Give an example of a non-degenerate discrete random variable X such that X and 1/X have the same distribution. Write down the cumulative distribution function of X with domain R.

Answer:

C. The cost per pizza for 3 pizzas divided by 8 people

Step-by-step explanation:

This is the only answer where you are multiplying by 3 and dividing by 8

Therefore , the solution of the given problem of inequality comes out to be x = 12.5°.

An inequality in mathematics is a linear relationship or a set of integers even without equal sign. Equilibrium follows equity ineluctably. Inequality exists between two variables when they are not equal. There are distinctions between equality and inequality. I've selected the most prevalent symbol because when variables aren't identical or comparable (). Any number of inequalities, no matter how little or large, can be used to compare values.

Here,

Given :4x -10 = 40

=> 4x = 40 + 10

=>  4x =50

=> x  =50/4

=>x= 12.5°

Therefore , the solution of the given problem of inequality comes out to be x = 12.5°.

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Answer:

115°

Step-by-step explanation:

They are the same angle because we know the lines are parallel.

Answer:

115°

Step-by-step explanation:

alternate exterior, they're the same

Answer:

x = 26

Step-by-step explanation:

If Y= x - 12 and Y = 14

Then we input the value of y which gets us the equation of: 14 = x - 12

Now we add 12 on both sides to isolate the variable.

We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x

Easily we can find that 26=x

The solution is, the measure of angle 7 is, ∠7 = 145°.

Here, we have,

∠4 and ∠8 are corresponding angles

∠8 and ∠7 are supplementary angles

so, we get,

Then, ∠4 and ∠7 are supplementary angles.

This means that

∠4 + ∠7 = 180°

we, have,

35° + ∠7 = 180°

so, we get,

∠7 = 180° - 35°

or, ∠7 = 145°

Hence, The solution is, the measure of angle 7 is, ∠7 = 145°.

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complete question:

Oak Street and Elm Street run parallel to each other. When Main Street interest them, it forms interior angle 4, and measuring 35 degrees. What is the measure of angle 7 ?

The remaining area is 1 - 0.01 = 0.99.

Therefore, the correct answer is:

-2.33

Using a standard normal distribution table or a calculator, we can find the z-value that corresponds to an area of 0.99 to be approximately 2.33 (rounded to two decimal places).

To find the critical value of z for a hypothesis test at the 1% significance level, we need to determine the z-value that corresponds to the desired level of significance.

Since the alternative hypothesis is H:p < 0.31, it is a left-tailed test. At the 1% significance level, the critical value zα can be found by subtracting the significance level from 1 and then finding the z-value that corresponds to the remaining area under the standard normal curve.

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Answer:

The number 0.737337333733337333337...0.737337333733337333337... is irrational because it is a decimal that does not repeat or terminate

Step-by-step explanation:

it is not repeating or terminating which means it is irrational

The given number 0.737337333733337333337... non-repeating and non-terminating so it will be an irrational number.

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

In another word, irrational numbers are those numbers that can not terminate.

For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.

Given the decimal 0.737337333733337333337... it not repeating and nonterminating so we cannot convert it into the fraction p/q such that p and q both remain integers.

Hence "The given number 0.737337333733337333337... non-repeating and non-terminating so it will be an irrational number".

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The Volume of the Pyramid=19.19in³

Surface Area of  the Pyramid=48.65in²

Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.

First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers. Calculating the volume of numerous common three-dimensional forms is made simple by arithmetic formulas. The volumes of increasingly complicated shapes can be calculated using integral calculus.

Given that,

Height of the pyramid =4.7

Pyramid's slant height= 5.2

Base of pyramid is a square with side=3.5

Volume of the pyramid=(1/3)(3.5×3.5)×(4.7)

=19.19 in³

The surface area of a pyramid=((1/2)×(4×3.5)×5.2)+(3.5×3.5)

=18.65in²

Therefore, the volume of the pyramid=19.19 in³

And the surface area of the pyramid=18.65in²

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Answer:

THE SECOND OPTION

Step-by-step explanation:

Given data:

The given image of the function.

Here , there are some element in set A which have common image in set B, so the given function is one to many.

Thus, the second option is correct.

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Answer:

AC = 6.35 in.

Step-by-step explanation:

BC times CD

4.2(9.6) = 40.32

The square root of 40.32 = 6.3498031465550174172038778087342

Round your answer to the nearest hundredth

AC = 6.35 in.

Answer:

y² = 7

Step-by-step explanation:

Answer:

Health paid less per cookie

Step-by-step explanation:

hope this helps :)

The conditional expectation E(X | Y = y) for all y is:

E(X | Y = y) = (y + 1) / 2.

To find the conditional expectation E(X | Y = y), we need to calculate the expected value of X given that the sum of the two dice is y.

Let's consider all possible values of y from 2 to 12 (the possible sums of rolling two dice):

For y = 2:

The only possible combination is (1, 1). In this case, X can only take the value 1. Therefore, E(X | Y = 2) = 1.

For y = 3:

The possible combinations are (1, 2) and (2, 1). In both cases, the value of X is 1. Therefore, E(X | Y = 3) = 1.

For y = 4:

The possible combinations are (1, 3), (2, 2), and (3, 1). In these cases, the value of X can be 1, 2, or 3. Taking the average, we have E(X | Y = 4) = (1 + 2 + 3) / 3 = 2.

Similarly, we can calculate the conditional expectations for y = 5, 6, 7, 8, 9, 10, 11, and 12:

For y = 5: E(X | Y = 5) = (1 + 2 + 3 + 4) / 4 = 2.5

For y = 6: E(X | Y = 6) = (1 + 2 + 3 + 4 + 5) / 5 = 3

For y = 7: E(X | Y = 7) = (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5

For y = 8: E(X | Y = 8) = (2 + 3 + 4 + 5 + 6) / 5 = 4

For y = 9: E(X | Y = 9) = (3 + 4 + 5 + 6) / 4 = 4.5

For y = 10: E(X | Y = 10) = (4 + 5 + 6) / 3 = 5

For y = 11: E(X | Y = 11) = (5 + 6) / 2 = 5.5

For y = 12: E(X | Y = 12) = 6

In summary, the conditional expectation E(X | Y = y) for all y is given by:

E(X | Y = 2) = 1

E(X | Y = 3) = 1

E(X | Y = 4) = 2

E(X | Y = 5) = 2.5

E(X | Y = 6) = 3

E(X | Y = 7) = 3.5

E(X | Y = 8) = 4

E(X | Y = 9) = 4.5

E(X | Y = 10) = 5

E(X | Y = 11) = 5.5

E(X | Y = 12) = 6

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Answer:

The answer is A.

This is because adding 5 to both sides of the original equation gives us A.

An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

"The equations that have the same answer or solution."

For given question,

We have been given an equation 3r = 90 - 5

We know that the addition property of equality which states that  when the same quantity is added to both sides of an equation, the equation does not change.

⇒ 3r = 90 - 5

Add 5 on the both the sides of the equations.

⇒ 3r + 5 = 90 - 5 + 5

⇒ 3r + 5 = 90 + 0

⇒ 3r + 5 = 90

Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

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The length of the midsegment of the trapezoid ABCD is 4.15 units

From the question, we have the following parameters that can be used in our computation:

Parallel sides =  7.3 and 5.5

The length of the midsegment of the trapezoid ABCD is calculated as

Midsegment = 1/2(Sum of parallel sides)

Substitute the known values in the above equation, so, we have the following representation

Midsegment = 1/2 * (7.3 + 5/5)

Evaluate

Midsegment = 4.15

Hence, the Midsegment is 4.15

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Answer: height = 1.91 m

Step-by-step explanation: Using the formula

V=πr2h

Solving for h

h=V

πr2=37.5

π·2.52≈1.90986m

If line J is perpendicular of line K, they should cross to make an X. If the slope of line K is -5, Line J would be 5.

The required length of the rectangle is 89 m.

Given that,
The area of a rectangular field is 6942 m. If the width of the field is 78 m, what is its length is to be determined.

Perimeter is the measure of the figure on its circumference.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

The area of the rectangle = length * width
                                6942  = length * 78
                                length = 89 m

Thus, the required length of the rectangle is 89 m.

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The value of x in 3.17 and value of segment LN is 6.34.

The value of x in the given expression is calculated as follows;

The value of x in the given equation can be determined by summing segment LN and MN.

LN + LM = MN

2x + 4x + 8 = 27

6x + 8 = 27

collect like terms

6x = 27 - 8

6x = 19

x = 19/6

x = 3.17

LN = 2 x 3.17

LN = 6.34

Thus, the value of x in 3.17 and value of segment LN is 6.34.

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Answer:

1.8%

Step-by-step explanation:

2.85-2.80=$0.05

$0.05 x 100 = 5

5/2.80=1.78

1.8

A parking sign is in the shape of a square. The area in square centimeters, is given by the equation: l^(2)=400 The length, l, of one side of the sign is  20 centimeters.

The equation l^2 = 400 represents the relationship between the length of one side of the square (l) and its area. To find the length of one side, we need to solve for l. In this case, we can take the square root of both sides of the equation to isolate l.

Taking the square root of 400, we get l = √400 = 20.

Therefore, the length of one side of the parking sign is 20 centimeters.

By substituting the value of l back into the equation, we can verify that it satisfies the equation: (20)^2 = 400, which is true.

Hence, the length of one side of the square parking sign is 20 centimeters.

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To find the point P on the line y=3x that is closest to the point (50,0), we need to use the formula for the distance between a point and a line. This formula is:

distance = |Ax + By + C| / sqrt(A^2 + B^2)

Where A, B, and C are the coefficients of the equation of the line in the form Ax + By + C = 0.

In this case, the equation of the line y=3x can be written as -3x + y = 0. So we have:

A = -3, B = 1, C = 0

Now we can plug in the values of (50,0) and solve for x and y to find the point P that is closest to it:

distance = |-3x + y| / sqrt((-3)^2 + 1^2)
distance = |-3x| / sqrt(10)

To minimize the distance, we need to minimize |-3x|. This occurs when x = 0. So the point P that is closest to (50,0) is the point (0,0).
To find the point P on the line y = 3x that is closest to the point (50, 0), we need to minimize the distance between P and (50, 0).

Let P(x, y) be a point on the line y = 3x. The distance between P and (50, 0) is given by the distance formula:

D = sqrt((x - 50)^2 + (y - 0)^2)

Since y = 3x, we can rewrite the distance formula as:

D = sqrt((x - 50)^2 + (3x)^2)

To minimize the distance, we can minimize the square of the distance (D^2), as it avoids dealing with the square root:

D^2 = (x - 50)^2 + (3x)^2

Now, we can find the derivative of D^2 with respect to x and set it to 0 to find the critical points:

d(D^2)/dx = 2(x - 50) + 2(3x)^2 * 6x = 0

Solve this equation to find the x-coordinate of the point P. Then, use y = 3x to find the corresponding y-coordinate. Finally, you'll have the coordinates of the point P that is closest to (50, 0).

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Answer:

Step-by-step explanation:

0.825 = 33/40 as a fraction

To convert the decimal 0.825 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.825 = 0.825/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,

0.825/1

= (0.825 × 1000)/(1 × 1000) = 825/1000.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(825,1000) = 25. So,

(825÷25)/(1000÷25) = 33/40

when reduced to the simplest form.

The answer is option (b) 825/1000, 0.825 is equivalent to 825/1000.

A fraction represents a part of a whole.

To convert a decimal to a fraction

we can write the decimal as the numerator of a fraction with a denominator of 1,

Multiply both the numerator and denominator by a power of 10 to get rid of the decimal.

For 0.825, we can write it as:

0.825 = 825/1000

So, the answer is option (b) 825/1000, 0.825 is equivalent to 825/1000.

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Let's denote the time it takes for the student aide to complete the job alone as "x" minutes.

According to the given information, the teacher can assemble and staple the newsletter three times faster than the student aide. Therefore, the teacher's time to complete the job alone is "x/3" minutes.

When they work together, their combined work rate is the sum of their individual work rates. We can express this as:

1/x + 1/(x/3) = 1/21

To simplify the equation, we can multiply through by the least common multiple (LCM) of the denominators,

which is 3x:

3 + 3/x = x/(21x)

Multiplying both sides of the equation by 21x:

63x + 63 = x^2

Rearranging the equation:

x^2 - 63x - 63 = 0

Now we can solve this quadratic equation for "x" using factoring, completing the square, or the quadratic formula.

Factoring is not straightforward in this case, so let's solve it using the quadratic formula:

x = (-(-63) ± sqrt((-63)^2 - 4(1)(-63))) / (2(1))

Simplifying:

x = (63 ± sqrt(3969 + 252)) / 2

x = (63 ± sqrt(4221)) / 2

Now, calculating the square root:

x ≈ (63 ± 64.98) / 2

We have two possible solutions:

x ≈ (63 + 64.98) / 2 ≈ 128.98 / 2 ≈ 64.49

or

x ≈ (63 - 64.98) / 2 ≈ -1.98 / 2 ≈ -0.99

Since time cannot be negative, we discard the negative solution.

Therefore, it would take the student aide approximately 64.49 minutes to complete the job alone, and the teacher, who is three times faster, would take approximately 21.50 minutes (64.49/3) to complete the job alone.

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Answer:

A.

Step-by-step explanation:

Answer:

⅙

Step-by-step explanation:

\(\boxed{gradient = \frac{y1 - y2}{x1 - x2} }\)

From the graph, coordinates of A and B are (-1, 1) and (5, 2) respectively.

Gradient of line AB

\( = \frac{2 - 1}{5 - ( - 1)} \)

\( = \frac{1}{5 + 1} \)

\( = \frac{1}{6} \)

Answer:

i think it is -3,-2

Step-by-step explanation:

i dont have one

There are 1260 different strings that can be made from 5 of the 7 letters in the word "meeting."

To determine the number of unique subsets of 5 letters from the word "meeting," we can use the combination formula:

\(n_Cr = n! / r!(n-r)!\)

Where n is the total number of items (in this case, the number of letters in the word "meeting") and r is the number of items being selected (in this case, 5 letters).

So, for "meeting," n = 7 and r = 5.

Plugging these values into the formula gives:

\(7C5 = 7! / 5!(7-5)! = 21\)

Therefore, there are 21 unique subsets of 5 letters that can be formed from the letters in the word "meeting."

To determine the number of different strings that can be made from 5 of those 7 letters, we can use the permutation formula:

\(n_Pr = n! / (n-r)!\)

Where n is the total number of items (in this case, the number of letters in the word "meeting") and r is the number of items being selected (in this case, 5 letters).

So, for "meeting," n = 7 and r = 5.

Plugging these values into the formula gives:

7P5 = 7! / (7-5)!

= 7! / 2!

= 2520 / 2

= 1260

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