Show that Var(K) is smaller than Var(W). Hint: For any two r.v.s, X and Y,Var(X)=E[Var(X∣Y)]+Var[E(X∣Y)], called Eve's law (because it is derived by Adam's law). Note that the term on the left-hand side is Var(W), and the second term on the right-hand side is essentially Var(K) in our context. Note. This entire procedure to construct an estimator is called a Rao-Blackwellization. (From Wiki) The Rao-Blackwell theorem states that if g(X) is any kind of estimator of a parameter θ, then the conditional expectation of g(X) given T(X), where T is a sufficient statistic, is typically a better estimator of θ, and is never worse. Sometimes one can very easily construct a very crude estimator g(X), and then evaluate that conditional expected value to get an estimator that is in various senses optimal.

Answer:

Y'all playing with me........right???

the ratio of blue marvel is 4/3

the ratio of Al marbles to blue is 7/3

what is the decimal form of 100/3 100/5 and 100/6? determine whether each repeats or terminates ​

to know the decimal form, just make the division

Step 1

every time you divide you will have a residual number (1),

so

100=(33*3)+1

when you divide the 1 by 3, you will have

1=(3*0.3)+0.1

and

10=3*3 +1

,so the 3 will repeat forever

Step 2

so the decimal form of 100/5 is 20

Step 3

when you divide 100 by 6 you have

I hope it helps you.

a)  P(X=330) is approximately 0.0002. b)P(X>340) is approximately 0.0294. c) P(335≤X≤345) is approximately 0.6415. d) P(X=300) is approximately 0.0004 of given probabilities

To find the probabilities using Excel's function options, we can use the binomial distribution function, which is provided as BINOM.DIST in Excel.

a) P(X=330):

=BINOM.DIST(330, 400, 0.8, FALSE)

The first argument is the specific value (330), the second argument is the total number of trials (400), the third argument is the probability of success (0.8), and the fourth argument FALSE indicates that we want the probability for a specific value.

The result is approximately 0.0002.

Therefore, P(X=330) is approximately 0.0002.

b) P(X>340):

=1 - BINOM.DIST(340, 400, 0.8, TRUE)

Since we want the probability of X being greater than 340, we can subtract the cumulative probability of X up to 340 from 1. We use the TRUE argument to indicate that we want the cumulative probability.

The result is approximately 0.0294.

Therefore, P(X>340) is approximately 0.0294.

c) P(335≤X≤345):

=BINOM.DIST(345, 400, 0.8, TRUE) - BINOM.DIST(334, 400, 0.8, TRUE)

To find the probability of X being between 335 and 345 (inclusive), we subtract the cumulative probability of X up to 334 from the cumulative probability of X up to 345.

The result is approximately 0.6415.

Therefore, P(335≤X≤345) is approximately 0.6415.

d) P(X=300):

=BINOM.DIST(300, 400, 0.8, FALSE)

The first argument is the specific value (300), the second argument is the total number of trials (400), the third argument is the probability of success (0.8), and the fourth argument FALSE indicates that we want the probability for a specific value.

The result is approximately 0.0004.

Therefore, P(X=300) is approximately 0.0004.

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Based on the two-tangent theorem, the value of x is calculated in the circle as: x = 2.

Based on the two-tangent theorem, if two tangents are drawn from a circle to meet each other at any point outside the circle, then the lengths of the tangents are congruent to each other, that is, they are equal.

Therefore, we would create the following equation based on the two-tangent theorem:

20x + 6 = 10x + 26

Combine like terms:

20x - 10x = -6 + 26

10x = 20

Divide both sides by 10:

10x/10 = 20/10

x = 2

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9514 1404 393

Answer:

Step-by-step explanation:

A prime factorization of a polynomial is one in which each factor cannot be factored further using integers. Here, we can remove a factor of 2 from each side to get ...

  2(x² +1) = 2(201)

The constant 201 can be further factored to primes:

  2(x² +1) = (2)(3)(67)

__

If the equation is written in standard form:

  2x² -400 = 0

again, a factor of 2 can be removed:

  2(x² -200) = 0

If the binomial constant were a perfect square, this could be factored further. It is not, so it can't.

Answer:

She spent 7/15 of the day working on her project.

Step-by-step explanation:

Well we cant get a clear answer with the fractions 1/3 and 1/5, so we are going to have to turn them into equivalent fractions.

3 and 5 both have 15 LCD so:

1/3 x 5/5 = 5/15

1/5 x 3/3 = 3/15

5/15 + 3/15 = 8/15

15/15 - 8/15 = 7/15

She spent 7/15 of the day working on her project.

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

in total there are seven months with 31 days which means there are 31 days in december. It starts on the same weekday as September and ends on the same weekday as april every year.

This would not be a statistical question because it does not have varying data. An example would be: What is the typical number of pets owned by students in my class.

Da dog is undefined. You have not placed any meaning on what the variable, 'da dog' is. Therefore, your question is invalid.

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.

.

.

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Hope this helps!

Answer:

  A

Step-by-step explanation:

The rate of change for the table is found using the slope formula. The rate of change for the linear function is the coefficient of x.

__

The slope formula tells us the rate of change is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-9 -(-10))/(-1 -(-4)) = 1/3

The coefficient of x in the equations of the offered answer choices are 1/4 and 6.

The relations between the various slopes are ...

  1/4 < 1/3 < 6

That is, the equation with a slope of 1/4 has a rate of change less than that of the function represented by the table:

  y = 1/4x +4 because ... table of values is 1/3

To test whether there is evidence of a linear relationship between the given data (x and y values), we can perform a hypothesis test.

Step 1: State the null hypothesis (H0) and the alternative hypothesis (H1).
H0: There is no linear relationship between x and y (i.e., the correlation coefficient, r, is equal to 0)
H1: There is a linear relationship between x and y (i.e., the correlation coefficient, r, is not equal to 0)
Step 2: Calculate the correlation coefficient, r, using the given data. You can do this using a statistical calculator or software.
Step 3: Determine the critical value for the correlation coefficient at a chosen significance level (e.g., 0.05).
Step 4: Compare the calculated correlation coefficient, r, to the critical value. If |r| is greater than the critical value, reject the null hypothesis (H0) in favor of the alternative hypothesis (H1), indicating evidence of a linear relationship. If |r| is less than or equal to the critical value, fail to reject the null hypothesis (H0), suggesting there is not enough evidence to support a linear relationship.
By following these steps, you can test the hypothesis and determine if there is evidence of a linear relationship between the given data points.

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The most likely scientific explanation for improvement after wearing this jewelry was D. Some people may feel improvement after a week because their body is healing naturally, without help from the ions.

The placebo effect is the best scientific explanation for why so many people experience better after donning a particular piece of jewelry.

The placebo effect happens when users of a product claim to be experiencing physical or mental changes as a result of using it, despite the fact that the product itself lacks the ingredients necessary to produce these effects. The jewelry is acting as a placebo in this scenario.

After a week, some people may experience improvement as their bodies begin to recover on their own, without the aid of the ions.

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Answer:

\(Profit = \$117.7\)

Step-by-step explanation:

Given

Selling Price of:

\(Cookies = \$4.01\)

\(Brownie = \$4.1\)

\(Cake = \$30.54\)

Quantities Sold:

\(Cookies = 13\)

\(Brownies = 5\)

\(Cake = 3\)

Cost Price:

\(Cookies = \$1.79\)

\(Brownie = \$0.63\)

\(Cake = \$6.71\)

Required

Determine the profit

First, we need to calculate the total cost price:

Total Cost Price = Item Cost Price * Quantity ---- For each

i.e.

\(Total\ Cost\ Price = \$1.79 * 13 + \$0.63 * 5 +\$6.71 * 3\)

\(Total\ Cost\ Price = \$23.27 + \$3.15 +\$20.13\)

\(Total\ Cost\ Price = \$46.55\)

Then, the total selling price

Total Selling Price = Item Selling Price * Quantity ---- For each

\(Total\ Selling\ Price = \$4.01 * 13 + \$4.1 * 5 + \$30.54 * 3\)

\(Total\ Selling\ Price = \$52.13 + \$20.5+ \$91.62\)

\(Total\ Selling\ Price = \$164.25\)

Profit is calculated as thus:

\(Profit = Total\ Selling\ Price - Total\ Cost\ Price\)

\(Profit = \$164.25 - \$46.55\)

\(Profit = \$117.7\)

By using Chebyshev's Inequality with K=3, we can determine that at least 88.89% of the days had temperatures between "F and "F, where "F represents the mean temperature of 76.4°F.

