Explain briefly the difference between a quantile-based interval and a highest posterior density interval for a parameter 2. a

Answer:

The answer is 48g-40h+64

The volume of a cone is (1/3)πr2h.

In this problem r=2h or h=(1/2)r

Hence V = (1/6)πr3

dV/dt = (1/2)πr2 dr/dt

With this information you should now be able to answer the question. Remember the relation between r and h!

never mind i was right

im also so sorry if you dont understand or its not one of the answers

Answer:

t a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?

Step-by-step explanation:

Step-by-step explanation:

given the expression

\(x^22y^4(x^2 - 16) - 9y^4(x^4 - 16)\)

we proceed by opening the brackets

\(x^2y^4(x^2 - 16) - 9y^4(x^4 - 16) \\\\x^4y^4-16x^2y^4-9x^4y^4+144y^4\\\\\)

collet like terms we have

\(x^4y^4-16x^2y^4-9x^4y^4+144y^4 \\\\x^4y^4-9x^4y^4-16x^2y^4+144y^4 \\\\8x^4y^4-16x^2y^4+144y^4\)

factoring we have

\(8x^4y^4-16x^2y^4+144y^4\\\\8y^4(x^4-2x^2)+144y^4\)

Answer:

\(7^{-4}\)

Step-by-step explanation:

Using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\) , then

\((7^2)^{-2}\)

= \(7^{2(-2))}\)

= \(7^{-4}\)

The shape of the graph changes qualitatively at k = ± 2 and

\(k=\sqrt{(2)\).

The given function is f(x,y) = y-x²+y²+kxy.

The critical points of the function are found by taking the partial derivatives and equating them to zero:

∂f/∂x = -2x + ky = 0

y = 2x/k

∂f/∂y = 2y + kx = 0

y = -kx/2

Substituting y from the first equation into the second equation gives

x = k²x/4, so k² = 4 and k = ± 2.

Therefore, the critical points are (0,0), (2,4), and (-2,4)

We will now examine the critical points to see when the shape of the graph changes qualitatively.

There are two cases to consider:

Case 1: (0,0)At (0,0), the Hessian matrix is

H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]

=[ -2 0;0 2].

The determinant of the Hessian matrix is -4, which is negative.

Therefore, (0,0) is a saddle point and the graph changes qualitatively as k increases for all values of k.

Case 2: (±2,4)At (2,4) and (-2,4), the Hessian matrix is

H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]

=[ -2k 2k;2k 2].

The determinant of the Hessian matrix is 4k²+8, which is positive when k is greater than √(2).

Therefore, the critical points (2,4) and (-2,4) are local minima when

k > √(2).

Thus, the shape of the graph changes qualitatively at k = ± 2 and

k = √(2).

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Answer:

b

why would you measure with something too big or too small?

Answer:

h

Step-by-step explanation:

Do you mean, what's the base in "-(-6)^5

If so it's -6!

Answer:

C

Step-by-step explanation:

The Legth is 4

The surface area is 6a^2

The final equation is 6(4)^2

When you do 4^2 it’s the same as 4x4 which equals 16. All you have to do now is 6 x 16 and you get your answer

Hope this helps :D

The surface area of Chelsea's cube will be 96 cm² so option (C) will be correct.

A three-dimensional object with six equal square faces is called a cube. The cube's six square faces all have the same dimensions.

A cube is become by joining six squares such that the angle between any two adjacent lines should be 90 degrees.

The surface area of the cube = 6 side².

The volume of the cube = side³.

Given a cube

Side = 4cm

The surface area of the cube = 6 side² so

The surface area of a cube = 6(4²) = 96 cm².

So 96 cm² will be the correct answer to the given question.

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The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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12. Which of these is True concerning polynomials (Select All)

A) A degree 7 polynomial can have up to 7 extrema.

C) A cubic must have at least 1 real root.

D) The degree of y = (x − 2)ª (x +4)³ (x + 3)² is 9.

E) A degree 5 polynomial can have up to 5 roots.

One polygon has 6 sides and the other has 7 sides.

Polygons are closed 2D shapes made up of straight lines. Regular polygons have sides of equal length and angles of equal measure. In this problem, we are given information about two regular polygons.

We are told that the total number of sides in both polygons is 13. Let's call the number of sides in one polygon "n" and the number of sides in the other polygon "m". Then, we know that:

n + m = 13

Next, we are given the total number of diagonals in both polygons, which we can calculate using the formula:

d = (n(n-3) + m(m-3))/2

where "d" is the total number of diagonals. We are told that d = 25. Substituting this value and the equation for n + m into the diagonal formula, we get:

25 = (n(n-3) + m(m-3))/2

25 = (n² - 3n + m² - 3m)/2

50 = n² - 3n + m² - 3m

We can use the equation n + m = 13 to solve for one variable in terms of the other. For example, we can solve for "m" by subtracting "n" from both sides:

m = 13 - n

Substituting this into the previous equation, we get:

50 = n² - 3n + (13-n)² - 3(13-n)

50 = n² - 3n + 169 - 26n + n² - 36 + 3n

Simplifying this equation, we get:

2n² - 26n + 45 = 0

We can use the quadratic formula to solve for "n":

n = (26 ± √376)/4

n ≈ 5.61 or n ≈ 8.39

Since we are dealing with whole numbers of sides, "n" must be either 6 or 8. Plugging each value into the equation n + m = 13, we find that the other polygon must have the opposite value.

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The t value will be the result that is  58.851995039

The t-statistic for the observed correlation coefficient of 0.951 can be calculated to determine if it is statistically significant. Using the T.INV() spreadsheet function and the appropriate degrees of freedom.

We can test the null hypothesis of no correlation at the 5% significance level. Additionally, the T.DIST() function can be used to calculate the p-value of the t-statistic.

To calculate the t-statistic, we need to know the sample size (n) and the observed correlation coefficient (r). In this case, we have 37 monthly observations and a correlation coefficient of 0.951. The t-statistic can be calculated using the formula t = r x sqrt((n - 2) / (1 - r^2)). Plugging in the values, we find t = 0.951 x sqrt((37 - 2) / (1 - 0.951^2)).

By comparing this t-statistic to the critical value at the desired significance level (5% in this case), we can determine if the null hypothesis of no correlation can be rejected. Additionally, the p-value can be calculated using the T.DIST() function to determine the probability of obtaining a t-statistic as extreme as the observed value. If the p-value is less than the chosen significance level, the null hypothesis can be rejected.

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To calculate g(7), we need to find the value of x such that f(x) = 7. Since g(x) is the inverse of f(x), g(7) will be equal to that value of x.

So, we start by setting f(x) = 7: x^3 + 2x + 4 = 7
Simplifying this equation, we get: x^3 + 2x - 3 = 0

Now, we can use the fact that g(x) is the inverse of f(x) to find g(7) without actually finding a formula for g(x).

g(7) is equal to the value of x that satisfies f(x) = 7. But we just found that value of x - it's the solution to the equation x^3 + 2x - 3 = 0. So, g(7) = that solution.

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Answer:

9 is answer

Step-by-step explanation:

Hehe..hope it helps

Answer:

87 x 54 - 200 divided by 7
solving-4669[3|7] , 4669.428571
answer-32686.7

Step-by-step explanation:

The fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

A fraction represents a part of a whole.

1. Let's say Alexa had a total of 5x crayons in the bag.

the number of blue crayons in the bag is 2x,

There is one triangle for every two round crayons,

(1/2) × 2x = x (By condition)

So, the fraction of crayons that are blue triangle is x / 5x = 1/5.

The number of blue round crayons is 2x.

The number of non-blue crayons is 5x - 2x = 3x,

The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.

2.

4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.

The fraction of rubber footballs that are brown is 2/3.

The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.

The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.

The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.

So there are 4 times as many rubber footballs as non-rubber footballs

Hence,  the fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

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Answer:

8 root 2 or 11.3

Step-by-step explanation:

square 16 and divide by two to find square of other sides. Then root it to find answer

Answer:   8 root 2 or 11.3

Step-by-step explanation:

square 16 and divide by two to find square of other sides. Then root it to find answer

Answer:

501,000 adults 976,000 people total

Step-by-step explanation:

First step is adding 26,000 to 475,000 to find the number of adults, you get 501,000

Then you add 501,000 to 475,000 to get the total number of people, you get 976,000

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations.

If 501,000 grownups total then 976,000 people.

An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules.

Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations.

One mathematical expression makes up a term. It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in some terms have a number in front of them. A coefficient is the number placed before a term.

Given:

There were 475,000 children at a state fair.

There were 26,000 more adults than children at the state fair.

Number of adults = 26,000 × 475,000 = 501,000

Total number of people = 501,000 × 475,000 = 976,000

501,000 grownups total 976,000 people

Therefore, 501,000 grownups total 976,000 people.

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These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

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Answer:

no

Step-by-step explanation:

Janet can customize a car in 630 different ways.

To determine the number of ways Janet can customize a car, we need to multiply the number of options for each customization choice.

Number of car models: 10

Number of exterior colors: 7

Number of interior colors: 9

To calculate the total number of ways, we multiply these numbers together:

Total number of ways = Number of car models × Number of exterior colors × Number of interior colors

= 10 × 7 × 9

= 630

Therefore, the explanation shows that Janet has a total of 630 options or ways to customize her car, considering the available choices for car models, exterior colors, and interior colors.

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Answer:

Red Gold

Step-by-step explanation:

Assuming you mean 9/40

Red gold = 25%

Pink Gold = .2 which is 20%

Rose gold is \(\frac{9}{40}\) = .225 which is 22.5%

Answer:

do you s still need it or not anymore for if you do I could answer

Answer:

36 + 3b = 117

Step-by-step explanation:

36 is the one specialized cake he sold.

3 is the cost and b is how many it represents

117 is your total, so we piece it together.

36 + 3(b) = 117

Answer:

36 + 3b = 117

Step-by-step explanation:

36 is the one specialized cake he sold.

3 is the cost and b is how many it represents

117 is your total, so we piece it together.

36 + 3(b) = 117

Answer:

2

Step-by-step explanation:

a+18=20-> a+18-18=20-18->a=2

Answer:

a = 2

Step-by-step explanation:

-18  -18 (Subtract 18 from both sides.)

a = 2 (Simplify)  

The equation of a line that passes through a point (x₁, y₁) can be found using the slope-point form: y - y₁ = m(x - x₁), where m is the slope.

where m is the slope of the line. To find the slope, you can use two points on the line or use the rise over run formula: m = (y₂ - y₁) / (x₂ - x₁).

Once you have the slope, you can substitute the values of x₁, y₁, and m into the slope-point form to find the equation of the line. Alternatively, you can also find the equation of the line by using the point-slope form: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point that the line passes through.

Either way, once you have the equation of the line, you can use it to make predictions, plot points, and solve problems.

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