Answer:
13.5
Step-by-step explanation:
In this formula, v is velocity, u is the starting velocity, a is the acceleration, and t is the time. Using this knowledge, we can plug in our given information into the formula.
v=u+at
v=3+1.5*7
Now, we can solve for v, velocity.
v=3+10.5
v=13.5
What is the area of the figure?
A figure can be broken into a rectangle and triangle. The rectangle has a base of 5 feet and height of one-third feet. The triangle has a base of 3 and two-thirds feet and height of 2 feet.
5One-third ft2
6 and two-thirds ft2
7 ft2
9 ft2
Answer:
Given a figure that is broken into a rectangle and triangle.
The dimensions of the rectangle are:
Base : 5 ft
Height : 1/3 ft
The dimensions of the triangle are :
Base : 3 upon 2/3 ft
Height : 2 ft
The area of the figure calculated below :-
Area of rectangle + Area of triangle
Area of rectangle + Area of triangleLB + 1/2BH
(5×1/3) + (1/3+3upon2/3×2)
The result is simplified below :-
5/3+11/3
5+11/3
16/3 ft
51/3 ft square.
The area of the figure is 5 and one third square feet.
Answer:
5 1/3
Step-by-step explanation:
help me solve this please
The measure of angle A is 1 degree.
What is sum of the angles ?
The sum of the angles in a triangle is always 180 degrees. This is known as the Triangle Sum Theorem. This theorem applies to all triangles, regardless of their size or shape, and is one of the fundamental properties of Euclidean geometry.
In addition to the Triangle Sum Theorem, there are other important angle relationships in geometry, such as the Exterior Angle Theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. These angle relationships can be used to solve various problems in geometry, such as finding unknown angle measures or proving geometric theorems.
According to the triangle:
We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can write:
angle C = 180 - angle A - angle B
Substituting the given expressions for angle A and angle B, we get:
angle C = 180 - (6x - 35) - (3x + 53)
Simplifying, we get:
angle C = 92 - 3x
We also know that the angles of a triangle are non-negative, so we can write:
angle A > 0, angle B > 0, angle C > 0
Substituting the given expressions for angle A and angle B, we get:
6x - 35 > 0 and 3x + 53 > 0
Solving these inequalities, we get:
x > 35/6 and x > -53/3
The second inequality is always true, so we only need to consider the first one. Since x must be greater than 35/6, the smallest integer value of x that satisfies this inequality is x = 6.
Substituting x = 6 into the expression for angle A, we get:
angle A = 6x - 35 = 6(6) - 35 = 1°
Therefore, the measure of angle A is 1 degree
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PLEASE HELP ME THIS IS MOST OF MY GRADE. I PUT 100 POINTS. SERIOUS ANSWERS ONLY. I WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
hehe good luck loser T^T
Answer:
1. Cheese burger, French fries (regular), Ice cream (regular), any of the beverages.
2. Fried Chicken, Macaroni soup, Mango pie, any of the beverages.
3. Cheese burger, French fries (regular), Ice cream (regular), any of the beverages, because, there are going to be 40 guests and that are a lot of people to feed so I would rather spend more money than on some random people who come to my 2 year old son.
4. PhP 222.2 repeated
Step-by-step explanation:
A spinner with 4 equal sections is spun 20 times. The frequency of spinning each color is recorded in the table below.
Outcome Frequency
Pink 6
White 3
Blue 7
Orange 4
What statement best compares the theoretical and experimental probability of landing on blue?
The theoretical probability of landing on blue is one fourth, and the experimental probability is 35%.
The theoretical probability of landing on blue is one fourth, and the experimental probability is 50%.
The theoretical probability of landing on blue is one fifth, and the experimental probability is 35%.
The theoretical probability of landing on blue is one fifth, and the experimental probability is 50%.
Answer:
Step-by-step explanation:
The statement that best compares the theoretical and experimental probability of landing on blue is:
The theoretical probability of landing on blue is one fourth, and the experimental probability is 35%.
Theoretical probability is the probability of an event occurring based on the assumption that the spinner is fair, and the experimental probability is the probability of an event occurring based on the data collected from the spins.
Since the spinner has four equal sections, the theoretical probability of landing on any section is 1/4 or 25%. Therefore, the theoretical probability of landing on blue is 1/4 or 25%.
On the other hand, the experimental probability is the number of times an event occurs, divided by the total number of trials.
In this case, the experimental probability of landing on blue is 7/20 or 35%.
So the theoretical probability of landing on blue is one fourth or 25% and the experimental probability is 35%.
John's father has a large collection of ties. He has 20 ties, and 8 of them are pink.
If John's father chose a tie at random, what is the probability that the tie would be pink?
Answer:
57.77% out of 100
john's father would pick pink because pink is in less number
Answer:
25%
Step-by-step explanation:
20 divided by 8 times 100 take away the zero
percentage = part/whole x 100
Give an example of a function that is a dilation and a reflection of the parent function.
Answer: f(x) = -1/2(x+3)
Example: g(x) = -1/2(-x-3)
This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.
i'm stuck on the 'use exact numbers' portion of this .. the equation i came up w/ is: y=2/3x+4 but i know that the 2/3 has to be an exact number .. but how? if i were to divide both of them by 2, i get 1/1.5 ... do i round 1.5 up to 2?
The equation will be 3 y = 2 x + 12 for the graph given.
We are given a graph of the equation.
We need to find the equation of the graph.
Now, first we will see the x and y intercept of the graph.
So, we get that:
x intercept:
( - 6 , 0)
y intercept:
(0 , 4)
Now, we know that equation of the line is given by:
y = a x + b … (1)
Put the points in the equation:
for (-6 , 0)
0 = - 6 a + b
6 a = b … (2)
for (0 , 4)
4 = b
Put in (2)
6 a = 4
a = 4 / 6
a = 2 / 3
Put in equation (1):
y = 2 / 3 x + 4
y = ( 2 x + 12 ) / 3
3 y = 2 x + 12
Therefore, we get that, the equation will be 3 y = 2 x + 12 for the graph given.
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pic ^^^ help aspa
what a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Someone help me with these math problems please !! (It is not obligatory to put the explanation so I save time and you will answer me more quickly please!
Answer:
the first option
Step-by-step explanation:
it is directly there in the problem description.
f(x) = 1.8x - 10
g(x) = -4
so, for f(x)=g(x) that automatically means
1.8x - 10 = -4
1.8x = 6
x = 6/1.8 = (6/1) / (18/10) = 10×6 / 18×1 = 60/18 = 10/3
Image transcription textNewtonia distance | Problem
Modern cities are often designed in a grid pattern that aligns with north/south and east/west directions. In the city of
Newtonia each block is 167 m long. If you were to walk east for 4 blocks, then south for 3 blocks, how far in meters
would you actually walk?
835... Show moreI want solved answer
The magnitude of the displacement of your walk is approximately 835 meters. Thus, the correct option is E.
To calculate the magnitude of displacement, we can use the Pythagorean theorem. The displacement is the straight-line distance between the starting and ending points of the walk.
In this case, you walk east for 4 blocks, which would cover a distance of 4 * 167 = 668 meters in the x-direction. Then, you walk south for 3 blocks, which would cover a distance of 3 * 167 = 501 meters in the negative y-direction.
Using the Pythagorean theorem, the magnitude of displacement is given by:
Magnitude of displacement = √(distance in x-direction)^2 + (distance in y-direction)^2
Magnitude of displacement = √(668^2 + (-501)^2)
Magnitude of displacement = √(445024 + 251001)
Magnitude of displacement = √696025
Magnitude of displacement ≈ 835 meters
Therefore, the magnitude of the displacement of your walk is approximately 835 meters. Among the given options, the answer that is equal to the magnitude of displacement is 835 m. Thus, the correct option is E.
