Let X1 and X2 be two independent random variables. E(X1) = 35, E(X2) = 29. Var(x1) = 82, Var(X2) = 94. Let Y = 8X1 + 2x2 What is the standard deviation of Y? Carry

Two linear pairs are angles that form a ray when it is cut by a transversal line, and they are supplementary, meaning that the sum of their measures is of 180º.

Hence the measure of angle x is given as follows:

72 + x = 180

x = 180 - 72

x = 108º.

Alternate interior angles are between the two parallel lines, and on opposite sides of the transversal line, hence they are congruent, meaning that they have the same angle measure.

Thus the measure of angle y is given as follows:

m < y = 108º.

Since y and z are a linear pair, which we already studied the concept, the measure of angle z is given as follows:

m < y + m < z = 180

108 + m < z = 180

m < z = 72º.

The diagram is given by the image shown at the end of the answer.

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to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{ -4 }{ 4 } \implies \text{\LARGE - 1}\)

Answer:

no clue

Step-by-step explanation:

Given–

AB = 12 Cm

CD = 14 Cm

PO = 10 Cm

AP = 1/2 × 12 = 6 Cm

Construction–

Draw NO such that it is the perpendicular bisector of CB.

Hence,

ND = 1/2 × 14 = 7 Cm

To Find,

Measure of NO

Solution,

Here, PO Perpendicular to AB

Hence, APO is a right-angled triangle–

AO² = PO² + AP²

Or, AO² = 10 ² + 6 ²

Or, AO² = 36 + 100

Or, AO = √136 Cm

Or, AO = 11.66 Cm

Also, AO = OD = 11.66 Cm

( Radius of the same circle )

Now, in triangle OND,

OD² = ON² + ND ²

Or, 11.66 ² = ON² + 7²

Or, 136 = ON² + 49

Or, ON ² = 136 – 49

Or, ON ² = 87

Or, ON ² = √87

Or, ON = 9.3 Cm

Therefore, the appropriate length from center to CD is 9.3 Cm.

Answer:

y = x³ + 4

Step-by-step explanation:

Consider the differences between the values of y, that is

5  ,   12  ,  31  ,  68  ,  129

    7        19     37      61 ← not constant

Now consider the differences of the first differences

  7  ,  19  ,  37  ,  61

      12      18     24 ← not constant

Now consider the differences of the second differences

   12  ,  18  ,  24

        6        6 ← constant

Since the third differences are constant this indicates a cubic, that is

y = x³ + c ( where c is a constant )

Substitute the values of x into the equation

y = 1³ = 1 ← require to add 4 to obtain the required 5

y = 2³ = 8 ← require to add 4 to obtain the required 12

y = 3³ = 27 ← require to add 4 to obtain the required 31

y = 4³ = 64 ← require to add 4 to obtain the required 68

y = 5³ = 125 ← require to add 4 to obtain the required 129

Thus the equation is

y = x³ + 4

python

def average_value_in_file(filename):

   with open(filename, 'r') as file:

       numbers = [float(line.strip()) for line in file]

   average = sum(numbers) / len(numbers)

   return average

The function average_value_in_file takes a file name as a parameter and reads the file to obtain a list of real numbers. It then calculates the average (mean) of those numbers and returns the result.

Here's how the solution works:

1. The function begins by opening the file specified by the filename parameter using the open function. The file is opened in read mode ('r').

2. Inside a with statement, the function iterates over each line in the file using a list comprehension. It strips any leading or trailing whitespace from each line and converts the line to a float value using float(line.strip()). This creates a list of numbers.

3. Once the file has been read, the with statement ends, and the file is automatically closed.

4. The function then calculates the average by summing up all the numbers in the list using the sum function and dividing the sum by the length of the list using the len function.

5. The calculated average is stored in the average variable.

Finally, the function returns the average as the result.

This solution assumes that the file exists and follows the proper format, with one real number per line. It reads the file line by line, converts each line to a float value, and calculates the average of all the numbers in the file.

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A place value chart can help us in finding and comparing the place value of the digits in numbers through millions. The place value of a digit increases by ten times as we move left on the place value chart and decreases by ten times as we move right.

Answer:

A place value chart can help us in finding and comparing the place value of the digits in numbers through millions. The place value of a digit increases by ten times as we move left on the place value chart and decreases by ten times as we move right.

Step-by-step explanation:

Answer: A, false

Step-by-step explanation:

The left side 123 does not equal to the right side 1801088541, which means that the given statement is false.

Answer:

What is the question?

Step-by-step explanation:

Answer:

where is the question

Step-by-step explanation:

Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.

Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.

Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.

Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.

Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.

Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.

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Nina pay in property taxes 501. or \(5.01*10^{2}\).

A property tax, often known as a millage rate, is an ad valorem tax based on a property's value. The tax is imposed by the administrative body of the region where the property is situated. This could be the federal government, a federated state, a county, a region of land, or a municipality. The average effective property tax rate in the Lone Star State is 1.60%, making Texas' property taxes the seventh-highest in the nation. Comparing that to the current 0.99% national average will help. Property taxes in Texas cost the average homeowner $3,797 a year. It is well known that British property owners do not pay property tax. But hold on, it's too soon to celebrate because there might still be taxes to pay.

Based on the given conditions, formulate:

3340*15%

Calculate.

501

Alternative forms.

\(5.01*10^{2}\)

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Answer:

1/4

Step-by-step explanation:

A bag contains a total of 16 marbles

Red marbles = 8

Blue marbles = 8

The question says you pick randomly one marble and you return before picking another marble , which means, there is replacement.

Probability of picking the first red marble = 8/16

Probability of picking the second red marble = 8/16

Probability that both the first and second marble is red = 8/16 × 8/16

= 64/256 = 1/4

Therefore, the probability that both the first and second marbles are red = 1/4

Answer:

Step-by-step explanation:

First of all, I have a strong feeling that that is supposed to be

\(log_2(32)=y\) so I'm going to go with that. We can solve for y by rewriting that in exponential form. Exponential form and log form are inverses of each other. If the log form of an equation is

\(log_b(x)=y\), the exponential form of it is

\(b^y=x\). We will apply that here to solve for y:

\(2^y=32\)

which is asking us, "2 to the power of what equals 32?". We can use our calculator to raise 2 to consecutive powers til we reach the one that gives us a 32, or we could solve it by writing the 32 in terms of a 2:

\(2^y=2^5\)

Since both bases are the same, 2, then the exponents are equal to one another. y = 5. This is an important rule to remember while solving either log or exponential equations.

To find the exact value, we would need to evaluate the definite integral, but it may not be practical to do so without further information or using numerical methods.

To find the average value of a function on a closed interval, you need to calculate the definite integral of the function over that interval and divide it by the length of the interval. In this case, we want to find the average value of the function f(x) = 3xsin(x) on the interval 1 ≤ x ≤ 7.

The average value of f on the interval [1, 7] is given by the formula:

Average value = (1/(b - a)) * ∫[a to b] f(x) dx

where a and b are the endpoints of the interval.

In our case, a = 1, b = 7, and f(x) = 3xsin(x). So, we can calculate the average value as follows:

Average value = (1/(7 - 1)) * ∫[1 to 7] (3xsin(x)) dx

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Answer:

Step-by-step explanation:

Step 1: Factor left side of the  equation.

(3x−2)(2x+1)=0

Step 2: Set factors equal to 0.

3x−2=0 or 2x+1=0

\(x=\frac{2}{3} or x=\frac{-1}{2}\)

The correct option is the fourth one, the slope and y-intercept are different.

Here we have the linear equation:

3x - 5y = 4

We know that it is dilated by a scale factor of 5/3, so let's find the dilation.

We can rewrite the linear equation as:

-5y = 4 - 3x

y =  (3/5)x - 4/5

Now let's apply the dilation:

y = (5/3)*[ (3/5)x - 4/5]

y = x - 4/3

Then we can see that the slope and the y-intercept are different, the correct option is 4.

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Answer:

The answer is 44 cm .

which is (B)

Answer:

---------------------

The angle formed by a tangent and secant is half the difference of the intercepted arcs:

Find the measure of ∠MLJ by substituting 4 for x in the angle measure:

Answer:

3/5  is the  probability that the fish is NOT black

Step-by-step explanation:

Because the total  number of fish is  5  and the probability of  the fish being black is 2/5 . So the number of fish left are 3   =  equal to the   the  probability that the fish is NOT black

Answer:

3,365 quilo

Step-by-step explanation:

Aqui, temos a tarefa de calcular os quilos de mantimentos coletados.

Para conseguir isso, o que fazemos é somar todos os quilos que temos aqui.

Matematicamente, isso representaria 1480 kg de açúcar + 1207 kg de açúcar + 678 kg de feijão = 1480 + 1207 + 678 = 3,365 kg de mantimentos

The explicit rule for the sequence is f(n) = 6 - 4(n - 1)

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

a1 = 6

a(n) = a(n - 1) - 4

In the above sequence, we can see that -4 is added to the previous term to get the new term

This means that

First term, a = 6

Common difference, d = -4

The nth term is then represented as

f(n) = a + (n - 1) * d

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

f(n) = 6 - 4(n - 1)

Hence, the explicit rule isf(n) = 6 - 4(n - 1)

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The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite.

If the side of DF = 7.7 cm then DE = 3.7 cm.

The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite. The longest side is always the hypotenuse. The other two inner angles add up to 90 degrees.

A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangled triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given: DF = 7.7 cm and ∠ E = 29°

Let the equation be

sin θ = P/h = DF / DE

substitute the values in the above equation, we get

⇒ sin 29° = 7.7 / DE

⇒ DE = 7.7 / 0.48 = 3.696 = 3.7 cm

Therefore, the correct answer is option a) 3.7 cm.

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Answer:

x=68

Step-by-step explanation:

...gyrhjjigcrfefec

The true statement is (d) the angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid KLMN

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

Trapezoid PQRS

The transformation is given as

As  a general rule of transformation, reflection and rotation are rigid transformations and they do not change the size and angles in a shape

This means that we get a congruent figure to that figure after the transformations

Thus, when PQRS is reflected and rotated 90° about the origin to form trapezoid KLMN, the trapezoid KLMN is congruent to trapezoid PQRS.

⇒  By the definition of congruence,

The corresponding sides and angle of trapezoid KLMN are congruent to that of trapezoid PQRS.

⇒ ∠P ≅ ∠K, ∠Q ≅ ∠L, ∠R ≅ ∠M and  ∠S ≅ ∠N

⇒ Option D) is correct.

Note:  KMLN is a trapezoid ⇒ Sum of the angle measures of trapezoid P'Q'R'S' is also 180°

Option A) is incorrect.

Since, trapezoid KMLN is congruent to trapezoid PQRS.

⇒ Option B) is incorrect.

We know that if two shapes are congruent then their area must be equal.

⇒ Area of trapezoid KMLN = Area of trapezoid PQRS

Thus, Option C) is incorrect.

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Complete question

Trapezoid PQRS is shown on the coordinate plane. If trapezoid PQRS is reflected across the y-axis and rotated 90° clockwise about the origin to form trapezoid KLMN, which must

A) The sum of the angle measures of trapezoid PQRS is 180° less than the sum of the angle measures of trapezoid KLMN.

B) Trapezoid PQRS is not congruent to trapezoid KLMN

C) The area of trapezoid PQRS is less than the area of trapezoid KLMN

D) The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid KLMN

Answer:

.674  j / (g-C)

Step-by-step explanation:

Spec heat = heat required to raise 1 gram of substance 1 degree celsius

       Spec heat units : j / (gm-C)

soooo     310 j / (20g * (42-19)C  = .674

Answer:

its C

Step-by-step explanation:

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Hi All ^_^

D. 10 × 10 × 10 × 10 × 10 = 100.000

I hope this helps,,

Answer:

D is the correct answer

Step-by-step explanation: