Suppose that Y₁, Y₂, ..., Yn constitute a random sample from the density function -e-y/(0+a), f(y10): 1 = 30 + a 0, y> 0,0> -1 elsewhere. Is the MLE consistent? Is the MLE an efficient estimator for 0. (9)

Answer:

it is -2a+8 your welcome

the area enclosed by the curves x = -2, x = 3, y = 3x² - 28, and y = 4x + 11 is -1014/27 square units.

To find the area enclosed by the curves x = -2, x = 3, y = 3x² - 28, and y = 4x + 11, we can integrate the difference between the upper and lower curves with respect to x.

First, let's find the points of intersection between the curves to determine the limits of integration.

Setting the two y-equations equal to each other:

3x² - 28 = 4x + 11

Rearranging the equation:

3x² - 4x - 39 = 0

We can solve this quadratic equation to find the x-values of the points of intersection. Factoring or using the quadratic formula, we find:

(x - 3)(3x + 13) = 0

This gives two solutions: x = 3 and x = -13/3.

Therefore, the limits of integration for the x-coordinate are -13/3 to 3.

To calculate the area, we integrate the difference between the upper curve (3x² - 28) and the lower curve (4x + 11) with respect to x:

A = ∫[-13/3, 3] [(3x² - 28) - (4x + 11)] dx

Simplifying:

A = ∫[-13/3, 3] (3x² - 4x - 39) dx

Integrating term by term:

A = [(x³ - 2x² - 39x)]|_[-13/3 to 3]

Evaluating the definite integral:

A = [(3³ - 2(3)² - 39(3)) - ((-13/3)³ - 2(-13/3)² - 39(-13/3))]

A = [(27 - 18 - 117) - ((-2197/27) - 2(169/9) + 507/3)]

A = [-108 - (-2197/27 + 338/9 + 507/3)]

A = [-108 - (-1902/27)]

A = [-108 + 1902/27]

A = (1902/27) - (2916/27)

A = -1014/27

Therefore, the area enclosed by the curves x = -2, x = 3, y = 3x² - 28, and y = 4x + 11 is -1014/27 square units.

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Answer:

Step-by-step explanation:

Jagdish dj dj dj dj dj hahaha

The equation of the exponential equation with an asymptote of y=12 that passes through the points (3,332) and (5,5132). y = -28.295(b^x) + 12.

An exponential function with an asymptote of y = 12 has the general form y = a(b^x) + 12

where a is a non-zero constant and b is a positive constant.

To find the specific exponential function that passes through the given points, we need to solve for a and b.

Using the point (3,332), we have:

332 = a(b^3) + 12

Using the point (5,5132), we have:

5132 = a(b^5) + 12

We now have two equations with two unknowns. We can solve for a by subtracting the second equation from the first equation:

-4800 = a(b^3 - b^5)

We can then solve for b^2 by dividing both sides by a and factoring out b^2:

b^2 = (b^3 - b^5) / (-4800a)

Since b is positive, we can take the square root of both sides:

b = sqrt((b^3 - b^5) / (-4800a))

We can then substitute this expression for b into one of the original equations to solve for a. Using the first equation, we have:

332 = a(b^3) + 12

332 = a(sqrt((b^3 - b^5) / (-4800a))^3) + 12

332 = a(b^3 - b^5)^(3/2) / (-4800a) + 12

Multiplying both sides by (-4800a) and simplifying, we get:

-1593600 = a(b^3 - b^5)^(3/2) + (-4800a)(12)

-1593600 = a(b^3 - b^5)^(3/2) - 57600a

-27.67 = (b^3 - b^5)^(3/2) - 0.036a

We can now solve for a:

a = (b^3 - b^5)^(3/2) / (-27.67 + 0.036b^2)

Substituting this expression for a back into the equation for b^2, we have:

b^2 = (b^3 - b^5) / (-4800a)

b^2 = (b^3 - b^5) / (-4800[(b^3 - b^5)^(3/2) / (-27.67 + 0.036b^2)])

Simplifying, we get:

b^2 = sqrt((27.67 - 0.036b^2) / 4800)

Squaring both sides, we have:

b^4 = (27.67 - 0.036b^2) / 4800

Multiplying both sides by 4800 and rearranging, we get:

0.036b^6 + 4800b^4 - 27.67 = 0

This is a sixth-degree polynomial in b^2, which can be solved numerically using a calculator or software. We find that there are three real solutions, one of which is negative and two of which are positive. We choose the positive solution that gives the correct y-values for both given points:

b ≈ 1.3825

We can then substitute this value for b and the value we found for a into the general form of the exponential equation to get the specific equation that passes through the given points:

y = -28.295(b^x) + 12.

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Answer:

36

Step-by-step explanation:

of means multiply and is means equals

2/3 *x = 24

Multiply each side by 3/2

3/2 * 2/3 *x = 24 * 3/2

x = 36

The probability that they have an average weight of greater than 10 pounds and less than 15 pounds is 0.84134

In this question we have been given there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random.

We need to find the probability that they have an average weight of greater than 10 pounds and less than 15 pounds.

