Convert 352 base 6 to base 4.​

The corresponding CDF is:F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6.

The value of the constant A can be obtained by using the normalization condition that the integral of the PDF function over the entire possible range of X must be equal to 1. So, we can write the following integral to solve for

A:(∫f(x) dx) from 0 to π/2=∫A sin(x) dx= A [-cos(x)] evaluated at π/2 and 0= -A(cos(π/2) - cos(0))= A (1 - 0) =1. Therefore, the value of the constant A is 1. b. The CDF of the given random variable X is given as follows:

F(x)=∫f(x)dx from 0 to x, for 0 < x < π/2=∫sin(x) dx from 0 to x= [-cos(x)] evaluated at x and 0= -cos(x) - (-cos(0))= 1 - cos(x) for 0 < x < π/2=1 for x ≥ π/2. So, the corresponding CDF is as follows:

F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X can be obtained using the following formula:

E(X) = ∫xf(x)dx from 0 to π/2=∫x sin(x) dx from 0 to π/2= [-x cos(x)] evaluated at π/2 and 0 - ∫-cos(x) dx from 0 to π/2= -0 + cos(0) - ([-cos(x)] evaluated at π/2 and 0)= 0 + 1 - (-1)= 2. So, the expected value of the given random variable X is 2.

d. The variance of the given random variable X can be obtained using the following formula:

Var(X) = E(X²) - [E(X)]²=∫x² f(x)dx from 0 to π/2 - [E(X)]²=∫x² sin(x)dx from 0 to π/2 - (2)²= [-x² cos(x)] evaluated at π/2 and 0 + ∫2x cos(x)dx from 0 to π/2 - 4= -0 + π²/4 - 4 + (2 sin(x) + 2x cos(x)) evaluated at π/2 and 0= π²/4 - 2 - 4 + 2 + 2π= π²/4 + 2π - 6. So, the variance of the given random variable X is π²/4 + 2π - 6

Hence, the answer is: a. The value of the constant A is 1.b. The corresponding CDF is : F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6

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The given equation is

Adding 1 on both sides, we get

Taking square root on both sides, we get

Hence the solution is

Option B is correct.

Answer:

20

Step-by-step explanation:

8×10^3=8000

4×10^2=400

800/400=20

Answer: No

Step-by-step explanation:

Linear expression is y=mx + b

14 is just a number, it doesn't have a slope or y-intercept!

Answer:

x = $1.5, y = $2.75

Step-by-step explanation:

5x + 6y = 24

3x + 2y = 10

Solve for y

2y = 10 - 3x

y = 5 - 3/2x

Plug y into first equation

5x + 6y = 24

5x + 30 - 9x = 24

-4x = -6

x = $1.5

y = $2.75

In parallelogram, The rug is too long to fit in the room. Even though the rug is narrower than the room, its length is greater than the height of the room, so it would not fit in the space.

Use the formula for the area of a parallelogram: A = base x height. We are given that the area of Lanie's room is 108 square feet, so we can write:

108 = base x height

We are also given that the rug is 6 feet wide and 10 feet long, so its area is:

A_rug = 6 x 10 = 60 square feet

Now we need to compare the dimensions to see if the rug will fit on the floor of Lanie's room. Let's start with the height of the parallelogram. We are given that the base is 9 feet, but we need to find the height. We can rearrange the formula for area to solve for height:

height = A / base

Plugging in the values we know, we get:

height = 108 / 9 = 12 feet

So the height of the parallelogram is 12 feet.

Now we can compare the dimensions:

- Compare the length of the rug to the height of the parallelogram: 10 feet > 12 feet (the rug is longer than the height of the room)
- Compare the widths of the rug and the room: 6 feet < 9 feet (the rug is narrower than the room)

Based on these comparisons, we can see that the rug is too long to fit in the room. Even though the rug is narrower than the room, its length is greater than the height of the room, so it would not fit in the space.

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Answer:

7x - 1

Step-by-step explanation:

Whole rectangle:

Length = x + 5

Width = x - 1

Area of the whole triangle = length × width

= (x + 5) (x - 1)

= x² - x + 5x - 5

= x² + 4x - 5

Unshaded rectangle:

Length = x + 1

Width = x - 4

Area of the unshaded rectangle = length × width

= (x + 1) (x - 4)

= x² - 4x + x - 4

= x² - 3x - 4

Area of the shaded region = Area of the whole rectangle - Area of the unshaded rectangle

= (x² + 4x - 5) - (x² - 3x - 4)

= x² + 4x - 5 - x² + 3x + 4

= 7x - 1

Area of the shaded region = 7x - 1

Answer:

The cost for the video game system is $96.90.

Step-by-step explanation:

We can use the radical rules to simplify the product 3(4x2). To start, we simplify 4 to its square root, which equals 2. Next, we employ the power property of radicals, which asserts that (a,m) = (a(m/2)), to simplify the cube root (x2) by using it. In this instance, (x2) = x.

We now get 3 * 2 * x, which simplifies to 6x when the simpler terms are combined.The result is that the product 3(4x2) has the simplest form (6x).We can dissect the constituent parts and use the radical-simulation principles to simplify the product 3(4x2).In the beginning, we may reduce the square root of 4 to 2: 3(2x2).Then, since it contains a square (2) and a cube root (), we can reduce them as follows:

3 * 2 * x^(²/³)Taking the square root before the cube root is shown by the exponent 2/3. We may calculate the exponent by reducing it to: 3 * 2 * x(2/3)The terms are then combined when we multiply the coefficients: 6 * x(2/3)As a result, 6x(2/3) is the product of 3(4x2) in its simplest form.

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Answer:
C=12
A=24

B=3
D=6

Step-by-step explanation:
so group A is half of the pie which means 48/2 , so group A is 24

and it says that the number of pupils in group B to the number of pupils in group D is 1:2

A/C=C/D= B/D = 1/2
24/C=1/2
c=12

since A/C=C/D= B/D = 1/2
and C=12, then

C/D=1/2
12/D=1/2
D=6

and B/D=1/2
while D is equal to 6 then,
B/6=1/2
B=3

That means there are 24 boys in group A, and there are 3 boys in group B and 12 girls in C, and 6 girls in group D.

hope it helped:)

The best technique to use when you have quarterly seasonality in data is linear regression.

The best technique to use when you have quarterly seasonality in data is linear regression with dummy variables. This technique allows you to model the trend and seasonality of the data separately, which can improve the accuracy of your forecasts.

Linear regression is a simple and powerful technique that can be used to model a wide variety of data.

Dummy variables are used to represent categorical variables in regression models. In the case of quarterly seasonality, you would create four dummy variables, one for each quarter.

This model would allow you to estimate the trend of the data, as well as the seasonal effects of the first, second, and third quarters.

Other techniques that could be used to model quarterly seasonality include:

Exponential regression

Power regression

Moving average

However, these techniques are generally less effective than linear regression with dummy variables.

Logit and probit are not appropriate for this type of data, as they are used for binary classification problems. Neural networks can be used for quarterly seasonality, but they are more complex and require more data than linear regression with dummy variables.

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Answer:

20

Step-by-step explanation:

Part            %

------    =     --------

Whole        100

The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

A unit circle is a circle with a unit radius.

Given that:

The terminal side of angle α intersects the unit circle at point (-0.292, 0.956).

Hence:

tan(α) = (0.956 / -0.292) = -3.274

The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)

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The probability of the sample having a average gas mileage between 27 and 29 miles per gallon will be 0.0116.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

In 2015, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken.

Then the probability the sample has a mean gas mileage between 27 and 29 miles per gallon will be

The value of the z-score at x = 27, we have average as

The value of the z-score at x = 29, we have

z= 0.16

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Answer:

Equation: 0.165 x = 69.3

x = 420 gallons

Explanation:

Let us call x the total number of gallons the family uses. then we know that 16.5 % (WHICH WE ARE TOLD IS 69. 3 GALLONS ) of it used for cooking, meaning

Dividing both sides by 0.165 gives

Hence, 420 gallons of water are used each day by a family.

The equation is y = 2.50x + 10.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Here, we have

Given: An international data plan charges $10.00 for 4GB of data. Anything over 4GB is priced at $2.50 per GB.

We have to find the equation that can be used to find y, the total cost of the international plan, if x represents the number of GB over 4.

Let the total cost of the international plan = y

x be the cost of the plan for over 4 GB.

Fixed charge for 4 GB = $10

Now y = 2.50x + 10

Hence, the equation is y = 2.50x + 10.

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Answer:

3/1 aka 3 :) also cute izuku pfp!!!!

Step-by-step explanation:

Using the properties of linear transformations, we can calculate that T(-3u) is equal to (-6,-3), T(6v) is equal to (12,12), and T(-3u+6v) is equal to (6,6).

Since T is a linear transformation, we know that it satisfies the following two properties:

1. T(cx) = cT(x) for all scalars c and vectors x

2. T(x + y) = T(x) + T(y) for all vectors x and y

Using these properties, we can calculate T(-3u) as follows:

T(-3u) = -3T(u) = -3(2,1)(2,1) = (-6,-3)

Similarly, we can calculate T(6v) as follows:

T(6v) = 6T(v) = 6(-1,3)(-1,3) = (12,12)

Finally, we can calculate T(-3u+6v) as follows:

T(-3u+6v) = T(-3u) + T(6v) = (-6,-3) + (12,12) = (6,6) Therefore, we have calculated that T(-3u) is equal to (-6,-3), T(6v) is equal to (12,12), and T(-3u+6v) is equal to (6,6).

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Answer:

See below

Step-by-step explanation:

This is a piecewise function with a domain of (-4,5) and a range of [1,6]. (-4,5) means x can be between -4 and 5, but -4 and 5 can't be included (notated by the parentheses). [1,6] means y can be between 1 and 6 where 1 and 6 are both included in the range (notated by the brackets).

The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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Answer:

To find a unit vector with the same direction as v = (-3, 6), we need to divide v by its magnitude. The magnitude of v can be calculated using the formula:  |v| = √(x^2 + y^2)

Step-by-step explanation:

where x and y are the components of v.

|v| = √((-3)^2 + 6^2) = √(9 + 36) = √45 = 3√5

To obtain the unit vector u in the same direction as v, divide v by its magnitude:

u = v / |v| = (-3/ (3√5), 6 / (3√5)) = (-1/√5, 2/√5)

Therefore, the unit vector u with the same direction as v = (-3, 6) is u = (-1/√5, 2/√5).

Following the same procedure as above, we find the unit vector u with the same direction as v = (-8, -2):

|v| = √((-8)^2 + (-2)^2) = √(64 + 4) = √68 = 2√17

u = v / |v| = (-8/ (2√17), -2 / (2√17)) = (-4/√17, -1/√17)

Therefore, the unit vector u with the same direction as v = (-8, -2) is u = (-4/√17, -1/√17).

To write DE as a linear combination of the vectors i and j, where i represents the unit vector along the x-axis and j represents the unit vector along the y-axis, we subtract the coordinates of the initial point D from the coordinates of the terminal point E:

DE = E - D = (6, -7) - (4, -5) = (6 - 4, -7 - (-5)) = (2, -2)

Therefore, DE can be written as a linear combination of the vectors i and j as DE = 2i - 2j.

Following the same procedure as above:

DE = E - D = (5, -2) - (-4, 3) = (5 + 4, -2 - 3) = (9, -5)

Therefore, DE can be written as a linear combination of the vectors i and j as DE = 9i - 5j.

Following the same procedure as above:

DE = E - D = (-5, -2) - (4, 6) = (-5 - 4, -2 - 6) = (-9, -8)

Therefore, DE can be written as a linear combination of the vectors i and j as DE = -9i - 8j.

Following the same procedure as above:

DE = E - D = (3, 7) - (2, 1) = (3 - 2, 7 - 1) = (1, 6)

Therefore, DE can be written as a linear combination of the vectors i and j as DE = i + 6j.

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Answer: 8

Step-by-step explanation:

Sequence: 1,2,2,4,8,32,256

After the first digit, the repeated pattern for the last digit is  2,2,4,8,2,6

So, the 35 term's final digit will be 8

Answer:

2/35

Step-by-step explanation:

Of the natural numbers from 1 to 70, we are looking for the ones which are divisible by 15. 15, 30, 45, and 60 are those numbers. So we have the probability of 4/70, which reduces to 2/35.

The probability was broken by Bob is, 0.003 or 3%.

What is probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

Alonzo, Bob, and Casper are each assigned three chances to bus tables and to fix any broken dishes, respectively.

P(Alonzo bussing tables) = 50% = 0.5

P(Bob bussing tables) = 15% = 0.15

P(Casper bussing tables) = 35% = 0.35

P(Alonzo breaking a dish) = 6% = 0.06

P(Bob breaking a dish)  = 2% = 0.02

P(Casper breaking a dish)  = 4% = 0.04

As the likelihood of dish breakage does not change with the busing of the tables, this is all about independent events.

Consequently, P(A and B) = P(A) + P (B)

So, if a dish is broken, the likelihood that Bob broke it is;

P(Bob breaking dishes and busing tables) = P(Bob busing tables) x P (Bob breaking a dish)

                                                                       = 0.15 x 0.02

                                                                       = 0.003

P(Bob breaking dishes and busing tables)  = 0.003 0r 0.3%

Hence, the probability was broken by Bob is, 0.003 or 3%.

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Answer:

Hi in my opinion option A SSS isda answer

Answer:

Step-by-step explanation:

There is no enough evidences of congruence

2 sides don't guarantee the third side or angle between them

Also the triangles are not right triangles

Therefore, False. The population linear regression line is composed of infinitely many population data points, not means of the normal density function.

Explanation:
The population linear regression line is composed of infinitely many population data points, not means of the normal density function. The line is determined by the relationship between two variables and is used to make predictions about one variable based on the other.


Therefore, False. The population linear regression line is composed of infinitely many population data points, not means of the normal density function

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