Answer:
\(\frac{1}{5}\)
Step-by-step explanation:
In this question, we are not told the number of beads in the container so we can represent the beads as being 100%. Since there are 5 necklaces which the beads are being divided into, this means that 100% would be \(\frac{5}{5}\). Since the beads are being divided equally, then this would mean that each necklace would use \(\frac{1}{5}\) of the container, making each necklace contain the exact amount of beads.
Answer:
i dont know i'm sorry
Step-by-step explanation:
The ratio of jim's money to peter's money was 4:7 at first. after peter gave 3/14 of his
money to jim, they have equal amounts of money. how much money did jim have at first?
Let's say the ratio of Jim's money to Peter's money is 4:7, or 4/7. Let x be the amount of money Jim had at first. The amount of money Peter had at first can be expressed as 7/4 * x.
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
After Peter gave 3/14 of his money to Jim, they had equal amounts of money. This means that the amount of money Jim had at the end is equal to the amount of money Peter had at the end.
We can set up the equation x = 7/4 * x - 3/14 * (7/4 * x).
Multiplying through the parentheses on the right side of the equation, we get x = 7/4 * x - 21/28 * x.
Combining like terms, we get -21/28 * x + 7/4 * x = 0.
Solving for x, we get x = 0.
Since Jim's money at first can't be 0, the equation has no solution. This means that it is not possible for Peter to give 3/14 of his money to Jim and for them to have equal amounts of money.
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Shawna is a member of the swim team. She can swim 3 laps in 3 minutes
and 21 seconds. If Shawna swims at the same pace, how long would it take
her to swim 8 laps?
Answer:
8 minutes and 53 seconds
Answer:
8 minutes and 56 secondsStep-by-step explanation:
3 laps ⇒ 3 minutes and 21 seconds given1 lap ⇒ 1 minute and 7 laps divide by 3 8 laps ⇒ 8 minutes and 56 seconds multiply by 8Which of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply.
35 cm to 1 km
1 mm to 150 km
1 mm to 500 m
5 mm to 2.5 km
3 cm to 15 km
Answer:
E; 3cm to 15km
Step-by-step explanation:
1cm to 5km
NOT A:
35cm to 1km
×5
175cm to 5km
NOT B:
1mm to 150km
÷ 30
1/30mm to 5km
NOT C:
1mm to 500m
× 10
10mm to 5km
NOT D:
5mm to 2.5 km
× 2
10mm to 5km
E:
3cm to 15km
÷ 3
1cm to 5km
5) So far you have a MP3 Player with 0.5 GB of music already stored on the MP3 player and know that each song is about 0.002 GB of memory. What are the possible numbers of additional songs that you can put on the MP3 player if it holds at most 2 GB?
Answer: Any whole number between 0 and 750, including both endpoints.
One example could be 700 additional songs.
==================================================
Explanation:
x = number of additional songs, some nonnegative whole number
1 song takes up 0.002 GB, so x of them take up 0.002x GB of memory.
Add on the 0.5 GB already used to get the expression 0.002x+0.5 to represent the total amount of storage taken up. We want this expression to be 2 or smaller.
\(0.002x + 0.5 \le 2\\\\0.002x \le 2-0.5\\\\0.002x \le 1.5\\\\x \le 1.5/0.002\\\\x \le 750\\\\\)
This says the most songs we can add are 750.
Because x is the number of songs, it doesn't make sense to have x be negative. This means \(x \ge 0\) or \(0 \le x\) is the case as well.
Combining \(0 \le x\) and \(x \le 750\) produces the compound inequality \(0 \le x \le 750\)
The number of additional songs is any whole number between 0 and 750, including both endpoints.
The roster notation of this set could look like this: {0, 1, 2, ..., 748,749,750}
The triple dots indicate "keep this pattern going". That way we don't have to fill in all 751 values which would be a tedious process.
So you can add on something like 700 songs because it's between those endpoints mentioned, but cannot add something like 800 songs.
Answer:
0 - 750 additional songs
Step-by-step explanation:
current: 0.5 mb
remaining: 2-0.5=1.5 mb
each song: 0.002 gb
take remainig amount of space: 1.5 mb and divide by how much space each song takes: 0.002 mb to find out how many songs can fit in 1.5 mb of space
work:
(total amount of storage-used amount of storage)/storage per song
(2.0-0.5)/0.002
= 1.5/0.002
= 750 songs
what are the possible number of additional songs?
anything up until 750.
Can someone please help me with this problem?
Answer: 18/9 if not it's something along that-
Step-by-step explanation:
7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-
(x^3 − 3x^2 + 4) · (2x^3 + 3x^2 − 4x)
Answer:
2x^6 -3x^5 - 13x^4 + 20x^3 + 12x^2 - 16xStep-by-step explanation:
Multiplying and opening parenthesis
(x^3 − 3x^2 + 4) · (2x^3 + 3x^2 − 4x) =x^3(2x^3) + x^3(3x^2) - x^3(4x) - 3x^2(2x^3) -3x^2(3x^2) + 3x^2(4x) + 4(2x^3) + 4(3x^2) - 4(4x) =2x^6 + 3x^5 - 4x^4 - 6x^5 -9x^4 + 12x^3 + 8x^3 + 12x^2 - 16x =2x^6 -3x^5 - 13x^4 + 20x^3 + 12x^2 - 16xAnswer:
2x^6 - 3x^5 - 13x^4 + 20x^3 + 12x^2 - 16x
Step-by-step explanation:
(x^3 − 3x^2 + 4) · (2x^3 + 3x^2 − 4x)
~Distribute
x^3 * 2x^3 + x^3 * 3x^2 + x^3 * -4x - 3x^2 * 2x^3 - 3x^2 * 3x^2 - 3x^2 * -4 + 4 * 2x^3 + 4 * 3x^2 + 4 * -4x
~Apply rules of minuses and plus signs
2x^(3)x^(3) + 3x^(3)x^(2) - 4x^(3)x - 3 * 2x^(3)x^(2) - 3 * 3x^(2)x^(2) + 3 * 4x^(2)x + 4 * 3x^(2) - 4 * 4x
~Simplify
2x^6 - 3x^5 - 13x^4 + 20x^3 + 12x^2 - 16x
Best of Luck!
identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola. x 2 - y 2
The given equation x^2 - y^2 represents a hyperbola.
A hyperbola is a conic section that has two branches, and its equation is typically of the form (x-h)^2/a^2 - (y-k)^2/b^2 = 1 or (y-k)^2/b^2 - (x-h)^2/a^2 = 1. In this case, the equation x^2 - y^2 matches the general form of a hyperbola.
The equation x^2 - y^2 can also be written as (x - 0)^2/1^2 - (y - 0)^2/1^2 = 1, which represents a hyperbola centered at the origin with a horizontal transverse axis.
In summary, the equation x^2 - y^2 represents a hyperbola with a horizontal transverse axis.
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what is the underlying logic of the single sample t-test?
The single sample T test refers to the statistical study involving a test that is used to determine if a group is significant of a different type from a known population. the null hypothesis for this test is the ability to not leave any difference between the sample mean and the population means.
Hence, the underlying logic behind the single sample T test is that it enables to initiation of the comparison of the sample means to a known or unknown population and proceeds to determine if there is any difference between them that is statistically significant. It chooses standard errors to differentiate between the sample mean and the population means.
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how do you turn 11 over 5 into a decimal problem
Answer:
Just divide 11 by 5
Step-by-step explanation:
Which is 2.2
look at screenshot to see question
Find the vertex, focus, and the directrix of each parabola. y=x² +6 x+5
For the given parabola:
We have the following data.
Vertexv = (-3,-4)
Focusf = (-3, -3.75)
Directrixd = y = -4.25
We define what a parabola is
What is a parabola?The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.
The canonical equation of a parabola is given by
(x - h)² = 4p(y - k)
The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.
The parabola equation is:
y = x² + 6x + 5
y - 5 + 9 = x² + 6x + 9
y + 4 = x² + 2(3x) + 3²
y + 4 = (x + 3)²
This means that the vertex of this parabola is
v = (h, k)
v = (-3,-4)
4p = 1p = 1/4f = (-3, -4 + 1/4)
f = (-3, -3.75)
Directrixd = y = -4 - 1/4
d = y = -4.25
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Select the correct answer Which is the correct simplified form of the expression (4m-2n^8)^1/2 ———— 9m^-6 n^-8
Answer:
\(= \frac{2m^2n^8}{3}\)
Step-by-step explanation:
Given expression is
\((\frac{4m^{-2}n^8}{9m^{-6}n^{-8}} )^{\frac{1}{2}\)
The correct simplified form is shown below:-
From the above equation, we will simplify
we will shift \(m^{-6}\) to the numerator and we will use the negative exponent rule, that is
\(= (\frac{4m^{-2}n^8m^6}{9n^{-8}} )^{\frac{1}{2}\)
now we will shift the \(n^{-8}\) to the numerator and we will use the negative exponent rule, that is
\(= (\frac{4m^{-2}n^8m^6n^8}{9} )^{\frac{1}{2}\)
here we will solve the above equation which is shown below
\(= (\frac{4m^4n^{16}}{9}) ^\frac{1}{2}\)
So,
\(= (\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2} ^\frac{1}{2}\)
Which gives result
\(= \frac{2m^2n^8}{3}\)
Eduardo left the hardware store and drove toward the ferry office at an average speed of 32 km/h. Krystal left one hour later and drove in the same direction but with an average speed of 40 km/h. How long did Eduardo drive before Krystal caught up?
Eduardo drove for 4 hours before Krystal caught up to him.
Let's analyze the problem step by step. Eduardo left the hardware store and drove toward the ferry office at an average speed of 32 km/h. Krystal left one hour later
so Eduardo had a head start of 32 km/h × 1 hour = 32 km.
Since Krystal is driving in the same direction as Eduardo, she needs to catch up to him.
The relative speed between them is the difference in their speeds, which is 40 km/h - 32 km/h = 8 km/h.
we divide the distance (the head start) by the relative speed: 32 km / 8 km/h = 4 hours.
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The joining fee at the Gym is $100. After paying the initial fee, the monthly cost of $23. Write an equation in slope-intercept form for the total cost of a gym membership for one year.
Once done that, how much have you paid in 7 months?
If you do not want to spend over $500 on the gym, how many months can you go to the gym?
Answers:
1) The Total Cost Of A One Year Membership is $279.
Explanation:
1 Month = $23
12 Months = 23 * 12 = 279
2) In 7 Months You Would Have Paid $161.
Explanation:
1 Month = $23
7 Months = 23 * 7 = 161
3) If You Didn't Want To Spend More Than $500 You Would Last 1 Year And 8 Months (20 Months) And Would Cost You $460.
Explanation:
1 Month = $23
7 Months = $161
12 Months =$279
20 Months = $460
Hope This Helps!!
Lu Signing Out!
the table above shows the flavors of ice cream and the toppings chosen by the people at a party. each person chose one flavor of ice cream and one topping. of the people who chose vanilla ice cream, what fraction chose hot fudge as a topping?
As a result, 4/9 participants choose vanilla ice cream with hot fudge topping.
what is fraction ?A fraction is a number that symbolises a portion of a whole. It is written as two integers: the numerator, which is written above a line, and the denominator, which is written below the line. The denominator is the total number of equal parts in the whole, while the numerator is the number of equal parts that are being taken into account.
given
The chart indicates that a total of 20 partygoers selected ice cream and toppings. We must examine the intersection of the row for vanilla ice cream and the column for hot fudge topping in order to determine the percentage of persons who selected it. Four persons choose vanilla ice cream with hot fudge topping, according to the table.
The percentage of those who choose vanilla ice cream with hot fudge topping is as follows:
4 (consumers who selected vanilla ice cream with hot fudge topping) / 9 (consumers who did not) = 4/9
As a result, 4/9 participants choose vanilla ice cream with hot fudge topping.
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4(x + 3) ≤ 0 or x+1/4>3
Answer:
4x+12 ≤ 0 or 4x+1>3
4x ≤ -12 or 4x+1 > 3
x ≤-3 or x >1/2
what are the mean value and standard deviation of the number of projects not among these first 15 that are from the second section?
The mean (μ) of a hypergeometric distribution is given by: 8.181
The standard deviation (σ) of a hypergeometric distribution is given by:
1.644
Here, we have,
To find the mean value and standard deviation of the number of projects not among the first 15 that are from the second section, we need to calculate the probabilities for different numbers of projects from the second section.
Let's denote:
N1: Number of students in the first section (25)
N2: Number of students in the second section (30)
N: Total number of projects graded (15)
To calculate the probability of exactly 10 projects being from the second section, we can use the hypergeometric distribution.
The formula for the hypergeometric distribution is:
P(X = k) = (C(N2, k) * C(N1, N - k)) / C(N1 + N2, N)
Where:
X is the random variable representing the number of projects from the second section among the first 15 graded projects.
C(a, b) is the binomial coefficient, also known as "a choose b."
Using this formula, we can calculate the probability for X = 10:
P(X = 10) = (C(30, 10) * C(25, 15 - 10)) / C(55, 15)
Next, we can calculate the mean and standard deviation.
The mean (μ) of a hypergeometric distribution is given by:
μ = N * (N2 / (N1 + N2))
= 15 * (30 / (25 + 30) )
= 8.181
The standard deviation (σ) of a hypergeometric distribution is given by:
σ = √(N * (N1 / (N1 + N2)) * (N2 / (N1 + N2)) * ((N1 + N2 - N) / (N1 + N2)) )
= √(15 * (25 / (25 + 30)) * (30 / (25 + 30)) * (25+30 - 15 )/(25+30)) )
= 1.644
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complete question:
An Instructor Who Taught Two Sections Of Engineering Statistics Last Term, The First With 25 Students And The Second With 30, Decided To Assign A Term Project. After All Projects Had Been Turned In, The Instructor Randomly Ordered Them Before Grading. Consider The First 15 Graded Projects. (A) What Is The Probability That Exactly 10 Of These Are From The
An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 30, decided to assign a term project. After all projects had been turned in, the instructor randomly ordered them before grading. Consider the first 15 graded projects.
what are the mean value and standard deviation of the number of projects not among these first 15 that are from the second section?
26b. alarm clock life hack what is the probability that both the battery-powered alarm clock and smartphone clock do not fail?
The probability that your single battery-powered alarm clock works successfully when you need it is 99.5% and probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0.026%
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
a. The probability that a single battery-powered alarm clock works successfully is 1 minus the probability that it fails.
1 - 0.005 = 0.995 or 99.5%.
b. The probability that both the battery-powered alarm clock and the smartphone alarm clock fail is the product of their individual probabilities of failure.
0.005 x 0.052 = 0.00026 or 0.026%.
The probability that both of them do not fail is the complement of the probability that they both fail
1 - 0.00026 = 0.99974 or 99.974%.
Hence, the probability that your single battery-powered alarm clock works successfully when you need it is 99.5% and probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0.026%
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In a sequence of numbers, the first term is x and each term thereafter is twice the previous term. the fifth term is 160. what is the value of x ?
The value of x in sequence of number is 10.
Here, first term of sequence is x and each term there after is twice the previous term. Also Fifth term is 160.
What is geometric series?
Geometric series is an infinite series of the form:
\(a+ar+a r^{2} +ar^{3} +..........\)
where r is known as common ratio.
Now, first term is x and each term there after is twice the previous term.
So the series will be;
x , 2x , 4x , 8x, ..........
Clearly this series is geometric series with common ratio 2.
And the nth term of geometric series is \(ar^{n-1}\)
⇒ fifth term is 160
\(ar^{5-1} = 160\\ar^{4} = 160\\a 2^{4} =160\\a=\frac{160}{16} \\a=10\)
Here, first term is x.
The value of x in sequence of number is 10.
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5x + 2(-3x) = *
A)-11x
B) -x
C) -x^2
D) 11x
Answer:
B) -x
Step-by-step explanation:
distribute the 2 to -3x to get 5x + (-6x)
combine terms to get -x
I really need help with this 2 part math question, if anyone can help me, It is greatly appreciated and you will be marked brainiest!!
Answer:
a)
\( - 2( - 4) ^{n - 1} \)
b) 32768
Explanation:
The sequence is an exponential sequence and therefore has the relation
ar^n-1
where
a = first term = -2
r = common ratio = -32 ÷ 8= 128 ÷ -32 = -4
n = number of term
relation= -2(-4)^n-1
b) -2(-4)^8-1
= -2(-4)^7
= -2(-16384)
= 32768
Answer:
Please mark me brainiest.
Step-by-step explanation:
a) The given sequence -2, 8, -32, 128, ... can be expressed as follows:
t1 = -2
t2 = -2 * (-4) = 8
t3 = 8 * (-4) = -32
t4 = -32 * (-4) = 128
...
We can see that each term is obtained by multiplying the previous term by -4. Therefore, we can write the recurrence relation as:
tn = -4 * tn-1
b) To find the value of t8, we can use the recurrence relation:
t8 = -4 * t7
We can then use the recurrence relation repeatedly to find t7, t6, t5, and so on, until we reach t1:
t7 = -4 * t6
t6 = -4 * t5
t5 = -4 * t4
t4 = -4 * t3
t3 = -4 * t2
t2 = -4 * t1
t1 = -2
Substituting the values obtained for each term, we get:
t2 = -4 * t1 = -4 * (-2) = 8
t3 = -4 * t2 = -4 * 8 = -32
t4 = -4 * t3 = -4 * (-32) = 128
t5 = -4 * t4 = -4 * 128 = -512
t6 = -4 * t5 = -4 * (-512) = 2048
t7 = -4 * t6 = -4 * 2048 = -8192
t8 = -4 * t7 = -4 * (-8192) = 32768
Therefore, the value of t8 for the given sequence is 32768.
If 1 rabbit saw 9 elephants while going to the river, every elephant saw 3 monkeys going toward the river. Each monkey had 1 parrot in each hand. How many animals are going towards the river?
In total, there are 37 animals going towards the river. This includes 1 rabbit, 9 elephants, 27 monkeys, and 108 parrots.
According to the given information, 1 rabbit saw 9 elephants while going to the river. So, we have 1 rabbit and 9 elephants.
Each elephant saw 3 monkeys going toward the river. Since there are 9 elephants, we can multiply 9 by 3 to find the total number of monkeys. That gives us 27 monkeys.
Finally, it is mentioned that each monkey had 1 parrot in each hand. If we have 27 monkeys, we can multiply that by 2 (since each monkey has 1 parrot in each hand) to get the total number of parrots. That gives us 54 parrots.
Therefore, the total number of animals going towards the river is the sum of the rabbit, elephants, monkeys, and parrots. Adding them up, we get 1 + 9 + 27 + 54 = 91 animals.
In conclusion, there are 37 animals going towards the river. This includes 1 rabbit, 9 elephants, 27 monkeys, and 108 parrots (since each monkey has 2 parrots).
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7. A farmer plants 987 apple trees in
9 rows. Can each row have the same
number of trees? How do you know?
Answer:
No because you can split a tree
Step-by-step explanation:
How is the slope related to a unit rate?
The unit rate, which is a constant between the ratio of two numbers that vary concurrently, can also be used to refer to the slope. Slope follows the same rule.
How is the slope related to a unit rate?As long as the rise/run along the line remains constant, the slope between any two places on a straight line will always be the same.
A linear relationship grows or shrinks at a constant rate of change, similar to a proportional relationship. This is known as the constant of proportionality in a relationship. It can also be referred to as the slope or unit rate in a linear connection. The slope of a line said to be its steepness.
Like the proportionality constant, the slope shows how quickly an amount is rising or falling. The only difference between the slope and the constant of proportionality is that the relationship need not begin at 0. Mathematicians frequently substitute the term slope or unit rate for the proportionality constant.
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i need help! do i subtract the 45-64? or add!?
Answer:
19°
Step-by-step explanation:
180-64=116
116+45=161
180-161=19
Answer:
B) 19
Step-by-step explanation:
find the other angle of W first.
to do that, take 180 - 64
that makes angle W 116
add angle W and angle Y
116 +45 = 161
take 180 - your answer
180 - 161 = 19
B is your answer
have a wonderful day <3
What is the solution to 4 x + 6 less-than-or-equal-to 18?
help
<3
Answer:
x is less-than-or-equal to 3
Step-by-step explanation:
4(3)+6 =18
use the series to approximat the definite integral to within the indicated accuracy tan^-1(x)
The series expansion of \(tan^{(-1)}(x)\) can be used to approximate the definite integral of the function over a given interval.
∫\([a, b] tan^{(-1)}(x) dx\)=∫\(= [a, b] (x - (x^3)/3 + (x^5)/5 - (x^7)/7 + ...)\)
To approximate the definite integral of tan^(-1)(x) using a series, we can use the Taylor series expansion of the arctangent function. The Taylor series expansion of tan^(-1)(x) is given by:
\(tan^{(-1)}(x) = x - (x^3)/3 + (x^5)/5 - (x^7)/7 + ...\)
The accuracy of the approximation depends on the number of terms used in the series. The more terms included, the more accurate the approximation will be.
Let's say we want to approximate the definite integral of tan^(-1)(x) over the interval [a, b]. We can rewrite the integral as the limit of a series:
To approximate the integral, we can truncate the series after a certain number of terms and integrate each term individually over the interval [a, b]. Then, we sum up the results of each term to get the approximate value of the integral.
The accuracy of the approximation can be improved by including more terms in the series or by decreasing the interval [a, b] to a smaller subinterval.
It's important to note that the accuracy of the approximation depends on the choice of interval [a, b] and the number of terms used in the series. The more terms included and the smaller the interval, the more accurate the approximation will be.
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Plz help me out thanks
Answer:
the full answer is 215.859885inches cubed
Step-by-step explanation:
times the length, width and height together
1
21 points
Define each sequence as Geometric (common ratio r), Arithmetic (common difference d), or Neither.
-25,-18,-11,-4
Answer:
Its an Arithmetic progression
Step-by-step explanation:
d1= -18-(-25)= 7
d2= -11-(-18)= 7
d1 = d2
r1 = -18/25=0.72
r2 = -11/-8= 0.611
r1 isnt = r2
what is the mean of this set {6,7,9,9,9}
Answer:
8
Step-by-step explanation:
To find the mean, or average of a data set, add all the values together, then divide by the number of values.
The data set is: 6,7,9,9,9
1. Add all the values
Add 6,7,9,9 and 9
6+7+9+9+9
40
2. Divide by the number of values
Count how many numbers are in the data set. In this case, there are 5 numbers.
Divide 40 by 5.
40/5
8
The mean of the data set is 8.
Steps:
Mean x: 8
Median x: 9
Mode: 9
Range: 3
Minimum: 6
Maximum: 9
Count: 5
Sum: 40
1: 6+7+9+9+9
2: =40
3: 40 divided by 5
4: = 8
Description:
The mean for this set is 8. We know this because when we add all the numbers = 40 then divided it by 5 = 8.
5 is the total numbers there
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Hope this helps.