Answer:
2/3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
plzz help if right i give brainliest
Answer:
b. (x+6)(x-6)
Step-by-step explanation:
x^2-36 So to get to this answer you can do two things
1. Guess and check
2. Factor it out (which is what I like to do)
In order to get x^2 you need 2xs that are positive which knocks out c and d
Then to get to -36, you need to multiply a positive 6 and a negative 6
(This was poorly explained but if you need anymore help just lmk)
x = 3y + 18
5x+4y = -5
X =
y = 0
010
X
5
Answer:
Step-by-step explanation:
x = 3y + 18
5x+4y = -5
X =
y = 0
010
X
5
Which equation shows the ASSOCIATIVE property?
Question 3 options:
6 - 9 + 5 = 6 - (-9) + 5
(6 + (-9) + 5) = (6 + 5) + (-9)
-9 + (6 + 5) = -9 - 6 - 5
(6 + (-9)) + 5 = 6 + (-9 + 5)
Answer:
69............ I see 69
Step-by-step explanation:
In a Chi-Square test, which of the following is NOT true? If the chi squared test statistic is large, the P-value will be small. Samples are drawn from different populations and we wish to determine whether these populations have the same proportions of the characteristics being considered. Small values of the chi squared test statistic would lead to a decision to reject the null hypothesis. The null hypothesis is that the different populations have the same proportions of specified characteristics.
The statement that is NOT true in a Chi-Square test is "Small values of the chi squared test statistic would lead to a decision to reject the null hypothesis."
This is because if the test statistic is small, it means that the observed values are close to the expected values, and there is no significant difference between the populations. Therefore, a small test statistic would lead to a failure to reject the null hypothesis. In a Chi-Square test, we compare the proportions of specified characteristics in different populations, and we wish to determine whether they are the same or not. If the test statistic is large, it means that the observed values are significantly different from the expected values, and we have evidence to reject the null hypothesis. Finally, the P-value will be small if the test statistic is large, indicating strong evidence against the null hypothesis.
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A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
7² x 12² = 49 + 144 = 193
√193= 13.89
The midpoint of the line segment from P4 to P2 is (-5,1). If P1 = (-7,9), what is P2?
Let A(2,0),B(0,92)
Let A(2,0),B(0,92)and let mid-point be C(1,3p)
Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C
Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞
Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)
Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate
Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91
Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31
Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)
Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)
Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)Putting (−1,1) in line
Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)Putting (−1,1) in line5x+3y+2=0
Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)Putting (−1,1) in line5x+3y+2=0⇒5(−1)+3(1)+2=0
Work out the difference between 38.3 and 1.72
Answer:
36.58
Step-by-step explanation:
38.3-1.72=36.58
The value of the expression 38.3 - 1.72 will be 36.58.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
38.3 and 1.72
Then the difference between the numbers 6 and 1/3 will be given by putting a minus sign between them. Then we have
⇒ 38.3 - 1.72
⇒ 36.58
The value of the expression 38.3 - 1.72 will be 36.58.
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You are superintendent of public schools and have conducted a study to investigate whether the reading proficiency of high school seniors living in your city is higher than the national norm. A random sample of one high school senior from this population had a reading score of 78. National norms of reading proficiency for high school seniors show a normal distribution of scores with a mean of 76 and a standard deviation of 1.2. Use a 5% significance level. What cutoff score(s) should be used
The cutoff score for determining higher reading proficiency would be 76 (national mean score) as the cutoff point. Any score above 76 can be considered higher than the national norm.
To determine whether the reading proficiency of high school seniors in your city is higher than the national norm, we can conduct a hypothesis test using the given information. Here are the steps to follow:
State the hypotheses:
The null hypothesis (H0) assumes that the reading proficiency of high school seniors in your city is not higher than the national norm.
The alternative hypothesis (H1) assumes that the reading proficiency of high school seniors in your city is higher than the national norm.
H0: μ ≤ 76 (population mean reading score is less than or equal to the national mean)
H1: μ > 76 (population mean reading score is greater than the national mean)
Determine the significance level:
The significance level (α) is given as 5%, which means we can reject the null hypothesis if the probability of observing the given data is less than 5%.
Calculate the z-score:
To compare the sample reading score of 78 with the national norm, we need to calculate the z-score using the formula:
z = (x - μ) / σ
Where:
x = Sample mean (78)
μ = Population mean (76)
σ = Population standard deviation (1.2)
Substituting the values into the formula:
z = (78 - 76) / 1.2
z = 2 / 1.2
z = 1.67
Find the critical value:
Since our alternative hypothesis is one-tailed (μ > 76), we need to find the critical value from the z-table corresponding to a 5% significance level in the right tail.
Looking up the z-table, we find that the critical z-value for a 5% significance level is approximately 1.645.
Compare the z-score with the critical value:
If the calculated z-score is greater than the critical value, we can reject the null hypothesis; otherwise, we fail to reject it.
In this case, the calculated z-score is 1.67, which is greater than the critical value of 1.645.
Make a decision:
Since the calculated z-score is greater than the critical value, we can reject the null hypothesis.
Conclusion:
Based on the sample reading score of 78 and the given information, there is sufficient evidence to conclude that the reading proficiency of high school seniors in your city is higher than the national norm at a 5% significance level.
In summary, the cutoff score for determining higher reading proficiency would be 76 (national mean score) as the cutoff point. Any score above 76 can be considered higher than the national norm.
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find the rate of change of a circle diameter with respect to radius.
The rate of change of the circle diameter with respect to the radius is a constant value of 2.
The diameter of a circle is twice the radius, so we can write:
Diameter = 2 * Radius
To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:
diameter/d(radius) = d(2 * radius)/d(radius)
The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:
diameter/d(radius) = 2
Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.
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What is the sum?
−3 1/4+(−4 2/5)
pls answer quick
Answer:
To find the sum of the two fractions, we first need to express them in a common denominator. Since the denominators of the two fractions are different, we will need to find the least common multiple (LCM) of the two denominators.
The LCM of 4 and 5 is 20, so we can express the two fractions in terms of 20 as follows:
-3 1/4 = -3 5/20
-4 2/5 = -4 8/20
Now that the two fractions have a common denominator, we can add them by adding the numerators and keeping the denominator the same:
(-3 5/20) + (-4 8/20) = (-3 + -4) 13/20 = -7 13/20
Therefore, the sum of the two fractions is -7 13/20.
The sum of −3 1/4 + (−4 2/5) is 7.65
Now, what is mixed fraction?Mixed fractions are type of a fraction which includes a whole number and a fraction.
So, any improper fraction can be written as a mixed fraction. Quotient will be the whole number and in the fractional part, numerator is the remainder and denominator will be the divisor.
[−(3 1/4)] + [−(4 2/5)] = [-(13/4)] + [-(22/5)]
When cross multiplying, we will get
-(13/4 + 22/5) = -(65 + 88)/20 = -153/20 = 7.65
Hence, the sum of −3 1/4 + (−4 2/5) is 7.65.
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John owns a concession stand where he sells drinks and snacks. He purchases each drink for $0.50 and sells it for $1.25. Let P be the profit John makes selling x sodas.
Which explanation is the correct interpretation of P(16) = 12?
A. When John sells 12 drinks, he makes a profit of $12.
B. When John sells 12 drinks, he makes a profit of $16.
C. When John sells 16 drinks, he makes a profit of $12.
D. When John sells 16 drinks, he makes a profit of $16.
Answer:The required profit john makes selling x sodas is 1.25x-0.50.
Step-by-step explanation:
According to given question we haveLet the selling price of sodas be xLet the profit be PEach drink cost(C.P) = $0.50S.P=$1.25By the use of profit and loss we getprofit =S.P-C.Pp=1.25x-0.50Therefore, the required profit john makes selling x sodas is 1.25x-0.50.Learn more details about profit and loss
The perimeter of a square Is 176 centimeters. If the square is dilated by a scale factor of 0.75, what is the length of each side of the new square?
Answer: The answer is a decimal.
Step-by-step explanation:
Need help with this question! :)
Answer:
13 i think
Step-by-step explanation:
Use the definition of Taylor series to find the Taylor series (centered at c ) for the function. f(x)=e 4x
,c=0 f(x)=∑ n=0
[infinity]
The answer is , the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:
\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)
The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.
The Taylor series of a function f(x) centered at c is given by the formula:
\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)
Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:
\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)
\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)
Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:
\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)
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The Taylor series for f(x) = e^(4x) centered at c = 0 is:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:
f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...
First, let's find the derivatives of f(x) = e^(4x):
f'(x) = d/dx(e^(4x)) = 4e^(4x)
f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)
f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)
Now, let's evaluate these derivatives at x = c = 0:
f(0) = e^(4*0) = e^0 = 1
f'(0) = 4e^(4*0) = 4e^0 = 4
f''(0) = 16e^(4*0) = 16e^0 = 16
f'''(0) = 64e^(4*0) = 64e^0 = 64
Now we can write the Taylor series expansion:
f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...
Substituting the values we found:
f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...
Simplifying the terms:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
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In the figure, and bisect each other. The length of is 12 centimeters and the length of is 11 centimeters. The length of is centimeters and the length of is centimeters.
HURRY LAST QUESTION ON TEST!!!
Answer:
11 and 12
Step-by-step explanation:
AD is opposite BC so they're equal, and DC is opposite AB so they're the same.
Answer:
11, 12
Step-by-step explanation:
plato answer just took test
Please help me with this question.
Khan academy- dilate triangles
Answer:
Step-by-step explanation:
Think of it this way. On a coordinate plane if you write out all your values you have (this is an example) such as (0,0) (0,2) (1,2) and want to dilate it by a scale factor of 4 you are multiplying each value meaning x + y by positive 4.
These would become my new coordinates:
(0*4, 0*4) = (0,0)
(0*4, 2*4) = (0, 8)
(1*4, 2*4) = (2, 8)
In this case the same thing is happening to the figure meaning it is getting larger instead of smaller since the scale factor is not negative. I can't see the rest of the answers to give you the answer you're looking for but I hope that this helps you look at dilating and scale factor differently rather than something more complex :)
Answer:
(0*4, 0*4) = (0,0)
(0*4, 2*4) = (0, 8)
(1*4, 2*4) = (2, 8)
Step-by-step explanation:
.
Suppose that X and Y are random variables and that X and Y are nonnegative for all points in a sample space S. Let Z be the random variable defined by Z(s) = max(X(s), Y (s)) for all elements s â S. Show that E(Z) ⤠E(X) + E(Y).
For the Random variables, X and Y where both are nonnegative for all points in a sample space S. The expected value of Z ( random variable) is, E(Z) = E(X) + E(Y).
We have X and Y are random variables and that X and Y are non-negative for all points in a sample space S. Let us consider X be another random variable defined as Z(s) = max( X(s), Y(s))
for all elements s belongs to S. We have to show that E( Z) = E(X) + E(Y)
Now, for simple way of representation let
Max ( X(s),Y(s)) = Max(X,Y)
We know that Max(X,Y) = [(X+Y) + |X-Y|]
So, Z = Max(X,Y) = [(X+Y) + |X-Y|]
Taking expectations E(Z) = E(Max(X,Y)
= E{[(X+Y) + |X-Y|]}
\(E(Z)= \frac{1}{2} [E(X+Y) + E|X-Y|] = [E(X) + E(Y) + E|X-Y|] \\ \) (Since E(X + Y) = E(X)+ E(Y))
\(E(Z) = \frac{1}{2}[E(X)+ E(Y) + E|X| + E|-Y|]\\ \)
\(= \frac{1}{2} [E(X) + E(Y) + E(X) + E(Y)]\) (Since X and Y are non negative so E|X| = E(X) and E(-Y)=E(Y) )
=> E(Z) = E(X)+ E(Y)
Hence, required results occurred.
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if x and y satisfy the following equations, what is the value of x+y?
4x + 5y = 9
9x + 1y = 10
If x and y satisfy the system of equations 4x + 5y = 9 and 9x + 1y = 10, then the value of (x + y) is 2.
Given the system of the linear equations are
4x + 5y = 9 ................. (i)
9x + y = 10 ............... (ii)
Now multiplying 5 with equation (ii) we get,
5(9x + y) = 5*10
45x + 5y = 50 ..................... (iii)
Subtracting equation (i) from equation (iii) we get,
(45x + 5y) - (4x + 5y) = 50 - 9
45x + 5y - 4x - 5y = 41
41x = 41
x = 41/41 = 1
Substituting x = 1 in equation (i) we get,
4 * 1 + 5y = 9
4 + 5y = 9
5y = 9 - 4 = 5
y = 5/5 = 1
So the solutions are x = 1 and y = 1.
Hence the value of x + y = 1 + 1 = 2.
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Solve: log 3x = log 2 + log (x - 1) O a. -2 O b. 2. Oc. - 2/5 O d. 1/2
The solution to the equation is (a) -2.
What is the value of x that satisfies the given equation?To solve the equation log(3x) = log(2) + log(x - 1), we can use the properties of logarithms.
According to the logarithmic property log(a) + log(b) = log(ab), we can rewrite the equation as:
log(3x) = log(2(x - 1))
Since the logarithm function is one-to-one, we can equate the expressions inside the logarithms:
3x = 2(x - 1)
Expanding the equation:
3x = 2x - 2
Bringing all terms to one side:
3x - 2x = -2
x = -2
Therefore, the solution to the equation is x = -2.
The correct answer is (a) -2.
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the expression below represents the total cost, in dollars for Thomas to purchase some new clothes, including tax.
1.065(30+20x)
if x represents the number of shirts Thomas purchase, which of the following statements are correct select all that apply
A.) Each shirt costs $30
B.) Each shirt costs $20
C.) The sales tax 6.5%
D.) Thomas receives a 6.5% discount
E.) The cost of a shirt with tax is $21.30
F.) The cost of a shirt is $81.70 with the discount
Answer:a,b,c
Step-by-step explanation:
The correct statement is option (B),(C) and (E).
It is required to choose the correct statement.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.
Given:
Thomas to purchase some new clothes, including tax.
1.065(30+20x)
Where, x represents the number of shirts.
The correct statement is
B.) Each shirt costs $20.
20 is price of shirt before tax.
C.) The sales tax 6.5%
1.065 = 1 + 0.065 = 1 + 6.5 % of sales tax.
E.) The cost of a shirt with tax is $21.30
The cost of a shirt with tax = 20 * 1.065 = $21.30.
Therefore, the correct statement is option (B),(C) and (E).
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What is 2+2?
If you answer correctly you will get a brainiest
Answer:
It is 22 duhhhhhhhhhhhhhhhhhhh
Answer:
4
Step-by-step explanation:
Haha thank you for this
A shopkeeper bought articles at $4.00 a dozen and sold them at 4.50 a dozen her percentage profit was
Answer:
12.5
Step-by-step explanation:
Find the profit ( 4.50- 4) And then profit over original price multiplied by 100 ( 0.50/4×100)the graph of a linear function is given below. what is the zero of this function ?
Answer:
I'm pretty sure it B -3/2 because u start at -2(x) and go down 3 and right 2 and end at -2(y)
Step-by-step explanation:
Im sorry if u get it wrong plz tell me the right answer.
Answer:
The answer is -2
Step-by-step explanation:
Plato
We'll now obtain an estimate of the area of this region with a Riemann Sum, i.e. a collection of rectangles whose combined area approximates the area under the region. On your graph, slice the area up into 4 pieces by drawing 3 evenly spaced vertical lines from the x-axis up to the curve. Then using the left side of each slice as the height, sketch in 4 rectangles on your graph; these four rectangles should overlay the region under 1/x between 1 and 2. What are the x-coordinates of the left edges of the rectangles
The x-coordinates of the left edges of the rectangles are 1,5/4,6/4,7/4.
The area of this region with a Riemann Sum is 0.7595.
What does Riemann sum mean?A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.
Given function is f(x) = 1/x on the interval [1,2] is shown.
The four rectangles of width 1/4 are present.
From the figure we can see that the x coordinate of the left edges of the rectangle are:
1,5/4,6/4,7/4
Now we plug these values in the function to find the height of rectangles.
For x=1 ,f(x) = 1
For x=5/4 ,f(x) = 4/5
For x=6/4 ,f(x) = 4/6
For x=7/4 ,f(x) = 4/7
Now, Area = length*width, and width of each rectangle is 1/4
Area of rectangle 1 = 1*1/4 = 1/4
Area of rectangle 2 = 4/5*1/4 = 1/5
Area of rectangle 3 = 4/6*1/4 = 1/6
Area of rectangle 4 = 4/7*1/4 = 1/7
Total Area is = 1/4+1/5+1/6+1/7 = 0.7595
This is an overestimation of ln(2).
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An object located 1.03 cm in front of a spherical mirror forms an image located 11.6 cm behind the mirror. (a) What is the mirror's radius of curvature (in cm)? cm (b) What is the magnification of the image?
The radius of curvature (r) is -100 cm and Magnification (m) is 11.26. The mirror is a concave mirror.
Given Data: Object distance, u = -1.03 cm; Image distance, v = 11.6 cm
To find: The radius of curvature (r) and Magnification (m).
Formula used:
1/f = 1/v - 1/u;
Magnification, m = -v/u
Calculation:
Using the formula,
1/f = 1/v - 1/u
1/f = 1/11.6 - 1/-1.03 = -0.02
f = -50 cm
The radius of curvature,
r = 2f
r = 2 × (-50) = -100 cm
Since the radius of curvature is negative, the mirror is a concave mirror.
Magnification, m = -v/u= -11.6/-1.03= 11.26
Hence, the radius of curvature (r) is -100 cm and Magnification (m) is 11.26.
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Household Income (thousands)
38
45
76
93
50
54
29
44
62
31
The household incomes for 10 different households are shown. What is the mean absolute deviation for the group (round to the
nearest tenth)?
The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).
To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:
Find the mean (average) of the data set.
Subtract the mean from each data point, obtaining the deviations.
Take the absolute value of each deviation.
Find the mean of the absolute deviations.
Given the household incomes for 10 different households:
38, 45, 76, 93, 50, 54, 29, 44, 62, 31
Let's calculate the MAD step by step:
Find the mean (average):
Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10
Mean = 482 / 10
Mean = 48.2
Calculate the deviations:
Deviation for each data point = Data point - Mean
Deviation for 38 = 38 - 48.2 = -10.2
Deviation for 45 = 45 - 48.2 = -3.2
Deviation for 76 = 76 - 48.2 = 27.8
Deviation for 93 = 93 - 48.2 = 44.8
Deviation for 50 = 50 - 48.2 = 1.8
Deviation for 54 = 54 - 48.2 = 5.8
Deviation for 29 = 29 - 48.2 = -19.2
Deviation for 44 = 44 - 48.2 = -4.2
Deviation for 62 = 62 - 48.2 = 13.8
Deviation for 31 = 31 - 48.2 = -17.2
Take the absolute value of each deviation:
Absolute deviation for each data point = |Deviation|
Absolute deviation for -10.2 = 10.2
Absolute deviation for -3.2 = 3.2
Absolute deviation for 27.8 = 27.8
Absolute deviation for 44.8 = 44.8
Absolute deviation for 1.8 = 1.8
Absolute deviation for 5.8 = 5.8
Absolute deviation for -19.2 = 19.2
Absolute deviation for -4.2 = 4.2
Absolute deviation for 13.8 = 13.8
Absolute deviation for -17.2 = 17.2
Find the mean of the absolute deviations:
Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10
MAD = 148 / 10
MAD = 14.8
To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.
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When President Dwight Eisenhower ordered the Arkansas National Guard into service to enforce court orders to desegregate schools, it was an example of a. executive orders. b. political mandate. c. gerrymandering. d. cloture. e. filibustering.
When President Dwight Eisenhower ordered the Arkansas National Guard into service to enforce court orders to desegregate schools, it was an example of a) executive orders.
Executive orders are directives issued by the President of the United States that have the force of law. They are used to manage and govern the operations of the federal government. In this case, President Eisenhower used his executive authority to deploy the Arkansas National Guard to enforce the desegregation of schools as mandated by the courts.
The Supreme Court's landmark decision in Brown v. Board of Education in 1954 declared that segregation in public schools was unconstitutional. However, resistance to desegregation persisted in some areas of the country, including Arkansas. To ensure compliance with the court's ruling, President Eisenhower exercised his executive power and deployed the National Guard to Little Rock, Arkansas, to protect and enforce the rights of African American students seeking to attend previously all-white schools.
Therefore, President Eisenhower's action of ordering the Arkansas National Guard to enforce court orders to desegregate schools falls under the category of a) executive orders, as he used his executive authority to implement a policy decision.
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What does the 86% represent
Proving parallel lines. Find the value of x so that l // m. State the converse worksheet due tomorrow help please.
Answer:
x = 17Step-by-step explanation:
Find the diagram attached
The sum of the two adjacent angles is 180 degrees. Hence;
8x-9 + 53 = 180
8x + 44 = 180
Subtract 44 from both sides of the equation
8x + 44 - 44 = 180 - 44
8x = 136
Divide both sides by 8
8x/8 = 136/8
x = 17
Hence the value of x is 17
find the length of each bolded arch to the nearest hundredth
Answer:
11.21
Step-by-step explanation:
Arc length formula equals pi times the diameter (2 radius) times the angle measure (connecting to the center point of the circle) divided by 360
Basically just plug in the numbers to the formula and solve: 12pi times 107 over 360, which would equal to the answer given above.
Hope this helps (: