 ) , ( 4, 4 ) Set 2: ( 5.5, 5.5 ) , ( 5.5 , 9.5 ) , ( 7 , 9.5 ) , ( 7.5, 8.5 ) , ( 7.5, 8.5 ) , ( 7.5, 6.5) , ( 7, 5.5 ) , ( 5.5, 5.5 ) Answer:
Please find attached the graph of the ordered pairs of the Set 1 and Set 2, created with MS Excel
What is a graph of a set of ordered pair?A graph is a pictorial representation of the relationship between the values of each data point in the ordered pair.
The graph of the ordered pair can be created with MS Excel, using the insert Chart function then choosing the Scatter with Straight Lines and Markers option in the insert chart tab on the menu bar as follows;
Enter the values for the ordered pair of Set 1 in columns A1 to A7, and B1 to B7, and the values in the ordered pair of Set 2 in columns A9 to A17, and B9 to B17, respectivelySelect cells A1:B17, then select the Insert menu button, then on the Charts sub menu in the Insert menu, click on the down arrow beside the Scatter chart menu buttonSelect the Scatter with Straight Lines and Markers option from the Scatter chart drop menu to create the plot of the points with line segments drawn from one point to next and the two sets not connectedPlease find the required graph created with MS Excel
Learn more graphing a set of ordered pairs of a function here: https://brainly.com/question/11765811
#SPJ1
the classical decision-making model assumes that managers have all of the information they need in order to make the optimum decision. true or false
The given statement "The classical model of decision making assumes that managers have all of the information they need in order to make the optimum decision." is false because it is not necessary that they have all information.
The classical decision-making model assumes that managers have access to all the relevant information, but it does not necessarily assume that they have all the information they need to make the optimum decision.
The model also assumes that the decision-maker is rational and logical, able to identify and evaluate all alternatives and select the best one based on a careful analysis of the pros and cons of each option. However, in practice, managers may not have access to all the information they need, or they may be influenced by biases or external pressures that can lead to suboptimal decision-making.
To know more about classical model here
https://brainly.com/question/31246149
#SPJ4
A landscaping business owner buys a new riding mower for $9,600. 0. The owner makes a $1,000 down payment and applies for an $8,600 four-year, 3. 5% interest rate installment loan, with monthly payments of $192. 26. What is the total cost of the mower? $8,600. 00 $9,600. 00 $9,228. 56 $10,228. 48
The total cost of mower is $10,228.48. The correct option from the following option given is D.
A down payment on a cottage is the money paid in advance by the buyer in a real estate transaction or other large purchase. Down payments are typically a portion of the sales price and can range from 3% to 20% for a primary residence.
The total cost of the mower will be the sum of the down payment and the total amount paid through the loan:
Down payment = $1,000
Total amount paid through the loan = (monthly payment) x (number of months) = $192.26 x 48 = $9,228.48
The total cost of the mower is:
Total cost = Down payment + Total amount paid through the loan
Total cost = $1,000 + $9,228.48
Total cost = $10,228.48
Therefore, the total cost of the mower is $10,228.48.
To know more more about down payment
brainly.com/question/29397199
#SPJ4
Inverse of this in (x-A)^c
—-
( B )
The inverse of (x-A)^c = B, where A = 2x + 1, is x = -(B^(1/c) + 1).
To find the inverse of the expression in (x - A)^c = B, where A = 2x + 1, we can use the following steps:
First, solve for x in terms of A
x = (A - 1) / 2
Substitute the expression for A into the original equation
(x - (2x + 1))^c = B
Simplify
(-x - 1)^c = B
Take the c-th root of both sides
-x - 1 = B^(1/c)
Solve for x
x = -(B^(1/c) + 1)
Therefore, the inverse of the expression in (x - A)^c = B, where A = 2x + 1, is given by
x = -(B^(1/c) + 1)
To know more about inverse of the expression:
https://brainly.com/question/12080785
#SPJ4
--The given question is incomplete, the complete question is given
" Inverse of this in (x-A)^c = (B)
—-
where A = 2X+1 "--
Teachers at Arcadia Elementary School asked students to name their favorite desserts.
Ice cream
1
3
Frozen yogurt
2
9
Cookies
1
9
Candy
1
9
Pudding
1
9
Brownies
1
9
Favorite desserts
If there were 99 students voting, how many of them named brownies as their favorite dessert?
Out of 99 students, 11 of them named brownies as their favorite dessert.
What is proportion?
A proportion is a statement that two ratios are equal. In other words, when two ratios have the same relationship between their corresponding values, they are said to be in proportion. Proportions are commonly used in mathematics to solve problems involving equivalent ratios and to scale quantities up or down. They can also be used to represent real-world situations, such as calculating the ratio of ingredients in a recipe or determining the scale of a map.
According to the chart, 1 out of 9 students named brownies as their favorite dessert.
To find the actual number of students who named brownies, you can set up a proportion,
1/9 = x/99
Where x represents the number of students who named brownies.
To solve for x, you can cross-multiply,
9x = 1 × 99
Simplifying,
9x = 99
x = 11
Therefore, out of 99 students, 11 of them named brownies as their favorite dessert.
Learn more about proportion here,
https://brainly.com/question/1496357
#SPJ1
Correct question is "Teachers at Arcadia Elementary School asked students to name their favorite desserts.
Ice cream -1/3
Frozen yogurt - 2/9
Cookies - 1/9
Candy - 1/9
Pudding - 1/9
Brownies - 1/9
If there were 99 students voting, how many of them named brownies as their favorite dessert?"
43) five friends were comparing the height of their dogs. the heights at the shoulders were 400mm, 370mm, 470mm, 330mm and 500mm. what is the standard deviation (nearest integer) of the heights of these dogs?: *
The standard deviation of the heights of these dogs, rounded to the nearest integer, is 63mm.
To find the standard deviation of the heights of these dogs, follow these steps:
1. Calculate the mean (average) height:
(400mm + 370mm + 470mm + 330mm + 500mm) / 5 = 2070mm / 5 = 414mm
2. Calculate the squared differences from the mean:
(400-414)^2 = 196
(370-414)^2 = 1936
(470-414)^2 = 3136
(330-414)^2 = 7056
(500-414)^2 = 7396
3. Calculate the mean of these squared differences:
(196 + 1936 + 3136 + 7056 + 7396) / 5 = 19720 / 5 = 3944
4. Find the square root of this mean:
√3944 ≈ 62.8
The standard deviation of the heights of these dogs, rounded to the nearest integer, is 63mm.
to learn more about standard deviation click here:
https://brainly.com/question/20553308
#SPJ11
The standard deviation of the heights of these dogs, rounded to the nearest integer, is 63m
To find the standard deviation of the heights of these dogs, follow these steps:
Calculate the mean (average) height:
(400mm + 370mm + 470mm + 330mm + 500mm) / 5 = 2070mm / 5 = 414mm
Subtract the mean from each height and square the result:
[tex](400mm - 414mm)^2 = (-14)^2 = 196[/tex]
[tex](370mm - 414mm)^2 = (-44)^2 = 1936[/tex]
[tex](470mm - 414mm)^2 = 56^2 = 3136[/tex]
[tex](330mm - 414mm)^2 = (-84)^2 = 7056[/tex]
[tex](500mm - 414mm)^2 = 86^2 = 7396[/tex]
Find the mean of these squared differences:
(196 + 1936 + 3136 + 7056 + 7396) / 5 = 19720 / 5
= 3944
Take the square root of the mean of the squared differences to get the standard deviation:
√3944 ≈ 62.8
For similar question on deviation.
https://brainly.com/question/29800829
#SPJ11
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 98° is added to the data, how does the mean change?
The mean increases by 8.2°.
The mean decreases by 8.2°.
The mean increases by 1.4°.
The mean decreases by 1.4°.
"The mean increases by 8.2°."
What is mean?The mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by adding up all the values in the set and dividing by the total number of values.
To find the mean of a set of data, you add up all the values in the set and divide the sum by the number of values in the set.
Let's first find the original mean of the data:
mean =[tex](58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12[/tex]
mean = [tex]825 / 12[/tex]
mean =[tex]68.75[/tex]
Now, if we add 98 to each value in the set, the new set becomes:
[tex](156, 159, 169, 175, 189, 198, 203, 200, 193, 180, 164, 155)[/tex]
To find the new mean, we add up all the values in the new set and divide the sum by the number of values in the set:
new mean =[tex](156 + 159 + 169 + 175 + 189 + 198 + 203 + 200 + 193 + 180 + 164 + 155) / 12[/tex]
new mean = [tex]2021 / 12[/tex]
new mean = [tex]168.42[/tex]
Therefore, the mean increases by 8.67 degrees (rounded to two decimal places). None of the given answer options are an exact match to this value, but the closest option is "The mean increases by 8.2°."
TO know more about mean visit:
https://brainly.com/question/12019147
#SPJ1
"The mean increases by 8.2°."
What is mean?
The mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by adding up all the values in the set and dividing by the total number of values.
To find the mean of a set of data, you add up all the values in the set and divide the sum by the number of values in the set.
Let's first find the original mean of the data:
mean =(58+61+ 71+ 77+ 91+100+105+102+95+82+66+57)/12
mean = 825/12
mean = 68.75
Now, if we add 98 to each value in the set, the new set becomes:
156,159,169,175,189,198,203,200,193,180,164,155.
To find the new mean, we add up all the values in the new set and divide the sum by the number of values in the set:
new mean = (156+159+169+175+189+198+203+200+193+180+164+155)/12
new mean = 2021/12
new mean = 168.42
Therefore, the mean increases by 8.67 degrees (rounded to two decimal places). None of the given answer options are an exact match to this value, but the closest option is "The mean increases by 8.2°."
TO know more about mean visit:
https://brainly.com/question/12019147
#SPJ1
liv and hassan graphed the transformation shown below in 5-10 record which graph meets the given criteria by writing liv hassan both or neither
Considering the attached figure, the transformation questions are answered as follows
5. Hassan
6. Liv
7. Both
8. Liv
9. Neither
What is reflection in transformationReflection is a type of transformation in geometry that involves flipping a shape over a line of reflection, such that the image is a mirror image of the original shape. The line of reflection is a fixed line that acts as the axis of symmetry for the transformation.
Liv was a translation, that moved the preimage from the second quadrant to an image in quadrant 1. But Hassan image was a reflection that flipped the preimage from the first quadrant to an image in quadrant 2
Learn more about transformation at
https://brainly.com/question/4289712
#SPJ!
I don’t know the answer to the math problem
Answer:
54.1 cm
Step-by-step explanation:
1) Divide the circumference by pi (3.14…)
2) Your quotient (108.2… cm) is now the diameter of the circle. The diameter goes through the circle completely. The radius is half of the diameter, or it goes halfway through the circle. Hence, you would divide the previous answer by 2.
3) 108.2… cm divided by 2 should leave you with about 54.1… cm.
A city planner is rerouting traffic in order to work on a stretch of road. The equation of the path of the old route can be described as y = two fifthsx − 4. What should the equation of the new route be if it is to be parallel to the old route and will go through point (Q, P)?
y − Q = negative five halves(x − P)
y − Q = two fifths(x − P)
y − P = negative five halves(x − Q)
y − P = two fifths(x − Q)
The equation of the new route, parallel to the old route and passing through point (Q, P), is y = (2/5)x + (5P - 2Q)/5.
Since the new route is to be parallel to the old route, it must have the same slope. The slope of the old route is 2/5, so the slope of the new route must also be 2/5.
Let the slope intercept form of the new route be y = mx + b, where m is the slope and b is the y-intercept. Since the new route goes through point (Q, P), we can substitute these values to get
P = mQ + b
We know that m = 2/5, so we can substitute this value to get
P = (2/5)Q + b
To find the value of b, we can use the fact that the new route goes through point (Q, P). Substituting these values, we get:
P = (2/5)Q + b
P = (2/5)Q + b
Simplifying this equation, we get
b = P - (2/5)Q
Therefore, the equation of the new route is
y = (2/5)x + (P - (2/5)Q)
or
y = (2/5)x + (5P - 2Q)/5
Learn more about slope intercept form here
brainly.com/question/29146348
#SPJ4
The given question is incomplete, the complete question is:
A city planner is rerouting traffic in order to work on a stretch of road. The equation of the path of the old route can be described as y = 2/5 x - 4. What should the equation of the new route be if it is to be parallel to the old route and will go through point (Q, P)?
