You are testing the null hypothesis that there is no linear
relationship between two variables, X and Y. From your sample of
n=18, you determine that b1=3.6 and Sb1=1.7. Construct a 95%
confidence int

If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

Let Y = 2 - X, where X is an exponential random variable with mean 1.

To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.

Cov(X,Y) = E[XY] - E[X]E[Y]

Since X and Y are both exponentially distributed with mean 1, we have:

E[X] = 1, E[Y] = 2 - E[X] = 1

E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)

Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0

Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.

Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.

Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

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From the diagram given

1. Inscribed angle of the circle

2. AC is a tangent to the circle

3. HI is a chord of the circle

4. L is the center of the circle

5. GEH is a major arc

6. HL is the radius of the circle

7. central angle

8. central angle

9. BD is a secant

10. GHI is a semi-circle

Answer:

Width of confidence interval will increase.

Step-by-step explanation:

The sample size as an effect on the width of the confidence interval being calculated as it determines the value of the error margin. In general, increasing the sample size reduces the width of the confidence that interval while decrease in its value increases the error margin and hence the confidence interval.

Confidence interval :

Xbar ± Error margin

Error margin = Tcrit * s/ sqrt(n)

n = sample size

Being the denominator, a decrease in its value will result in an increase in error margin.

Answer:

-118

Step-by-step explanation:

y = 3 = -118(x + 6)  Distributive property

y + 3 = -118x - 708  Subtract 3 from both sides

y = -118x - 711

The number before the x is the slope: -118            

a. The exit pressure is 19.76 lbf/in².

b. The ratio of the inlet area to the exit area is 3.125.

C. The exit area ratio (0.32) is less than the critical area ratio (1.89), the nozzle is converging-diverging in cross section.

To solve this problem, we need to apply the conservation equations for mass, momentum, and energy along with the isentropic relations.

a. To determine the exit pressure, we can use the isentropic relation for pressure ratio across a nozzle:

\(P_2/P_1 = (T_2/T_1)^{\frac{\gamma}{\gamma -1}}\)

where \(P_1\) and \(T_1\) are the inlet pressure and temperature,

\(P_2\) and \(T_2\) are the exit pressure and temperature, and

γ is the specific heat ratio of air.

Using Table A-22E, we find that γ = 1.4 for air at 800°R.

Substituting the given values and solving for P2, we get:

\(P_2\) = \(P_1 \times (T_2/T_1)^\frac{\gamma}{\gamma -1}\) = \(45 \times (1500/480)^{(1.4/0.4)}\)= 19.76 lbf/in²

b. To determine the ratio of the exit area to the inlet area, we can use the continuity equation:

\(A_1V_1 = A_2V_2\)

where \(A_1\) and \(A_2\) are the inlet and exit areas, and

\(V_1\) and \(V_2\) are the inlet and exit velocities.

Substituting the given values, we get:

\(A_2/A_1 = V_1/V_2\) = 480/1500 = 0.32

The ratio of the exit area to the inlet area is 0.32, or equivalently, the ratio of the inlet area to the exit area is 1/0.32 = 3.125.

c. To determine whether the nozzle is diverging only, converging only, or converging-diverging in cross section, we can compare the exit area ratio to the critical area ratio.

The critical area is the minimum area that allows the flow to reach sonic conditions, and it depends on the pressure and temperature of the flow.

For a converging-diverging nozzle, the exit area ratio is less than the critical area ratio, which is given by:

A* / \(A_1\) = \((2/(\gamma+1))^{(\gamma+1)}/(2(\gamma-1)/(\gamma+1))^{(\gamma+1)/(\gamma-1)}\)

where A* is the critical area,

\(A_1\) is the inlet area, and

γ is the specific heat ratio.

Using the given values and γ = 1.4, we find that:

A* / \(A_1\) = 1.89

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Question:-

Air enters a nozzle operating at steady state at 45 lbf/in.2, 800°R, with a velocity of 480 f/s, and expands isentropically to an exit velocity of 1500 ft/s. Using data from Table A-22E as needed, determine

a. the exit pressure, in lbf/in². 19.76

b. the ratio of the exit area to the inlet area. 0.577

c. whether the nozzle is diverging only, converging only, or converging-diverging in cross section. conv-div

Answer:

31 cm

Step-by-step explanation:

A rectangle has 4 sides.

27 cm + 4 cm = 31 cm.

The perimeter is 31 cm.

If you are confused, to find perimeter you add all the sides up. That is why I added 1 + 1 + 1 + 1 / 4.

For inches or a different measure I recommend just converting it. You never mentioned the measure so I decided with cm.

Answer:

35

Step-by-step explanation:

just because i saw a guy who commented on first answer

The ratios for sin A, cos A, and tan A are,

sin A = 12/13

cos A = 5/13

tan A = 12/5

We have,

A triangle ABC is shown in image.

Now,

By given figure,

sin A= BC/AC

sin A = 24/26

sin A = 12/13

And,

cos A= AC/AB

cos A = 10/26

cos A = 5/13

And,

tan A = BC/AC

tan A = 24/10

tan A = 12/5

Thus, The ratios for sin A, cos A, and tan A are,

sin A = 12/13

cos A = 5/13

tan A = 12/5

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We can see that the pattern progresses by adding 3 to the previous perfect square to obtain the next term. The next few terms of the sequence would be:

25 (16 + 3)

36 (25 + 3)

49 (36 + 3)

64 (49 + 3)

81 (64 + 3)

...

We can continue this pattern to find as many terms as desired.

What is Number Sequences?

In mathematics, a number sequence is an ordered list of numbers that follow a specific pattern or rule. Each number in the sequence is called a term, and the position of a term in the sequence is called its index.

The given pattern appears to be a sequence of perfect squares starting from 1 and increasing by 3 at each step. We can verify this by observing that:

The first term is 1 which is a perfect square.

The second term is 4 which is a perfect square and is obtained by adding 3 to the previous term 1.

The third term is 9 which is a perfect square and is obtained by adding 3 to the previous term 4.

The fourth term is 16 which is a perfect square and is obtained by adding 3 to the previous term 9.

Therefore, we can see that the pattern progresses by adding 3 to the previous perfect square to obtain the next term. The next few terms of the sequence would be:

25 (16 + 3)

36 (25 + 3)

49 (36 + 3)

64 (49 + 3)

81 (64 + 3)

...

We can continue this pattern to find as many terms as desired.

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Answer:

A

Step-by-step explanation:

Answer: 5.5

When you subtract 5.5 from 5.5 you get 0

The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

What is the discriminant of a polynomial?

The discriminant of a polynomial is a function of its coefficients and is represented by the capital ‘D’ or Delta symbol (Δ). It shows the nature of the roots of any quadratic equations where a, b, and c are real numbers.

It is represented as ‘D’

D = b² - 4ac

Where,

a is the coefficient of x²

b is the coefficient of x

c is a constant term

x² + 5x + 4 = 0

We have given:

x² + 5x + 4 = 0

Comparing the equation with the standard form.

a = 1, b = 5 and c = 4

Substituting it in the formula

D = 5² - 4 × 1 + 4

By further calculation

D = 25 - 16

D = 9,

The quadratic roots are real and distinct

Therefore, the value of b² - 4ac is 9.

Hence, The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

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Answer:

yes it will I hope you have the answers right

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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the image of point (-12, -12) after a dilation by a scale factor of 1/4 centered at the origin is (-3, -3).

How to find?

To find the image of point (-12, -12) after a dilation by a scale factor of 1/4 centered at the origin, we can use the following formula:

(x', y') = (kx, ky)

where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, and k is the scale factor.

In this case, the scale factor is 1/4 and the center of dilation is the origin (0, 0). Therefore, we have:

x' = (1/4) × (-12) = -3

y' = (1/4) × (-12) = -3

So the image of point (-12, -12) after a dilation by a scale factor of 1/4 centered at the origin is (-3, -3).

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Answer:

See attached graph

Step-by-step explanation:

The equation is y-3=(x + 6)

Write the equation in a slope intercept form, then graph the equation on a graph tool to see the points that line on the line.

Alternatively , using the coordinates in the answer choices given, input them in the equation of the graph and select the answer choice that has all its coordinates true to the equation.

y-3 = x+6  -----can be written as : y= x+9

Graph  y= x+9 to see the graph and the points that are on the line as attached.

The line passes through points (-5, 4) and (-4, 5).

Hence, option E is correct.

Use the concept of drawing a graph defined as:

Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.

The given equation of a line:

y – 3 = (x + 6)

To plot the graph:

Put x = 0  we get y = 9

put x = 1 we get y = 10

put x = 2 we get y = 11

put x = 2 we get y = 12

proceed similarly.

Now plot the curve by addressing these points.

Hence,

The line passes through points (-5, 4) and (-4, 5) which is option E.

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The complete question is:

Which is the graph of y – 3 = (x + 6)?

A. A coordinate grid with a line passing through the points at (negative 3, 1), (0, negative 1), and (3, negative 3).

B. A coordinate grid with a line passing through the points at (negative 2, 1), (0, 0), and (4, negative 3).

C. A coordinate grid with a line passing through the points at (negative 3, 0), (0, negative 2), and (3, negative 4).

D. A coordinate grid with a line passing through the points at (negative 3, 3), (0, 1), and (3, negative 1).

E. A coordinate grid with a line passing through the points at (negative4, 5)and (negative 5, 4).

Answer:

256/5=51.2

Step-by-step explanation:

Answer:

51 with a remainder of one, or 51.2

Step-by-step explanation:

She has 256 donuts and 5 friends. I assume this is for long division practice, so I will do long division.

5 | 256

Look at the first term. Does 5 go into 2? No. Bring down the next term.

5|256

  25

Does 5 go into 25? Yes! How many times? 5. The first digit of our answer will be 5.

5|256 = 5

  25

Now to get rid of the 25, we multiply the number we took for our answer by the divisor. 5x5 = 25. Subtract this from 25 and bring down the next (and last term).

5|256 = 5

  25

 -25

     06

Does 5 go into 6? Yes. One time. Repeat what we did just now with this term now.

5|256 = 51

  06

   -5

     1

Does 5 go into 1? No, it is smaller. Therefore we have a remainder of one donut.

If we are trying to divide ALL of the donuts equally, we will have to cut up the donut into 5 equal pieces. They would each be 1/5 of the donut, or 0.2.

So adding this, each friend would get 51 donuts, with an extra donut for Mrs Rivas, or each friend would get 51.2/51 and 1/5 donuts.

The team that had the best overall record for the season is C. Eagles; they have a larger mean value of about 22 points Falcons; they have a larger mean value of about 20.9 points

Given is the table information about the scores of two teams,

In this case, the Eagles have a larger mean value of about 22 points compared to the Falcons' mean value of about 20.9 points. So, the correct answer would be Eagles; they have a larger mean value of about 22 points.

It's worth noting that using the median value in this case is not the most accurate, because this will give you a more robust representation of the center of the dataset in cases where data have outliers.

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if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

No, it is not possible to make two triangles that are not congruent and have three pairs of congruent angles. This is because if two angles of a triangle are congruent, then the third angle must also be congruent by the Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. If two triangles have three pairs of congruent angles, then all three angles in each triangle are congruent, meaning they have the same measure. However, this does not guarantee that the sides of the triangles are congruent. In order for two triangles to be congruent, they must have the same angle measures as well as the same side lengths. Therefore, if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

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Answer:

27.6%

Step-by-step explanation:

See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%.  (8/29)*(100%) = 27.6% to the nearest tenth.

Answer:

-1/2 is slope

Step-by-step explanation:

Answer:

1ft 9 inches

Step-by-step explanation:

5 ft 11 inch + 1ft = 6ft 11 inch

2/3 of a foot is 8 inches

6ft 11 inch + 9ft = 7 ft 8 inches

Answer:

The tree grew 1.02 feet.

Step-by-step explanation:

1. Find the common denominator of the two fractions by multiplying them: 11/12 and 2/3

2. 11/12 * 2/3 = 22/36

3. Convert both fractions to have the same denominator, 22/36: 5 11/12 = 59/36

4. Subtract the original heights to find the change: 59/36 - 22/36 = 37/36

5. Convert the fraction to a decimal: 37/36 = 1.02778

6. Convert the decimal to feet: 1.02778 = 1.02 feet

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Hello there! :)

Since Angles 1 and 2 form a linear pair, the two angles sum up to 180°

m∠1 + m∠2 = 180°

m∠1 = 5x + 9

m∠2 = 3x + 11

Plug in the expressions into the equation above:

(5x + 9) + (3x + 11) = 180°

Combine like terms:

5x + 3x + 9 + 11 = 180°

8x + 20 = 180°

Subtract 20 from both sides:

8x = 160°

Divide both sides by 8:

x = 20°

Substitute in this value of "x" into each equation:

m∠A = 5(20) + 9 = 109°

m∠B = 3(20) + 11 = 71°

Answer:

false

Step-by-step explanation:

i dont know dont trust me

false carol gots 110$ and bill gots 115 10 times 6 is 60 and 60 +50 is 110 15 times 6 is 90 + 25 is 115 so no they don't got the same

The equation for the tangent plane to the surface at the point (0,0,0) is z = 0. The correct answer is Option A z = 0.

To find the equation for the tangent plane to the surface z = ln(4x² + 3y² + 1) at the point (0,0,0), we need to find the partial derivatives with respect to x and y and evaluate them at the given point.

First, let's find the partial derivative with respect to x:

∂z/∂x = (8x)/(4x² + 3y² + 1)

Now, let's find the partial derivative with respect to y:

∂z/∂y = (6y)/(4x² + 3y² + 1)

Next, we evaluate these partial derivatives at the point (0,0,0):

∂z/∂x|(0,0,0) = (8(0))/(4(0)² + 3(0)² + 1) = 0

∂z/∂y|(0,0,0) = (6(0))/(4(0)² + 3(0)² + 1) = 0

Since both partial derivatives are zero at the point (0,0,0), the equation of the tangent plane is given by:

z - z₀ = ∂z/∂x|(0,0,0)(x - x₀) + ∂z/∂y|(0,0,0)(y - y₀)

Plugging in the values, we have:

z - 0 = 0(x - 0) + 0(y - 0)

Simplifying, we get:

z = 0

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Answer:

140

Step-by-step explanation:

140

Answer:

2.75

Step-by-step explanation:

3/4 is .75 in decimal

Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132

Step-by-step explanation:

(2x + 3x + 6)2 = 54

5x + 6 = 27

x = 21/5