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Complete Question:
Modern cities are often designed in a grid pattern that aligns with north/south and east/west directions. In the city of Newtonia each block is 167 m long. If you were to walk east for 4 blocks than south for 3 blocks, which of the following are equal to the magnitude of the displacement of your walk? Assume north is in the positive y-direction and east is in the positive x-direction. Group of answer choices
A. 5 blocks
B. 7 blocks
C. 12 blocks
D. 1169 m
E. 835 m
F. 668 m
*NEED AN ANSWER ASAP* Find x+y given the angle measures in trapezoid EFGH below.
Answer: x + y = 150
Explanation
y - 65 = 110
y = 110 + 65 (Alternate Interior)
y = 175
y - 65 = 110
∠FGH = 70
70+55+x+45+110 = 360 (sum of angles of a quadilateral is 360)
x + 280 = 360
x = 360 - 280
x = 80
So
x + y = 70 + 80
= 150
Must click thanks and mark brainliest
Ama took 15 minutes to run ten times round a rectangular field measuring 200m by 100m. What was the total distance covered by Ama?
Answer:600m
Step-by-step explanation:
100m+100m+200m+200m=600m
diseases tend to spread according to the exponential growth model. in the early days of aids, the growth factor (i.e. common ratio; growth multiplier) was around 1.9. in 1983, about 1700 people in the u.s. died of aids. if the trend had continued unchecked, how many people would have died from aids in 2005?
The number of people died from aids in U.S. in 2005 are 2,30,68,96,671
Given, diseases tend to spread according to the exponential growth model.
In the early days of aids, the growth factor (i.e. common ratio; growth multiplier) was around 1.9.
In 1983, about 1700 people in the U.S. died of aids.
we have to find the number of people died from aids in 2005.
Let the exponential function, be
P(x) = AB^x
where, A is the initial population of people died of aids in U.S.
B is the growth factor of aids in U.S.
as, B = 1.9
In 1983, x = 0
P(0) = AB^0
1700 = A
Now, P(x) = 1700(1.9)^x
and the number of years from 1983 to 2005 are, 22 years
The number of people died from aids in 2005 be,
P(22) = 1700(1.9)^22
P(22) = 2,30,68,96,671
So, 2,30,68,96,671 people died from aids in 2005.
Hence, 2,30,68,96,671 people died from aids in 2005.
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(x-2) + (x+6)
Please help me with this it is 7th grade pre algebra.
Answer: 2x+4
Step-by-step explanation:
add like terms
x+x=2x
-2+6=4
6. Simplify:
√900+ √0.09+√0.000009
The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.
To simplify the given expression, let's evaluate the square roots individually and then perform the addition.
√900 = 30, since the square root of 900 is 30.
√0.09 = 0.3, as the square root of 0.09 is 0.3.
√0.000009 = 0.003, since the square root of 0.000009 is 0.003.
Now, we can add these simplified values together
√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303
Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.
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biologist zing yang kuo demonstrated that a cat had been raised from birth with a rat in the same cagewould attack netiehr that specific rat nor other rats this research suggests that
Kuo's research emphasizes the role of learning in shaping an animal's behavior and highlights the importance of early experiences in shaping social behavior. This research has important implications for the fields of biology, animal behavior, and animal welfare.
Biologist Zing Yang Kuo's research demonstrated that a cat raised from birth with a rat in the same cage would not attack that specific rat or other rats. This research suggests that the cat's behavior towards rats is learned and not solely based on instinct. The results of this study have implications for understanding the role of early experiences in shaping an animal's behavior towards other species.
The study highlights the importance of socialization in shaping an animal's behavior. Animals raised in isolation from their own species may exhibit abnormal behaviors and may not develop appropriate social skills. In the case of the cat raised with the rat, the presence of the rat from an early age prevented the cat from perceiving the rat as prey.
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Please help me please please please 20pts
Answer:
A
Step-by-step explanation:
In this case, the equation that represents a nonlinear function is A.
Isolate y and see what the function is:
x(y-5)=2
y-5=2/x
y=2/x + 5 = (2+5x)/x
This is now a rational function. Unlike all the other choices, this is not linear.
can someone help me with this please
Answer:
the slope is 3/4
Step-by-step explanation:
find the perimeter
side A: x+10y units
side B:7x^2-x+9y units
Answer:
14x^2 + 2y
Step-by-step explanation:
We are given two expressions as the side lengths of a rectangle we must find the perimeter.
The formula for perimeter of a rectangle is \(P=l+l+w+w\). Judging by this, we will have add up all the sides of the rectangle. Lets start by adding the two length expressions first.
\((x+10y)+(x+10y)\)
Add x terms
\(2x\)
Add y terms
\(2x+20y\).
Now lets add the width terms
\((7x^2 - x - 9y) + (7x^2 - x - 9y)\)
Add x squared terms
\(14x^2\)
Add x terms
\(14x^2-2x\)
Add y terms
\(14x^2-2x-18y\)
Now we need to add both of the two expressions together
\((14x^2-2x-18y)+(2x+20y)\)
We can bring down our x squared term since we have no like terms
\(14x^2\)
Add x terms, which cancel.
\(14x^2+0\)
Add y terms
\(14x^2 +2y\)
The perimeter of the rectangle is 14x^2 + 2y
HELP PLEASE..........
Answer:
19.47
Step-by-step explanation:
Use the law of sines.
sin(90)/6 = sin(x)/2
Multiply both sides by 2
2 * sin(90)/6 = sin(x)
Use a calculator
0.33333 = sin(x)
sin^-1 0.3333 = 19.47
Let’s say you separated your candy into two bags. One bag for chocolate bars and one bag for everything else. In the chocolate bar bag there were the following; 10 dark chocolate, 23 milk chocolate, 14 chocolate with nuts and 3 white chocolate bars. If you reached into the bag without looking, what is the probability of getting a dark chocolate bar?
Answer:
10/50 or 1/5 or 20 % chance
Step-by-step explanation:
well to find this out we have to add all of the chocolates together
10+23+14+3
33+17
50
And then we divide the amount of dark chocolate by 50
And it will be 10/50 or 1/5
−4y−4+(−3) I don't understand it if anyone want to help me understand it feel free to do so
Answer:
-4y-7
Step-by-step explanation: You have to add all like terms first. So -4+-3 that is -7. Then the equation is -4y-7.
Question Given two nonnegative numbers a and b such that a+b= 4, what is the difference between the maximum and minimum a²6² of the quantity ?
The difference between the maximum and minimum values of the expression a² + 6², where a and b are nonnegative numbers satisfying a + b = 4, is 16.
To find the difference between the maximum and minimum values of the expression a² + 6², where a and b are nonnegative numbers and a + b = 4, we need to determine the possible range of values for a and then calculate the corresponding values of the expression.
Given that a + b = 4, we can rewrite it as b = 4 - a. Since both a and b are nonnegative, a can range from 0 to 4, inclusive.
Now we can calculate the expression a² + 6² for the minimum and maximum values of a:
For the minimum value, a = 0:
a² + 6² = 0² + 6² = 36.
For the maximum value, a = 4:
a² + 6² = 4² + 6² = 16 + 36 = 52.
Therefore, the difference between the maximum and minimum values of the expression a² + 6² is:
52 - 36 = 16.
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HELP PLZ I’m struggling with this
Answer:
270 per year so 6 years is 1620 and add that with 6000=7620
What is the behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero?.
The behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero is the polynomial's final behavior will be "down" on the left and "up" on the right.
Define polynomial function.In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. Expressions that contain variables of various intensities, non-zero coefficients, positive exponents (of variables), and constants are known as polynomial functions. For instance, the polynomial in "b" of degree 2 is f(b) = 4b² - 6.
Given,
The behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero is:
This odd-degree polynomial's end behavior will resemble that of a positive cubic because its leading coefficient is positive. As a result, the polynomial's final behavior will be "down" on the left and "up" on the right.
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(2/3)^x-1=27/8, Find x. Please show a step-by-step explanation.
NB:x is an exponent.
\(( \frac{2}{3} ) {x - 1 = \frac{27}{8} }^{?} \)
Answer:
x = -2
\((2/3)^{(x-1)} = \frac{27}{8}\)
Step-by-step explanation:
you have to use logs here
\(ln((2/3)^{x} ) =ln(27/8)\\x ln((2/3) ) =ln(275/8)\\\\\)
x-1 =ln(27/8)/ ln(2/3)
x -1 = -3
x = -2
in the miss america pageant, 51 contestants must be narrowed down into 10 finalists. how many ways can this occur?
Total ways can occur is 19,653,800.
What is Combination?
Combinations are ways to choose elements from a larger set in mathematics where the order of the elements is irrelevant. Repetition is prohibited and the order of the elements does not matter in a combination, which is a subset of items.
The number of combinations of 51 things chosen 10 at a time, represented as C, determines the number of possibilities to choose 10 finalists from 51 contestants (51, 10).
Combinations are calculated as follows: C (n, k)=\(n! / (k! (n-k)!).\)
Consequently, there are three options to choose 10 finalists from the pool of 51 applicants:\(C(51, 10) = 51! / (10! (51-10)!) = 51! / (10! 41!) = 19,653,800.\\\)
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in the miss America pageant, 51 contestants must be narrowed down into 10 finalists. The total number of ways that can occur is 19,653,800.
What is Combination?
In mathematics, combinations are strategies to select components from a bigger set where the order of the elements is unimportant. In a combination, which is a subset of items, repetition is not permitted and the position of the parts is irrelevant.
The possibility of selecting 10 finalists from 51 contenders is determined by the number of combinations of 51 things picked 10 at a time, denoted as C. (51, 10).
Combinations are calculated as follows: C (n, k)= \(\frac{n!}{k!(n-k)!}\)
Consequently, there are three options to choose 10 finalists from the pool of 51 applicants: 19653800
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If S={a,b,c} with P(a)=2P(b)=3P(c), find P(a). 9. If S={a,b,c,d,e,f} with P(a)=P(b)=P(c) and P(d)=P(e)=P(f)=0.1, find P(a). 10. If S={a,b,c,d,e,f} with P(a)=P(b)=P(c), P(d)=P(e)=P(f), and P(d)=2P(a), find P(a). 11. If E and F are two disjoint events in S with P(E)= 0.2 and P(F)=0.4, find P(E∪F),P(E
c
), and P(E∩F). 12. Why is it not possible for E and F to be two disjoint events in S with P(E)=0.5 and P(F)=0.7? 13. If E and F are two disjoint events in S with P(E)= 0.4 and P(F)=0.3, find P(E∪F),P(F
c
),P(E∩F), P((E∪F)
c
), and P((E∩F)
c
). 14. Why is it not possible for S={a,b,c} with P(a)= 0.3,P(b)=0.4, and P(c)=0.5 ?
Since the total probability of the sample space S must be equal to 1, it is not possible for three events with probabilities that add up to more than 1 to form the sample space.
9. If S={a,b,c,d,e,f} with P(a)=P(b)=P(c) and P(d)=P(e)=P(f)=0.1, find P(a).
Since P(a), P(b), and P(c) are equal, we can let P(a) = P(b) = P(c) = x.
Then, we know that P(d) = P(e) = P(f) = 0.1.
The total probability of the sample space S is equal to 1. So, we can write the equation:
P(a) + P(b) + P(c) + P(d) + P(e) + P(f) = 1
Substituting the given values, we get:
3x + 0.1 + 0.1 + 0.1 = 1
3x + 0.3 = 1
3x = 1 - 0.3
3x = 0.7
Dividing both sides by 3, we find:
x = 0.7/3
So, P(a) = 0.233.
