Answer: 6
Explanation: The mean of a data set is the sum of the numbers in the data set divided by however many numbers are in the data set.
So, let's begin by adding the numbers.
So we have 3 + 2 + 2 + 12 + 6 + 5 + 14 + 4 which is 48.
Now we divide 48 by the number of numbers in the set which is 8.
48 ÷ 8 is 6.
So the mean of the given data set is 6.
In a learning experiment 4 group of students made the following numbers of correct responses in a series of 10 trials
Answer:
ummmmmmmm, there is no picture or real question from what I can see
If x varies directly as y, find x when y = 8 a) x = 6 when y = 32 b) x = 14 when y = -2
a) The value of x is 42.6 when k =16/3 is directly proportional to y.
b) The value of x is -56 when k is -7 is directly proportional to y.
What kind of variation is one where x and y are directly proportional?
If x = ky for some constant k can be used to indicate the relationship between the variables y and x, then we may say that y varies directly with y or that x is directly proportional to y.x varies directly as y
x α y
x = ky
a) x=6 ; y = 32
x = ky
6 = k(32)
k = 16/3
if y = 8
then,
x = (16/3) * 8
= 128/3
x = 42.6
Hence, the value of x is 42.6 when k =16/3 is directly proportional to y.
b) x= 14 and y = -2
x = ky
14 = k(-2)
k = -7
if y = 8
then,
x = ky
x= (-7) 8
x = -56
Hence, the value of x is -56 when k is -7 is directly proportional to y.
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For the following equation, find three ordered pair solutions by completing the table. Then use the ordered pairs to graph the equation.
y = - 4x + 8
The graph of the linear equation can be seen in the image below.
How to complete the table?
Here we have the linear equation:
y = -4x + 8
And we want to find 3 ordered pairs, to do so, we need to evaluate x in different values.
if x = 0 then:
y = -4*0 + 8 = 8
So we have the ordered pair (0, 8).
if x = 1 then:
y = -4*1 + 8 = 4
Then we have the ordered pair (1, 4)
If x = 2 then:
y = -4*2 + 8 = 0
Then we have the ordered pair (2, 0).
Now that we have these 3 ordered pairs, we can graph them in a coordinate axis and then connect them with a line, we will get something like the graph below.
That is the graph of our linear equation:
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Round the fraction 5 2/7 to the nearest whole number?
Answer:
0
Step-by-step explanation:
Fraction to Nearest Whole Number
Here we will show you step-by-step how to get the solution to: "What is 5/27 rounded to the nearest whole number?"
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
5 / 27 = 0.1
Then, we round to the nearest whole number using the following rules:
If the number to the right of the decimal point is .5 or higher, then add 1 to the left of the decimal point.
If the number to the right of the decimal point is less than .5, then leave the number to the left of the decimal point as is and remove the digit to the right of the decimal point.
.4 is less than .5. Thus, we leave the number to the left of the decimal point as is and remove the digit to the right of the decimal point.
5/27 rounded to the nearest whole number is therefore:
0
North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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Given: 2(10 - 13x) + 9x = -34x + 60. Step 1: 20 – 26x + 9x = -34x + 60. Step 2: -17x = -34x + 40 Step 3: 17x = 40 Step 4: X = 40/17. Justify each step of the solution by stating the property that was used to get to each step. ( Please only answer if you truly know how to. Will Mark Brainliest).
The properties applied in the steps are distributive property, additive property and the division property
How to determine the property used in each step?The equation is given as
2(10 - 13x) + 9x = -34x + 60.
This means that preliminary step is
Given: 2(10 - 13x) + 9x = -34x + 60.
Next, we apply the distributive property
So, we have
Step 1: Apply the distributive property
20 – 26x + 9x = -34x + 60.
Next, we evaluate the like terms
So, we have
Step 2: Evaluate the like terms
-17x = -34x + 40
Next, we evaluate the like terms
So, we have
Step 3: Evaluate the like terms
17x = 40
Lastly, we apply the division property of equation
So, we have
Step 4: Division property of equation
X = 40/17.
Hence, the properties applied in the steps are distributive property, additive property and the division property
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Solve for j I will give brainlest anwser
(h-4) / j = k
Answer:
j=h-4/k this is the answer if you are solving for j
Step-by-step explanation:
whats 5x5? Maybe will mark brainiest
Answer:
25
Step-by-step explanation:
5x5 = 25
Answer:
25
Step-by-step explanation:
Let's go through our times tables really quick!
5x1 = 5 (5 + 0)
5x2 = 10 (5 + 5)
5x3 = 15 (5 + 5 + 5 [10 + 5])
5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)
As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5
So, 5x5 is 25
Hope this helped!
In the figure, O is the centre of a circle passing through points
A, B, C and D and ADC = 120
Find the value of x.
Answer:
30 degrees
Step-by-step explanation:
The computation of the value of x is given below:
Given that
ADC = 120 degrees
So ABC = 60 degrees
As the sum of the opposite angles are 180 degrees
And ACB = 90 degrees
Now in Triangle ADC
Angle ACB + Angle ABC + x = 180 degrees
90 + 60 + x = 180
x = 30 degrees
Evaluate the expression for s = 10, t = –2, and u = 9.
t2u + s = ?
Answer:
46
Step-by-step explanation:
You want to evaluate the expression t²u+s for t=-2, u=9, s=10.
Evaluating an expressionPut the numbers in the places of the corresponding variables, and do the arithmetic.
(-2)²·9 +10 = 4·9 +10 = 36 +10 = 46
The value of the expression is 46.
PLEASE HELP WILL GIVE BRAINLIEST
What is the surface area of a cube with side length 3/2 units?
Answer:
Surface area = 13.5 unit square.
Step-by-step explanation:
We have given the side length of cube = 3/2 units
Now we have to find the surface area of the cube by using the given information. Therefore we must use the below formula to find the surface area. the formula is as follows:
Surface area = 6 (side)^2
Now plug the given information in the formula.
Surface area = 6 (3/2)^2
Surface area = 13.5 unit square.
I am having trouble with this question.
Answer:
x=12√2
y=45°
Step-by-step explanation:
as we know diagonal of a square
=a√2
=12√2
and
y=45°
Solve for x. 8x = 35
Answer:
\(x = \frac{35}{8} \)
Step-by-step explanation:
Divide both sides by 8:
\( \frac{8x}{8} = \frac{35}{8} \\x= \frac{35}{8} \)
Round to the nearest tenth, then find the sum. 35.26 + 8.32 + 6.78 i will give 12 points pleas help me in in a test
Answer:
Step-by-step explanation:
35.26 rounded to 35.3
8.32 rounded to 8.3
6.78 rounded to 6.8
35.3 + 8.3 = 43.6
43.6 + 6.8 = 50.4
The answer is 50.4.
39.26 rounds to 35.3
8.32 rounds to 8.3
6.78 rounds to 6.8
When you add them together, you get 50.4.
Brian is going camping and. is making a tent from fabric. How much fabric will he need? 6 ft. 12.5 ft. 8.5 ft.
Answer and explanation:
Depending on the type and size of tent you wish to make, an average tent should consume more than 12.5ft of fabric. You would require more than 10 yards of fabric to make a small tent that an adult human being can fit in.
1 yard = 3 ft
And so you would require about 30 ft of fabric to make your tent. Therefore the options listed may not be enough fabric to make a tent
Which statement best explains the relationship
between lines AB and CD?
a. They are parallel because their slopes are equal.
b. They are parallel because their slopes are negative
reciprocals.
c. They are not parallel because their slopes are not
equal.
d. They are not parallel because their slopes are
negative reciprocals.
Answer:
A) they are parallel because their slopes are equal.
Step-by-step explanation:
Parallel means that their slopes are equal
If they were negative reciprocals they would be perpendicular.
Which probability indicates that an event is not likely to occur?
14
12
34
1
Answer:
its 14 or 1/4 as you said | if it is not fractions and is whole numbers it is 1
Step-by-step explanation:
1/4 is the smallest value out of all of them, making it the least probable to happen
if they are not fractions, it is 1 because that is the smallest value, making it the least probable
hope this helped!
Answer:
Step-by-step explanation:its 1/4
I need help please ASAP ?!!!!!!!
Answer:
B
Step-by-step explanation:
B because the number line goes from negative 6, -2, and x must be greater than negative 6 but less than or equal to 2
1. For any integer x, x²-x will always produce an even value. True or false?
For any integer x, x²-x will always produce an even value is TRUE in all sense.
As per the question statement, we are given an expression \(x^{2} -x\) and asked about the validation of the statement, "For any integer \(x\), \(x^{2} -x\) will always produce an even value.
Lets first take a positive value say \(x=3\), which is an integer also
\(x^{2} -x\\=3^{2} -3\\=9-3\\=6\)
which is an even number.
Now lets take a negative value say \(x=-7\), which is an integer also
\(x^{2} -x\\=7^{2} -7\\=49-7\\=42\)
which is an even number also.
Hence the statement "For any integer x, x²-x will always produce an even value" is TRUE in all sense.
Integer: Set of whole numbers that can be positive, negative and zero as well.Even number: Any number divisible by number 2 is an even number e.g., 2, 4, 6, 8, 0To know more about integers, click on the link given below:
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Find the inverse of f restricted to this domain f ( x ) = ( x − 6 ) 2 f ( x ) = ( x - 6 ) 2
Answer:
The inverse of f is x=8
Step-by-step explanation:
I did it
Select the correct symbol.
0.88 ? 0.178
A.
Answer:
<
Step-by-step explanation:
0.88 = 88%
0.178 = 17.8%
Therefore, 0.178 < 0.88
If f(-2) = a and (f • g) (-2) = 2a^2, which of the following is g (-2)?
Answer: \(g(-2)=2a\)
Step-by-step explanation:
\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)
The function g(-2) from the given functions is 2a.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(-2)=a and (f·g)(-2)=2a².
Here, (f·g)(-2)=2a²
f(-2)·g(-2)=2a²
a·g(-2)=2a²
g(-2)=2a²/a
g(-2)=2a
Therefore, the function g(-2) is 2a.
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Which expression represents the
number of reams of paper the company
produced during the second year?
The expression that represents the number of reams of paper the company produced during the second year is 4.704 × 10¹⁰. The correct option is D. 4.704 × 10¹⁰
Writing an ExpressionFrom the question, we are to determine the expression that represents the number of reams of paper the company produced during the second year
From the given information,
During the first year of operation,
The company produced 8.4 × 10⁹ reams of paper
And
During the second year,
the company produced 5.6 times the number of reams of paper that it produced during the first year.
Thus,
The number of reams of paper the company produced during the second year = 5.6 × 8.4 × 10⁹ reams of paper
The number of reams of paper the company produced during the second year = 47.04 × 10⁹ reams of paper
= 4.704 × 10¹ × 10⁹ reams of paper
= 4.704 × 10¹⁰ reams of paper
Hence, the expression that represents the number of reams of paper the company produced during the second year is 4.704 × 10¹⁰. The correct option is D. 4.704 × 10¹⁰
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x^2-x=12 what is one of its solutions
Answer:
One of it solution is -3.Step-by-step explanation:
x²-x=12= x²-x-12=0= x²+3x-4x-12=0= x( x+3)+3(x-4)=0= x+3=0 or x-4=0= x = -3 or x=4
George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George weigh?
Easy Algebra question!
Let's use "x" as a variable.
The equation would be x+x+60 = 240 with "x" being George's weight.
Subtract 60 from both sides and you get 2x = 180.
From there you divide both sides by 2, getting x=90.
"x" is George's weight, so he weighs 90 pounds.
ANSWER: 90 POUNDS
The weight of George is 90 pounds and the weight of George's brother is 150 pounds.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
George weighs 60 pounds less than his older brother.
Together they weigh 240 pounds.
Let George weigh be x and his brother weigh be y.
x + y = 240 ...1
x = y - 60 ...2
Then from equations 1 and 2, we have
2x = 180
x = 90
Then y will be
y = 90 + 60
y = 150
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solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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Please someone help me
Answer:
C) <BAC ≈ <QPR and BC ≈ QR
Step-by-step explanation:
C) <BAC ≈ <QPR and BC ≈ QR
The population of a bacteria colony is growing exponentially, doubling every 6 hours. If there are 150 bacteria currently present, how many (to the nearest ten bacteria) will be present in 10 hours
Answer:
If rounded to the nearest 10 bacteria, then it would be 500 bacteria.
Step-by-step explanation:
First multiply 150 by two in order to get 300, that leaves 4 hours to figure out. From there you can figure out the rest by seeing that 4 is 2/3 of 6. I converted it into the decimal number .66. Multiply 300 by .66 to get 198 and then add it to 300 to get 498. Then just round it up to the nearest 10 bacteria which leaves you with the final answer of 500 bacteria.
Use the graph to answer the question. Graph of polygon ABCDE with vertices at 0 comma negative 4, 0 comma negative 2, 4 comma negative 2, 4 comma negative 4, 2 comma negative 6. A second polygon A prime B prime C prime D prime E prime with vertices at 12 comma negative 4, 12 comma negative 2, 8 comma negative 2, 8 comma negative 4, 10 comma negative 6. Determine the line of reflection. Reflection across the x-axis Reflection across the y-axis Reflection across y = −4 Reflection across x = 6
In this case, the line of reflection is the x-axis. (Option A)
How is this so?The first polygon's coordinate is (1,-1) while the second polygon's coordinate is (1,-1). (1,-6).
The translation is 5 units down because the y-coordinate difference is 5 units. The second coordinates of the two polygons are (3,-5) and (3,-10). The translation is 5 units down because the y-coordinate difference is 5 units.
The third coordinates of the second polygon are (7,-5) and (7,-10). The translation is 5 units down because the y-coordinate difference is 5 units. The fourth coordinate of both polygons (5,-1) is (5,-1). The translation is 5 units down because the y -coordinate difference is 5 units.
The picture was translated 5 units lower, 5 units higher, 1 unit lower, and 1 unit higher.
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Full Question:
Use the graph to answer the question. Graph of polygon ABCDE with vertices at 0 , - 4, 0 , - 2, 4 , - 2, 4 , - 4, 2 , - 6.
A second polygon A prime B prime C prime D prime E prime with vertices at 12 , - 4, 12 , - 2, 8 , - 2, 8 , - 4, 10 , - 6. Determine the line of reflection. Reflection across the x-axis Reflection across the y-axis Reflection across y = −4 Reflection across x = 6
Determine the line of reflection.
Reflection across the x-axis
Reflection across the y-axis
Reflection across y = −4
Reflection across x = 6