Answer:
Delilah MAD= 189 IQR= 92 Dekotah MAD= 186 IQR= 45
Step-by-step explanation:
if the demand curve shifts to the left, what happens to price and quantity?
Answer:
A lower price and quantity would result.
a hospital administrator codes incoming patients suffering gunshot wounds according to whether they have insurance (coding 1 if they do and 0 if they do not) and according to their condition, which is rated as good (g), fair (f), or serious (s). consider an experiment that consists of the coding of such a patient. (a) give the sample space of this experiment.
By applying sample space concept, it can be concluded that the sample space for this experience is {(0,g), (0,f), (0,s), (1,g), (1,f), (1,s)}.
Sample space is the collection of all possible outcomes of an experiment.
Complement of a set A is a set whose members are members of the sample space but are not members of set A. It is mathematically written as \(A^{c}\).
Some code used in the problem:
1 = have insurance
0 = not have insurance
g = good
f = fair
s = serious
The sample space (S) for this experience describes all possible outcomes, combining the insurance possession and the condition.
S = {(0,g), (0,f), (0,s), (1,g), (1,f), (1,s)}
If A = event that the patient is in serious condition, then the outcomes in A = {(0,s), (1,s)}
If B = event that the patient is uninsured, then the outcomes in B = {(0,g), (0,f), (0,s)}
The outcomes in event \(B^{c}\) ∪ A can be obtained by determining the outcomes of \(B^{c}\).
\(B^{c}\) = {(1,g), (1,f), (1,s)}
so \(B^{c}\) ∪ A = {(1, g), (1, f), (1, s), (0, s)}
Original question:
A hospital administrator codes incoming patients suffering gunshot wounds according to whether they have insurance (coding 1 if they do and 0 if they do not) and according to their condition, which is rated as good (g), fair (f), or serious (s). Consider an experiment that consists of the coding of such patients.
(a) Give the sample space of this experiment.
(b) Let A be the event that the patients is in serious condition. Specify the outcomes in A.
(c) Let B be the event that the patients is uninsured. Specify the outcomes in B.
(d) Give all the outcomes in the event \(B^{c}\) ∪ A
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evaluate
\( {3}^{x} - {3}^{x - 2} = 24\)
Evalutae this formula and solve for x
Answer:
\(x = 3\)
Step-by-step explanation:
Given equation is ,
3^x - 3^{x-2} = 24
we can write it as,
3^x - (3^x/3^2) = 24
take out 3^x as common,
3^x ( 1 - 1/3^2) = 24
simplify,
3^x (1 -1/9)=24
3^x (9-1/9)=24
3^x * 8/9 = 24
3^x = 24 * 9/8
3^x = 27
3^x = 3^3
on comparing,
x = 3
and we are done!
Answer:
x = 3
Step-by-step explanation:
Given equation:
\(3^x-3^{x-2}=24\)
Rewrite the exponent of the first term as (x - 2 + 2):
\(3^{x-2+2}-3^{x-2}=24\)
\(\textsf{Apply the exponent rule} \quad a^{b+c}=a^b \cdot a^c:\)
\(3^{(x-2)+2}-3^{x-2}=24\)
\(3^{x-2}\cdot 3^2-3^{x-2}=24\)
\(\textsf{Factor out the common term $3^{x-2}$}:\)
\(3^{x-2}(3^2-1)=24\)
Simplify the brackets:
\(3^{x-2}\cdot 8=24\)
Divide both sides by 8:
\(3^{x-2}=3\)
Apply the exponent rule a = a¹ :
\(3^{x-2}=3^1\)
\(\textsf{Apply the exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):\)
\(x-2=1\)
Add 2 to both sides of the equation:
\(x=3\)
suppose max owns a light bulb manufacturing company and deter- mines that 3 out of every 75 bulbs are defective. let x be the number of light bulbs tested until he gets a defective for the first time. (a) determine the pmf of x. (b) find the expected number of the light bulbs tested until he gets a defective for the first time.
a) The pmf of x is a geometric distribution,\(p(x) = (3/75)(72/75)^(x-1).\)
b) The expected number of bulbs tested until he gets a defective for the first time is 25.
a) The probability of success (getting a non-defective bulb) is 72/75 and the probability of failure (getting a defective bulb) is 3/75. The pmf of x is a geometric distribution, \(p(x) = (3/75)(72/75)^(x-1)\). This means that the probability of success P is multiplied by \((1-P)^(x-1)\) for each x value. b) The expected number of bulbs tested until he gets a defective for the first time is 25. This can be calculated as the sum of all x values multiplied by the corresponding pmf values: \(E(x) = Σ x p(x) = 3/75 + 24/75 + 48/75 + 72/75 + ... = 25\).
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Please answer the questions in the photo ( will mark brainliest )
The reason for the required step using property of equality are as follow:
1. Subtraction property of equality.
2. Subtraction property of equality.
3. Addition property of equality.
As given in the question,
The reason for the required step using property of equality are as follow:
1. 3x + 3 = 5 + x
3x - x + 3 = 5
2x + 3 = 5
Here
Subtraction property of equality is applied.
If x, y, and z are real numbers and x = y
then
x - z = y - z
2. 2x + 3 = 5
2x = 5-3
2x = 2
Here Subtraction property of equality is applied.
If a, b, and c are real numbers and a = b, then
a - c = b - c
3. -x - 1 = 3
-x = 3 + 1
-x = 4
Here Addition property of equality is applied.
If x, y and z are real numbers and x = y, then
x + z = y + z
Therefore, the reason for the required step using property of equality are as follow:
1. Subtraction property of equality.
2. Subtraction property of equality.
3. Addition property of equality.
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I need help! Find the measure of the indicated angle to the nearest degree.
Answer:
hope this will help you (•‿•)
Step-by-step explanation:
\(for \: 1st \: qn \: \\ let \: the \: angle \: be \gamma \\ \cos( \beta ) = \frac{b}{p} \\ \cos( \beta ) = \frac{16}{34} \\ \beta = \cos {}^{ - 1} ( { 0.470}^{ } ) \\ \beta = 61.965 \\ for \: 2nd \: qn \\ let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan( \alpha ) = \frac{20}{15} \\ \alpha = \tan {}^{ - 1} (1.33) \\ \alpha = 53.061\)
a student has 4.9 x 1022 molecules of a (probably fictional) carbohydrate with the following formula: c9h11o6. how many grams of c are in this sample? enter your answer to the nearest tenth, without units, and ignoring sig figs.
There are approximately 0.976 grams of carbon (C) in the given sample of the carbohydrate (C9H11O6).
To find the number of grams of carbon (C) in the sample, we need to first determine the molar mass of the carbohydrate.
The molar mass of C is approximately 12.01 g/mol. The molar mass of H is approximately 1.01 g/mol, and the molar mass of O is approximately 16.00 g/mol.
The molar mass of the carbohydrate (C9H11O6) can be calculated as follows:
(9 * 12.01 g/mol) + (11 * 1.01 g/mol) + (6 * 16.00 g/mol) = 162.18 g/mol
Next, we can use the Avogadro's number (6.022 x 10^23) to determine the number of moles in the sample:
4.9 x 10^22 molecules / 6.022 x 10^23 molecules/mol = 0.0813 mol
Finally, we can calculate the mass of carbon in the sample by multiplying the number of moles by the molar mass of carbon:
0.0813 mol * 12.01 g/mol ≈ 0.976 g
So, there are approximately 0.976 grams of carbon in this sample.
There are approximately 0.976 grams of carbon (C) in the given sample of the carbohydrate (C9H11O6).
To find the mass of carbon in the sample, we first need to determine the molar mass of the carbohydrate. The molar mass of an element or compound is the mass of one mole of that substance. In this case, we have the formula C9H11O6, which indicates that the carbohydrate consists of 9 carbon atoms (C), 11 hydrogen atoms (H), and 6 oxygen atoms (O).
The molar mass of carbon is approximately 12.01 g/mol, hydrogen is approximately 1.01 g/mol, and oxygen is approximately 16.00 g/mol. To calculate the molar mass of the carbohydrate, we multiply the number of atoms of each element by their respective molar masses and sum them up.
Therefore, the molar mass of C9H11O6 is
(9 * 12.01 g/mol) + (11 * 1.01 g/mol) + (6 * 16.00 g/mol) = 162.18 g/mol.
Next, we can use the Avogadro's number (6.022 x 10²³) to determine the number of moles in the given sample. The given sample contains 4.9 x 10²²molecules of the carbohydrate. Dividing this by Avogadro's number gives us the number of moles:
4.9 x 10 molecules / 6.022 x 10^23 molecules/mol = 0.0813 mol.
Finally, we can calculate the mass of carbon in the sample by multiplying the number of moles by the molar mass of carbon: 0.0813 mol * 12.01 g/mol ≈ 0.976 g. Therefore, there are approximately 0.976 grams of carbon in the given sample.
In conclusion, the sample of the carbohydrate (C9H11O6) contains approximately 0.976 grams of carbon (C).
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Show that the area of the triangle formed by the complex numbers 0,z,w∈C is 21∣Im(zwˉ)∣
Given that the area is 21 * |Im(zw conjugate)|, we can conclude that the area of the triangle formed by the complex numbers 0, z, and w is indeed 21 * |Im(zw conjugate)|. To find the area of the triangle formed by the complex numbers 0, z, and w, we can use the Shoelace Formula.
The Shoelace Formula states that the area of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is equal to: Area =In this case, we have the complex numbers 0, z, and w. We can represent z and w as\(z = x1 + y1i and w = x2 + y2i,\)where x1, y1, x2, and y2 are real numbers. Since the complex number 0 has no imaginary part, we can represent it as 0 + 0i.
Now, let's plug these values into the Shoelace Formula: \(Area = 1/2 * |(0)(y1 - y2) + (x1)(y2 - 0) + (x2)(0 - y1)|\)Simplifying this expression gives: Area =\(1/2 * |x1(y2 - 0) + x2(0 - y1)|\)
Area\(= 1/2 * |x1y2 + x2(-y1)| Area = 1/2 * |x1y2 - x2y1|\).
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The area of the triangle formed by the complex numbers 0, z, and w is given by 21 * absolute value of the imaginary part of (zw-conjugate).
Let's consider the complex numbers 0, z, and w. The triangle formed by these complex numbers has its vertices at the origin (0), z, and w. To find the area of this triangle, we need to calculate the absolute value of the imaginary part of the product of zw-conjugate and then multiply it by 21. The complex number zw-conjugate represents the difference between the complex numbers zw and its conjugate. The conjugate of a complex number is obtained by changing the sign of its imaginary part. By multiplying zw-conjugate, we obtain a complex number with a real part and an imaginary part. The imaginary part of this complex number represents the signed area of the parallelogram formed by zw and its conjugate. Since we want the area of a triangle, we take the absolute value of the imaginary part. Finally, we multiply the absolute value of the imaginary part of (zw-conjugate) by 21 to get the area of the triangle. The area of the triangle formed by the complex numbers 0, z, and w is equal to 21 times the absolute value of the imaginary part of (zw-conjugate).
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write the intercept form for each. X Y 0 6 1 10 2 14slope M=y-intercept=b=slope-intercept form
Given the set of values, you have to determine the y-intercept, slope, and the equation that corresponds to de relationship on the table.
The slope-intercept form is
\(y=mx+b\)Where
m represents the slope
b represents the y-intercept (is the y-coordinate of the point corresponding to the y-intercept)
The y-intercept of any function in the coordinate system is the point where the line intercepts the y-axis, at this point the x-coordinate is equal to zero. You can determine this value directly from the table, the ordered pair (0,6) corresponds to the y-intercept coordinates.
So "b = 6"
To determine the slope of the line, m, you need to use two points of the line and the following formula:
\(m=\frac{y_1-y_2}{x_1-x_2}\)Where
(x₁,y₁) are the coordinates of one point on the line
(x₂,y₂) are the coordinates of a second point on the line
You can use any two points of the line to calculate the slope, I will use (2,14) and (1,10)
\(\begin{gathered} m=\frac{14-10}{2-1} \\ m=\frac{4}{1} \\ m=4 \end{gathered}\)The slope of the line is m=4
Finally, you have to replace the values of the slope and y-intercept in the formula to determine the equation of the line in slope-intercept form:
\(y=mx+b\)For b=6 and m=4
\(y=4x+6\)a. Find the uniform continuous probability for P(X < 10) for U(0, 50). b. Find the uniform continuous probability for P(X > 500) for U(0, 1,000). c. Find the uniform continuous probability for P(25 < X < 45) for U(15, 65).
For a uniform continuous probability distribution, probability can be determined by calculating the proportion of the interval. By dividing the length of the specific interval by entire interval
a. To find the probability P(X < 10) for a uniform distribution U(0, 50), we need to determine the proportion of the total interval (0 to 50) that falls below 10. Since the distribution is uniform, the probability is equal to the length of the interval [0, 10] divided by the length of the entire interval [0, 50]. Thus, the probability is 10/50 = 1/5 = 0.2.
b. For the uniform distribution U(0, 1,000), we are interested in finding the probability P(X > 500). In this case, we need to determine the proportion of the total interval (0 to 1,000) that falls above 500. Since the distribution is uniform, the probability is equal to the length of the interval (500, 1,000) divided by the length of the entire interval (0, 1,000). Thus, the probability is 500/1,000 = 0.5.
c. To find the probability P(25 < X < 45) for the uniform distribution U(15, 65), we need to determine the proportion of the total interval (15 to 65) that falls between 25 and 45. Since the distribution is uniform, the probability is equal to the length of the interval (25, 45) divided by the length of the entire interval (15, 65). Thus, the probability is (45 - 25)/(65 - 15) = 20/50 = 2/5 = 0.4.
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to the x-axis is a rectangle with height x.write but do not evaluate an integral expression that gives the volume of the solid
the volume of the solid obtained by rotating the rectangle with width a and height x about the x-axis is (2π/3) a^3
Assuming you meant "a rectangle with width x", we can find the volume of the solid obtained by rotating this rectangle about the x-axis using the method of cylindrical shells.
Consider a thin vertical strip of width dx at a distance x from the y-axis. The length of this strip is the height of the rectangle, which is x. When this strip is rotated about the x-axis, it sweeps out a cylindrical shell of radius x and thickness dx. The volume of this cylindrical shell is given by 2πx(x dx) = 2πx^2 dx.
To find the total volume of the solid, we integrate the volume of each cylindrical shell from x = 0 to x = a, where a is the width of the rectangle. Therefore, the volume of the solid is given by:
V = ∫ 2πx^2 dx (from x = 0 to x = a)
V = [2π/3 x^3] (from x = 0 to x = a)
V = (2π/3) a^3
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this is easy (1 yard equals 3 feet) that is the hint
Answer:
12
Step-by-step explanation:
Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about 53 minutes. Assume that the arrival times follow a normal distribution.
(a) At what time after the doors open will 94% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.)
minutes after doors open
(b) At what time after the doors open will only 14% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.)
minutes after doors open
Using the normal distribution:
(a) 309 minutes after the doors open
(b) 172 minutes after the doors open.
In a normal distribution with mean μ and standard deviation σ, the z-score of a measure X is given by:
Z = ( X - μ ) / σ
It counts the number of standard deviations the value deviates from the mean.
We look at the z-score table after determining the z-score to determine the p-value, which is the percentile of X.
Now, we have
Mean of 3 hours and 48 minutes, therefore:
μ = 3(60) + 48 = 228 minutes
The standard deviation, σ = 52 minutes
(a) The doors open with 94% of the people who come to the Saturday show.
We look 94%, or 0.94, up in the cells of a z table. The closest we can get to this value is 0.9406, which corresponds to a z score of 1.56:
Z = ( X - μ ) / σ
1.56 = ( X - 228 ) / 52
1.56 × 52 = X - 228
81.12 = X - 228
X = 309.12
X = 309 minutes
(b) We look 14%, or 0.14, up in the cells of a z table. The closest we can get to this value is 0.1401, which corresponds to a z score of - 1.08:
- 1.08 = ( X - 228 )/ 52
- 1.08 × 52 = X - 228
- 56.16 = X - 228
X = 228 - 56.16
X = 171.84
X = 172 minutes
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Need the answer to the problem below.
((3 * 6) ^ 8) ^ 7 =
Answer:
Here is your answer
((3 * 6) ^ 8) ^ 7 =
(18 ^ 8) ^ 7 =
11019960576 ^ 7 = 19736052228807988194997231645899399052500495522364054175325333567307776
Step-by-step explanation:
1) Your score on a game show is -300. You answer the final question
incorrectly, so you lose 400 points. What is your final score?
Answer:
-700 final score
Step-by-step explanation:
-300 - 400 = -700
Subtracting a negative by a negative is ALWAYS another negative.
Subtracting a negative number is the same as adding a positive number — that is, go up on the number line. This rule works regardless of whether you start with a positive number or a negative number.
Help me please :((((
Answer:
-17, -16, -14, -12, -7
q≥ -17
Step-by-step explanation:
Start by solving the inequality
4q≥ -68
q≥ -17
Now just select all the numbers that are greater than or equal to -17
-17, -16, -14, -12, -7
The equivalent inequality would be what was solved for
q≥ -17
You have $50 in your savings account and plan to deposit $10 each week. Your friend has $25 in her savings account and plans to also deposit $10 each week. Let $x$ represent the number of weeks and let $y$ represent the total amount of money in the account. a. Write a system of linear equations that represents this situation. System of equations: Question 2 b. Will your friend’s account ever have the same amount of money as your account? yes yes no
Step-by-step explanation:
for your account the equation will be
y= 50 + 10x
for your friend acc the equation will be
y = 25 + 10x
b) no it will never have the same amount of money
mary and nathan share some sweets in the ratio 6 : 8 mary has 66 sweets how many sweets does nathan have?
88 because you multiply 66 by 8 then divide by 6 and you get 88
Answer:
88
Step-by-step explanation:
6:8=66:x
66×6=528
528=6x
x=88
the service time is exponentially distributed with a mean of 10 / hour. what is the probability that the next customer will take more than 5 minutes?
First, we need to convert the mean from hours to minutes, which is 10 * 60 = 600 minutes.
The exponential distribution is given by the formula:
$P(X > x) = e^{-\lambda x}$
where $\lambda$ is the rate parameter, which is equal to 1/mean for an exponential distribution.
Thus, for this problem, we have:
$\lambda = 1/600$
We want to find the probability that the next customer will take more than 5 minutes, or in other words, $P(X > 5)$.
$P(X > 5) = e^{-\lambda \cdot 5} = e^{-(1/600) \cdot 5} \approx 0.991$
Therefore, the probability that the next customer will take more than 5 minutes is approximately 0.991.
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Solve the following system by graphing.
Y =
2 + 5
y = -x-1
Answer:
Step-by-step explanation:
2x + 5 = -x - 1
3x + 5 = -1
3x = -6
x = -2
y = 2 - 1
y = 1
(-2, 1)
What is the cube of 13^2
What’s 4.5 rounded to the nearest whole number
Answer:
5
Step-by-step explanation:
we take the 5 behind the four and it rounds up to a 5
4.5=5
Slope from two points
What is the slope for a line that passes through (10, 17) and (7, 8)?
Your answer
Answer:
slope is 3
Step-by-step explanation:
10,17
7,8
8-17=-9
7-10=-3
-9/-3=3
2х - Зу = -1
y=x - 1
Answer:
r666666666666666666666666655555555555555555555555555555555555555555555
Christian is starting his own business and last week it cost him $10.38 to ship 6 pounds of merchandise to his customers. His business is growing and this week he must ship 20 pounds of merchandise. How much will he pay for shipping this week?
Answer:
34.20
Step-by-step explanation:
Because 10.38/6=1.78 1.78*20=34.20
WILL GIVE BRAINLIEST TO FIRST PERSON WHO IS CORRECT DO NOT DO THIS FOR POINTS PLS
A cylindrical can of vegetables has a label wrapped around the outside, touching end to end. The only parts of the can not covered by the label are the circular top and bottom of the can. If the area of the label is 100π square inches and the radius of the can is 5 inches, what is the height of the can?
25 inches
20 inches
10 inches
5 inches
Answer:
25
Step-by-step explanation:
Answer:
Step-by-step explanation:
5 inches
Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:
= $365 + (5% × $4800)
= $605
The amount is $605.
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4. (10 points) Find the points on the surface x+y+z = 1 closest to the origin.
x=y=z=2/3, and the point on the plane \(x+y+z=1\) closest to the origin is (2/3, 2/3, 2/3).
How to find the points on the surface \(x+y+z = 1\) closest to the origin?We want to find the points on the surface \(x+y+z=1\) that are closest to the origin.
Geometrically, this means we are looking for the projection of the origin onto the plane \(x+y+z=1.\)
To find this point, we can use the method of Lagrange multipliers. Let \(f(x,y,z) = x^2 + y^2 + z^2\) be the square of the distance between a point \((x,y,z)\) and the origin.
We want to minimize f subject to the constraint that \(x+y+z=1\), so we set up the following system of equations:
∇f = λ∇g, where \(g(x,y,z) = x+y+z-1\)
∂f/∂x = 2x = λ∂g/∂x = λ
∂f/∂y = 2y = λ∂g/∂y = λ
∂f/∂z = 2z = λ∂g/∂z = λ
\(g(x,y,z) = x+y+z-1 = 0\)
From the first three equations, we get x=y=z=λ/2.
Substituting this into the fourth equation, we have λ/2 + λ/2 + λ/2 - 1 = 0, or λ = 2/3.
Therefore, x=y=z=2/3, and the point on the plane \(x+y+z=1\)closest to the origin is (2/3, 2/3, 2/3).
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The continuous random variable V has a probability density function given by: 6 f(v) = for 3 ≤ ≤7,0 otherwise. 24 What is the expected value of V? Number
The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.
The PDF of V is defined as:
f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.
The expected value of V, denoted as E(V), can be calculated as:
E(V) = ∫v * f(v) dv
To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.
E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.
E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].
E(V) = (0.25) * [(49 / 2) - (9 / 2)].
E(V) = (0.25) * (40 / 2).
E(V) = (0.25) * 20.
E(V) = 5.
Therefore, the expected value of the continuous random variable V is 5.
The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
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Find the length of side XZ in the right triangle shown, Y 37 meters 12 meters ? meters X Z z Tags
Answer: 35 meters got it right on TTM