Help please help I will reward 900 points and brainly!

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Answer:

nice black screen i like it

The variance of the random variable X is \(= -\frac{19}{36}$\\\)

To calculate the variance of the random variable X, we need to obtain its probability density function (pdf).

The provided cumulative probability function (CDF)  can be used to derive the pdf.

The pdf can be obtained by taking the derivative of the CDF:

\(\[ f(x) = \frac{d}{dx} F(x) \]\)

For x < 0, F(x) = 0, so f(x) = \(\frac{d}{dx}(0)\) = 0.

For 0 < x < 1, F(x) = x² + x, so f(x) =\(\frac{d}{dx}(x^2 + x)\) = 2x + 1.

For x > 1, F(x) = 1, so f(x) = \(\frac{d}{dx}(1)\) = 0.

Now, we have the pdf:

\(\[ f(x) = \begin{cases} 0, & \text{for } x < 0 \\ 2x + 1, & \text{for } 0 < x < 1 \\ 0, & \text{for } x > 1 \end{cases}\]\)

To obtain the variance, we need to calculate E(X²) and E(X)²

\(\[E(X^2) = \int (x^2 \cdot f(x)) dx\]\)

\(\[= \int (x^2 \cdot (2x + 1)) dx\]\)

\(\[= \int (2x^3 + x^2) dx\]\)

\(\[= \frac{1}{2}x^4 + \frac{1}{3}x^3 + C\]\)

\(\[E(X) = \int (x \cdot f(x)) \, dx\]\)

\(\[= \int (x \cdot (2x + 1)) \, dx\]\)

\(\[= \int (2x^2 + x) \, dx\]\)

\(\[= \frac{2}{3}x^3 + \frac{1}{2}x^2 + C\]\)

Now, we calculate E(X²) and E(X)² at the limits of integration (0 and 1) to obtain the variance:

\(\[E(X^2) = \int_{0}^{1} \left(\frac{1}{2}x^4 + \frac{1}{3}x^3\right) dx\)

\(= \left[\frac{1}{2} \cdot 1^4 + \frac{1}{3} \cdot 1^3\right] - \left[\frac{1}{2} \cdot 0^4 + \frac{1}{3} \cdot 0^3\right]\)

\(= \frac{1}{2} + \frac{1}{3}\)

\(= \frac{5}{6}\)

\(\[E(X) = \int_{0}^{1} \left(\frac{2}{3}x^3 + \frac{1}{2}x^2\right) \, dx\)

\(= \left[\frac{2}{3}\cdot 1^3 + \frac{1}{2}\cdot 1^2\right] - \left[\frac{2}{3}\cdot 0^3 + \frac{1}{2}\cdot 0^2\right]\)

\(=\frac{2}{3} + \frac{1}{2}\)

\(= \frac{7}{6}\)

Finally, we calculate the variance using the formula:

\($\text{Var}(X) = E(X^2) - E(X)^2\)

\(= \frac{5}{6} - \left(\frac{7}{6}\right)^2\)

\(= \frac{5}{6} - \frac{49}{36}\)

\(= \frac{30 - 49}{36}\)

\(= -\frac{19}{36}$\\\)

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The surface area of the cone exists as πr² + πrl

= (3.14)(6)² + (3.14)(6)(3)

= 169.56 cm²

Therefore, the surface area of the cone exists at 169.56 cm².

The surface of the cone consists of the lateral surface and the base area. So,

1. the lateral surface exists equal to πrs, where r exists the radius of the base and s exists the slant height of the cone.

2. the base area exists πr² (since the base exists a circle with radius r).

Then the surface area exists SA = πrs + πr²

The surface area of the cone exists as πr² + πrl

where "r" exists the radius, "l" exists the slant height

The radius of the cone exists at 6 cm

The slant height of the cone exists at 3 cm

To find the surface area of a cone

The surface area of a cone = πr² + πrl

= (3.14)(6)² + (3.14)(6)(3)

= 169.56 cm²

Therefore, the surface area of the cone exists at 169.56 cm².

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The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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The given parabolic equation is y = 4x - x² and the point is (1, 3). We are to determine the slope of the tangent line at (1, 3) and then obtain an equation of the tangent line.  we must first calculate the derivative of the given equation.

We can do this by using the power rule of differentiation. The derivative of x² is 2x. So the derivative of y = 4x - x² is dy/dx = 4 - 2x.Since we want to find the slope of the tangent line at (1, 3), we need to substitute x = 1 into the equation we just obtained. dy/dx = 4 - 2x = 4 - 2(1) = 2. Therefore, the slope of the tangent line at (1, 3) is 2.We can now write the equation of the tangent line. We know the slope of the tangent line, m = 2, and we know the point (1, 3).

We can use the point-slope form of the equation of a line to obtain the equation of the tangent line. The point-slope form of the equation of a line is given as: y - y₁ = m(x - x₁)where m is the slope, (x₁, y₁) is a point on the line.Substituting in the values we have, we get:y - 3 = 2(x - 1)We can expand this equation to obtain the slope-intercept form of the equation of the tangent line:y = 2x + 1Therefore, the equation of the tangent line to the parabola y = 4x - x² at the point (1, 3) is y = 2x + 1.

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The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.

The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.

It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.

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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.

The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.

The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.

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The area of Entire roof is 12 feet².

The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle)

Given:

As, the roof peak with a 3 and the roof overhang the sides is 4.

Now, Using Pythagorean theorem.

a² + b² = c ²

15² + 13² = c²

c² = 225+ 169

c = 19.8 (or 20)

So, the length of diagonal is 24.

Roof Dimension 36 x 24 or (

Area of Roof = 3 x 2

                      = 6 unit²

and, area of the entire roof = 2 x6 = 12 ft²

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Answer:

It is a scale factor of 1/4

the missing side length is 2.75

Step-by-step explanation:

Answer:

68-78

Step-by-step explanation:

When u subtract 78 to 68 the difference is 8

A binomial distribution is characterized by two outcomes (success or failure) and a fixed number of trials with the same probability of success on each trial.

In this case, X represents the number of times you roll the dice before achieving a Yahtzee.

However, X is not a binomial distribution because it doesn't have a fixed number of trials. You continue rolling until you get a Yahtzee, which could take an unpredictable number of attempts. Instead, X follows a geometric distribution, which describes the number of trials needed for the first success in a sequence of Bernoulli trials.

Yes, X is binomial because it has the following properties:

1. There are a fixed number of trials (rolling the dice repeatedly)
2. Each trial is independent of the others (the outcome of one roll does not affect the outcome of the next)
3. There are only two possible outcomes for each trial (either a Yahtzee is rolled or it isn't)
4. The probability of success (rolling a Yahtzee) is constant for each trial (1/6 to the 5th power, or about 0.00077)

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Substituting u = x^(2/3x^6) in the integral ∫ (2x^3)(x^2/3x^6)^5 dx and arriving at the solution  3∫(x^3)(u^5) du.

To evaluate the integral ∫ (2x^3)(x^2/3x^6)^5 dx, we can simplify the expression by making the substitution u = x^(2/3x^6). This substitution allows us to transform the integral into a simpler form, making it easier to evaluate.

Let's make the substitution u = x^(2/3x^6). Taking the derivative of both sides with respect to x gives us du = (2/3x^6)(x^(-1/3)) dx. Simplifying this equation, we have du = (2/3)dx.

Now, we can rewrite the original integral in terms of u as follows:

∫ (2x^3)(x^(2/3x^6))^5 dx = ∫ (2x^3)(u^5) dx.

Using our substitution, we can also rewrite x^3dx as (3/2)du. Substituting these into the integral, we have:

∫ (2x^3)(x^(2/3x^6))^5 dx = ∫ (2x^3)(u^5) dx = 2∫(x^3)(u^5)dx = 2∫(x^3)(u^5)(3/2)du.

Simplifying further, we have:

∫ (2x^3)(x^(2/3x^6))^5 dx = 2(3/2) ∫ (x^3)(u^5) du = 3∫(x^3)(u^5) du.

Now, we can evaluate this integral with respect to u, which gives us a simpler expression to work with. Once we find the antiderivative of (x^3)(u^5) with respect to u, we can substitute u back in terms of x to obtain the final result.

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Complete question:

evaluate the integral ∫ (2x^3)(x^2/3x^6)^5 dx by making the substitution u = x^(2/3x^6)

The Composite Trapezoidal rule is used to approximate the given integrals. In part (a), the integral \(\( \int_{1}^{2} x \ln x \, dx \)\) is approximated using \(\( n = 4 \)\)subintervals. In part (b), the integral\(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) is given with incorrect limits, so it cannot be evaluated.

To approximate \(\( \int_{1}^{2} x \ln x \, dx \)\) using the Composite Trapezoidal rule, we divide the interval \(\([1, 2]\) into \( n = 4 \)\) subintervals. The step size, \(\( h \)\), is calculated as\(\( h = \frac{b-a}{n} = \frac{2-1}{4} = \frac{1}{4} \)\). Then, we evaluate the function \(\( x \ln x \)\)at the endpoints of each subinterval and sum the areas of the trapezoids formed. The approximation formula for the Composite Trapezoidal rule is: \(\[\int_{a}^{b} f(x) \, dx \approx \frac{h}{2} \left[ f(a) + 2\sum_{i=1}^{n-1} f(x_i) + f(b) \right]\]\)

Using this formula, we can calculate the approximation for the given integral. The limits of the integral \(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) are given as \(\( 2 \)\) to 2 which indicates an interval of zero length. In this case, the integral cannot be evaluated since there is no interval over which to integrate.

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Answer:

a rectangle with 2 yards and 3 yards

Step-by-step explanation:

12 yards and 23 yards

x and 2x - 1

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

2 and 3 = x and 2x - 1

2 and 2(2) - 1 = 2 and 3

I might be wrong.

Answer:

Of course i can help!

Step-by-step explanation:

So. 5x10.75=53.75

and because she breaks 2 more its now 2x10.75=21.50

now

53.75

21.50

+____

75.25

Ur welcome <3

Answer:

\(x = - 3 + - \sqrt{13} \)

Step-by-step explanation:

formula is x=-b+-sqrt b^2-4ac/2a

Answer:

60 sq m

Step-by-step explanation:

Area of the figure

= Area of top rectangle + Are of the bottom rectangle

= 5*3 + 5*(3+3+3)

= 15 + 5*9

= 15 + 45

= 60 sq m

Answer:

60 m²

Step-by-step explanation:

Area of the figure

= Top rectangle vertical + Bottom rectangle horizontal

= 3 x 5 + 5 x 9

= 15 + 45

= 60 m²

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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answer: you would just substitute all of the values you see for b into the equation where there's a b

Answer:

55; 64; 73

Step-by-step explanation:

In the table, they provide a b value. Basically, you plug in the value of b they give you into the expression n = 9b + 19

if b = 4:

n = 9(4) + 19

n = 36 + 19

n = 55

if b = 5:

n = 9(5) + 19

n = 45 + 19

n = 64

if b = 6:

n = 9(6) + 19

n = 54 + 19

n = 73

Check your work with the last numbers in the table. They say the value of n = 82 when b = 7 so try it

if b = 7:

n = 9(7) + 19

n = 63 + 19

n = 82

Work is correct

Try not to overthink it ^-^

Answer:b

Step-by-step explanation:

Answer:

23/10

Step-by-step explanation:

Answer:

d. add 11 to both sides of the equation

Step-by-step explanation:

7x - 11 = 3

The equation that represents Mr. Jarod's earnings for the job is M = 3h.

The problem states that Mr. Jarod's earnings, denoted as M, vary directly with the number of haircuts he gives, denoted as h. This means that as the number of haircuts increases or decreases, his earnings will change proportionally.

To find the equation that represents his earnings, we can use the given information that Mr. Jarod earns $15 for five haircuts. This gives us a ratio of $15/5 = $3 per haircut.

Based on this ratio, we can conclude that for each additional haircut Mr. Jarod gives, his earnings will increase by $3. Therefore, the equation that represents his earnings for the job is M = 3h, where M represents his earnings and h represents the number of haircuts.

Therefore, the correct answer is A. M = 3h, as it reflects the direct variation between Mr. Jarod's earnings and the number of haircuts he gives.

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To travel downstream, a boat needs 2 hours while to travel back upstream, it needs 4 hours. The river flows at speed of 3.58  3.58 km/hour

The relation between distance and speed is given by:

distance = speed x travelled time

In the problem, let:

vb = boat speed

v = river speed

Then, when the boat travels downstream:

28.62 = (vb + v) x 2

2vb + 2v = 28.62   ... (Equation 1)

When the boat travels upstream:

28.62 = (vb - v) x 4

Divide both sides by 2:

14.31 = (vb - v) x 2

2vb - 2v = 14.31  ... (Equation 2)

Substract equation 1 by equation 2

2vb + 2v = 28.62

2vb  - 2v = 14.31 _

       4v  = 14.31

          v = 3.58

Hence, the speed of water = 3.58 km/hour

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Answer:

                 calories

Breakfast: 670  

Lunch:      555

Dinner:     910

Total = 2135 calories

Step-by-step explanation:

Let B, L and D, stand for the calories from Breakfast, Lunch, and Dinner

One day his calories from breakfast were 115 more, than his calories from​ lunch:  

B = L + 115

his calories from dinner were 200 less than twice his calories from lunch.:

D = 2L - 200

total caloric intake from meals was 2135:

B + L + D = 2135

------

We have B and D defined in terms of L from the first two equations, so use them in the third:

B + L + D = 2135

[L+115] + L + [2L-200] = 2135

4L - 85 = 2135

4L = 2220

L = 555 calories

B = L + 115

B = 555 + 115

B = 670 calories

D = 2L - 200

D = 2(555) - 200

D = 910 calories

================

CHECK

Does B + L + D = 2135 calories?

  670 + 555 + 910 = 2135?

 2135 = 2135?   YES

Answer:

13 mins early

Step-by-step explanation:

hope this helps

Answer:

13 minutes early

Step-by-step explanation:

9:52 to 10:00 am is 8 minutes.

10:00 am to 10:05 am is 5 minutes.

8 + 5 = 13

For the inference in part b to be valid, the conditions required are reasonable satisfaction.

To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.

However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.

These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.

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Based on the context, the range of this function is given by: C. [−7, 7]

A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.

The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of function f(x) shown, we can infer and logically deduce the following:

Range = [−7, 7]

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One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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The college bookstore paid $44.4 for the book

A college store marks up the price it pays the publisher for a book by 35%

The selling price of the book is $60.00

Therefore the amount paid by the bookstore can be calculated as follows

( 35/100 + 1) x = 60

0.35+1x= 60

1.35x= 60

Divide both sides by the coefficient of x which is 1.35

x= 60/1.35

x= 44.4

Hence the book store will pay $44.4 for the book

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Answer:

the bigger number is 5 while the smaller number is 4

Step-by-step explanation:

x-y=1                                    eqn 1

x+2y=13                                eqn 2

from equation 1

x=1+y

substitute in eqn 2

1-y+2y=13

1+3y=13

y=4

x=1+y

x=1+4

x=5