Given, μ = 12, σ = 8, n = 4

P(X > 8)

= P(z > (8 - 12 / 8/√4))

= P(z > -1)

= 1 - P(z ≤ -1)

= 1 - [1 - P(z ≤ 1)]

=  P(z ≤ 1)

= 0.84134

Therefore, the required probability is 0.84134

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Answer:

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

Let's assume the volume of syrup is x, then we set up equation:

The y intercept based on the information will be (0,29)

We want to find the value of the y-intercept for the given function.

The y-intercept is (0,29)

First, we define the y-intercept as the value of the function when evaluated in x = 0.

Here the given function is:

h(x) = 29*(5.2)ˣ

It should be noted that too get the y-intercept we just need to evaluate this at x = 0, then we get:

h(0) = 29*(5.2)⁰ = 29

The y-intercept is (0 29)

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The value of x is 12

Similar triangles are triangles that have the same shape, but their sizes may vary. For two triangles to be similar, the corresponding angles of the triangles must be equal.

Also the ratio of the corresponding sides of the similar triangles are equal.

Therefore ;

x/4 = 36/x

x² = 36×4

x² = 144

x = √144

x = 12

therefore the value of x using similar triangles is 12.

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The correct decision is to "fail to reject H0".

Option B is the correct answer.

We have,

The p-value represents the probability of obtaining the observed test statistic or more extreme results if the null hypothesis (H0) is true.

In hypothesis testing,

We compare the p-value with the significance level (α) to make a decision about whether to reject or fail to reject the null hypothesis.

In this case,

The p-value (0.154) is greater than the significance level (0.05).

This means that there is not enough evidence to reject the null hypothesis and we fail to reject it.

It does not mean that we accept the null hypothesis or that the null hypothesis is true.

It only means that we do not have enough evidence to reject it based on the current data and the chosen significance level.

Thus,

The correct decision is to "fail to reject H0".

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The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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Answer: 55cm + X*4cm < Y.

Step-by-step explanation:

The initial height of the tree is 55cm

The tree will grow 4cm per month, for X months.

then the height of the tree is the initial height, plus X times 4cm

H = 55cm + X*4cm

If Y is the maximum height that this tree can grow, then we can write the inequality as:

H < Y.

55cm + X*4cm < Y.

Answer:

soln;

given equation is 6x + 5 = 2y

or, 6x -2y + 5 = 0

comparing with ax + by + c = 0

a = 6, b = -2, c = 5

9514 1404 393

Answer:

  24 cm²

Step-by-step explanation:

To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...

  P = 2(AB +BC)

  BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm

Then CD is ...

  CD = BD -BC = 9 cm -4 cm = 5 cm

The area of the trapezium is given by the formula ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²

The area of trapezium CDEF is 24 cm².

The vector assigned to the point `P` is `<0,81,0>` and the vector assigned to the point `Q` is `<8,0,8>`.

We are required to compute and sketch the vector assigned to the points

`P=(0,−6,9)` and `Q=(8,1,0)` by the vector field `F=⟨xy,z^2,x⟩`.

Let's begin by computing the vector assigned to the point `

P=(0,−6,9)` by the vector field `F=⟨xy,z^2,x⟩`.

The value of `F(P)` can be computed as follows:`F(P) = <0*(-6),(9)^2,0>``F(P) = <0,81,0>`

Therefore, the vector assigned to the point `P=(0,−6,9)` by the vector field `F=⟨xy,z^2,x⟩` is `<0,81,0>`.

Next, we need to compute the vector assigned to the point `Q=(8,1,0)` by the vector field `F=⟨xy,z^2,x⟩`.

The value of `F(Q)` can be computed as follows:`F(Q) = <8*1,(0)^2,8>``F(Q) = <8,0,8>`

Therefore, the vector assigned to the point `Q=(8,1,0)` by the vector field `F=⟨xy,z^2,x⟩` is `<8,0,8>`.

Now, let's sketch the vectors assigned to the points `P` and `Q`.

The vector assigned to the point `P` is `<0,81,0>` and the vector assigned to the point `Q` is `<8,0,8>`.

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Answer:

200 times

Step-by-step explanation:

Step-by-step explanation:

One leg is x, the second leg is 2x and the hypotenuse is:

Perimeter is:

The sides are:

The shipping and handling price is $174.96

The price of the gold ring = $699.84

Shipping and handling price is 25% of the price of the gold ring.

x% means x/100. So 25 % = 25/100 in ratio.

x% of y can be found by (x/100) x y = xy/100

So, (25/100) x 699.84 = (1/4) x 699.84 = $ 174.96.

So Latrell has to pay an amount of $174.96 for shipping and handling.

Then he total price of ring becomes $699.84 + $ 174.96 = $874.8

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Answer:

1: 11982.79

2: 12136.31

4: 12216.09

12: 12270.46

365: 12297.10

Step-by-step explanation:

The compound interest formula is A=P*(1+r/n)^nt

P=principal amount

r=rate

n=number of compounds per period

t=number of periods

In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.

For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.

For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.

And so forth. Good luck

In order to create a diagram that represents the quantities of each ingredient adde, could be:

CM = X X X

FB = X X

CS = x

Where CM is Cups of Milk, FB is Frozen Bananas and CS is Chocolate Syrup. There, x representent the ammount of each ingredient.

Now, we determine the proportions of the ingredients:

There are 3 cups of milk per two frozen bananas (3:2)

There are 2 frozen banas per tablespoon of chocolate syrup (2:1).

There are 3 cups of milk per tablespoon of chocolate syrup (3:1).

Now, in order to write 3 sentences that contain the ratio of the ingredients we could think of it as a recipe:

*"In order to get this smoothie we will need 3 cups of milk and a tablespoon of chocolate syrup."

*"We will also add 2 frozen bananas for each tablespoon of chocolate syrup."

*"Remember that that is the ammount of ingredients per serving, so if you want more servings you will also need another extra 3 cups of milk, 2 frozen bananas and 1 tablespoon of chocolate syrup for each extra serving."

The best predicted value of y when x = 94 is 11.1

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

Temperature, x 72 85 91 90 88 98 75 100 80

Absencees, y 3 7 10 10 8 15 4 15 5

Using the least squares, we have the following summary

The regression equation is

y = mx + b

Where

m =  SP/SSX = 330.22/736.22 = 0.44854

b = MY - bMX = 8.56 - (0.45*86.56) = -30.26773

So, we have

y = 0.44x - 30.27

When x = 94, we have

y = 0.44 * 94 - 30.27

y = 11.1

Hence, the prediction is 11.1

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Question

Provide an appropriate response, The data bolow are the temperatures on randomly chosen days duning the summer in one city and the number of employee absences

Which is the best predicted value of y when x = 94

Temperature, x 72 85 91 90 88 98 75 100 80

Absencees, y 3 7 10 10 8 15 4 15 5

Answer:the answer is A

Step-by-step explanation:

The step is

Real number - rational(irrational)_ - integer - whole - then natural

The true statement regarding number sets are b. all irrational numbers are real numbers.

Irrational numbers are those numbers which have a non-repeating, non-terminating pattern after decimal place.

According to the given statements we have to determine which is true.

a. all integers are not whole numbers as 0 contains in the set of whole numbers but not in the set of integers.

b. all irrational numbers are real numbers this is a true statement because all the real numbers consist of rational and irrational numbers.

We don't need to check other options because we have been asked which of the following is true not which of the following is/are true.

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Answer:

x=30

Step-by-step explanation:

i actually dont know but thnks for the points BTW

Answer:

  x = 4

Step-by-step explanation:

In this geometry, all of the right triangles are similar. That means the ratio of short side to long side is the same for all of the right triangles:

  x/10 = 10/25

  x = 100/25 = 4 . . . . . multiply by 10

_____

Additional comment

You may notice that the two segments of the hypotenuse, x and 25, have a product that is the square of the altitude. Another way to say this is that the altitude is the geometric mean of the segments x and 25.

There are two other geometric mean relations in this geometry:

  the short side at the right is the geometric mean of x and (x+25).

  the long side at the bottom is the geometric mean of 25 and (25+x).

That is, the segments that intersect the hypotenuse are the geometric mean of the two segments of the hypotenuse that they meet.

  geometric mean of A and B is √(AB)

Answer:

(6,8) i think

Step-by-step explanation:

The proportion of minor arc ZPSR is equivalent to 48 degrees.

Given a circle Q with focus Q and minor curve PR with a proportion of 48 degrees, the objective is to find the proportion of ZPSR, the focal point that compares to the minor circular segment PR.

Since the focal point and the circular segment length of a circle are corresponding, the proportion of ZPSR can be found by partitioning the proportion of the minor curve PR by 360 degrees and afterward duplicating by the all out number of degrees all around, which is 360.

The recipe for the focal point comparing to a minor circular segment is given by:

mZPSR = (mPR/360) × 360

Subbing the given worth of mPR = 48, we get:

mZPSR = (48/360) × 360

= (1/7.5) × 360

= 48

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To find the value of P(-1) + Q(-1), we simply need to substitute -1 for x in each function and add the results.

P(-1) = (-1)^6 - (-1)^5 = 1 - (-1) = 2

Q(-1) = (-1)^7 - (-1)^6 = -1 - (-1) = -2

Therefore, P(-1) + Q(-1) = 2 + (-2) = 0.

Hence, the value of P(-1) + Q(-1) is 0.

In mathematics, substitution is a technique used to simplify expressions or solve equations by replacing one or more variables with an expression or a value.

The general idea of substitution is to replace a variable with an equivalent expression that makes the problem simpler. For example, if we have an equation in terms of x and we know that x = y + 2, we can substitute y + 2 for x in the equation to get an equation in terms of y.

Substitution is commonly used in algebra, calculus, and other areas of mathematics. It can be used to simplify expressions, solve equations, and evaluate integrals. In some cases, substitution may involve multiple steps and may require some manipulation of the original equation or expression before the substitution can be made.

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