Please help, Ill mark brainiest if it helps.

The Standard error of the estimate is 11.6985

The standard error of estimate is the measure of variation of an observation made around around the regression line

Simply, It is used to check the accuracy of prediction made with the regression line. A standard deviation which measures the variation in the set of data from its mean, the standard error of estimate also measured the variation in actual values of Y from the computed values of Y on the regression line.

Given in the question,

coefficient of y-intercept = -12.8094

Coefficient of x = 2.1794

N-1 = 9

=> N = 10

SSE = 1094.842

Standard error of estimate = √SSE(N-2)

where , SSE is sum of square of error

S.E = √(1094.842)/ (10-2)

=> √(1094.842)/8

=> √136,855

=> 11.6985 is standard error

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a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

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The mean and standard deviation obtained from simulations may differ from the true mean

standard deviation of a negative binomial distribution with parameters $r=0.6$ and $p=10$. However, with a large number of simulations, the mean and standard deviation from the simulations should approach the true mean and standard deviation of the distribution.

In general, the mean of a negative binomial distribution with parameters $r$ and $p$ is $r \cdot (1-p)/p$, and the standard deviation is $\sqrt{r \cdot (1-p)/p^2}$.

These formulas can be used to calculate the true mean and standard deviation of a $nb(0.6,\ 10)$ distribution.

Comparing the simulated mean and standard deviation to the true values can help assess the accuracy of the simulation results.

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he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

Let’s assume the general solution of the given differential equation is,

y=e^{mx}

By taking the derivative of this equation, we get

\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)

Now substitute these values in the given differential equation.

\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)

Therefore, \(m^4-2m^2-8=0\)

\((m^2-4)(m^2+2)=0\)

Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)

By applying the formula for the general solution of a differential equation, we get

General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

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Step-by-step explanation:

y<3x-6,x=0 for y>-3x-5,y=0

y<-6 x<-5/3

y=0,x>2 x=0, y>-5

therefore, values of x will be 2<x>-5/3

and values of y will be -5<y>-6

so the point will be (-9,-1)

hope it helps.

Answer: look at the image for the answer and the explanation

Step-by-step explanation:

Answer: 16 degrees

Step-by-step explanation:

Answer: 25/8

Step-by-step explanation: i got it right.

I hope this helped

The value of the given expression is 25/1024. Therefore, option B is the correct answer.

The given expression is \(\frac{(2^{2})^{-5} }{5^{-2} }\).

We need to evaluate the given expression.

Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n".

Solving exponential equations using properties of exponents.

Some basic properties are as follows:

1) \(a^{m}\times b^{m} =(ab)^{m}\)

2) \(a^{m}\times a^{n} =(a)^{m+n}\)

3) \(\frac{a^{m}}{b^{m}} =(\frac{a}{b} )^{m}\)

4) \(\frac{a^{m}}{a^{n}} =(a )^{m-n}\)

Now, \(\frac{(2^{2})^{-5} }{5^{-2} }\)

\(=\frac{2^{-10} }{5^{-2} }=\frac{5^{2} }{2^{10} }\)

=25/1024

Therefore, option B is the correct answer.

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Answer:

27.65

Step-by-step explanation:

The most extreme region of the square shape will be 52812.5 square meters.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

A farmer with 650 meters of fencing wants to enclose a rectangular plot that borders a river.

The dimensions are x and 650 - 2x.

A = x(650 - 2x)

A = 650x - 2x²

Differentiate the function, then we have

A' = 0

650 - 4x = 0

x = 650 / 4

x = 162.5

Then the maximum area of the rectangle will be

A = 650 (162.5) - 2 (162.5)²

A = 52812.5 square meters

The maximum area of the rectangle will be 52812.5 square meters.

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If the radius of a circle doubles, the measure of a sector of that circle will double, as will the sector's measure if the arc measure of that sector doubles.

Additionally, if the arc measure of that sector doubles, the sector's measure will also double.

The formula for the area of a sector of a circle is (n/360)πr², where n is the central angle's degree measure and r is the radius of the circle. The area of the sector is proportional to the square of the radius of the circle.

As a result, if the radius of a circle is doubled, the sector's area will quadruple, meaning the measure of the sector will double.

When the arc measure of a sector of a circle is doubled, the central angle of the sector is also doubled since they are proportional to each other. As a result, the measure of the sector is also doubled. Therefore, both statements are correct.

In conclusion, if the radius of a circle doubles, the measure of a sector of that circle will double, as will the sector's measure if the arc measure of that sector doubles.

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Answer: 4π cm or 12.56 cm

Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.

Since the radius is 2 centimeters, we can

plug in 2 centimeters for r in the formula.

So we have (2)(π)(2 cm) which is equal to 4π cm.

So the circumference of this circle is 4π cm.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.

So we have (4)(3.14) which is equal to 12.56.

So the circumference of the circle is

approximately equal to 12.56 cm.

Answer:

a) 45

b) 54

Step-by-step explanation:

a) To be able to round up to the nearest 10, the number in the "ones column" needs to be 5 at the minimum.

You could argue it could be a decimal point however, you shouldn't really have a decimal of a bead ( it's possible but it over complicates the answer ) and, it's to the nearest 10, not nearest one decimal point for example.

Therefore, the min is 45 beads

b) ( The above poster was correct oops, I made a silly mistake )

The max is 54 beads as if anything in the ones column is under 4, you can't round up to the nearest 10. Hence it remains as 50 when rounding

Therefore, the max is 54 beads

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

Explanation:

Let L = 4x-2 be the length and W = 2x+1 be the width. The order of L and W doesn't matter.

The goal is to find the area = L*W

We could simply say L*W = (4x-2)*(2x+1) and be done. Though I have a feeling your teacher wants you to expand that out.

Let's do so

(4x-2)*(2x+1)

L(2x+1) .... replace "4x-2" with L

2xL + L .... distributive property

2x( L ) + 1( L )

2x( 4x-2 ) + 1(4x - 2) .... L replaced with 4x-2

2x*4x + 2x*(-2) + 1*4x + 1*(-2) .... distributive property twice more

8x^2 - 4x + 4x - 2

8x^2 - 2 is the final answer

Side note: you can use the FOIL rule or the box method as two alternatives to get the same answer.

The area of the triangle LMN is 4 units squared.

The area of a triangle can be described as follows:

The area of the triangle by using the base and height of the triangle.

area of a triangle = 1 / 2 bh

where

Therefore,

base = NL = 4 units

height = PM = 2 units

Therefore,

area of the triangle = 1 / 2 × 4 × 2

area of the triangle = 8 / 2

area of the triangle = 4 units²

Therefore, the area of the triangle LMN is 4 unit squared.

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Answer: B. 4 Square Units

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

19/403 of the people on the plane are crew

The given parameters are:

Population = 403

Passengers = 384

The number of crew is calculated using:

Crew = 403 - 384

Evaluate

Crew = 19

The fraction of crew is then calculated using:

Fraction = Crew/Population

This gives

Fraction = 19/403

Hence, 19/403 of the people on the plane are crew

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Answer:

0.75 hours

Step-by-step explanation:

1 1/2 hours divided by 2 is 0.75

(where 1 1/2 can be written as 1.5).

In minutes: half of 90 minutes is 45 minutes.

Answer:

314

Step-by-step explanation:

V=πr^2(h/3)

diameter is 10 so /2 and you get radius

plug values in and solve for x

Answer:

314

yea im sure thats the answear

The probability that at least 15 buy their lunch is 0.957.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

Given: P = 0.81

n = 22

We have to calculate the probability that at least 15 buy their lunch.

P(x≥15)

We use binomial distribution formula here and we get

P(X= x) = ⁿCₓpˣqⁿ⁻ˣ

P(X ≥15) = P(X= 15) + P(X= 16) + P(X= 17) + P(X= 18) + P(X= 19) + P(X= 20) + P(X= 21) + P(X= 22)

P(X ≥15) = ²²C₁₅(0.81)¹⁵(1-0.81)²²⁻¹⁵ + ²²C₁₆(0.81)¹⁶(1-0.81)²²⁻¹⁶ + ²²C₁₇(0.81)¹⁷(1-0.81)²²⁻¹⁷ + ²²C₁₈(0.81)¹⁸(1-0.81)²²⁻¹⁸ + ²²C₁₉(0.81)¹⁹(1-0.81)²²⁻¹⁹ + ²²C₂₀(0.81)²⁰(1-0.81)²²⁻²⁰ + ²²C₂₁(0.81)²¹(1-0.81)²²⁻²¹ + ²²C₂₂(0.81)²²(1-0.81)²²⁻²²

P(X ≥15) = 0.65 + 0.1205 + 0.181 + 0.216 + 0.192 + 0.123 + 0.050 + 0.0097

P(X ≥15) = 0.957

Hence, the probability that at least 15 buy their lunch is 0.957.

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Answer:

The tatal budget of what, there's no budget the budget down so I can do the problem.

Answer:

what

Step-by-step explanation:

??

Answer:

4

Step-by-step explanation:

The slope is declining so, thats the only reasonable answer.

Answer:

12 feet

Step-by-step explanation:

Let h be the height of the tree. We set up and solve this proportion:

\( \frac{h}{24} = \frac{3}{6} \)

\(6h = 72\)

\(h = 12\)

Answer:

Step-by-step explanation:          

\(49x^2-42x+(\frac{42}{2})^2=49x^2-42x+(\frac{42}{2} )^2\)    (completing the square)  

  \(49x^2-42x+441=49x^2-42x+21^2\)

                              \(=(7x-21)^2\)

So    \(49x^2-42x+441=(7x-21)^2\)

Solution: The required constant is 441.

Remember:    Completing the square IN \(ax^2+bx+c\) involves adding  \((\frac{b}{2} )^2\)     to both sides of the equation. THIS KEEPS IT BALANCED AND ALLOWS US TO MAKE A PERFECT SQUARE.    

Answer:

The total surface area of the pipe is 4123.31 cm²

Step-by-step explanation:

Total surface area (TSA) of a pipe is calculated as;

Outer area of the pipe + Inner area of the pipe + cross section of the two ends

TSA = 2πRL + 2πrL + 2π(R² - r²)

TSA = 2π(RL + rL + R² - r²)

where;

R is the outer radius

r is the inner radius

L is length of the pipe

Determine the length of the pipe

Outer surface area of the pipe is  calculated as;

outer surface of the pipe = 2πRL

2514.2  = 2πRL

2514.2 = (2π x 5) L

2514.2 = 31.42 L

L = 2514.2 / 31.42

L = 80.02 cm

Finally, determine the total surface area of the pipe

TSA = 2π(RL + rL + R² - r²)

TSA = 2π(5x80.02 + 3x80.02 + 5² - 3²)

TSA =  2π(400.1 + 240.06 + 16)

TSA =  2π(656.16)

TSA = 4123.31 cm²

Therefore, the total surface area of the pipe is 4123.31 cm²

To evaluate the integral using a parametric description of the circle, we can parameterize the circle using trigonometric functions.

Let's denote the circle as C, with radius r centered at the origin. We can describe the circle using the parameter θ, which represents the angle in the counterclockwise direction from the positive x-axis to a point on the circle.

The parametric equations for the circle C are:

x = rcos(θ)

y = rsin(θ)

By substituting these parametric equations into the integral, we can set up the integral over the circle C. The integral could involve a function f(x, y) that needs to be evaluated over the circle C. The integral can be written as:

∫∫f(x, y) dA

where dA represents the area element. To evaluate this integral, we need to express dA in terms of the parameter θ and compute the limits of integration based on the range of θ that corresponds to the circle C.

The explanation paragraph would then provide more details on how to set up the integral, determine the limits of integration for θ, and compute the area element dA in terms of θ. It would also mention that depending on the specific function f(x, y) and the desired computation, additional techniques such as changing variables or using appropriate coordinate transformations may be required to evaluate the integral over the circle C.

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Hi, there.

  ______

Start off by noting that \(2x+5\) can be either positive or negative.

First off let's solve for x, where \(2x+5\) is a positive.

Thus,

\(2x+5 < 4\\2x < -1\\x < -\dfrac{1}{2}\)

Now let's solve for x, where \(2x+5\) is a negative. But first we need to distribute -1. \(-2x-5\).

Now solve.

\(-2x-5 < 4\\-2x < 9\\x < -\dfrac{9}{2}\)

Hope the answer - and explanation - made sense,

happy studying.

Step-by-step explanation:

in other words that means

-4 < (2x + 5) < 4

-9 < 2x < -1

-4.5 < x < -0.5

The probability of choosing a 5 and then a 6 is 1/49

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

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6