Answer:
Step-by-step explanation:
dior dior
What is the difference between a discrete
probability distribution and a continuous
probability distribution?
Give your own example of each. What is the
expected value, and what does it measure?
How is it computed for a discrete probability
distribution?
A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.
An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.
On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.
The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.
For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.
For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.
Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.
What is the area of a triangle with a base of 9 in and a height of 15 in
Answer:
The answer is 67.5
Step-by-step explanation:
First you would find the product of and 15 which is 135 then divide by two and you get 67.5 hope this helped!
What do I divide by 5 to get 9
Step-by-step explanation:
Divide 45 / 5 to get 9
As 5 * 9 = 45
Solve this question using derivatives please.
A farmer has 750 m of fencing. The farmer wants to enclose a rectangular area on all four sides, and then divide it into four pens of equal size with the fencing parallel to one side of the rectangle. What is the largest possible area of each of the four pens?
Answer:
7031.25 m²Step-by-step explanation:
The area of one pen will be largest when the area of a ractangle is the largest.
x - one side of rectangular area (x>0)
y - second side of rectangular area (y>0)
The farmer has 750 m of fencing, so if we subtract the sides x and fencing used for dividing into pens we receive:
y = 750 - 5x (750-5x>0 ⇒ x<150)
Area of the rectangle: A = x•y
A(x) = x•(750 - 5x) D=(0, 150)
A(x) = -5x² + 750x
A'(x) = -5•2x + 750•1 = -10x + 750 = -10(x - 75)
if x=75 then A'(x) = 0
so x = 75 is critical point
First Derivative Test:
A'(x) > 0 ⇔ -10(x-75)>0 ⇔ x-75<0 ⇔ x<75
A'(x) < 0 ⇔ -10(x-75)<0 ⇔ x-75>0 ⇔ x>75
A′(x)>0 to the left of x=75 and A′(x)>0 to the right of x=75 then x=75 is a maximum. {rational but also global in the interval (0,150)}
A(75) = 75•(750 - 5•75) = 75•375 = 28125 m²
So the largest possible area of each of the four pens is:
8125 : 4 = 7031.25 m²
Which equation has a value less than 2,175?
a 1 x 2,175 = ________
b 2 x 2,175 = ________
c two halves x 2,175 = ________
d one half x 2,175 = ________
The equation has a value less than 2,175 is- one half x 2,175
0.5 x 2,175 = 1087.5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
The equation has a value less than 2175, let us simplify each option:
A) 1 x 2175 = 2175
B) 2 x 2175 = 4350
C) 2/2 x 2175 = 1 x 2175 = 2175
D) 1/2 x 2175 = 1087.5
From the simplified forms, we see that the equation that has a value less than 2175 is:
The correct answer is Option D
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The parent function of graph C below is:
A) y=b^x
B) y=|x|
C) y=sqrtx
D) y=x^3
Answer: Well, it’s obviously not the first one. But if you could scroll down, so I could see the other graphs, that would be amazing. It would also help me answer the question!
Step-by-step explanation:
If the base of a triangle is 3 and its height is 4, then its area is 6. This triangle has an area of 6, so its base is 3 and its height is 4
Valid or invalid
9514 1404 393
Answer:
invalid
Step-by-step explanation:
There is more than one set of dimensions that will give a triangle with an area of 6. The fact that the area is 6 implies nothing about the dimensions (except that their product is 12).
The converse is invalid.
Answer:
The first sentence is valid but the second one is invalid.
Step-by-step explanation:
You can't say just because the area of the triangle is 6, its base is 3 and its height is 4, it might have a base of 1 and a hight of 12 so there are more than one answers for the second one.
Feel free to message me if you still have questions :)
find the parabola with equation y = ax2 + bx whose tangent line at (2, 6) has equation y = 7x − 8.
The equation of the parabola is y = (2x^2 + 7x) / (1 - x).To find the equation of the parabola with the given tangent line at the point (2, 6),
we need to determine the values of a and b in the equation y = ax^2 + bx.
We know that the tangent line has the equation y = 7x - 8. The slope of the tangent line represents the derivative of the parabola at the point of tangency.
Differentiating y = ax^2 + bx with respect to x, we get:
dy/dx = d/dx (ax^2 + bx)
= 2ax + b
Since the derivative represents the slope of the tangent line, we have:
2ax + b = 7
We also know that the point (2, 6) lies on the parabola, so we can substitute x = 2 and y = 6 into the equation of the parabola:
6 = a(2^2) + b(2)
6 = 4a + 2b
We now have a system of two equations:
2ax + b = 7 -- Equation (1)
4a + 2b = 6 -- Equation (2)
We can solve this system of equations to find the values of a and b.
From Equation (1), we can isolate b:
b = 7 - 2ax
Substituting this into Equation (2), we have:
4a + 2(7 - 2ax) = 6
4a + 14 - 4ax = 6
4a - 4ax = -8
Factoring out a:
4a(1 - x) = -8
Dividing both sides by (1 - x):
4a = -8 / (1 - x)
a = -2 / (1 - x)
Now, substituting the value of a back into Equation (1), we have:
b = 7 - 2ax
b = 7 - 2(-2 / (1 - x))x
b = 7 + 4x / (1 - x)
So, the equation of the parabola is:
y = ax^2 + bx
y = (-2 / (1 - x))x^2 + (7 + 4x / (1 - x))x
Simplifying further, we can combine the fractions:
y = (-2x^2) / (1 - x) + (7x + 4x^2) / (1 - x)
Now, we can find a common denominator:
y = (-2x^2 + 7x + 4x^2) / (1 - x)
Combining like terms:
y = (2x^2 + 7x) / (1 - x)
Therefore, the equation of the parabola is y = (2x^2 + 7x) / (1 - x).
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determinant of matrix in python giving wrong answers true or false
The statement "determinant of matrix in Python giving wrong answers" is generally false, as long as you're using the correct method for calculation and providing a valid input matrix. It
What's determinant of a matrixThe determinant of a matrix is a scalar value that can be used to determine if a matrix is invertible or not.
In Python, the NumPy library provides a function to calculate the determinant of a matrix. However, if the input matrix is not a square matrix, the function will return an error.
Additionally, if the matrix is singular, the determinant will be zero, but due to the limitations of floating-point arithmetic, the function may return a very small non-zero value instead.
This can lead to the function giving wrong answers, either indicating that a matrix is invertible when it is not, or vice versa. It is important to check the validity of the matrix before calculating its determinant, and to be aware of the limitations of floating-point arithmetic.
One possible solution is to use symbolic computation libraries like SymPy to calculate the exact determinant of a matrix.
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17.3% of 45.94km (round up to 2 DP)
Answer:
7.90
Step-by-step explanation:
turn 17.3% into decimal which is 0.173
45.94*0.173 = 7.90168
round to 2 dp is 7.90
a firm wants to determine the effect of introducing a new service on customer satisfaction. if the firm surveys a random sample of customers before introducing the new service and measures their level of satisfaction, and surveys the same sample of consumers 60 days after the new service was introduced, what kind of test should be used for comparing the satisfaction scores before and after the new service?
The appropriate test to compare the satisfaction scores before and after the introduction of the new service is a paired t-test or a dependent t-test.
This is because the same group of customers is being surveyed before and after the introduction of the new service. The two samples are not independent of each other, but are related or dependent because they are measuring the same thing in the same individuals at different points in time.
A paired t-test compares the means of two related samples and determines whether the difference between them is statistically significant or simply due to chance. In this case, the null hypothesis would be that there is no significant difference in customer satisfaction before and after the introduction of the new service, and the alternative hypothesis would be that there is a significant difference.
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Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
The answer is < ONK and < JKN
hope it helps
Good luck on your assignment
Deshaun bought 6 bags of sugar for his restaurant. Each bag weighed 6.9 kilograms. How many kilograms of sugar did he buy total?
Answer:
41.4 kgs
Step-by-step explanation:
Take the number of bags times the weight of each bag
6 * 6.9
41.4 kgs
Answer:
41.4 kilograms of sugar
Step-by-step explanation:
its 41.4 kilograms of sugar because you take the 6 bags and multiply that by the 6.9
Recently, the stock market took big swings up and down. A survey of 969 adult investors asked how often they tracked their portfolio. The table shows the investor responses. What is the probability that an adult investor tracks his or her portfolio daily
A survey of 969 adult investors asked how often they tracked their portfolio. The probability that an adult investor tracks his or her portfolio daily is 0.238.
From the table it is clear that the number of responses daily by the adult investors is 231.
What is probability?Probability is the ration of the number of possible value to the total value.
Here the number of daily response by the adult investors = 231
The total adult investors = 969
Hence, the The probability that an adult investor tracks his or her portfolio daily = 231/969 = 0.238.
Therefore, in the total number of 969 adult investors, the probability that the investors response daily is 0.238.
Disclaimer: The question is incomplete. The following is the correct question.
Question: Recently, the stock market took big swings up and down. A survey of 969 adult investors asked how often they tracked their portfolio. The table shows the investor responses. What is the probability that an adult investor tracks his or her portfolio daily
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A portfolio is 70% invested in an index fund and 30% in a risk-free asset. The index fund has a standard deviation of returns of 15%. Calculate the standard deviation for the total portfolio returns.
The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.
The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.
To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:
Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance between index fund and risk-free asset)]
Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:
Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund
Plugging in the values, we get:
Standard deviation of portfolio returns = 0.70 * 15% = 10.5%
Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.
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a boy kicks a 0.445kg soccer ball with the force of 75 newtons what is the acceleration of the soccer ball
Answer:
168.5 m/s^2
Step-by-step explanation:
Select the correct answer. Consider these functions: What is the value of f(g(-2))? A. -28 B. -12 C. 12 D. 146
Answer:
c
Step-by-step explanation:
Q1 Let → v = 4 → i + 2 → j and → w = 4 → i + 7 → j . Find an exact number c so that → w − c → v is perpendicular to → vc=
Q2 Let →a=〈−2,3,0〉a→=〈-2,3,0〉 and →b=〈−2,−5,0〉b→=〈-2,-5,0〉.
Find the angle between vectors →a and →b.
1) The exact angle is cos−1
2) The approximation in radians is θ=
1) The exact value of c is 2.
2) The angle between vectors →a and →b is cos^(-1)(13/√74), which is approximately 0.179 radians.
1) To find the value of c, we need to determine the scalar multiple of →v that, when subtracted from →w, results in a vector perpendicular to →vc. Since →v = 4 → i + 2 → j and →w = 4 → i + 7 → j, we can subtract c(4 → i + 2 → j) from →w to obtain a vector perpendicular to →vc. By comparing the coefficients of →i and →j, we can equate the resulting vector's components to zero and solve for c. In this case, c = 2.
2) To find the angle between →a and →b, we can use the dot product formula. The dot product of two vectors →a and →b is equal to the product of their magnitudes and the cosine of the angle between them. By calculating the dot product of →a and →b and dividing it by the product of their magnitudes, we can find cosθ. Taking the inverse cosine of cosθ gives us the angle θ. In this case, the angle between →a and →b is approximately 0.179 radians.
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(b) Part B
How many solutions does the following the system of equations have?
Answer:
Its C.
Step-by-step explanation
:Took the test
Which expression is equivalent to 4(2.61y − 3.08)
Answer:
10.44y - 12.32
Step-by-step explanation:
Use the distributive property.
4(2.61y − 3.08) =
= 10.44y - 12.32
What number is ten less than 658?
Answer:
658-10=648
Step-by-step explanation:
subtract 10 from 658.
a. find the solution of the given initial value problem. g b. plot a graph of the solution. y′′ 4y = ( t − ) − ( t − 2 ) ; y(0) = 0, y′(0) = 0
The particular solution satisfying the initial conditions is y(t) = (1/2)*cos(2t) - (1/8)*sin(2t) + (1/4)t - 1/2 and the graph has been plotted.
The given differential equation is y′′ + 4y = (t − ) − (t − 2). To solve this equation, we will first find the general solution to the homogeneous part, y′′ + 4y = 0, and then find a particular solution to the non-homogeneous part, (t − ) − (t − 2).
The characteristic equation for the homogeneous part is obtained by assuming the solution is of the form. Substituting this into the equation, we get r² + 4 = 0. Solving this quadratic equation, we find two complex roots: r = ±2i. Therefore, the general solution to the homogeneous part is y_h(t) = c₁cos(2t) + c₂sin(2t), where c₁ and c₂ are arbitrary constants.
To find a particular solution to the non-homogeneous part, we will use the method of undetermined coefficients. Since the non-homogeneous part contains terms (t − ) and (t − 2), we assume a particular solution of the form y_p(t) = At + B, where A and B are constants to be determined.
Taking the derivatives, we have y′_p(t) = A and y′′_p(t) = 0. Substituting these into the differential equation, we get 0 + 4(At + B) = (t − ) − (t − 2). Equating the coefficients of the like terms on both sides, we get 4A = 1 and 4B = -2.
Solving these equations, we find A = 1/4 and B = -1/2. Thus, the particular solution is y_p(t) = (1/4)t - 1/2.
The general solution to the original differential equation is given by the sum of the homogeneous and particular solutions: y(t) = y_h(t) + y_p(t).
y(t) = c₁cos(2t) + c₂sin(2t) + (1/4)t - 1/2.
We are given the initial conditions y(0) = 0 and y′(0) = 0.
Substituting these values into the general solution, we get:
y(0) = c₁cos(0) + c₂sin(0) + (1/4)*0 - 1/2 = 0.
This equation simplifies to c₁ - 1/2 = 0, which gives c₁ = 1/2.
Differentiating the general solution with respect to t, we get:
y′(t) = -2c₁sin(2t) + 2c₂cos(2t) + 1/4.
Substituting t = 0 and y′(0) = 0 into the above equation, we have:
y′(0) = -2c₁sin(0) + 2c₂cos(0) + 1/4 = 0.
This equation simplifies to 2c₂ + 1/4 = 0, which gives c₂ = -1/8.
Therefore, the particular solution satisfying the initial conditions is:
y(t) = (1/2)*cos(2t) - (1/8)*sin(2t) + (1/4)t - 1/2.
The graph will show how the solution varies with the input value t. It will illustrate the oscillatory nature of the cosine and sine functions, along with the linear term (1/4)t, which represents a gradual increase. The initial condition y(0) = 0 ensures that the graph passes through the origin, and y′(0) = 0 implies the absence of an initial velocity.
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Line t has an equation of y = x + 2. Line u is parallel to line t and passes through
(10, 4). What is the equation of line u?
Answer:
y=x-6
Step-by-step explanation:
simplify (x^3/3z)^-3
Answer: x^3z/3 is your answer
Step-by-step explanation:
Please help me
GEOMETRY
And please let me know how you solved it thank u!
Answer:
x = 6
Step-by-step explanation:
In the picture :) Hope that helped!
Explain the steps in calculating the mean absolute
deviation of a set of data.
Answer:
Step-by-step explanation:
First, add each number in the set of data. Then, divide the sum by the count of numbers in the data set.
example:
DATA SET:
5 4 7 6
MEAN STEP 1:
5 + 4 + 7 + 6 = 22
MEAN STEP 2:
Since there are four numbers in the data set, divide 22 by four.
Answer:
Sample Answer: First, find the mean of the data set by averaging. Next, find the absolute deviations for each data point. That is, find the distance each point is from the mean. Then find the mean of the absolute deviations.
Which did you include in your explanation? Check all that apply.
Find the mean of the set of data.
Find the absolute deviations for each point.
Absolute deviation is a data point’s distance from the data set’s mean.
Find the mean of the absolute deviations.
Which are true and which are false?
The correct statement is: the volume of the cylinder is 8 cubic inches more than that of the cone.
What is the Volume of a Cone and Volume of a Cylinder?The volume of cone (V) = 1/3 * πr²h
Volume of cylinder (V) = πr²h
Where, r is the radius of their bases.
The base area formula for the cone = πr²
Calculate the area of the base of the cone that has a radius (r) of 2.5 in:
Area of the base of the cone = π(2.5)² ≈ 19.6
The volume of the cone (V) = 1/3 * πr²h = 1/3 * π * 2.5² * 6.5
≈ 42.5 cubic inches
Volume of cylinder (V) = πr²h = π * 2² * 4
≈ 50.3 cubic inches
The difference in volume = 50.3 - 42.5
= 7.8 ≈ 8 cubic inches
Therefore, the only statement that is true is: the volume of the cylinder is 8 cubic inches more than that of the cone.
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Helppppp!!!!!! Quick :(((
What is the value of a when the equation is 3x+6y=a?
Answer:
a = 3x + 6y
Step-by-step explanation:
You start by flipping the equation.
After that there is not enough information to solve for a.
an emergency room nurse believes the number of upper respiratory infections is on the rise. the emergency room nurse would like to test the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases. using the computed test statistic of 2.50 and the critical value of 2.33, is there enough evidence for the emergency room nurse to reject the null hypothesis?
To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.
In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.
Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.
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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.
Explanation:Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.
It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.
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