The pdf of a random variable, X, is given below: fx(x) = {kva k Skvm for 0 0.5). Compute the average or expected value of X. c.

Answer:

Exact Form:

x

=

1

2

,

5

2

x

=

1

2

,

5

2

Decimal Form:

x

=

0.5

,

2.5

x

=

0.5

,

2.5

Mixed Number Form:

x

=

1

2

,

2

1

2

Step-by-step explanation:

Appling percentages, if Ms. Lama marked the price of a a cosmetic items 25% above it's cost price and the cost price of the cosmetic items was Rs.4400 sold with 13% VAT, the selling price is $6,215.

The selling price is determined by increasing the cost price by the markup percentage and then the VAT percentage.

Cost price of the cosmetic items = Rs.4,400

Markup = 25%

Markup factor = 1.25 (1 + 0.25)

Marked up price = Rs.5,500 (Rs.4,400 x 1.25)

VAT = 13%

Markup ith VAT factor = 1.13 (1 + 0.13)

Selling price = Rs.6,215 (Rs.5,500 x 1.13)

Thus, Ms. Lama sold the cosmetic items at Rs.6,215, 13% VAT inclusive.

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If After five years of customer usage, 12 products out of 50 failed. The reliability of the product is :76%.

First step is to calculate the probability of not failed

Not failed=50-12

Not failed=38

Second step is to calculate the reliability of the product using this formula

Reliability= Good ones/Total

Let plug in the formula

Reliability=38/50

Reliability= 0.76×100

Reliability=76%

Therefore If After five years of customer usage, 12 products out of 50 failed. The reliability of the product is :76%.

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 (-7,∞) &  (−∞, 1/2] are the interval notation.

What is interval notation in math?

8x-5>=6x-1 or 4+4x<=3x-3

8x-5 ≥6x-1

8x - 5 ≥ 6x - 1

8x - 6x ≥  5 - 1

 2x ≥  1

   x ≥  1/2

Therefore, x could be any number less than or equal to 1/2. In interval notation, this looks like

 (−∞, 1/2]

4+4x ≤ 3x-3

4 + 4x ≤  3x - 3

4x - 3x ≤  -3 - 4

   x ≤  -7

Therefore, x could be any number less than -7 , but x couldn't be -7, since that would make the two sides of the inequality equal. In interval notation, this looks like:

   (-7,∞)

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Answer:

1330.5 cm³

Step-by-step explanation:

The volume of a cylinder is: V = πr²h

Substitute the values for those variables.

V = π(5.5)²(14)

V = π(30.25)(14)

V = 1330.5

10pack------------>$17.35

1 pack-------------->x

using cross multiplication

10/1 = 17.35/x

Solving for x:

x = 17.35/10 = $1.735

Therefore each pack costs $1.735

Answer:

yes

Step-by-step explanation:

Answer:

Yes of course

Step-by-step explanation:

because 2x is a variable and it can't be added further

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The measure of the exterior angle to ∠x in triangle xyz is 92.05°.

The exterior angle of a triangle is the angle between any side of the triangle and the line extending from the opposite vertex. It is formed by extending one of the sides of the triangle past the vertex that is opposite to it.

The measure of the exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

exterior to ∠x = ∠y + ∠z

exterior to ∠x = 63.25° + 28.8°

exterior to ∠x = 92.05°

Hence, the measure of the exterior angle to ∠x in triangle xyz is 92.05°.

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The correct answer to the question is (b) The predicted Y value will be below the mean for the Y scores. The coefficient -2 represents the slope of the line, which means that for every increase of 1 unit in X, Y will decrease by 2 units. The intercept 6 represents the point where the line intersects the Y-axis.

The equation y = -2X + 6 is a linear equation that describes the relationship between X and Y.Now, if the X value is above the mean (positive deviation), that means it is further to the right of the X-axis than the mean. This also means that the predicted Y value will be lower than the mean for the Y scores. This can be seen by plugging in a value that is above the mean into the equation, which will result in a negative value for Y. Therefore, the correct answer to the question is (b) The predicted Y value will be below the mean for the Y scores.
In summary, knowing the regression equation and the deviation of the X value from the mean allows us to predict the direction and degree of change in the Y value.

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\(2x+2y=-8 \implies x+y=-4 \implies y=-4-x\)

We can substitufe this result into the second equation.

\(-10x-5(-4-x)=-5 \\ \\ -10x+20+5x=5 \\ \\ -5x+20=5 \\ \\ -5x=-15 \\ \\ x=3 \implies y=-4-3=-7\)

\(\therefore\) The solution is \((3,-7)\).

Step-by-step explanation:

There are TWO triangles with base = 10  height = 24

   area of a triangle = 1/2 b* h  = 1/2 (10)(24) = 120 cm^2

        TWO of them totals 240 cm^2

then there is also THREE sides

 10 x 20       +   26 x 20       +     24 x 20 = 1200 cm^2

Add the two triangles to this to get the total surface area = 1440 cm^2

A right circular cylinder has two circular faces and one rectangular face.

We can find the surface area of the cylinder by summing the area of all three faces.

We use the formula:

Surface area of a right circular cylinder = 2πr² + 2πrh

Where r is the radius of the circular base and h is the height of the cylinder.

The surface area of a right circular cylinder is given by the formula:

Surface area of a right circular cylinder = 2πr² + 2πrh

Where r is the radius of the circular base and h is the height of the cylinder.

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Answer:

This question does not make sense. Is their an image that needs to be included?

Step-by-step explanation:

Answer:

Angle EAT is acute

Step-by-step explanation:

The hypothesis in a hypothesis test is an alternative hypothesis a statement about a parameter.

An alternative hypothesis in a hypothesis test is a statement about a parameter, not a statistic. The null hypothesis is typically a statement about a parameter that assumes there is no significant difference or relationship, while the alternative hypothesis is a statement that contradicts the null hypothesis and suggests there is a significant difference or relationship.

The alternative hypothesis can take one of three forms: it can be a one-tailed hypothesis (either greater than or less than the null hypothesis), or a two-tailed hypothesis (not equal to the null hypothesis). In all cases, the alternative hypothesis is a statement about the population parameter, which is typically denoted by a Greek letter such as μ (mean) or σ (standard deviation).

Therefore, the alternative hypothesis is a statement about the parameter being tested.

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The average of the table is 4 and the standard deviation is 1.1547.

The average of the table is calculated using the formula (Sum of all data points) / (Number of data points). In the given table, the average is (2 + 5 + 3 + 4 + 6 + 4 + 3) / 7 = 4.

The standard deviation is calculated using the formula (Sum of Squared Differences / (Number of Data Points -1))1/2. In the given table, the standard deviation is ((\(2-4^{2}\)+ \(5-4^{2}\) +\(3-4^{2}\) + \(4-4^{2}\) + \(6-4^{2}\) + \(4-4^{2}\) + \((3-4)^{2}\) / (7-1))1/2 = 1.1547.

Therefore, the average of the table is 4 and the standard deviation is 1.1547.

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Jimmy's age = (serena age + tyler age) - 1

rand() % 6 expression is most appropriate for randomly choosing a day of the week .

Rand generates random number and This number is produced using an algorithm that, each time it is run, outputs a string of numerical values that seem unrelated.

A % B generates the number less than or equal to the B.

Therefore , for randomly choosing a day of the week we can use  rand() % 6 as there are 7 days in a week and  rand() % 6 returns any number between 0 to 6 as Total 7 days.

The best statement for choosing a day of the week at random is rand()% 6.

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It will take Tallulah approximately 141.17 minutes, or about 2 hours and 22 minutes, to completely fill the tank without it overflowing.

The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

By dividing the volume of the tank by the rate of filling, we can find the time it takes to completely fill the tank.

Here we have

A cylindrical tank has a height of 11 feet and a diameter of 14 feet.

Hence, Radius of tank = 14/2 = 7 feet

Tallulah fills the tanks with water at a rate of 12 cubic feet per minute.

Using the volume formula, V = πr²h

V =  π(7²)(11) = 1694 cubic feet

Tallulah fills the tank at a rate of 12 cubic feet per minute.

=> 1694 / 12 = 141.17 minutes

Therefore,

It will take Tallulah approximately 141.17 minutes, or about 2 hours and 22 minutes, to completely fill the tank without it overflowing.

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Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

The total expected number of circuit boards with defects out of the 100 made is 2 times the expected number of defective batches, which is:μ = 2 * 0.5 * 2≈ 2.

a. The probability that out of 100 circuit boards made exactly 2 have defects is calculated using the binomial distribution formula:

P(X = k)

= nCk * p^k * (1-p)^(n-k)

where n

= 100, p

= 0.01, and k

= 2. Thus,

P(X = 2)

= 100C2 * (0.01)^2 * (0.99)^98≈ 0.37b.

The probability that out of 100 circuit boards made at least 2 have defects can be calculated using the complement rule

.P(X ≥ 2)

= 1 - P(X < 2)

= 1 - P(X = 0) - P(X = 1)

where n

= 100, p

= 0.01. Thus,

P(X = 0)

= 100C0 * (0.01)^0 * (0.99)^100≈ 0.366P(X = 1)

= 100C1 * (0.01)^1 * (0.99)^99≈ 0.369

Therefore

,P(X ≥ 2) ≈ 1 - 0.366 - 0.369≈ 0.265c.

The expected number of circuit boards with defects out of the 100 made is given by the formula:μ

= n * p where n

= 100 and p

= 0.01. Therefore,μ

= 100 * 0.01

= 1d.

If the circuit boards are made in batches of two, then there are 50 batches of two circuit boards each. The probability that a batch has a defect is 1%. Therefore, the probability that a batch is defect-free is 99%.a. The probability that out of 100 circuit boards (50 batches) at least 2 have defects is calculated using the binomial distribution formula:P(X ≥ 2)

= 1 - P(X < 2)

= 1 - P(X = 0) - P(X = 1)

where n

= 50, p

= 0.01. Thus,P(X = 0)

= 50C0 * (0.01)^0 * (0.99)^50≈ 0.605P(X = 1)

= 50C1 * (0.01)^1 * (0.99)^49≈ 0.324

Therefore,

P(X ≥ 2) ≈ 1 - 0.605 - 0.324≈ 0.071b.

The expected number of circuit boards with defects out of the 100 made can be calculated as follows:For each batch of two circuit boards, either both have a defect or both are defect-free. Therefore, the number of defective circuit boards in each batch follows a binomial distribution with n = 2 and p = 0.01. The expected number of defective circuit boards in each batch is given by the formula:μ = n * pwhere n

= 2 and p

= 0.01.

Therefore,

μ

= 2 * 0.01

= 0.02The expected number of defective batches out of 50 batches is given by the formula:

μ = n * pwhere

n = 50 and

p = 0.01.

Therefore,

μ = 50 * 0.01

= 0.5.

The total expected number of circuit boards with defects out of the 100 made is 2 times the expected number of defective batches, which is:

μ = 2 * 0.5 * 2≈ 2.

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The answer to the question is that the standard error of the mean (SEM) is 3.

Itis calculated by dividing the population standard deviation (σ) by the square root of the sample size (n).

In statistical analysis, the standard error of the mean is a measure of the variability or uncertainty of the sample mean compared to the true population mean. It is used to estimate the precision or accuracy of the sample mean as an estimate of the population mean. The formula for calculating the SEM is:

SEM = σ / √n

Where SEM is the standard error of the mean, σ is the population standard deviation, and n is the sample size.

Given that the population standard deviation is 18 and the sample size is 36, we can use the formula above to calculate the standard error of the mean as:

SEM = 18 / √36 = 3

Therefore, the standard error of the mean is 3.

The standard error of the mean is an important concept in statistics that helps us to interpret the results of a sample and draw conclusions about the population. It is important to note that as the sample size increases, the standard error of the mean decreases, indicating greater precision or accuracy of the sample mean. In contrast, as the population standard deviation increases, the standard error of the mean also increases, indicating greater variability or uncertainty in the sample mean. Therefore, the SEM is a useful tool for understanding the reliability and generalizability of sample data to the population.

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Answer:

Step-by-step explanation:

first, you have to find the equation of the perpendicular bisector of this given line.  

to do that, you need the slope of the perpendicular line and one point.

Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3

the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3  

step 2: find the middle point: x=(-20+10)/2=-5, y=(15+5)/2=10      (-5, 10)

so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)

now plug in all the given coordinates to the equation to see which pair fits:

(-8, 19): 19-10=9, -3(-8+5)=9, so yes, (-8, 19) is on the perpendicular line.  

try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint.

Answer:

It's A, B, and D.

Explanation:

A-(−8, 19)

B-(1, −8)

D-(−5, 10)

Happy schooling!!

Answer:C

Step-by-step explanation:

Answer:

take more

Step-by-step explanation:

Answer:

YOU ARE THE BEST PERSON EVER DONT LET ANYONE TELL YOU DIFFERENT

Step-by-step explanation:

Answer:

80.25

Step-by-step explanation:

Answer:

15 centimeters.

Step-by-step explanation:

We must calculate the volume of each cylinder and add it, like this:

v = pi * (r ^ 2) * l

replacing:

v1 = 3.14 * (5 ^ 2) * 7

v1 = 549.5

v2 = 3.14 * (10 ^ 2) * 5

v2 = 1570

The sum would be:

549.5 + 1570 = 2119.5

That would be the volume of the cylindrical disk, this case would be the same formula only that it would not be length but thickness, like this:

v = pi * (r ^ 2) * t

we want to know r, therefore:

r ^ 2 = v / pi * t

replacing:

r ^ 2 = 2119.5 / (3.14 * 3)

r ^ 2 = 225

r = 15

which means that the radius would be 15 centimeters.

Answer:

-3

Step-by-step explanation:

Variables are letters which are used to represent particular unknown quantities in equations.

Now the variable in this question is x.

When we talk about coefficient , we mean the number before the variable in question.

We can see that the variable is written as -3x

-3 is the value before the variable so we can agree that -3 is its coefficient

Answer:

its -3, i took the test

Have a great day!!

Step-by-step explanation:

The Kutta-Joukowski theorem, which is represented by equation (3.140), was originally derived for the case of a lifting cylinder. However, it can also be applied to a two-dimensional body of arbitrary shape, as stated in section 3.16.

A more detailed explanation of the answer.
To make a physical argument for this generalization, we can draw a closed curve around the body.

The key is to draw the curve far enough away from the body such that the body appears as a very small speck in the middle of the domain enclosed by the closed curve.

By doing this, we are essentially treating the body as a point object at the center of the curve. Since the body is now a very small speck in comparison to the large domain, its specific shape becomes insignificant to the overall flow around it.

Therefore, the lifting force calculations derived from the Kutta-Joukowski theorem for the lifting cylinder should also apply to the two-dimensional body of arbitrary shape, as long as the body is small in comparison to the domain enclosed by the closed curve.

This physical argument allows us to accept that equation (3.140) can be applied in general to a two-dimensional body of arbitrary shape without requiring a mathematical proof.

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