What values of the random variables would you consider​ unusual? Explain your reasoning. On​ average, nothing out of 6 women would consider themselves baseball​ fans, with a standard deviation of nothing women. The values x=5 and x=nothing would be unusual because their probabilities are ▼ equal to less than greater than 0.05. ​(Round to the nearest tenth as​ needed.)

The required answer is  a 5 5 matrix is a diagonalizable.

Explanation,

Yes, the matrix a is diagonalizable. This is because if a 5x5 matrix has two eigenvalues, and one eigenspace is three-dimensional while the other is two-dimensional, then the matrix is guaranteed to be diagonalizable. This is because the sum of the dimensions of the One eigenspace is three-dimensional, and the other eigenspace is two-dimensional. A matrix is diagonalizable if the sum of the dimensions of its eigenspaces is equal to the size of the matrix. In this case, the dimensions of the eigenspaces are 3 and 2, which add up to 5. Since the size of the matrix A is also 5 the sum of the dimensions of the eigenspaces is equal to the size of the matrix. Therefore, matrix A is diagonalizable. must equal the size of the matrix , and because the eigenvectors associated with each eigenvalue form a linearly independent set, it is possible to diagonalize the matrix using those eigenvectors. Therefore, a is diagonalizable because the dimensions of its eigenspaces add up to 5 and its eigenvectors are linearly independent.

The study of matrices is a large part of linear algebra, and most properties and operations of abstract linear algebra can be expressed in terms of matrices.

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The appropriate frame size for the given task set is 140.

The frame size is the length of a time interval in which all the tasks in the system are scheduled to be executed. The frame size must be a multiple of the period of each task in the system.

In this case, the periods of the tasks are 5, 7, 12, and 45. The smallest common multiple of these periods is 140. Therefore, the appropriate frame size for the given task set is 140.

Here is a more detailed explanation of the calculation of the frame size:

The first step is to find the least common multiple of the periods of the tasks. The least common multiple of 5, 7, 12, and 45 is 140.

The second step is to check if the least common multiple is also a multiple of the execution time of each task. The execution time of each task is equal to its period in this case. Therefore, the least common multiple is also a multiple of the execution time of each task.

Therefore, the appropriate frame size for the given task set is 140.

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Answer:

a = 3

the other root = -7/3

Answer:

The decrease is 21%

Step-by-step explanation:

So lets say the Original area is Pi X (Radius^2)

Lets call Radius as R

For the new radius, it would be: R + 0.1R which is 1.1R

The new area is: Pi X 1.1R^2, which going further is 1.21 after squaring 1.1.

The Original area is: Pi X Radius^2

To find the percent decrease, subtract the new area by the original, cross out Pi X Radius squared and you are only left with 21%

I am in middle school so I don't know if it is going to be incorrect, but I ask you to give it a try and tell me if it was right or not. I have barely done this topic but recently I had a bonus homework question on a question almost exactly like this and this is the way I did it and I was correct. Thanks! Hope it helped! :)

Answer:

19%

Step-by-step explanation:

I got it correct in the rsm

Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.

This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.

The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.

In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.

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Answer:

56 inches

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

Here A = 196 , then

s² = 196 ( take square root of both sides )

s = \(\sqrt{196}\) = 14

The perimeter is the sum of the 4 congruent sides , so

perimeter = 4 × 14 = 56 inches

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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The 15% discount for home gym, and the $889 cost of the Flex 3,000 gives;

1. f(x) = 0.85•x + 139.95

2. With the deal, Charlotte's before tax cost is $895.6

The deal cost is more than the initial price making the deal not worth it.

1. We are given;

The percentage discount Charlotte gets = 15% = 0.15

Cost of the 6 months subscription = $139.95

Now, to get the function;

f(x) = Final before tax

x = Price of the home gym equipment

Therefore, using the discount of 15%, we will have;

f(x) = (1 - 0.15)x + 139.95

f(x) = 0.85x + 139.95

2. We are told that the cost of the Flex3000 is x = $889

Therefore;

f(889) = (0.85 × 889) + 139.95

f(889) = 895.6

Charlotte's before–tax cost with the deal will therefore be, $895.6

Since the workout channel holds no value to Charlotte, and then the deal cost is higher than the initial cost, then we can say that it isn't worth it for her to pay for the subscription to get the 15% discount

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Complete question is;

Charlotte has been saving up to buy a home gym so she can work out at home without having to pay for a

gym membership or worry about travel when the weather is bad (she lives in Minnesota where it snows

frequently). One day, she sees an ad for a 15% off sale at a fitness equipment store and decides it's a great

time to buy the home gym! She notices the fine print says that to get the 15% off the home gym, she has to

pay $139.95 up front for a 6-month subscription to a workout channel, which holds no value to her.

1. Using function notation, write an expression for the final before-tax cost, f(x), of the purchase

based on the initial price, x, of the home gym equipment with this deal.

2. She was considering purchasing the Awesome Flex3000 for $889. Using your function from

question 1, what would Charlotte be Charlotte's before-tax cost with the deal? Is it worth it for

her to pay for the subscription to get 15% off? Explain your answer.

Answer:

2x+3 :)

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Because if you take 3/4 x 4/5 you can cross simplify the 4's in the equation and they cancel eachother out, so then u are left off with 3/1 x 1/5 and then you get 3/5

Answer: c=(dar+v)/ar

Step-by-step explanation:

v=ar(c-d)

v/ar=ar(c-d)/ar

v/ar=c-d

d + v/ar=c-d+d

dar/ar + v/ar=c

c=(dar+v)/ar

Answer:

10

Step-by-step explanation:

10

hope this helps : )

The value of y is 2/3

An algebraic expression is an expression made up of variables and constants, along with algebraic operations such as addition, subtraction, multiplication, division, etc

Given;

8y+4(5y-3)

With the knowledge of BODMAS,

Expand the bracket

8y + 20y - 12

Now, let's add like terms

18y - 12

Make into an equation

18y - 12 = 0

18y = 12

Make 'y' the subject of formula

y = 12/ 18

Find a common divisor

y = 2/ 3

Thus, the value of y is 2/3

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Answer: The problem asks to solve for x. Equation B gives you the value of y, y = 2, so you can substitute 2 into Equation A for y.

Step-by-step explanation:

To accumulate $100,000 over 20 years at a 10% annual interest rate compound annually, you would need to make annual payments of $8,218.64.

You can use the formula for the future value of an annuity to accumulate $100,000 over 20 years at a 10% annual interest rate compound on a yearly basis:

\(FV = Pmt * [(1 + r)^n - 1] / r\)

Where:

FV is future value, which is $100,000 in that case

Pmt: annual payment

r: annual interest rate, which is 10%

n: number of payment periods, which is 20

By plugging in values:

\($100,000 = Pmt * [(1 + 0.1)^(20) - 1] / 0.1\)

Solving for Pmt, we get:

\(Pmt = $100,000 / [(1 + 0.1)^(20) - 1] / 0.1\\Pmt = $100,000 / 12.167\\Pmt = $8,218.64\)

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Answer: 5, | 4 |, | -1 |, -2

Answer:

0, l-1l, l-2l, l4l, 5

Step-by-step explanation:

The absolute value bars l l, turn any negative number positive and any positive number remains positive.

Answer:

First what you want to do is find what fraction is equal to 1/4 and has a denominator of 20.

The way you can find this is by taking 1/4 and seeing how many times the denominator or 4 will go into 20.

4 * 5 = 20

Since 4 times 5 is 20, we will multiply 5 to the numerator of the fraction to.

1 * 5 = 5

So 5/20 is = to 1/4

x = 5

Now the question says, " x less thsn the denominator" so we just need to find how much less is 5 compared to 20.

20 - 5 = 15

The numerator has a value, "15 less than the denominator."

Step-by-step explanation:

Hope this helps! =D

Answer:

540,000,000,000

Step-by-step explanation:

An easy way to remember how to solve these problems when you have this many zeroes is to multiply the numbers other that zero together and add however many zeroes are in the problem or equation. Hope this helped!!

Answer: UWU look at the screenshot please hope I helped good luck U3U U3U

Step-by-step explanation:

Answer:

Answer: Sin0 = 8/8.5

Step-by-step explanation:

Step-by-step explanation: What we have is a right angled triangle, with two sides given and one angle which is the reference angle (unknown angle).

The Sine of the angle is calculated as

Sin0 = opposite/hypotenuse

We have the opposite side (facing the reference angle) as 8 units and the hypotenuse (facing the right angle unknown), which we shall label as X.

To calculate the hypotenuse, we shall apply the Pythagoras theorem which is,

X² = 3² + 8²

X² = 9 + 64

X² = 73

Adding the square root sign to both sides of the equation, we now have

X = √73

X = 8.5 (approximately)

Now that we have the hypotenuse as 8.5, the Sine of the angle can now be calculated as

Sin0 = opposite/hypotenuse

Sin0 = 8/8.5

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\\)

From the question the points are

C(3,4) and F(9,8)

The midpoint is

\(M = ( \frac{3 + 9}{2} \: , \: \frac{4 + 8}{2} ) \\ = ( \frac{12}{2} \: , \: \frac{12}{2} )\)

We have the final answer as

Hope this helps you

Answer: (6,6)

Step-by-step explanation:

Answer:

77.472222 etc

Step-by-step explanation:

The proof of  \(\lim_{z \to i}\) (3z⁴ - 2z³ + 8z² - 2z + 5)/(z - i) = 4+4i, by using L-Hopital Rule is explained below.

We have to prove that, the limit for the function (3z⁴ - 2z³ + 8z² - 2z + 5)/(z - i) is 4i+4,

\(\lim_{z \to i}\) (3z⁴ - 2z³ + 8z² - 2z + 5)/(z - i);

On substituting z=i, we get 0/0 form,

So, we apply L-Hopital Rule, that is  we differentiate the numerator and denominator with respect to "z"

We get,

\(\lim_{z \to i}\) (d/dz(3z⁴ - 2z³ + 8z² - 2z + 5))/d/dz(z - i),

\(\lim_{z \to i}\) (12z³ - 6z² + 16z - 2)/1,

Substituting z=i,

We get,

= (12(i)³ - 6(i)² + 16(i) - 2),

= -12i + 6 + 16i - 2,

= 4i + 4,

Hence, Proved.

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The given question is incomplete, the complete question is

Prove that \(\lim_{z \to i}\) (3z⁴ - 2z³ + 8z² - 2z + 5)/(z - i) = 4+4i.

The gamma distribution with parameters $\alpha$ and $\beta$ is a probability distribution that can be derived using the transformation $x = \beta y$.

The probability density function of the gamma distribution is:

f(x; α, β) = \frac{(\beta x)^{\alpha - 1} e^{-\beta x}}{\Gamma(\alpha)}

where $\alpha$ is the shape parameter and $\beta$ is the rate parameter.

The derivation is as follows:

* The gamma function is defined as:

Γ(α) = \int_0^{\infty} x^{\alpha - 1} e^{-x} dx

* Using the transformation $x = \beta y$, we get:

Γ(α) = \int_0^{\infty} (\beta y)^{\alpha - 1} e^{-\beta y} \beta dy

* We can then write the probability density function of the gamma distribution as:

f(x; α, β) = \frac{1}{\Gamma(\alpha)} \int_0^{\infty} (\beta y)^{\alpha - 1} e^{-\beta y} \beta dy

* This is the same as the probability density function of the gamma distribution with parameters $\alpha$ and $\beta$.

The mean and variance of the gamma distribution can be found using the following formulas:

E(X) = \alpha \beta

Var(X) = \alpha \beta^2

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The arithmetic mean annual number of people receiving a bachelor's degree in Journalism is about 7,833.

To find the arithmetic mean annual number of people receiving a bachelor's degree in Journalism over the past seven years, we need to calculate the average of the given data set.

The data set representing the number of people receiving bachelor's degrees in Journalism for each of the seven years is:

4,033

5,642

6,407

7,753

8,719

11,154

11,121

To find the mean, we sum up all the values and divide by the total number of years (in this case, seven).

Mean = (4,033 + 5,642 + 6,407 + 7,753 + 8,719 + 11,154 + 11,121) / 7

= 54,829 / 7

≈ 7,832.714

Rounding to the nearest whole number, the arithmetic mean annual number of people receiving a bachelor's degree in Journalism over the past seven years is approximately 7,833.

Therefore, the arithmetic mean annual number of people receiving a bachelor's degree in Journalism is about 7,833.

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The numbers are 49 and 7 when both are positive and their sum is 56, is equal to the square of the other if they are both positive.

Given that,

We have to find the number that, if both are positive and their sum is 56, is equal to the square of the other if they are both positive.

We know that,

Let the numbers be x and y.

x=y²

x and y are positive

Sum is 56

x+y=56

Substitute x =y² in equation

y²+y=56

y²+y-56=0

y²+8y-7y-56=0

y(y+8)-7(y+8)=0

(y+8)(y-7)=0

y=7 and -8

The number are positive so y is 7.

Substitute x=y²

x=7²

x=49

Therefore, The numbers are 49 and 7 when both are positive and their sum is 56, is equal to the square of the other if they are both positive.

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The equation relating x and y when they vary inversely is y = 75/x. (option-a)

When two variables are said to vary inversely, it means that as one variable increases, the other decreases, and vice versa, so their product remains constant. In this case, we are told that x and y vary inversely. Therefore, we can write:

\(x \times y\)= k

where k is a constant.

Given that x = 15 when y = 5, we can substitute these values into the above equation to solve for the constant k:

\(15 \times 5\) = k

k = 75

Now we can substitute the value of k into the equation to get:

\(x \times y\) = 75

Dividing both sides of this equation by x, we get:

y = 75/x

So, the answer is: y = 75/x.(option-a)

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Step-by-step explanation:

I assume ( 0, -6)  is the center

so you have

  (x- 0)^2  + ( y - - 6)^2 = r^2    

         r is the radius and is the distance from the center to the point given

            use distance formula to find  r

               d^2 = ( 0- - sqrt(28))^2  + ( -6 - -3)^2

                d^2 =   28 + 9

                  d = sqrt (37)       <======radius  

then your equation becomes

x^2 + ( y+6)^2 = 37

Answer:

30 yd²

Step-by-step explanation:

rectangle area = 6 x 4 = 24

triangle area = 1/2 x 3 x 4 = 6

24 + 6 = 30 yd²

also could be figured this way:

area = 1/2(b1 + b2)(h)

1/2(6 + 9)(4) = 30 yd²

Answer: A. \(9x^2 - 16y^2\) .

Step-by-step explanation:

From all the options only option A has both terms square and they minus sign between them.

Also, \(9x^2 - 16y^2= (3x)^2-(4y)^2=(3x+4y)(3x-4y)\)

Here a= 3x and b= 4

Hence, the correct answer is A. \(9x^2 - 16y^2\) .

Answer:

A

Step-by-step explanation: