Month process Total saved
1 38.5 $38.5
3 38.5 x 3 $115.5
5 38.5 x 5 $192.5
7 38.5 x 7 $ 269.5
9 38.5 x 9 $346.5
compare the mean,median, and mode in terms of their sensitivity to extreme scores
The mean is the most sensitive to extreme scores, followed by the median, while the mode is the least affected. The mean is greatly influenced by outliers, the median is moderately influenced, and the mode is generally unaffected by extreme scores.
The mean, median, and mode are measures of central tendency used to describe the average or typical value in a dataset. They differ in their sensitivity to extreme scores, also known as outliers or extreme values.
Mean:
The mean is calculated by summing all the values in a dataset and dividing by the total number of values. It is highly sensitive to extreme scores because it takes into account the magnitude of each value. Even a single extreme score can significantly affect the mean. This sensitivity arises from the fact that the mean incorporates all values in the dataset. Therefore, outliers can distort the mean and pull it towards their direction
Median:
The median represents the middle value when the dataset is arranged in ascending or descending order. It is less sensitive to extreme scores compared to the mean. The median only considers the position of the values, not their actual values. Therefore, extreme scores have less impact on the median since it focuses on the relative position of values rather than their magnitude. As a result, outliers have minimal influence on the median.
Mode:
The mode represents the value(s) that appear most frequently in the dataset. Like the median, the mode is not significantly affected by extreme scores. Outliers can occur in a dataset without affecting the mode because the mode is determined by the most frequently occurring value(s), regardless of their magnitude. In datasets with multiple modes or no mode, extreme scores may not significantly impact the mode.
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Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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-121 ___ -21 what symble makes this true
Answer: -100
Step-by-step explanation:
-121 - -100 = -21
Answer:
the less then sign because they are negative which makes the bigger negative number worth less. it would look like -121 < -21
Step-by-step explanation:
Consider this expression (x+9)(x-2)-9×_6
What expression is equivalent to the given expression
Answer:
x^2 -2x-24
Step-by-step explanation:
Answer: (x+4)(x-6)
Step-by-step explanation: Plato Answer
find the maximum value of the function f(x)=-1.8x^2+7x-11 to the nearest hundredth.
The maximum value of the function f (x) = -1.8x² + 7x - 11 to the nearest hundredth is, - 4.19.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ f (x) = -1.8x² + 7x - 11
Now, We can differentiate with respect to x as;
⇒ f ' (x) = - 1.8 × 2x + 7 × 1 - 0
⇒ f ' (x) = - 3.6x + 7
Put f ' (x) = 0
⇒ - 3.6x + 7 = 0
⇒ 3.6x = 7
⇒ x = 1.94
Now, Again differentiate with respect to x as;
⇒ f ' (x) = - 3.6x + 7
⇒ f '' (x) = - 3.6 × 1 + 0
⇒ f '' (x) = - 3.6 < 0
Hence, Substitute x = 1.94 in function to get maximum value,
⇒ f (x) = -1.8x² + 7x - 11
⇒ f (x) = -1.8 (1.94)² + 7 × 1.94 - 11
⇒f (x) = - 6.77 + 13.58 - 11
⇒ f (x) = - 4.19
Thus, The maximum value = - 4.19
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If we add one unit to the length (l) of a rectangle that has width (w), what is its new area (NA) in terms of its old area (A)?
NA = A x w
NA = A + w
NA = A + l
NA = A
NA = A + W
By adding one unit to length, we increase the overall area by the width of the rectangle. This is because the formula for the area of a rectangle is A = l x w. So, NA = (l + 1) x w = (l x w) + w = A + w.
A car use 40 litres of petrol to travel 340 km.
how far will it travel on a full tank of 52 litres?
how many litres of petrol should it use for a journey of 250 km?
Answer:
......
Step-by-step explanation:
Yeh
which of these choices show a pair of equivalent expression? check all the aplly?
a pair of equivalent expression can be seen in option A and B
Explanation:\(\begin{gathered} a)\text{ (}\sqrt[4]{81})^7=81^{\frac{7}{4}} \\ \text{Hnece, (}\sqrt[4]{81})^7\text{ and }81^{\frac{7}{4}}\text{ are equal} \end{gathered}\)\(\begin{gathered} b)6^{\frac{7}{2}}\text{ can be written as (}\sqrt[]{6})^7 \\ \sin ce\text{ }6^{\frac{7}{2}}\text{ and (}\sqrt[]{6})^7\text{ are the same, they are equal} \end{gathered}\)\(\begin{gathered} c)5^{\frac{2}{3}}is\text{ written as }\sqrt[3]{^{}\mleft(5\mright?^{}})^2 \\ 5^{\frac{2}{3}}\text{ is not the same as }(\sqrt[]{5^{}})^3 \end{gathered}\)\(\begin{gathered} d)7^{\frac{5}{7}}\text{ can be written as }\sqrt[7]{(7)^5} \\ \sqrt[7]{(7)^5}\text{ is not the same as (}\sqrt[]{7)^5} \\ \text{hence, }7^{\frac{5}{7}}\text{ is not the same as (}\sqrt[]{7)^5} \end{gathered}\)The options that are equal are equivalent.
Hence, a pair of equivalent expression can be seen in option A and B
7 ft equal how many inches
Answer:
Step-by-step explanation:
There is 12 inches in a foot: therefore, 12inches x 7ft. = 84 ft.
Answer: 84 inches
Step-by-step explanation:
A conversion factor is a number that is used to multiply or divide one set of units into another. For instance, 12 inches equals one foot when converting between inches and feet.
Since 1 foot = 12 inches
And we are trying to figure out how much inches are in 7 ft.
We can create a conversion (or cross multiply)
\(\frac{12}{1} =\frac{x}{7}\)
Where inches are in the numerator and ft are in demoninator.
When cross multiplying (multiplying in a diagonal) you get:
x = 84 inches
So 7 ft equals 84 inches.
---
A quicker method would be to multiply 7 ft by 12 inches/1 ft (foot), and get 84 inches.
--
Recently many airlines have had cancel flight in a single day republic airlines had to cancel 416 flights representing 15.1% of the airlines scheduled flights. How many flights were originally scheduled?
The number 2755 flights were scheduled.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Recently many airlines have had to cancel flights in a single day.
Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.
The number of flights scheduled,
= 416 x 100/ 15.1
= 41600/15.1
= 2754.96
≈ 2755
Therefore, 2755 flights were scheduled.
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What is the slope of the line descrbed by the equation below?
The given equation of the line is:
\(y-5=-3(x-17)\)It is required to determine the slope of the line.
Recall that the point-slope form of the equation of a line is given as:
\(y-b=m(x-a)\)Where m is the slope of the line and it passes through the point (a,b).
Notice that the given equation is in the point-slope form.
Notice that the slope is m=-3.
The answer is option A.
What is the length of AB?
The answer is B, I just answered this question on my quiz.
A dog breeder is planning to buy more dog food. He makes a table showing how
many pounds of food he will have after shopping. The table is based on how much he
spends and how much food he already has. Which equation generates the table?
Money Spent (x) $0 $20 $40 $60
Pounds of Food (v) 4 12 20 28
x=y-4
y=8x-4
x=8y +4
y=x+4
The equation that generates the table is
y = (2/5)x + 4.
What is an equation of a line?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Money Spent (x) $0 $20 $40 $60
Pounds of Food (v) 4 12 20 28
We can have the following points from the table.
(0, 4), (20, 12), (40, 20), and (60, 28).
Now,
Choose two points:
(0, 4) and (20, 12)
m = (12 - 4) / (20 - 0)
m = 8 / 20
m = 2/5
Now,
(0, 4) = (x, y)
y = mx + c
4 = (2/5) x 0 + c
4 = c
c = 4
Now,
The equation is given as,
y = mx + c
y = (2/5)x + 4
The equation that generates the table is
y = (2/5)x + 4.
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What is the area of the figure?
Answer:
58.5 ft²
Step-by-step explanation:
The figure is made up of a square, triangle and rectangle. Thus, the area of the figure is the sum of the areas of the square, triangle and rectangle.
Let's find the area of each!
Square
Area of square= side ×side
Area
= 3(3)
= 9 ft²
Triangle
Area of triangle= ½ ×base ×height
Base= 11 ft
Height= 3 ft
Area
= ½(11)(3)
= 16.5 ft²
Rectangle
Area of rectangle= length ×breadth
Area
= 3(11)
= 33 ft²
Area of figure
= 9 +16.5 +33
= \(\textcolor{red}{58.5 \: {\text{ft}} {}^{2} }\)
c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
Question 3(Multiple Choice Worth 2 points) (01.01 MC) What is seven hundred thousand one hundred eighty-two and nine thousandths written in expanded form 700,000+100 + 80 +2 +0.009 700,000+ 10,000+8,000 + 200 +0.9 7,000,000+ 100,000+ 9,000 + 80 +2 7,000,000+ 100,000+80,000 +2 +0.09
The number in an expanded form is 700,000 + 182 + 0.009
How to write the number in an expanded form?The number is given as:
seven hundred thousand one hundred eighty-two and nine thousandths
Next, we split the numbers:
seven hundred thousand = 700,000
one hundred eighty-two = 182
and nine thousandths = 0.009
Next, we add the numbers
700,000 + 182 + 0.009
Hence, the number in an expanded form is 700,000 + 182 + 0.009
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4. United Bank offers a 15-year mortgage at an APR of 4.2%. Capitol Bank offers
a 25-year mortgage at an APR of 4.5%. Marcy wants to borrow $120,000.
a. What would the monthly payment be from United Bank?
b. What would the total interest be from United Bank? Round to the nearest
ten dollars.
c. What would the monthly payment be from Capitol Bank?
d. What would the total interest be from Capitol-Bank? Round to the nearest
ten dollars.
e. Which bank has the lower total interest, and by how much?
f. What is the difference in the monthly payments?
uw.nadin
g. How many years of payments do you avoid if you decide to take out the
shorter mortgage?
Monthly payment for United bank = $1207.70, monthly payment for capitol bank =$1834.62. Total interest from United bank = $75600 and from capitol bank = $135000.
What is total interest?
Total interest is determined by the addition of all the interest payments.
what would be the monthly payment and total interest from each bank?
United bank offers mortgage at an APR of 4.2%
APR means annual percentage rate.
mortgage is offered for the period of 15 years.
initial principal amount of Marcy = $120000
we need to determine the monthly payment from United bank.
at first, we will determine the rate of interest per month.
monthly interest rate = (4.2) / (100 × 12) = 0.0035
1 year = 12 months
15 years = 15×12 = 180 months
monthly payment is calculated by the formula = [rate + (rate) / {(1+rate)∧month}⁻¹] ×principal
monthly payment = [ 0.0035 + (0.0035) / {(1+0.0035)∧180}⁻¹] ×120000
= $1207.70
from united bank monthly payment = $1207.70
Now we calculate the monthly payment from Capitol bank.
APR for capitol bank = 4.5%
number of years for which mortgage is issued = 25 years
number of months = 12×25 = 300.
monthly interest rate = (4.5) / (100×12) = 0.00375
monthly payment for capitol bank = [0.00375 + (0.00375) / {(1+0.00375)∧300}⁻¹] × 120000
= 1834.62
monthly payment from Capitol bank = $1834.62
total interest from Capitol bank = principal money × yearly interest rate × time period.
Total interest = 120000 × 4.5/100× 25
= $135000 for the Capitol bank
Total interest from United bank = principal amount × yearly interest × time period
= 120000× 4.2/100 × 15
total interest from united bank = $75600
United bank has lower total interest.
difference in monthly payment = 1834.62 - 1207.70
= 626.92 dollars
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Select the correct answer.
What is the equation of the parabola shown in the graph?
Answer:
c) y=-x^2/4 - 2x - 7
Step-by-step explanation:
Which number has a 4 with a value ten times less than the 4 in the number 123,469?
The number that has a 4 in the hundred places.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A 4 with a value ten times less than the 4 in the number 123,469.
First, the value of the 4 in the number 123,469 can be found by separating each digit as:
123,469 = 100,000 + 20,000 + 3,000 + 400 + 60 + 9
Then the value of the 4 is 400.
Now we want a number that has a 4 with a value then times less than 400. Then we have
400/10 = 40
Then we want a number that has a 4 in the hundred places.
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Find the decimal expansion for 5/12
Answer:
Answer would be 0.4166666667
Step-by-step explanation:
how many sides does a polygon have whose total number of diagonals is 20?
Answer:
there would be 8 sides if there are 20 diagonals
A ladder rests against the top of a wall. The head of a person 6 feet tall just touches the ladder the person is 9' from the wall and 6' from the foot of the ladder. find the height of the wall
Answer:
15 ft
Step-by-step explanation:
Let the height of the wall be represented bad x
Applying the theorem of similarity, we would have the following equation:
\( \frac{x}{6} = \frac{9 + 6}{6} \)
\( \frac{x}{6} = \frac{15}{6} \)
\( \frac{x}{6} = \frac{5}{2} \)
Cross multiply
\( x*2 = 5*6 \)
2x = 30
Divide both sides by 2
x = 15
Thus, the height of the wall = 15 ft
Pls someone help me with this question pls
Answer:
9/11
Step-by-step explanation:
9/11
Which of the following equations represents a line that passes through the points (3, 2) and (0,3)
Let's begin by listing out the information given to us:
\(\begin{gathered} (x_1,y_1)=(3,2) \\ (x_2,y_2)=\mleft(0,3\mright) \end{gathered}\)We will proceed by calculating the slope:
\(\begin{gathered} slope(m)=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{3-2}{0-3}=\frac{1}{-3}=-\frac{1}{3} \\ m=-\frac{1}{3} \end{gathered}\)Next is to use the point-slope formula to find an equation for the line:
\(\begin{gathered} \mleft(y-y_1\mright)=m(x-x_1) \\ x_1=3,y_1=2,m=-\frac{1}{3} \\ y-2=-\frac{1}{3}(x-3)\Rightarrow y-2=-\frac{1}{3}x+1 \\ \text{Put like terms together, we have:} \\ y=-\frac{1}{3}x+1+2\Rightarrow y=-\frac{1}{3}x+3 \\ y=-\frac{1}{3}x+3 \end{gathered}\)MATH WEEK 5 HOMEWORK
Answer:
y=3/5x-1 or y=0.6x-1
Step-by-step explanation:
Answer:
y=3/5x-1 or y=0.6x-1
Step-by-step explanation:
A college offers shuttle service from Ball Hall or Lot A to its campus quad. Both shuttles first depart their locations at 9:25 A.M. They run from each location to campus and back at the intervals shown. When is the next time both shuttles will depart for campus at the same time? Explain.
Ball Hall: 30 minutes
Lot A: 20 minutes
Using the lowest common factor of the shuttles' run times, they will depart again for the campus simultaneously at 10.25 A.M.
How is the time determined?We can use the lowest common factor (LCM) of their run time to determine when they depart again for the campus.
The lowest common factor of 30 and 20 is 60 because both 30 and 20 can divide 60 evenly without a remainder, showing that it takes 60 minutes for the two shuttles to depart for the campus at the same time.
We can conclude that every 60 minutes or hour, the two shuttles simultaneously depart for the campus. Every hour, the shuttle departing from Ball Hall completes 2 runs, while the shuttle departing from Lot A completes 3 runs.
Thus, using the lowest common factor, the next time both shuttles will depart for the campus at the same time is 10:25 A.M.
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The above cards are laying facedown on the table. What is the probability of not picking the green card? 80% 4% 40% 20%
Answer:
80 %
Step-by-step explanation:
Total number of cards = 5
Number of green cards=1
Number of non green cards= 4
Percantage of non green cards= 4 /5 x 100 = 80 %
I think this is right!
Solve for (-8/5) x - 6 = -54
Answer:
x=30
Step-by-step explanation:
-8/5 - 6 = -54
-8x/5 - 6 = -54
-8x/5 − 6 +6 = -54 plus 6
Then Add the numbers and simplify
so then the answer would be x=30
Answer: x=30
Step-by-step explanation:
Translate to an equation please.
four less than thirteen times a number is equal to that number added to eight
Hi
let call "a number" X.
then we have: 4-13X = X + 8 ..
Is these true or false help out
Answer:
1. False
2. True
Step-by-step explanation:
1. 3v \(\geq\) 60
3(10) \(\geq\) 60
30 \(\geq\) 60
2. x + 18 < 32
2 + 18 < 32
20 < 32
Answer:
I have attached a picture of me solving it. Hope this helps, thank you !!