Answer:
Step-by-step explanation:
Let X be the RV we are talking about.
Expected value has different aliases, such as weighted average, mean, expectation, first moment and so on.
Okay, how do we calculate the average first, just sum all the values and divide by number of values. It comes from the basic assumption, which is choosing one of them is equally likely. What I mean by that is quite simple, above process what I talked about is just sum of the numbers times their probabilities. e.g. (a+b+c+d)/4 = a/4 + b/4 + c/4 + d/4. In the example, we assumed that probability of choosing any a, b, c and d is equally likely.
Then, why I use the term weighted average is the generalized situation of average, which is some of the numbers are repetitive. For instance, X can take the values a, b, c and d; however, X can take the value a 3 times more than d, X can take the value b 2 times more than d and c and d occurs with the same frequency at X, Therefore, if we take a sample, it is likely to be a, b, a, c, d, a, b or the permutation of this sample. Therefore the weighted average is 3 * a / 7 + 2 * b / 7 + c / 7 + d /7 or using normal average theorem (a + a + a + b + b + c +d) / 7. First, both of them are equal. Find the distribution and multiply the values with the probabilities of the distribution and sum them up or just add them and divide by number of sample. Second, if you check that, a has more weight, which means a can determine the direction of the average more. That is the logic behind the expected value.
Now, if X is a discrete RV (like in the above example), we know what we are going to do. What if X is a continuous RV ? X could take infinite values therefore if you divide a number with an infinite value, the probability of an individual value X could take is going to be 0. Therefore, we cannot calculate the expected value of chosen values individually; however, we can calculate the expected value of an interval by approximating with Riemann Sum or with a better choice, using integrals. Because, technically using Riemann Sum and quantizing the values and approximating the area of the curve is the same as we did above.
In conclusion, basically if X is a discrete RV and the values X could take is countably infinite,
If X is a discrete RV and the values X could take is finite,
if X is a continuous RV,
Ashanta buys pizza and drinks for a party.
• She wants to spend no more than $50.
• Pizzas cost $9 each, and drinks cost $2.50 each.
• She needs at least 4 pizzas.
• She needs no more than 5 drinks.
Answer:
she can buy 4 pizzas and five drinks with 2.50 to spare or 4 pizzas and 6 drinks
Step-by-step explanation:
In the figure below, Z is the center of the circle. Suppose that OR=4, ST= 4, UZ= 6, and VZ=4x-6. Find the following.
Answer:
x = 3 units
SV = 2 units
Step-by-step explanation:
In[tex] \odot Z[/tex] QR and ST are chords such that:
QR = ST = 4
That is both the chords are equal in measure.
Equal chords are at equal distance from the center of the circle. Therefore,
VZ = UZ
4x - 6 = 6
4x = 6 + 6
4x = 12
x = 12/4
x = 3 units
Since, perpendicular dropped from the center of the circle bisects the chord.
[tex] \therefore SV = \frac{1}{2} ST[/tex]
[tex] \therefore SV = \frac{1}{2} \times 4[/tex]
[tex] \therefore SV = 2\: units[/tex]
If 5(3x – 7 ) = 20, then what is 6x – 8? *
8
12
14
16
Step-by-step explanation:
hope it helps............
13
Bennie is 7 years older than Ayesha.
Chloe is twice as old as Bennie.
The sum of their three ages is 57.
dersk
Work out the ages of Ayesha, Bennie and Chloe.
is a pentagon a polygon
Answer:
Yes
Step-by-step explanation:
A polygon is a 2D figure with at least three straight sides and angles. A pentagon has five sides and angles, so it qualifies as a polygon.
I hope this helped ^^ Good luck
Math Math help help help ASAP please help me
Answer:
a.) 64
b.) 2401
Step-by-step explanation:
Answer:
a.) 64
b.) 2401
Step-by-step explanation:
If the point T(3,-4) is translated 2 units left and 3 units up, the coordinates of T' will be
PLEASE HELP ME!!!!!!
Answer:
T' (1, -1)
Step-by-step explanation:
Since it is 2 units left, we would subtract 2 from the x value and since it is 3 units up, we would add 3 to the y value.
Select the correct answer.
which equation matches the function shown in the graph?
A. Y = 1/2sin(x)
B. Y = sin(2x)
C. Y = sin(1/2x)
D. Y = sin(1/4x)
The equation for the graph is y = sin[(1/2)x] after applying the transformation x → (1/2)x option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
A graph of a trigonometric function is shown in the graph:
From the graph of a function, we can see the sin function represented by the graph.
y = sin(x)
To find the equation for the graph we can apply the transformation to the above equation.
From the graph
x =2π
y = 0
x → (1/2)x
y = sin[(1/2)x]
Thus, the equation for the graph is y = sin[(1/2)x] after applying the transformation x → (1/2)x option (C) is correct.
Learn more about the function here:
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(y 3 - y 2 + y + 3) ÷ (y + 1)
Answer:
y^2-2y+3
Step-by-step explanation:
use synthetic division
-1| 1 -1 1 3
-1 2 -3
1 -2 3 (0)
y^2 -2y +3
Plz help I'd highly be grateful
Answer: C
explanation : It is because the answer supposed to be equivalent to
[tex]\frac{-e}{f}[/tex]
Instead of this, answer a and b are positive
a is completely positive as it has no negatives at all
b is positive as 2 negative makes up as positive
Find the volume of a hemisphere when the diameter is 24 cm
Answer:
3619.6cm^3
Step-by-step explanation:
Given data
Daimeter= 24cm
Radius= 12cm
The formula for finding the volume of the hemisphere is given below
V = 2/3*π*r³
Substitute
V= 2/3*3.142*12^3
V= 2/3*3.142*1728
V= 10858.752/3
V=3619.6cm^3
Hence the volume is 3619.6cm^3
I need help please!!
Answer:
answer is A
Step-by-step explanation:
as /_ 1 + /_ 2 =180 degree
and /_6 +/_5 = 180 degree
so they are equal
Need help on this question asap please
Answer:
G = (y-x)/2
Step-by-step explanation:
Here, we want to find the value of the angle marked G
To do this, we are going to use one of the important circle angle-arc relationships
Thus, we have it that;
G = 1/2 (mFE - mJH)
G = 1/2 (y-x)
Which is simply
G = (y-x)/2
Is it possible to form a triangle with the given side lengths? 2ft,8ft,11ft
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
We have given that,
it is possible to form a triangle with the given side lengths.
We have to determine the side of the triangle
What is the formula for the area of the triangle?[tex]Area \ of \ the \ triangle=\frac{1}{2} \times height\times base[/tex]
No, The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
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Jessica drew a scale
drawing of a movie
theater. The scale she
used on the drawing was
4 inches = 5 feet. In real
life, the walkway at the
movie theater was 30 feet
long. What will be the
length of the walkway on
Jessica's drawing?
Answer:
24 inches
Step-by-step explanation:
30 divided 5
that equals 6
then times 6 with 4
you get 24 inches
what is the solution set for the equation 2x^2-8x-42=0
Answer:
x=−3 or x=7
Step-by-step explanation:
Step 1: Factor left side of equation.
2(x+3)(x−7)=0
Step 2: Set factors equal to 0.
x+3=0 or x−7=0
x=−3 or x=7
Answer:
(-3,7)
Step-by-step explanation:
Mhanifa please help this is due asap
Answer:
#1
x/ 6 = 4/8 ⇒ x = 3y/10 = 4/8 ⇒ y = 5#2
x / 12 = 10 / 15 x = 12*2/3x = 8#3
x/ (x + 2) = 5/66x = 5x + 10x = 1015 cm
Which equation can be used to find the area of the of the parallelogram?
A)
A = (7)(5)
B)
A = (15)(5)
A = (15)(7)
Answer:
15 × 5
Step-by-step explanation:
mark me brainliest
Ashraf paid$4 for a package of 8 candy bars. Ronnie paid $5.40 for a package of 12 candy bars. Based on these rates, which statement is true? * 4 points A Ronnie paid $.40 more per bar than Ashraf B Ashraf paid $.05 more per bar than Ronnie C Ashraf paid $.50 more per bar than Ronnie D They paid the same amount per bar
Answer: its B
Step-by-step explanation:
Can someone give me the correct answer to this problem please?
I will mark the first person who answers correctly without a link brainliest.
Please help!!
Answer:
50 degrees
Step-by-step explanation:
Comment if u want explanation
Answer:
I believe it is the third one! 60! I hope this helps!
Step-by-step explanation:
Find the volume of a cylinder with a diameter of 14mm and a height of 3.4mm Round to the nearest tenth.
Answer:
V≈5.23×10-7m³
Step-by-step explanation:
V=π(d
2)2h=π·(0.014
2)2·3.4×10-3≈5.23389×10-7m³
Answer: 523.1 mm^2
You first want to find the radius for the volume of cylinder formula. You first do 14 divided by 2 to get the radius. You should get 7. Then after you find the radius you then put it into the formula which is v=3.14 x radius^2 x height. The equation with all the numbers from the problem is 3.14 x 7^2 x 3.4. After you put the equation into your calculator you should get 523.1 mm^2.
help asap please!! thank you
Answer: The third option
Step-by-step explanation:
(6) (5) is the area of the quadrilateral, therefore you subtract that value by the area of the semi-circle.
to find the area of a semi circle the formula is: (1/2) π ( [tex]r^{2}[/tex])
The radius is 2.5 because the diameter is 5, and the radius is half the diameter.
A recipe for nut bread calls for 1/3 cup of walnuts and 2/6 cup of pecans. What is the total amount of walnuts and pecans needed for the recipe?
Answer: 2/3 cups
Step-by-step explanation:
when completely factored, 4-16x+28y equals :
Answer:
4(1 - 4x + 7y)
Step-by-step explanation:
The only factor common to all three terms is 4.
Factoring out the 4, we get 4(1 - 4x + 7y)
If 3 is 1/4 what is the whole? (Division)
Answer:
12
Step-by-step explanation:
12 divided by 4 is 3 or 12 split into 4 even parts is 3
3. 3 3. 3
1/4. 1/4 1/4. 1/4
This set of ordered pairs shows a relationship between x and y. {(0, -2), (3, 7), (6, 16), (6, 15), (8, 21), (10, 28), (11,31)} Using the line of best fit, which is closest to the output when the input is 5?
Answer:
The closest to the output when the input is approximately 12
Step-by-step explanation:
The given (x, y) coordinates are;
The line of best fit is
x, 0, 3, 6, 6, 8, 10, 11
y, -2, 7, 16, 15, 21, 28, 31
The line of best fit can be obtained from the scatter plot of the given data from where a linear pattern is apparent
A linear line of best fit is a trend line that gives an overall cumulative minimum distance of all the points from the line
The method for constructing a line of best fit includes;
1) The least Squares Method
2) The method of linear regression
3) Construction of line of best fit
a) The area method
b) The dividing method
The least squares equation is given as follows;
[tex]\hat y[/tex] = a + b·x
[tex]b = \dfrac{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma (x_i - \overline x)^2 }[/tex]
From MS Excel, we have;
[tex]{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{ }[/tex] = 266.8571
[tex]{\Sigma (x_i - \overline x)^2 }[/tex] = 89.42857
∴ b = 266.8571/89.42857 ≈ 2.984
[tex]a =\overline y- b \cdot \overline x[/tex]
From MS Excel, with the given data, we get;
[tex]\overline y[/tex] = 16.57143
[tex]\overline x[/tex] = 6.285714
Therefore;
a = 16.57143 - 2.984 × 6.285714 = -2.185
Therefore, we get the following regression equation;
[tex]\hat y[/tex] = -2.185 + 2.9·x
Where;
x = The input
[tex]\hat y[/tex] = The output
Therefore, when x = 5, we get;
[tex]\hat y[/tex] = -2.185 + 2.9 × 5 = 12.315
Therefore, the closest to the output when the input is 5, y ≈ 12
Translate the expression
NO answering with links !!!
1) ten subtracted from the product of a number and -3 is 29
2) the difference between a number and nine , divided by 4 , is -7
Answer:
1) ten subtracted from the product of a number and -3 is 29
x*(-3) - 10 = 29-3x = 39x = -132) the difference between a number and nine , divided by 4 , is -7
x - 9/4 = -7x = 9/4 - 7x = -19/4what is 1/3(w+18)=12 using distributive property?
Answer:
w = 18
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] (w + 18) = 12 ← distribute parenthesis on left side
[tex]\frac{1}{3}[/tex] w + 6 = 12 ( subtract 6 from both sides )
[tex]\frac{1}{3}[/tex] w = 6 ( multiply both sides by 3 to clear the fraction )
w = 18
Write the equation represented in the verbal phrase below. Then solve the equation. (use x for your variable) The difference of 11 and 2 times a number "x" is 1 Your variable "x" is equal to
Answer:
x = 5
Step-by-step explanation:
Let
x = the unknown variable
The difference of 11 and 2 times a number "x" is 1
11 - 2x = 1
Find x
11 - 2x = 1
Add 2x to both sides
11 - 2x + 2x = 1 + 2x
11 = 1 + 2x
Subtract 1 from both sides
11 - 1 = 1 + 2x - 1
10 = 2x
Divide both sides by 2
10 / 2 = 2x / 2
5 = x
x = 5
someone please please help me with this I would really appreciate it ! ( NO LINKS)
Answer:
Step-by-step explanation:
The cylinder on the right, its volume = 9 bi * 10 = 90 bi
The volume of the left cylinder = 9 bi * 10 = 90 bi
They are equal because the radius and length of 2 cylinders are equal