10. If S={a,b,c,d,e,f} with P(a)=P(b)=P(c), P(d)=P(e)=P(f), and P(d)=2P(a), find P(a).
Let P(a) = P(b) = P(c) = x. And let P(d) = P(e) = P(f) = y.
We also know that P(d) = 2P(a).
Using the equation for the total probability:
P(a) + P(b) + P(c) + P(d) + P(e) + P(f) = 1
We can substitute the given values:
3x + 3y = 1
We also know that P(d) = 2P(a):
y = 2x
Substituting this into the previous equation:
3x + 3(2x) = 1
3x + 6x = 1
9x = 1
Dividing both sides by 9, we find:
x = 1/9
So, P(a) = P(b) = P(c) = 1/9.
11. If E and F are two disjoint events in S with P(E)=0.2 and P(F)=0.4, find P(E∪F), P(Ec), and P(E∩F).
Since E and F are disjoint, their intersection, E∩F, is empty.
The probability of the union of two disjoint events is the sum of their individual probabilities:
P(E∪F) = P(E) + P(F) = 0.2 + 0.4 = 0.6
The complement of E, Ec, is the event that consists of all outcomes in S that are not in E.
The complement of an event has a probability equal to 1 minus the probability of the event:
P(Ec) = 1 - P(E) = 1 - 0.2 = 0.8
Since E and F are disjoint, their intersection, E∩F, is empty, so its probability is 0:
P(E∩F) = 0
12. It is not possible for E and F to be two disjoint events in S with P(E)=0.5 and P(F)=0.7 because the sum of their probabilities would exceed 1.
Since the total probability of the sample space S must be equal to 1, it is not possible for two events with probabilities that add up to more than 1 to be disjoint.
13. If E and F are two disjoint events in S with P(E)=0.4 and P(F)=0.3, find P(E∪F), P(Fc), P(E∩F), P((E∪F)c), and P((E∩F)c).
Since E and F are disjoint, their intersection, E∩F, is empty.
The probability of the union of two disjoint events is the sum of their individual probabilities:
P(E∪F) = P(E) + P(F) = 0.4 + 0.3 = 0.7
The complement of F, Fc, is the event that consists of all outcomes in S that are not in F.
The complement of an event has a probability equal to 1 minus the probability of the event:
P(Fc) = 1 - P(F)
= 1 - 0.3
= 0.7
Since E and F are disjoint, their intersection, E∩F, is empty, so its probability is 0:
P(E∩F) = 0
The complement of the union of two events, (E∪F)c, is the event that consists of all outcomes in S that are not in the union of E and F.
The complement of an event has a probability equal to 1 minus the probability of the event:
P((E∪F)c) = 1 - P(E∪F) = 1 - 0.7 = 0.3
The complement of the intersection of two events, (E∩F)c, is the event that consists of all outcomes in S that are not in the intersection of E and F.
The complement of an event has a probability equal to 1 minus the probability of the event:
P((E∩F)c) = 1 - P(E∩F) = 1 - 0 = 1
14. It is not possible for S={a,b,c} with P(a)=0.3, P(b)=0.4, and P(c)=0.5 because the sum of their probabilities exceeds 1.
Since the total probability of the sample space S must be equal to 1, it is not possible for three events with probabilities that add up to more than 1 to form the sample space.
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55<35+10x
What is x less than
Hi!
55<35+10x
Move 35 to the left, using the opposite operation:
55-35<10x
20<10x
Divide both sides by 10:
2<x
Since 2 is greater than x, x is less than 2:
x<2 (Answer)
Hope it helps!
Enjoy your day!
~Misty~
When Mark was looking at his monthly utility payments, he noticed that one payment was significantly lower than all the others. Which of the following would be most affected by Mark's observation? The median, average, highest, most frequent monthly payment
Answer:
The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.
Step-by-step explanation: