Answer: #48 <FBE
Step-by-step explanation:
Which equation represents the perimeter of rectangle ABCD?; How do you find the length and width of a rectangle when given the perimeter?; What is the formula for calculating perimeter of a rectangle?; How do you find the length of a rectangle with the perimeter?
The formula for calculating it is perimeter of the rectangle = 2(length + width), meaning that it is equal to twice the sum of its length and width.
Given that,
We have to find which equation perfectly describes the ABCD rectangle's perimeter? How do you determine a rectangle's length and width given its perimeter?
We know that,
The total length of a rectangle's outer boundary is known as its perimeter. The formula for calculating it is perimeter = 2(length + width), meaning that it is equal to twice the sum of its length and width.
The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in metres, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.
A rectangle has four 90° angles.
The diagonals of a rectangle are all of the same length.
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Write an equation of a circle whose
center is (-1,3) and passes through the
point (7,-2).
Answer: (x + 1)^2 + (y - 3)^2 = 65
Step-by-step explanation:
Answer: (x+1)²+(y-3)²=89
Step-by-step explanation:
An equation of a circle: (x-a)²+(y-b)=R²
The center of a circle is (-1,3), hence a=-1 b=3
(x-(-1))²+(y-3)=R²
(x+1)²+(y-3)²=R² (1)
Substitute the coordinate (7,-2) belonging to the circle into equation (1):
(7+1)²+(-2-3)²=R²
8²+(-5)²=R²
64+25=R²
89=R²
Thus, R²=89
Hence,
(x+1)²+(y-3)²=89
wich of the following statements are true
Answer:
A
Step-by-step explanation:
a and b are in direct proportion. the equation of proportionality is a=8b. work out the value of a when b=4.
The required value of 'a' in the equation of proportionality is 32.
What is direct proportion?
Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.
It is symbolised by the proportional sign ∝.
For instance, if x and y are two quantities or variables that are intimately linked to one another, we can say x & y. The ratio of x and y becomes equal to a constant when the proportionality sign is removed, for example, x/y = C, where C is a constant.
Given, a = 8b
When b = 4 then
So, a = 8*4 = 32
Hence, the required value of 'a' in the equation of proportionality is 32.
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The top rate paid one year for a 30 - second TV ad during the Super Bowl was 6% greater than the previous year's top rate. If the new top rate paid was $ 2.4 million, what was the top rate paid the previous year?
$2256000 is the top rate paid the previous year.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that top rate paid one year for a 30 - second TV ad during the Super Bowl was 6% greater than the previous year's top rate.
If the new top rate paid was $2.4 million then we need to find the top rate paid the previous year.
Convert 6% to the decimal by dividing with 100 is 0.06
0.06×2400000
144000
Now subtract 144000 from 2.4 million.
2400000-144000
2256000
Hence, the top rate paid the previous year is $2256000.
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Evaluate the following expression for x =1/2
8x-5
Explain answer
Answer:
-1
Step-by-step explanation:
You want to evaluate (8x -5) for x = 1/2.
EvaluationPut the value where x is in the expression, then do the arithmetic.
8x -5 = 8(1/2) -5
= 4 -5
= -1
The value of the expression is -1.
Match each number on the left with the correct description of the number on the right.
Answer options on the right may be used more than once.
-10
This is an integer.
This is a rational number, but not an integer.
This is an irrational number.
√5
-5.6
31/
π
The given number on the left can be matched with the correct description of the number on the right as :
-10 ;This is an integer.31/4 ;This is a rational number, but not an integer.π ,√5 ; This is an irrational number.What are integers and rational numbers?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.
logical quantity is A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other like numbers are a few examples of rational numbers. The number "0" is also a rational number because there are various ways to express it, including 0/1, 0/2, and 0/3.
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Part C: Mr. Chin wants to add a rectangular desk that is 7 feet wide by 5 feet long. He says
he has enough space in the reading room to add the desk. Do you agree with Mr. Chin's
conjecture? Why or why not? Explain.
Not agree with the Mr. Chin's conjecture, because there may be space for the desk in the room but Mr. Chin not have the actual measurement, it may or may not fit the desk in room of given length and width.
