How you can solve real-life problems involving mean or expected value
Answers
Solving real-life problems involving mean or expected value can be quite useful in various situations, such as finance, statistics, and decision-making.
To begin, identify the problem that requires the calculation of mean or expected value.
The mean is the average of a set of numbers, while expected value is the anticipated result based on probability distribution.
Next, collect the necessary data for the problem.
In calculating the mean, gather all values in the data set.
For expected value, you'll need the probability of each outcome and its corresponding value.
To calculate the mean, add all the values together and divide by the total number of values. For expected value, multiply each outcome's value by its probability and then sum up the results.
Once you have the mean or expected value, apply it to the real-life problem to make informed decisions or predictions. This can help in areas such as budgeting, risk assessment, and determining the likelihood of future events.
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Related Questions
y = 6x + 8, find y when x = -3. *
Answers
Answer:
-10
Step-by-step explanation:
A union votes on whether to go on strike. 120 people vote. The ratio of yes no votes is 2:3. a) How many people vote yes? ..................
Answers
Answer:
48 people
Step-by-step explanation:
The given ratio is 2:3
The total is 120
Let the common ratio be x
So it can be divided as 2x, 3x
Their sum is 2x+3x=120
5x=120
x= 24
24×2=48
24×3=72
⟹48, 72
. Name the congruent parts.
Answers
Answer:
AB and CD
<A = <C
This is given information, but everything on this might or might not be congruent, since it has the same angles and side lengths.
It might be symmetrical along E and vertically downwards, but no garuantees since the image is a bit warped.
Step-by-step explanation:
A simple thing to remember is that the notches in the angle symbols and the sides mean that they are congruent. If a side has 2 notches, every other side that has 2 notches are congruent.
Angles and sides are not congruent of course, but angles that have the same number of notches are equivalent.
So with this in mind, we know stuff.
A motor racing circuit has length 5 5/6 miles.A straight section of the circuit has length 1 1/4 miles.What fraction of the circuit is the straightest section
Answers
Answer:
Dear user,
Answer to your query is provided below
The fraction of the circuit is (3/14)
Step-by-step explanation:
Explanation of the same is attached in image
Answer:
3/14
Step-by-step explanation:
Find the equation of the line whose graph passes through (−2,−3) and has slope 5 .
Answers
Answer:
y +3 = 5(x +2)
Step-by-step explanation:
You want the equation of a line with slope 5 through the point (-2, -3).
Point-slope formThe point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Applicationy +3 = 5(x +2) . . . . . . line with slope 5 through point (-2, -3)
__
Additional comment
This can also be written as ...
y = 5x +7 . . . . . . . . . subtract 3 and simplify
<95141404393>
please help i will give you brainliest!!!!!
Answers
Answer:
a:5400
b:5400
Step-by-step explanation:
if you take 3 and multiply it by 30 then add 60 then it equals 5400
Does set S span a new vector and is set S a basis or not?
1. S = {(2,-1, 3), (5, 0, 4)}
(a) u = (1, 1, -1)
(b) v = (8, -1, 27)
(c) w = (1,-8, 12)
(d) z = (-1,-2, 2)
Answers
The set S = {(2,-1,3), (5,0,4)} is a basis since it spans the vectors (v, w, and z) and its vectors are linearly independent.
To determine if a set spans a new vector, we need to check if the given vector can be written as a linear combination of the vectors in the set.
Let's go through each vector and see if they can be expressed as linear combinations of the vectors in set S.
(a) u = (1, 1, -1)
We want to check if vector u can be written as a linear combination of vectors in set S: u = a(2,-1,3) + b(5,0,4).
Solving the system of equations:
2a + 5b = 1
-a = 1
3a + 4b = -1
From the second equation, we can see that a = -1. Substituting this value into the first equation, we get:
2(-1) + 5b = 1
-2 + 5b = 1
5b = 3
b = 3/5
However, when we substitute these values into the third equation, we see that it doesn't hold true.
Therefore, vector u cannot be written as a linear combination of the vectors in set S.
(b) v = (8, -1, 27)
We want to check if vector v can be written as a linear combination of vectors in set S: v = a(2,-1,3) + b(5,0,4).
Solving the system of equations:
2a + 5b = 8
-a = -1
3a + 4b = 27
From the second equation, we can see that a = 1. Substituting this value into the first equation, we get:
2(1) + 5b = 8
2 + 5b = 8
5b = 6
b = 6/5
Substituting these values into the third equation, we see that it holds true:
3(1) + 4(6/5) = 27
3 + 24/5 = 27
15/5 + 24/5 = 27
39/5 = 27
Therefore, vector v can be written as a linear combination of the vectors in set S.
(c) w = (1,-8,12)
We want to check if vector w can be written as a linear combination of vectors in set S: w = a(2,-1,3) + b(5,0,4).
Solving the system of equations:
2a + 5b = 1
-a = -8
3a + 4b = 12
From the second equation, we can see that a = 8. Substituting this value into the first equation, we get:
2(8) + 5b = 1
16 + 5b = 1
5b = -15
b = -15/5
b = -3
Substituting these values into the third equation, we see that it holds true:
3(8) + 4(-3) = 12
24 - 12 = 12
12 = 12
Therefore, vector w can be written as a linear combination of the vectors in set S.
(d) z = (-1,-2,2)
We want to check if vector z can be written as a linear combination of vectors in set S: z = a(2,-1,3) + b(5,0,4).
Solving the system of equations:
2a + 5b = -1
-a = -2
3a + 4b = 2
From the second equation, we can see that a = 2. Substituting this value into the first equation, we get:
2(2) + 5b = -1
4 + 5b = -1
5b = -5
b = -1
Substituting these values into the third equation, we see that it holds true:
3(2) + 4(-1) = 2
6 - 4 = 2
2 = 2
Therefore, vector z can be written as a linear combination of the vectors in set S.
In summary:
(a) u = (1, 1, -1) cannot be written as a linear combination of the vectors in set S.
(b) v = (8, -1, 27) can be written as a linear combination of the vectors in set S.
(c) w = (1, -8, 12) can be written as a linear combination of the vectors in set S.
(d) z = (-1, -2, 2) can be written as a linear combination of the vectors in set S.
Since all the vectors (v, w, and z) can be written as linear combinations of the vectors in set S, we can conclude that set S spans these vectors.
However, for a set to be a basis, it must also be linearly independent. To determine if set S is a basis, we need to check if the vectors in set S are linearly independent.
We can do this by checking if the vectors are not scalar multiples of each other. If the vectors are linearly independent, then set S is a basis.
Let's check the linear independence of the vectors in set S:
(2,-1,3) and (5,0,4) are not scalar multiples of each other since the ratio between their corresponding components is not a constant.
Therefore, set S = {(2,-1,3), (5,0,4)} is a basis since it spans the vectors (v, w, and z) and its vectors are linearly independent.
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ok....................................whoever is the first one to answer my question gets brainliest ...........even if its not even an answer im also givin away a 100 points so gl <3: Use rounding to estimate the product.
8 × 9.82
80
72
88
75
Answers
Answer:
80
Step-by-step explanation:
4. (a) (2) Consider a two-country (home and foreign) two-good (wheat and cloth) world. Let MPLw and MPL M
c
be 4 and 2 , respectively. Let L=25. Assume that the world relative price is P
w
/P
C
=2/3. On a graph that has wheat on the x-axis (as in class), show the consumption point for the Home consumer in trade equilibrium. Then show that an increase in the relative price of wheat from its world relative price of 2/3 will raise Home's utility. Note: since you don't know what the utility function is, label the consumption points using letters rather than numbers. (b) (2) Suppose that the pre-trade (autarky) relative price in foreign is P
∗
w/P
∗
C=1 and that L
∗
=100. What happens to the Foreign consumer's utility if the world relative price increases above 2/3 ? To answer this question, use as a benchmark the Foreign consumer's utility in a trade equilibrium with a world price of 2/3.
Answers
(a) In trade equilibrium, the consumption point for the Home consumer can be shown on a graph where wheat is on the x-axis.
(b) If the world relative price increases above 2/3, the Foreign consumer's utility will decrease compared to the benchmark trade equilibrium with a world price of 2/3.
a, Since the relative price of wheat to cloth is 2/3, the Home consumer's consumption point will lie on a budget line with a slope of -2/3. The specific coordinates of the consumption point cannot be determined without additional information about preferences and the Home consumer's budget constraint.
To show that an increase in the relative price of wheat from 2/3 raises Home's utility, we need to consider the concept of substitution effect. When the relative price of wheat increases, it becomes relatively more expensive compared to cloth. The Home consumer will respond by consuming less wheat and more cloth, moving along the budget line to a new consumption point. This movement is driven by the substitution effect, where the consumer substitutes away from the now relatively more expensive wheat towards the relatively cheaper cloth. Since the Home consumer's preferences and utility are not known, the specific utility level cannot be quantified, but it can be concluded that the utility increases due to the substitution effect.
b. In the benchmark equilibrium, the Foreign consumer maximizes utility given the initial relative price. If the relative price increases, it means that wheat becomes relatively more expensive compared to cloth in the world market.
As a result, the Foreign consumer will have to consume less wheat and more cloth in order to remain on the same budget line. This movement along the budget line leads to a decrease in utility because the consumer has to give up some desired wheat consumption to obtain more cloth. The magnitude of the utility decrease depends on the specific preferences and utility function of the Foreign consumer, but it can be concluded that the utility will be lower when the relative price of wheat increases above 2/3 in the world market.
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write an integral that expresses the average monthly u.s. gas consumption during the part of the year between the beginning of april (t
Answers
The specific form of the function G(t) and the limits of integration would depend on the available data or assumptions about gas consumption during the specified months.
To express the average monthly U.S. gas consumption during the part of the year between the beginning of April and the end of September, we can set up an integral to calculate the average value of a function over a specific interval.
Let's denote the gas consumption as a function of time, G(t), where t represents the months from April to September. We'll integrate this function over the interval [April, September] to find the average gas consumption.
The integral that represents the average monthly U.S. gas consumption is:
(1 / (September - April)) ∫[April, September] G(t) dt
In this integral, G(t) represents the gas consumption in a given month, and the integration is taken over the interval from April to September. The average gas consumption is obtained by dividing the integral by the length of the interval (September - April).
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let f be the function given by and g be the function given by . find the first four nonzero terms and the general term for the power series expansion of f(t) about t
Answers
The Taylor series formula in summation notation f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n } where f^n(a) denotes the nth derivative of f(t) evaluated at t = a.
Since the functions f(t) and g(t) have not been given in the question, I cannot provide a specific answer to this question. However, I can provide a general approach to finding the power series expansion of a function about a point.
To find the power series expansion of a function f(t) about a point t = a, we can use the Taylor series formula:
f(t) = f(a) + f'(a)(t-a) + (1/2!)f''(a)(t-a)^2 + (1/3!)f'''(a)(t-a)^3 + ...
where f'(a), f''(a), f'''(a), ... are the first, second, third, and higher-order derivatives of f(t) evaluated at t = a.
To find the first four nonzero terms of the power series expansion, we can calculate the values of f(a), f'(a), f''(a), and f'''(a) at t = a, substitute them into the Taylor series formula, and simplify the resulting expression. The first four nonzero terms will be the constant term, the linear term, the quadratic term, and the cubic term.
To find the general term of the power series expansion, we can write the Taylor series formula in summation notation:
f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n }
where f^n(a) denotes the nth derivative of f(t) evaluated at t = a. The general term of the power series expansion is given by the expression in the curly braces. We can use this expression to find any term in the series by plugging in the appropriate values of n and f^n(a).
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22. A carton of milk holds 10 cups. A recite
for strawberry milkshakes requires 3/4 of a cup
of milk. How many recipes could you make
with the carton of milk?
Answers
Answer:
7
Step-by-step explanation:
Just simply divide 10 with 3/4
\(10*\frac{3}{4}\\\\=\frac{15}{2}\)
Now you can't make 7.5 recipes and also You can't make 8 recipes either [if you round up the value].
Now round down the value
the answer is 7
Choose the scenario that could be represented by 2/5
Answers
Answer: The answer is C.
Step-by-step explanation:
Trust me I look the test
Find the length of AB if AB = x + 10, BC = x + 14, and AC = 32.
Answers
Answer:
14
Step-by-step explanation:
AB + BC = AC
\(x + 10 + x +14 = 32 \\ 2x = 8 \\ x = 4 \\ \\ \)
AB = 4 + 10 = 14
Answer:
AB = 14Step-by-step explanation:
AB + BC = AC
x + 10 + x + 14 = 32
2x + 24 = 32
-24 -24
2x = 8
÷2 ÷2
x = 4
AB = x+10 = 4+10 = 14
Is this non linear or linear?
Answers
As both x and y go in a pattern
x is +3
y is -2
Joong Ki paid a total of ₱90 for 6 singkamas and 11 ponkans. If a singkamas and a ponkan cost ₱10, how much does each cost? ANSWER: Singkamas is ₱___ while ponkan is ₱___. *
Answers
Step-by-step explanation:
singkamas: 60 pesos
ponkan: 110 pesos
What is the value of x in the equation 2x + 3 = 11?
Answers
Answer:
2x4=8+3=11
Step-by-step explanation:
first multiply 2 times 4 equals 8 and add 3 which equals 11.
Which number line represents the solution to the inequality 1 + 2x < -7?
Answers
Answer:
\(\boxed {x < -4}\)
Step-by-step explanation:
Solve the following inequality:
\(1 + 2x < -7\)
-Subtract \(1\) to both sides:
\(1 - 1 + 2x < -7 - 1\)
\(2x < -8\)
-Divide both sides by \(2\):
\(\frac{2x}{2} < \frac{-8}{2}\)
\(\boxed {x < -4}\)
The number line:
PLEASE HELP WILL GIVE BRAINLEST
Answers
Answer:
(3,2) makes both equations true
Step-by-step explanation:
If you plug in the numbers, this happens:
2=3-1 TRUE!!
2=-3+5 TRUE
hope this helps!!!
What is the multiplicative rate of change for the exponential function f(x)= 3 (2/3)^-x
A. 0.4
B. 2.5
C. 0.6
D. 1.5
Answers
Answer:
C basta Yan ang sagot HAHAHA dko mapicturan solution ko e
Step-by-step explanation:
ano ba yan arte nyo sabing yan ang sagot eAnswer:
c 0.6
Step-by-step explanation:
lol
A tectonic plate in earth's crust moves at a constant rate of 4 centimeters per year. In a different part of the world, another tectonic plate moves at a constant rate of 30 centimeters in ten years. Is this a proportional relationship? please help
Answers
Answer:
no
Step-by-step explanation:
if it is proportional it will equal to 4 x 10= 40cm
PLEASSSSSEEE HELPPP ME
Answers
I hope this helps you
use basic identities to simplify the expression
cos²theta /sin² theta+ csc theta sin theta
Answers
For convenience sake, I will be omitting the arguments of the trig functions.
cos²/sin² + (cos)/(sin)= cos²/sin² + (cos sin)/sin²= (cos² + cos sin)/(sin²)before you add a trendline to a chart, you need to determine the data series to analyze.true/ false
Answers
Answer: True
Step-by-step explanation: When you need to analyze the data presented in PivotTables and PivotCharts, use a trendline to select the data to display and summarize.
True, before adding a trendline to a chart, it is essential to determine the data series that you want to analyze.
A trendline is a graphical representation of a pattern or direction within a given set of data, which can help in predicting future data points or understanding relationships between variables. By selecting the appropriate data series, you can effectively evaluate the trends and correlations within that specific dataset.
When creating a chart, you'll often work with multiple data series representing different variables or measurements. Identifying the relevant data series to analyze is crucial in order to obtain meaningful insights from the trendline. Once you have determined the data series of interest, you can then proceed to add a trendline that best fits the data points and provides a clear understanding of the underlying patterns.
In summary, it is true that determining the data series to analyze is an important step before adding a trendline to a chart, as it allows you to gain valuable insights and make informed decisions based on the observed trends.
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what is -3/2a+4(-a+3/2)
Answers
Answer:
this is the answer
= -11/2 a +6
kskkskskskskskkzksjsjs
find the value of x. need quickly plz help
Answers
Answer:
60°
Step-by-step explanation:
I think, should be correct all sides = 180
180/3 = 60
Answer:
x = 60
Step-by-step explanation:
This is an equilateral triangle so all angles are 60 degrees
How do I find the average rate of change of the function from x1 to x2?
The function is f(x)= -2x + 15 and x1= 0, x2= 3
Answers
Answer:
The average rate of change of the function f(x) = -2x + 15 from x1 = 0 to x2 = 3 is -2.
Step-by-step explanation:
To obtain the average rate of change of a function from x1 to x2, you can use the formula:
Average Rate of Change = (f(x2) - f(x1)) / (x2 - x1)
In this case, you are given the function f(x) = -2x + 15, and the values x1 = 0 and x2 = 3.
First, calculate the values of f(x1) and f(x2) by substituting x1 and x2 into the function:
f(x1) = -2(0) + 15 = 15
f(x2) = -2(3) + 15 = 9
Now we can substitute these values into the formula for average rate of change:
Average Rate of Change = (f(x2) - f(x1)) / (x2 - x1)
= (9 - 15) / (3 - 0)
= -6 / 3
= -2
Therefore, the average rate of change of the function f(x) = -2x + 15 from x1 = 0 to x2 = 3 is -2.
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Find the value of this expression if x=1 and y=-7 x^2y/-9
Answers
The value of the expression when x=1 and y=-7 is 7/9.
To find the value of the expression x^2y/-9 when x=1 and y=-7, we can simply substitute these values into the expression. So, we have:
x^2y/-9 = (1^2)(-7) / -9
= -7 / -9
= 7/9
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How do I Evaluate (−9)²
Answers
Answer:
81
Step-by-step explanation:
you evaluate by mutiplying the number with the exponent, which is -9 multiplied by -9, which is 81 because 2 negatives multipled or divided is a positive. hope this helped a bit
Answer:
81
Step-by-step explanation:
Here, some steps to evaluate (-9)².
Step 1 :- A negative base raised to an even powers equal positive.
9 ²Step 2 :- Write exponentiation as multiplicaton.
9 × 9Step 3 :- Multiply it .
81Another way to evaluate ( -9 ) ².
Evaluate by multiply with it's exponent.
-9 × -9When two negative sign combine they formed positive
So, after multiplying we get 81.
A pair of fair dice each numbered 1 to 6 i toed. Find the probability of a core of
a. Two odd number
b. A um of 8 or um of 12
C. Both prime or both odd number
Answers
The probability of a core of the two odd number be 1/4.
What is meant by probability?A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
The outcome of one die has no bearing on the outcome of the other since the two dice are independent.
In this instance, a complex event's probability is calculated by adding its component simple event probabilities.
Three odd and three even results occur from each roll of the dice. So, the probability of getting an odd number exists \($\frac{3}{6}=\frac{1}{2}$\)
The probability that this happens with both dice exists \($\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{4}$\)
It is relatively simple to list the "excellent" possibilities in this situation because there are a total of 36 outcomes (all numbers from 1 to 6 for one die and the same for the other die). The positive results are
(1, 1), (1, 3), (1, 5)
(3, 1), (3, 3), (3, 5)
(5, 1), (5, 3), (5, 5)
And in fact, 9 good outcomes over 36 total outcomes means
\($\frac{9}{36}=\frac{1}{4}$$\)
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