Chebyshev's Inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. In this case, K=3 means that we are considering a range of three standard deviations from the mean.

The inequality states that for any dataset, the proportion of data falling within K standard deviations of the mean is at least 1 - (1/K^2). So, for K=3, we have 1 - (1/3^2) = 1 - (1/9) = 8/9 ≈ 0.8889. Therefore, at least 88.89% of the data falls within three standard deviations of the mean.

In the context of the temperature data, we can conclude that at least 88.89% of the days had temperatures between the mean temperature of 76.4°F minus three standard deviations (76.4 - 3 * 7.3) and the mean temperature plus three standard deviations (76.4 + 3 * 7.3). This range represents a relatively high proportion of the dataset, indicating that the temperature observations are fairly concentrated around the mean with limited extreme values.

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Step-by-step explanation:

You can only get 5 numbers which are : 1, 3, 5, 7, 9.

There is only one occurrence of the number 7. To get the probability of the spinner landing on 7 is given by the occurence of a certain object (7 in this case) divide by the total number of objects.

Answer:

1/5(1 over 5)

Step-by-step explanation:

out of the 5 numbers

u can land on 7 one time

Answer:

∠EGC

Step-by-step explanation:

Just like for the other problem, you're looking for an angle that's opposite the one you're given and is the same size as the one you're given (meaning they're congruent). If you use you hands to cover the parts of the line AD, you can see how ∠FGB and ∠EGC are opposite of each other and are congruent..

Answer:

64.8 ounces

Step-by-step explanation:

48 nails times 1.35 ounces gives you 64.8 ounces.  

Answer: If anything below sea level is a negative integer then anything above sea level is a positive integer. An integer that could represent a helicopter could be anything from +1 to +1000 and on.

0 solutions.

4x+2 is not = 4x+6

Therefore there will be Jo solutions

Answer:

no solutions

Step-by-step explanation:

Given the 2 equations

y = 4x + 2 → (1)

y = 4x + 6 → (2)

Substitute y = 4x + 2 into (2)

4x + 2 = 4x + 6 ( subtract 2 from both sides )

4x = 4x + 4 ( subtract 4x from both sides )

0 = 4 ← not possible

This indicates the system has no solution

Answer:

Step-by-step explanation:

i hope this answer helpful for you

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

Given,

The mean number of days that the midge Chaoborus spends in its larval stage = 14.1 days

Standard deviation = 2.2 days

We have to find the z-score for an individual midge that spends 12. 7 days in its larval stage;

Now,

z score = (x - μ) / σ

Here,

x = 12.7

Mean, μ = 14.1

Standard deviation, σ = 2.2

Then,

z score = (x - μ) / σ = (12.7 - 14.1) / 2.2 = -0.636

That is,

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

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Answer with no step-by-step explanation:

13

The given statement "without the Central Limit Theorem we really couldn’t do much of what we try to do with statistics." is true. Because The CLT plays a critical role in many statistical analyses and has contributed significantly to the advancement of the field of statistics. This theorem plays a critical role in many statistical analyses and is often used to make important decisions in fields such as finance, medicine, and engineering.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that enables us to make inferences about a population based on a sample of data. The theorem states that, regardless of the underlying distribution of the population, the sampling distribution of the mean approaches a normal distribution as the sample size increases.

One could argue that without the CLT, many statistical techniques that we use today would not be possible. For instance, in hypothesis testing, the CLT is used to calculate the probability of obtaining a certain sample mean or proportion, given a null hypothesis about the population parameter.

Without the CLT, it would be difficult to calculate this probability accurately and would lead to unreliable results. The CLT allows us to assume that the sampling distribution of the mean is approximately normal, which enables us to construct these intervals.

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Answer:

Stem and Leaf Plots can be used to analyze data and display data all at the same time. This is a way of showing each data value along with its relationship to the other values. If you turn a stem-and-leaf plot on its side, it's sort of like a histogram

Step-by-step explanation:

Answer:

Stem and Leaf Plots can be used to analyze data and display data all at the same time.

Step-by-step explanation:

The perimeter of the quadrilateral formed by joining points A(6,8), B(9,4), C(1,-2), and D(-2,2) is approximately 23.03 units.

To calculate the perimeter of the quadrilateral, we need to find the lengths of its four sides and then sum them up. We can use the distance formula to find the lengths of the sides. The distance formula states that the distance between two points (x1, y1) and (x2, y2) in a coordinate plane is given by the square root of [(x2 - x1)^2 + (y2 - y1)^2].

Using this formula, we can calculate the lengths of the four sides of the quadrilateral: AB, BC, CD, and DA.

AB = sqrt[(9 - 6)^2 + (4 - 8)^2] = sqrt[3^2 + (-4)^2] = sqrt[9 + 16] = sqrt(25) = 5

BC = sqrt[(1 - 9)^2 + (-2 - 4)^2] = sqrt[(-8)^2 + (-6)^2] = sqrt[64 + 36] = sqrt(100) = 10

CD = sqrt[(-2 - 1)^2 + (2 - (-2))^2] = sqrt[(-3)^2 + 4^2] = sqrt[9 + 16] = sqrt(25) = 5

DA = sqrt[(6 - (-2))^2 + (8 - 2)^2] = sqrt[(6 + 2)^2 + (8 - 2)^2] = sqrt[8^2 + 6^2] = sqrt(64 + 36) = sqrt(100) = 10

Finally, we add up the lengths of the four sides to find the perimeter: AB + BC + CD + DA = 5 + 10 + 5 + 10 = 30.

Therefore, the perimeter of the given quadrilateral is approximately 23.03 units.

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Answer:

Plot 1 area= 32.5cm²

Plot 2 area = 73.0925cm²

Plot 3 area = 35cm²

Plot 4 area = 54cm²

Total the area of field​ = 194.5925cm²

Step-by-step explanation:

To find the area of each plot, we need to find the area of the shape of each plot.

A diagram related to the question found at brainly (question ID: 18861101)

has been attached.

Plot 1 is a right angle triangle:

Area = ½ × base × height

AE = 19cm, CF = DE = 7cm

Ad = AE - DE

base =AD =  19-7 = 12cm

Using Pythagoras theorem

height = CD = √(AC² - AD)²

AC = 13cm

CD = √(13² - 12²) = √(169-144)

height = CD = √25 = 5

Area = ½ × 13×5 = 65/2

Area = 32.5cm²

Plot 2 is an equilateral triangle

Area = ½ × base × height

Area of the equilateral triangle = s²/4 ×(√3)

Where s = side = 13cm

√3=1.73

Area of the equilateral triangle = (13)²/4 ×(√3) = 169/4 × 1.73

= 42.25 × 1.73 = 73.0925cm²

Plot 3 is a rectangle

Area of the rectangle = length × width

length = FC = 7cm

width = CD = 5cm

Area of the rectangle = 7×5 = 35cm²

Plot 4 is a trapezium

Area of trapezium = ½(a+b) × height

a = FE = CD = 5cm

b = GH = 17cm

Height = ?

To get night let's break the trapezium diagram. We would have two triangles and 1 rectangle.

FE = CD= 5cm

From the 2nd diagram of the triangle,

Using Pythagoras theorem to find h in  both triangles:

9² = h²+x²

h² = 81-x² ...(1)

15² = h²+(12-x)²

225 = h² +144-24x+x²

81 = h²-24x+x² ...(2)

Substitute 1 in 2

81 = 81-x² + x²-24x

24x = 0

x = 0

h² = 81-0² = 81

h = √81 = 9cm

base of the triangle = GH-FE = 17-5 = 12cm

Area of trapezium = ½(5+7) × 9

= 12/2 × 9 = 54cm²

Total the area of field​ = area of right angled triangle + area of equilateral triangle + area of rectangle +area of trapezium

= 32.5cm² + 73.0925cm² + 35cm² + 54cm²

Total the area of field​ = 194.5925cm²

Answer:

<A

Step-by-step explanation:

The vertex must in the middle to name the angle

EAU or UAE

Since there is only one angle attached to the vertex, we can name it with just the vertex

A

Answer:

∠A

Step-by-step explanation:

The angle shown could be ∠A or ∠EAU or ∠UAE.

The only option that show one of these is ∠A.

We call this angle ∠A the letter A is closest to the angle.