What is conjecture?A good guess or an idea about a pattern is a conjecture. Speculate (about something) We can only speculate about the killer's thoughts. speculate that... He speculated that the population might double within a decade. speculate about something She speculated about the existence of a brand-new species.
A mathematical assertion that has not yet been thoroughly established is known as a conjecture. When one observes a pattern that is consistent across many cases, speculations result. However, just because a pattern applies to a lot of cases does not mean that it applies to all of them. To fully accept the mathematical observation, conjectures must be demonstrated. A theorem is formed when a conjecture is thoroughly demonstrated.
A crucial step in solving a problem is making a guess; It's more than just a tool for professionals in math. It is extremely uncommon for a problem's solution to be immediately apparent in everyday problem solving. Instead, the process of solving problems involves looking at the problem structure, looking at the cases, making a guess about the solution, and then proving that guess.
Hence, not agree with Mr. Chin's conjecture.
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On Abby Ellen’s graduation from law school, Abby’s uncle, Bull Brady, promised her a gift of $24,000 or $2,400 every quarter for the next 4 years after graduating from law school. If the money could be invested at 6% compounded quarterly, which offer should Abby choose? How much money will Abby have if she invests at 6% compounded quarterly? (Round your answer to the nearest cent.)
Abby choose:
Abby will have:
Abby will choose $2,400 every quarter for 4 years.
Abby will have $30455.65 if she invests at 6% compounded quarterly
What is interest rates?
The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR (APR).
The formula of compounded quarterly is
A = P ( 1 + r/n)^(4t)
P = Principal = $24,000
n = 4
r = rate of interest = 6% = 0.06
t = time = 4 years
Putting the value of P, r, t in the formula of compounded quarterly:
A = 24000 ( 1 + 0.06/4)^(4×4)
A = 30455.65.
Future Value of an Ordinary Annuity
[tex]S = R[\frac{(1+i)^n-1}{i} ][/tex]
Where
S is the future value;
R is the periodic payment;
i is the interest rate per period;
n is the number of periods.
The value of R is $2,400, i = 0.06/4 = 0.015
n = (4 × 4) = 16
[tex]S = 2400[\frac{(1+0.015)^{16}-1}{0.015} ][/tex]
S = 43037.69
Abby choose: $2,400 every quarter for 4 years.
Abby will have $30455.65 if she invests at 6% compounded quarterly.
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Which is the same as sin^-1 x
arccos x
arcsin x
arctan x
The expression that is the same as sin⁻¹ x is (b) arcsin x
How to determine the equivalent expression?From the question, we have the following sine expression that can be used in our computation:
sin^-1 x
When this expression is rewritten, we have the following representation
sin⁻¹ x
The above expression is pronounced as arc-sin of x
And it can be represented as
arcsin x
This means that the equivalent expression of the given expression is (b) arcsin x
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Simplify the expression
By simplifying the equation we can get 5y²+2y+0.4.
What is equation?An equation is said to be a formula that express the equality of two expressions. These two expressions on either side of the equal sign are called the "left side" and "right side" of the equation. We usually assume that the right-hand side of the expression is zero. This can be compensated for by subtracting the right side formula from the two side formulas, so there is no loss of generality.
The equation is representing direct proportion is, by the commenting them with equal sign.
4y²+4.1+7y-3.7-5y+y²
Reorder and gather like terms-
(1.4y²+y²)+(4.1-3.7)-(7y-5y)
Collect coefficients of likes terms
(1.4+1)y²+(4.1-3.7)-(7y-5y)×y
Calculate the sum or difference we can get
2.4y²+0.4+2y
Rewrite the expression
2.4y²+2y+0.4
Thus this is the correct answer .
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if these are the only constraints, which of the following points (x,y) cannot be the optimal solution?
Points (0,200) and (200,0) fall outside of the feasible region hence they cannot be the optimal solution.
For the given condition,
Points are (48,84), (0,120), (0,0), (90,0)
The objective function is,
maximize 4X + 10Y
Take point (48, 84), here X = 48 and Y = 84
Substitute values in the objective function equation as shown below;
Z = 4 * 48 + 10 * 84
= 1032
For point (0,120)
Z = 4 * 0 + 10 * 120
= 1200
For point (0,0)
Z = 4 * 0 + 10 * 0 =0
For point (90,0)
Z = 4 * 90 + 10 * 0
= 360
The value of the objective function is maximum at point (0,120). Its value is 1,200.
The viable region does not include points (0,200) and (200,0), hence they cannot be the best option.
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The diagram shows a cologne bottle that consists of a cylindrical base and a hemispherical top.Write an expression for the (a) cylinder's volume and (b) hemispherical top's volume.h=10 cm;r=5 cm
Cylinder's volume = πr^2h = π(5 cm)^2(10 cm) = 785.398 cm^3 and Hemispherical top's volume = 2/3πr^3 = 2/3π(5 cm)^3 = 523.598 cm^3
a) To calculate the volume of the cylinder, we need to use the equation for the volume of a cylinder, which is πr^2h, where π is pi, r is the radius, and h is the height. In this case, the radius is 5 cm and the height is 10 cm, so the equation becomes π(5 cm)^2(10 cm) = 785.398 cm^3.
b) To calculate the volume of the hemispherical top, we need to use the equation for the volume of a hemisphere, which is 2/3πr^3, where π is pi and r is the radius. In this case, the radius is 5 cm, so the equation becomes 2/3π(5 cm)^3 = 523.598 cm^3.
Cylinder's volume = πr^2h = π(5 cm)^2(10 cm) = 785.398 cm^3
Hemispherical top's volume = 2/3πr^3 = 2/3π(5 cm)^3 = 523.598 cm^3
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I've been stuck on this for 30 minutes. Anyone able to assist?
The value of the function at -4 is f(-4) = -14.
What is the value of a function?
When the variables and constants in a mathematical expression are given values, the outcome of the computation it describes is the expression's value. The quantity that the function assumes for these argument values is the value of a function, given the value(s) assigned to its argument(s).
Given:
f(x) = 2x - 6
We have to find the value of f(-4).
So, plug x = -4 in the above equation.
Above equation becomes,
f(-4) = 2(-4) - 6
f(-4) = -8 - 6
f(-4) = -14
Hence, the value of the function at -4 is f(-4) = -14.
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What value of x will make on similar to SRQ by the SSS similarity theorem?; What value of will make the triangles similar by the similarity theorem?; How do you find similar triangles in SSS?; How do you find the value of X that makes triangles similar?
The value of x will make on similar to SRQ by the SSS similarity theorem is 25.
From the figure :
NM = 10
SR = 20
NO = 8
QR = x
SAS Similarity Theorem:
states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
NO/NM = SR/QR
substitute the values
8/10 = 20/x
cross multiplication
8x = 200
dividing both sides by 8
x = 25
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Full question :
What value of x will make △ONM similar to △SRQ by the SAS similarity theorem?What value of will make the triangles similar by the similarity theorem?; How do you find similar triangles in SSS?; How do you find the value of X that makes triangles similar?
C. Find the solution of the given linear equations and solve the number
crossword
Find the average value of f(x)=−2sin(x)+5cos(x) over the interval [π,2π] .
The average value of the trigonometric equation f(x) = - 2 · sin x + 5 · cos x over the interval [π, 2π] is equal to 2 / π.
How to determine the average value of a function on a given intervalIn this question we find the definition of a trigonometric equation consisting in the sum of two trigonometric functions on a given interval [a, b], of which we must determine its average value by means of the following integral equation:
[tex]m = \frac{1}{b - a} \cdot \int\limits^b_a {f(x)} \, dx[/tex]
Where:
a - Lower boundb - Upper boundFirst, write the entire trigonometric equation and the bounds of the interval:
f(x) = - 2 · sin x + 5 · cos x, a = π, b = 2π
Second, obtain the result of the integral equation:
[tex]m = -\frac{2}{2\pi - \pi}\cdot \int\limits^{2\pi}_\pi {\sin x} \, dx + \frac{5}{2\pi - \pi}\cdot \int\limits^{2\pi}_\pi {\cos x} \, dx[/tex]
[tex]m = \frac{2}{\pi}\cdot \cos x[/tex] [tex]|\limits_{\pi}^{2\pi}[/tex] + [tex]\frac{5}{\pi}\cdot \sin x[/tex] [tex]|\limits_{\pi}^{2\pi}[/tex]
m = (2 / π) · (cos 2π - cos π) + (5 / π) · (sin 2π - sin π)
m = (2 / π) · (1 - (- 1)) + (5 / π) · (0 - 0)
m = 2 / π
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For each of the following relations, please answer the following questions (briefly justify your answers). (i) (3 points) Is the relation a function? (ii) (3 points) If the relation is a function, what are its domain and image? (ii) (3 points) Is the inverse a function? If so, what is the inverse function? The relations of interest are
(a) {(z, y):,y Z,y-2) (c) f(x, y): z,y Z,r+ y 0) (e) {(x,y) E Z × Z : xly). (f) [(x, y): z, y e R, 2 y2 1) (2) (3 points each) Let A 1,2, 3,4]. Determine a codomain B and a function f: A- B such that the following hold (briefly justify your answers).
(a) f is onto B, but not one-to-one. (b) f is one-to-one, but not onto B (c) f is both one-to-one and onto B. (d) f is neither one-to-one nor onto B. Note: You might need to change your B from part to part.
The answer is (i)Yes the given relation is a function ,
(ii) the domain is Z and range is 2Z ,
(iii) the inverse is S₁⁻¹ = {(x,y) | x,y∈ Z : x = y/2 }
In the question ,
it is given that ,
the relation is S₁ = {(x,y) | x,y∈ Z : y = 2x }
Part(i) ,
We can say that Yes , the given relation is a function because for each
x ∈ Z , there exists a unique y ∈ Z .
Part(ii)
since the variable x , y ∈ Z , the input variable is x ,
so , the domain of the function will be Z , and
the Range of the function will be = 2Z .
Part(iii) ,
Since the given function is bijective function ,
the function will have an inverse .
given y = 2x ,
the inverse ⇒ x = y/2 .
so , the inverse function is S₁⁻¹ = {(x,y) | x,y∈ Z : x = y/2 } .
There fore , the relation is a function whose domain is Z and range is 2Z n and the inverse is S₁⁻¹ = {(x,y) | x,y∈ Z : x = y/2 } .
The given question is incomplete , the complete question is
For given relation , please answer the following questions (briefly justify your answers).
(i) Is the relation a function ?
(ii) If the relation is a function, what are its domain and image ?
(iii) Is the inverse a function ? If so, what is the inverse function ?
The relation is given as : S₁ = {(x,y) | x,y∈ Z : y = 2x }
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Rocky has $150 to spend on food this week. If he buys 120 Coconuts for $150, what is the average cost per coconut?
Answer:
$1.25
Step-by-step explanation:
150 / 120
Answer:
$1.25
Step-by-step explanation:
You can find the average cost per coconut by dividing the total price by the number of coconuts. 150 divided by 120 is $1.25. Therefore, each coconut costs $1.25.
write the integer which is 9 units left from +4
Answer:
I believe the answer is 5
Step-by-step explanation:
A. Jesse and Mya are playing the integer card game.The cards in jesse's hand are 3,-5,9 and -6.What is the total score of jesse's hand?
B. Jesse picks up two more cards but they do not affect his overall point total.State the value of each of the two cards and tell why they do not affect his overall point total?
(a) The total score of Jesse's card is 1
(b) The value of each of the two cards can either be 0 or cards with different signs
In the question,
(a) Jesse's card are 3 , -5 , 9 and -6
We have to find the total
You should know that,
Adding a positive integer is like addition but adding a negative integer is like subtraction
So, Total score = 3 + (-5) + 9 + (-6)
=> 3 - 5 + 9 - 6
=> 1
Jesse's total score is 1
(b) Jesse has picked two cards which are not affecting her total score
So, either he got two zeroes or two cards with opposite signs with same magnitudes
Like 1 and -1 etc.
The two doesn't affect his score because their effect got cancelled out
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Please help me asap, I’m struggling with this :(
Answer:
x≈33.36
Step-by-step explanation:
The marks on the lines mean they are the same lenth, that means the other two angles are both 29 degrees. Because triangle angles add up to 360, we can add the two 29 degree angles and subtract them from 360 to get the angle of the equation. From here we can solve to find x.
[tex]29+29=58[/tex]
[tex]360-58=302[/tex]
[tex]11x-65=302\\[/tex]
[tex]11x=367[/tex] (add 65 on both sides)
[tex]x[/tex]≅[tex]33.36[/tex] (divide 11 on both sides)
can any of you help I pay you!
Answer:
Below
Step-by-step explanation:
The probability of Z given Y would be
7 out of (15+7) = 7/22
Use analysis of variance rather than a t test whenever the null hypothesis makes a claim about:____
The use of analysis of variance rather than a t-test for the null hypothesis claims more than two populations.
Analysis of Variance (ANOVA) is a statistical component used to evaluate variances throughout the method (or average) of various groups. A variety of eventualities use to decide if there's any distinction among the method of various groups. Student's t-test is used to compare means between two His groups and ANOVA is used to compare means between three or more His groups. ANOVA first obtains the common t-test. A significant t-test for the ANOVA test indicates at least one pair for which the mean difference was statistically significant.
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find the maclaurin expansion for the following functions and indicate for which values of x it actually represents the function
The maclaurin expansion for function eˣ is 1 + x + x²/2 + x³/6 + x⁴/24 + .....
A function's expansion series, which provides the function's derivatives' sum, is known as a Maclaurin series.
Series [f, x, 0, n] can be used to find a function's Maclaurin series up to order n.
When x = 0, it is a specific example of the Taylor series. The series of Maclaurin is provided by
[tex]f(x) = f(x_0) + f(x_0)(x - x_0) + \frac{f"(x_0)}{2!}(x - x_0)^2 + . . .[/tex]
The formula for maclurin series is :
[tex]f(x) = \sum^{\infty}_{n=0} \frac{f^n (x_0)}{n!} (x-x_0)[/tex]
Where,
f(xo), f’(xo), f’‘(xo)……. are the successive differentials when xo = 0.
Maclaurin expansion for the function eˣ
Firstly , We will derivate the function
f(x) = eˣ
=> f'(x) = e⁰ = 1
=> f''(x) = e⁰ = 1
=> f'''(x) = e⁰ = 1
and so on
Upon evaluation of all derivatives at x = 0, we obtain the value 1.
Moreover, f(0)=1, so we can deduce that the expansion of the Maclaurin Series as
=> eˣ = 1 + x + x²/2 + x³/6 + x⁴/24 + .....
The given question is incomplete , I answered the question in general according to the knowledge
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A line passes through the points (-8, – 7) and (-6, – 3). What is its equation in slope-intercept form?
The equation in slope-intercept form would be; y = 5x + 33
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given that line passes through points (-8, – 7) and (-6, – 3).
Now we will write in slope-intercept form,
y = m x + b .
Now to find m, we use the formula;
m = y₂ - y₁ / x₂ - x₁
Then,
m = { -3 - (-7)} / { 6 - (-8)}
m = 4 / 14
m = 2/7
Thus, y = 5x +33
Therefore, its equation in slope-intercept form would be; y = 5x + 33
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Leah Long bought one bond of Vick Company for 147. The original bond was 8.25 10. Leah wants to know the current yield. Help Leah with the calculation. (Round your answer to the nearest tenth percent.)
Hence, the current yield is [tex]1212.897[/tex]
What is the calculation?
A calculation is a deliberate mathematical process that transforms one or more inputs into one or more outputs or results.
Here given that,
Leah Long bought one bond of Vick Company for [tex]147[/tex]. The original bond was [tex]8.25 10[/tex].
So,
[tex]8.2510(147)=1212.897[/tex]
Hence, the current yield is [tex]1212.897[/tex]
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what is the remainder in the synthetic division below
The Remainder in the Synthetic division is three, for given problem
1 |__1___2__-3__3 is 3.
So, the correct option is option(c).
The Synthetic Division:
It is defined as the method of dividing the polynomial by the binomial is known as the synthetic division. It stands for polynomial division. Here, the division principle is performing in the coefficient of the polynomial.
We have given that the synthetic division is
1 |__1___2__-3__3
We find out the remainder in the synthetic division :
Multiply the carry-down value (i.e 1) by the test zero on the left, and carry the result(i.1×1 = 1) up into the next column inside:
1 | 1 2 -3 3
|______________
1
Add down the column( 2+1 = 3) :
1 | 1 2 -3 3
|____1_________
1 3
Multiply the previous carry-down value (i.e 3) by the test zero, and carry the new result up into the last column:
1 | 1 2 -3 3
|____1____3____
1 3 0
1 | 1 2 -3 3
|____1____3___0_
1 3 0 3
three, last carry-down value is the remainder.
Therefore, the remainder is 3. The option c is correct.
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Complete question:
What is the remainder in the synthetic division problem below?
a. 6
b. 4
c. 3
d. 5
State what additional information is required in order that the triangles are congruent for the reason given.
The additional information is required in order that the triangles are congruent for the SSS congruent theorem is IW = IH
How to determine the additional information?From the question, we have the following parameters that can be used in our computation:
Triangles = IWO, and IHO
Given theorem = SSS
The SSS congruent theorem implies that the corresponding sides of the triangles in question are congruent
From the question, we can see that the following corresponding sides on the triangles have the same mark
W O and H O
A O and A O
This implies that these sides are congruent sides
For the triangle to be congruent by SSS, the following sides must also be congruent
IW must be congruent to IH
Hence, the additional information on the congruency of the triangles is IW = IH
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plot the probability mass function of the sample mean of x1, ... , xn, when (a) n = 2; (a) n = 3. assume that the probability mass function of the xi is p{x = 0} = .2, p{x = 1} = .3, p{x = 3} = .5 in both cases, determine e[x ] and var(x ).
The probability mass function of the sample mean of x1, ... , xn, then the
Expectation [tex]E[X][/tex] = 1 and Variance [tex]Var[X][/tex] = 4.9
To find the expected value, E(X), or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products. The formula is given as E(X)=μ=∑xP(x).
var(X)=∑(x−μ)2pX(x), where the sum is taken over all values of x for which pX(x)>0. So the variance of X is the weighted average of the squared deviations from the mean μ, where the weights are given by the probability function PX(x) of X.
Given that,
The probability mass function of the sample mean of x1, ... , xn,
p{x = 0} = 0.2, p{x = 1} = 0.3, p{x = 3} = 0.5
when (a) n = 2; (a) n = 3
Expectation is defined as
[tex]E[X][/tex] = ∑ˣ [tex]x P(X =x)[/tex]
We have
[tex]E[X][/tex] = ∑ [tex]x P(X =x)[/tex]
[tex]x[/tex]∈(2,3)
[tex]E[X][/tex] = [tex]P(X =0)+2P(X=1)+3P(X=3)[/tex]
[tex]E[X][/tex] = 0.2 + 0.3 + 0.5
[tex]E[X][/tex] = 1
Variance is defined as
[tex]Var[X][/tex] = E[(X-[tex]E[X]^{2}[/tex]]
[tex]Var[X][/tex] = [tex]E[X^{2}][/tex] - [tex](E[X])^{2}[/tex]
We get
[tex]E[X]^{2}[/tex] = [tex]1^{2} P[X=0]+2^{2} P[X=1]+3^{2} P[X=2][/tex]
[tex]E[X]^{2}[/tex] = 0.2 + 4(0.3) + 9(0.5)
[tex]E[X]^{2}[/tex] = 0.2 + 1.2 + 4.5
[tex]E[X]^{2}[/tex] = 5.9
Variance is defined as
[tex]Var[X][/tex] = [tex]E[X^{2}][/tex] - [tex](E[X])^{2}[/tex]
[tex]Var[X][/tex] = 5.9 - [tex]1^{2}[/tex]
[tex]Var[X][/tex] = 5.9 - 1
[tex]Var[X][/tex] = 4.9
Therefore,
The probability mass function of the sample mean of x1, ... , xn, then the
Expectation [tex]E[X][/tex] = 1 and Variance [tex]Var[X][/tex] = 4.9
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