If f(x) = 0, what is x?

0 only
–6 only
–2, 1, or 3 only
–6, –2, 1, or 3 only

In this problem, we are given a continuous random variable X that is uniformly distributed in the interval [-2, 2]. We are asked to find the probability density function (pdf) of a new random variable Y, which is defined as Y = sin(TX/8). Additionally, we need to find the pdf of another random variable Z, defined as Z = 2X^2 + 1.

(a) To find the pdf of Y, we start by finding the cumulative distribution function (cdf) of Y. We know that the cdf of Y is the probability that Y takes on a value less than or equal to a given value y. To find this, we first need to determine the range of values that X can take on that will result in Y being less than or equal to y. By rearranging the equation Y = sin(TX/8), we can isolate X: X = 8*sin^(-1)(Y)/T. Since X is uniformly distributed in [-2, 2], we substitute the values of X in this range into the equation and solve for Y to obtain the range of values for Y. Next, we differentiate this range with respect to y to obtain fy(y), which gives us the pdf of Y.

(b) For the second part, we need to find the pdf of Z. We start by finding the cdf of Z. We know that Z = 2X^2 + 1. Using the cdf of X, we can calculate the cdf of Z by substituting Z = 2X^2 + 1 into the cdf of X. Finally, we differentiate the cdf of Z with respect to z to obtain f2(z), which represents the pdf of Z.

Finally, the first paragraph outlines the problem where we are given a uniformly distributed random variable X in [-2, 2]. We are asked to find the pdf of a new random variable Y = sin(TX/8) and another random variable Z = 2X^2 + 1. The second paragraph explains the process of finding the pdfs of Y and Z by first calculating their respective cdfs using the given transformations and the cdf of X, and then differentiating the cdfs to obtain the pdfs.

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Answer:

The solutions to the equation are V = 3 and V = 3.

Step-by-step explanation:

To solve this equation by factoring, we need to find two integers that multiply to 9 and add to -6. The two integers that satisfy this condition are -3 and -3.

We can use these integers to factor the quadratic equation as follows:

V² - 6v + 9 = (V - 3)(V - 3)

Then, we can set each factor equal to zero and solve for V:

V - 3 = 0

V = 3

The solutions to the equation are V = 3 and V = 3.

Answer:

Table 3

Step-by-step explanation:

A linear relationship will have constant rate of change(slope) for all x values

Rate of change = Δf(x)/Δx

where Δf(x) = change in values of f(x)

and Δx = corresponding change in values of x

Only table 3 has this constant rate of change:

This slope of 2 is the same if you take any two pairs of x, f(x) values in that table

Hence constant slope = linear relation

Let x and y represent the cost of a blouse and a skirt respectively.

Given;

Dahlia paid $216 for 4 blouses and 5 skirts;

A skirt cost 4 times as much as a blouse;

We have a system of equation.

Solving the simultaneous equation by substitution;

substituting the value of x into equation 2 to solve for y;

So, the cost of 5 skirts is;

Answer:

15 cartons

Step-by-step explanation:

18 eggs and u have 3 of them. 18*3 is 54 144-54 is 90 90/6 is 15 15 cartons.

Hope this helps plz hit the crown :D

Answer:

31.7

Step-by-step explanation:

Just subtract

Answer:

21.9

Step-by-step explanation:

When rounding to the nearest tenth, we are rounding to 1 decimal place.

If the number in the hundredth place is 5 or more, we round up.

If the number in the hundredth place is less than 5, we round down.

17.26 rounded to the nearest tenth is 17.3

as 6 is in the hundredth place, so we round 2 tenths up to 3 tenths.

4.556 rounded to the nearest tenth is 4.6

as 5 is in the hundredth place, so we round 5 tents up to 6 tenths.

Therefore, 17.3 + 4.6 = 21.9

Answer:

x- intercept = 4 , y- intercept = - 2

Step-by-step explanation:

To find the x- intercept let f(x) = 0 , that is

\(\frac{x-4}{-x+2}\) = 0

The denominator cannot be zero as this would make f(x) undefined

Equating the numerator to zero

x - 4 = 0 ⇒ x = 4 ← is the x- intercept

To find the y- intercept let x = 0 , that is

f(0) = \(\frac{0-4}{-0+2}\) = \(\frac{-4}{2}\) = - 2 ← is the y- intercept

Answer: Yes

Step-by-step explanation:

one is just bigger than the other if you blow the little one up than you can see they are the same!

Answer:

y = 6x + 10

Isaiah makes $34.00 after working for 4 hours.

Step-by-step explanation:

Slope intercept form is y=mx+b

In this situation the equation would look like so, x = amount of hours:

y = 6x + 10

To solve for how much Isaiah earns after 4 hours plug in 4 instead of x.

y = 6(4) + 10

y = 24 + 10

y = 34

Isaiah makes $34.00 after working for 4 hours.

Hope that helps and have a great day!

Answer:

\(x= 7 + 2\sqrt{15} \\x= 7 - 2\sqrt{15}\)

Step-by-step explanation:

To solve the equation (x - 7)^(2) = 60, we can start by taking the square root of both sides:

\(\sqrt{(x-7)^2} = \sqrt{60}\)

Simplifying, we get:

x - 7 = ± \(\sqrt{60}\)

Now we can add 7 to both sides to isolate x:

x = 7 ±  \(\sqrt{60}\)

To simplify further, we can factor 60 into its prime factors: 60 = 2^(2) * 3 * 5.

Then, we can simplify the square root of 60:

\(\sqrt{60} = \sqrt{2^2*3*5} = 2\sqrt{15}\)

So the final solutions are:

\(x= 7 + 2\sqrt{15} \\x= 7 - 2\sqrt{15}\)

Answer:

sorry man can't help you with this one

The unit rate based on the information about the construction will be 62, 65 and 63.

The unit rate for Rosk Construction is 62. This is because a=62w

The unit rate for Fosbert’s Construction is 65 because:

130/2 = 65;

260/4 = 65;

390/6 = 65.

Therefore the unit rate is 65

3. The unit rate for Durable B Construction will be 63. This is because:

63/1 = 63;

126/2=63;

189/3=63.

Therefore the unit rate is 63.

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Answer:

4.2 has a greater value

since 4.2 is greater than 3.6

Step-by-step explanation:

Since neither numbers are negative, the absolute value around the numbers do not change the values. So nothing changes and we know 4.2 is greater than 3.6

The picture provides to stacks of coins and the number of coins used in both stacks are the same. One stack is straight while the other has been slightly distorted. Nonetheless, since the stacks of coins are congruent, the volume would be the same.

The percentage increase in price of bread is 50%.  To calculate the percentage increase in price of bread, we can use the following formula:

Percentage Increase = ((New Value - Old Value) / Old Value) x 100%

Using this formula, we can plug in the values given:

Percentage Increase = ((18 - 12) / 12) x 100%

Percentage Increase = (6 / 12) x 100%

Percentage Increase = 0.5 x 100%

Percentage Increase = 50%

Therefore, the percentage increase in price of bread is 50%.

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open the parenthesis

y + 5 = -x + 7

subtract 5 from both-side of the equation

y + 5 - 5 = -x + 7 - 5

y = -x + 2

or

y= 2 - x

Assuming W refer to sets of vectors in some vector space,

a. If scalars x, y, z exist, then b is in [a1, a2, a3]; otherwise, it is not. If a1, a2, and a3 are linearly independent then it contains three vectors.

b. Without knowing what W is, it is impossible to answer this question.

The number of vectors in W is not specified.

c.  Without knowing what W is, it is impossible to answer this question.

a. To check whether b is in [a1, a2, a3], we need to see if b can be written as a linear combination of a1, a2, and a3. That is, there exist scalars x, y, and z such that b = xa1 + ya2 + z*a3. If such scalars exist, then b is in [a1, a2, a3]; otherwise, it is not.

The number of vectors in [a1, a2, a3] depends on whether a1, a2, and a3 are linearly independent or not. If they are linearly independent, then the set [a1, a2, a3] contains exactly three vectors.

If they are linearly dependent, then [a1, a2, a3] is a smaller set that can be obtained by removing one or two vectors from the original set. In this case, the number of vectors in [a1, a2, a3] can be 1, 2, or 3, depending on which vectors are removed.

b. To check whether b is in W, we need to see if it satisfies the defining properties of W. Without knowing what W is, it is impossible to answer this question. Please provide the definition of W.

Assuming W is a subspace of the vector space, the number of vectors in W is not specified by the subspace itself. It can be any non-negative integer, including infinite, depending on the dimension of the subspace.

c. To show that a1 is in W, we need to show that it satisfies the defining properties of W. Without knowing what W is, it is impossible to answer this question. Please provide the definition of W.

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Answer:

90

Step-by-step explanation:

90 because it's your maximum.

The clinic should hire at least 7 doctors in order to serve 122 patients per day.

To determine how many doctors the clinic should hire in order to serve 122 patients per day, we need to calculate the number of patients each doctor can see within their working hours.

Let's start by calculating the total number of minutes each doctor works per day. Since each doctor works 8 hours per day and there are 60 minutes in an hour, the total minutes worked by a doctor per day would be 8 hours × 60 minutes = 480 minutes.

Next, we need to find out how many patients a doctor can see within their working hours. Given that each patient requires an average of 27 minutes with a doctor, the number of patients a doctor can see per day would be 480 minutes ÷ 27 minutes per patient = 17.7778 patients.

Since we can't have a fractional number of patients, we need to round this number up to the nearest whole number to ensure that each patient gets the required attention. Therefore, each doctor can see approximately 18 patients per day.

To serve 122 patients per day, we divide the total number of patients by the number of patients each doctor can see per day: 122 patients ÷ 18 patients per doctor = 6.7778 doctors.

Again, we can't have a fractional number of doctors, so we need to round this number up to the nearest whole number. Therefore, the clinic should hire at least 7 doctors to serve 122 patients per day.

In summary, the clinic should hire at least 7 doctors in order to serve 122 patients per day.

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To calculate the coefficient of determination, we need to square the value of the linear correlation coefficient. Therefore, the coefficient of determination is 0.165.

This tells us that 16.5% of the variation in the data can be explained by the regression line. The remaining 83.5% of the variation is unexplained and can be attributed to other factors that are not accounted for in the regression model. To calculate the coefficient of determination, you simply square the linear correlation coefficient (r). In this case, r = 0.406.
Coefficient of determination (r²) = (0.406)² = 0.165.

The coefficient of determination, r², tells you the proportion of the variance in the dependent variable that is predictable from the independent variable. In this case, r² = 0.165, which means that 16.5% of the total variation in the data is explained by the regression line, while the remaining 83.5% (1 - 0.165) represents the unexplained variation.

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Answer:

Step-by-step explanation:

the slope line of y-9=-2(x-8) is m=-2/9

Answer: um i answered so yah im bored can u talk???

Step-by-step explanation: ;)

The number 1.368 is approximately 2 more than its cube.

To find a real number that is exactly 2 more than its cube, we can set up the equation:

x = x^3 + 2

Rearranging the equation, we have:

x^3 - x + 2 = 0

To find the solution to this equation, we can use numerical methods such as Newton's method or trial and error. Applying trial and error, we can find one such value accurate to three decimal places:

x ≈ 1.368

If we substitute this value into the equation x = x^3 + 2, we get:

1.368 ≈ (1.368)^3 + 2

1.368 ≈ 2.001

The number 1.368 is approximately 2 more than its cube.

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Answer:

\(\Huge \boxed{\mathrm{12.67 \ s}}\)

Step-by-step explanation:

\(\displaystyle power \ (W) = \frac{work \ done \ (J)}{time \ (s)}\)

\(\displaystyle P= \frac{W}{t}\)

\(\displaystyle 15= \frac{190}{t}\)

Solve for t.

Multiply both sides by t.

\(15t =190\)

Divide both sides by 15.

\(\displaystyle t= \frac{190}{15}\)

\(t \approx 12.67\)

\( \bf \underline{ \underline{given : }}\)

\(\bf \underline{ \underline{To \: be \: calculated : }}\)

Calculate the time ?

\(\bf \underline{ \underline{

Formula \: applied :}}\)

\( \boxed{ \bf{Power = \frac{Work \: done}{Time} }}\)

\(\bf \underline{ \underline{Solution : }}\)

We know,

\(\sf {Power = \dfrac{Work \: done}{Time}}\)

\( \sf{ Time = \dfrac{Work \: done}{Power } }\)

Substituting the values of work and power, we get:

\( \sf \implies{Time = \dfrac{190}{15} }\)

\( \sf\implies{Time = 12.66 \: s}\)

Thus,the time taken by a body is 12.66 seconds.

The total cost of cans is £47.4 if One can of weedkiller cover 100 square meters and each can costs 19.75

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We know, the area of the trapezoid:

\(\rm Area = \dfrac{(a+b)}{2} \times h\)

h can be calculated using Pythagoras theorem:

h = √(17² - 8²)

h = 15 m

\(\rm Area = \dfrac{(12+20)}{2} \times 15\)

Area = 240 square meters

Number of cans = 240/100 = 2.4

Each can cost 19.75

Total cost = 2.4×19.75 = £47.4

Thus, the total cost of cans is £47.4 if One can of weedkiller cover 100 square meters and each can costs 19.75

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Answer:

what?

Step-by-step explanation:

The best description is skew right. (the date is missing in this question)

What is Skew right?

A distribution is right skewed if it has a “tail” on the right side of the distribution

The cumulative relative frequency graph shows that

The slope between 0 and 4 is substantially steeper than the curve between 6 and 14.

Then

Because most of the data values are between 0 and 4 (where the histogram's highest bar appears) and relatively few values lie between 6  and 14 the histogram's distribution should be skewed to the right, resulting in low bars tailing to the right side of the highest bars.

Because there are more data values between 0 and  4 than between 6 and 14 we can conclude that skewed right is the best description of the histogram's form. Hence, the it is skewed right.

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