Help please question 3) and 5), Theorem 10 Quadrilateral inscribed in a circle. Find the value of the variables AND the angle’s indicated? show a few steps.

Help Please Question 3) And 5), Theorem 10 Quadrilateral Inscribed In A Circle. Find The Value Of The

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Answer 1

Check the picture below.

Help Please Question 3) And 5), Theorem 10 Quadrilateral Inscribed In A Circle. Find The Value Of The

Related Questions

Find the area of the figure. A composite figure made of a triangle, a square, and a semicircle. The diameter and base measure of the circle and triangle respectively is 6 feet. The triangle has a height of 3 feet. The square has sides measuring 2 feet. area: ft²

Answers

The total area of the figure in this problem is given as follows:

41.3 ft².

How to obtain the area of the composite figure?

The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.

The figure in this problem is composed as follows:

Triangle of base 6 feet and height 3 feet.Semicircle of radius 3 feet.Square of side length 2 feet.

Then the area of the triangle is given as follows:

At = 0.5 x 6 x 3 = 9 ft².

The area of the semicircle is given as follows:

Ac = π x 3² = 28.3 ft².

The area of the square is given as follows:

As = 2² = 4 ft².

Then the total area of the figure is given as follows:

9 + 28.3 + 4 = 41.3 ft².

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Find the area of the figure. A composite figure made of a triangle, a square, and a semicircle. The diameter

*NEED ANSWER ASAP* What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 1/9?

Answers

Answer:

= 0.1111111... = 0.1 (repeating)

Thus, 1 is the only repeating digit that  is repeating the infinite number of times

Step-by-step explanation:

Answer:

1 is repeating

Step-by-step explanation:

I need points

please help me and only answer if ur 100% sure

please help me and only answer if ur 100% sure

Answers

Answer:

CONSIDER THE POINTS (1,4) and (2,7)

\(m = \frac{y1 - y2}{x1 - x2} \\ \)

m=(7-4)/(2-1)

=3/1

m=3x

c=1

y=3x+1

the answer is option A

Answer:

y=3x+1

Step-by-step explanation:

here is your answer

please help me and only answer if ur 100% sure

do students who learned english and another language simultaneously score worse on the sat critical reading exam than the general population of test takers? the mean score among all test takers on the sat critical reading exam is 501. a random sample of 100 test takers who learned english and another language simultaneously has a mean sat critical reading score of 485 with a standard deviation of 116. do these results suggest that students who learn english as well as another language simultaneously score worse on the sat critical reading exam

Answers

Therefore, while these results do suggest that there may be a difference in SAT Critical Reading scores between students who learned English and another language simultaneously and the general population, further research is needed to understand the extent and causes of this difference.

Based on the information provided, it seems that students who learned English and another language simultaneously score lower on the SAT Critical Reading exam than the general population of test takers. The mean score of the general population is 501, while the mean score of the sample of 100 test takers who learned English and another language simultaneously is 485. This is a difference of 16 points, which could be considered statistically significant.

However, it is important to note that the standard deviation of the sample is quite high at 116. This suggests that there is a lot of variability in the scores of students who learned English and another language simultaneously, which could be due to a variety of factors such as differences in language proficiency or educational background.

Therefore, while these results do suggest that there may be a difference in SAT Critical Reading scores between students who learned English and another language simultaneously and the general population, further research is needed to understand the extent and causes of this difference.

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The results do not provide sufficient evidence to suggest that students who learn English and another language simultaneously score worse on the SAT critical reading exam than the general population of test takers.

We will use the terms: mean, standard deviation, sample size, and hypothesis testing.
Mean score among all test takers: 501
Mean score of the bilingual students' sample: 485
Standard deviation of the bilingual students' sample: 116
Sample size: 100.
To determine if bilingual students score worse on the SAT critical reading exam, we will conduct a hypothesis test.
Formulate the hypotheses
Null hypothesis (H0):

Bilingual students' mean score = General population mean score
Alternative hypothesis (H1):

Bilingual students' mean score < General population mean score
Calculate the test statistic
Test statistic = (Sample mean - Population mean) / (Standard deviation / sqrt(Sample size))
Test statistic = (485 - 501) / (116 / sqrt(100))
Test statistic = -16 / 11.6
Test statistic ≈ -1.38
Determine the critical value and significance level
We'll use a one-tailed test with a significance level (α) of 0.05. Using a standard normal (Z) table, the critical value is -1.645.
Compare test statistic to critical value
Since our test statistic (-1.38) is greater than the critical value (-1.645), we fail to reject the null hypothesis.

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An oil tanker is leaking at a constant rate per minute. After 12 minutes, 537 gallons of oil remain in the tanker. After 16 minutes, 336 gallons of oil remain in the tanker. Write the function f(t) that describes this scenario.​

Answers

The function f(t) = (235.5 - 25.125t) where t is the time in minutes.

How to write the function f(t)

Let the initial amount of oil in the tanker be denoted by 'C' (in gallons) and the leak rate be denoted by 'r' (in gallons per minute).

After 12 minutes, the amount of oil remaining in the tanker is given by:

C - 12r = 537

After 16 minutes, the amount of oil remaining in the tanker is given by:

C - 16r = 336

Solving these two equations simultaneously, we get:

C = 4r + 336

Substituting this value of C in the first equation, we get:

4r + 336 - 12r = 537

Simplifying this equation, we get:

-8r = 201

Dividing both sides by -8, we get:

r = -25.125

Therefore, the leak rate is 25.125 gallons per minute. Substituting this value of r in the equation C = 4r + 336, we get:

C = 4(-25.125) + 336 = 235.5

Therefore, the initial amount of oil in the tanker is 235.5 gallons.

The function f(t) that describes this scenario is:

f(t) = (235.5 - 25.125t) where t is the time in minutes.

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please help!
Find the rate of change!

1. -3
2. -1/3
3. 3
4. 1/3

please help! Find the rate of change! 1. -32. -1/33. 34. 1/3

Answers

Answer:

4. 1/3

Step-by-step explanation:

You can use RISE/RUN from the bottom point! You end up with 1/3!

I hope this helps!

Answer:

2!! aka -1/3

Step-by-step explanation:

so you are looking for the slope!! slope equations are always rise over run!! in this you have a negative line because it is going down. you had to rise one to get to the other point and move three points! this would get you -1/3!

Kelsey knit a total of 6 centimeters of scarf over 2 nights. After 4 nights of knitting, how many centimeters of scarf will Kelsey have knit in total? Assume the relationship is directly proportional.

Answers

Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!

How could I be a manager in life

Answers

Answer:

Get to know your empoyees and what they want

Communicate

Listen to your boss and empoyees

Be a MOTIVATOR

Be a leader

Improve yourself not just other

Step-by-step explanation:

PLEASE HELP ASAP!!
A video screen is 16 in. by 12 in. tall. What is the width of the largest complete image possible for a photograph that is 4 in. wide by 6 in. tall?

PLEASE HELP ASAP!!A video screen is 16 in. by 12 in. tall. What is the width of the largest complete

Answers

Answer:

16 inches, and 10 inches tall, aka Answer D.

So because, they are asking the largest image for the photograph,

so 8 * 2 = 16

and 10 * 2 = 20 but 20 can't go into 12.

Step-by-step explanation:

I think this is right sry if its not

The width of the largest complete image possible for a photograph that is 4 in. wide by 6 in. tall is 8 in option (B) 8 in is correct.

What is a scale factor?

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

We have:

A video screen is 16 in. by 12 in. tall.

To find the width of the largest complete image possible for a photograph that is 4 in. wide by 6 in. tall, we can use the scale factor:

Applying the similarity law:

6/12 = 4/x

1/2 = 4/x

x = 4×2

x = 8 in

Thus, the width of the largest complete image possible for a photograph that is 4 in. wide by 6 in. tall is 8 in option (B) 8 in is correct.

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how many sets of four consecutive positive integers are there such that the product of the four integers is less than 100,000?

Answers

There are 20 sets of four consecutive positive integers such that the product of the four integers is less than 100,000. The maximum value of the smallest integer in each set is 20.

To determine the number of sets of four consecutive positive integers whose product is less than 100,000, we can set up an equation and solve it.

Let's assume the smallest integer in the set is n. The four consecutive positive integers would be n, n+1, n+2, and n+3.

The product of these four integers is:

n * (n+1) * (n+2) * (n+3)

To count the number of sets, we need to find the maximum value of n that satisfies the condition where the product is less than 100,000.

Setting up the inequality:

n * (n+1) * (n+2) * (n+3) < 100,000

Now we can solve this inequality to find the maximum value of n.

By trial and error or using numerical methods, we find that the largest value of n that satisfies the inequality is n = 20.

Therefore, there are 20 sets of four consecutive positive integers whose product is less than 100,000.

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please help me answer this

please help me answer this

Answers

Answer:

24,000 milliliters

Step-by-step explanation:

Because

1 liter = 1000 milliliters

so 24 liters would be 24,000 Milliliters

If you had 56 pieces of data and wanted to make a histogram, how many bins are recommended? a. 4-5 b. 6 c. 7-8 d. 9 e. > 10

Answers

A high number of bins can produce noise and conceal the underlying pattern, whereas a small number of bins can oversimplify the distribution and obscure key characteristics equation  .

What is equation?

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

The data and the goal of the display will determine the ideal number of bins for a histogram. The square root of the total number of data points can, however, be used to determine the number of bins as a general rule of thumb.

In this instance, the square root of 56 is around 7.5 and there are 56 bits of data. As a result, we may start with a range of 7-8 bins, which would provide the histogram a solid place to start.

It's crucial to remember that changing the number of bins might affect how the data should be interpreted. A high number of bins can produce noise and conceal the underlying pattern, whereas a small number of bins can oversimplify the distribution and obscure key characteristics.

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Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is

Answers

To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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Final answer:

The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

Explanation:

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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For each one-year period after a car was purchased, its value at the end of the year was 15% less than its value at the beginning of the year

State whether the value of the car as a function of time after it was purchased is best modeled with a linear function, a quadratic function, or an exponential function, and explain why.

Enter your answer and your work or explanation in the space provided.

PART B

If the value of the car 2 years after it was purchased is $17,918, what was the value of the car when it was purchased? Show your work or explain your answer.

Answers

Part A) The value of the car as a function of time after it was purchased is best modeled with an exponential decay function.

Part B) The value of If the value of the car 2 years after it was purchased is $17,918, its value when it was purchased was $24,800.

What is an exponential decay function?

Exponential functions are classified into two: exponential growth and exponential decay functions.

Exponential decay functions are modeled as y = a(1 - r)ˣ, where y is the decreased or decay value, a is the initial value, r is the decay rate, while x is the exponent, representing the number of periods.

Annual decreasing rate in value = 15% = 0.15

Decay factor = 0.85 (1 - 0.15)

f(x) = a(1 - 0.15)^t

Where x = the value of the car after t years

a = the initial or purchase value of the car

t = the years expired after the purchase date

B) If t = 2 years

x = $17,918

f(x) = a(1 - 0.15)^t

17,918 = a(0.85)^2

a = $24,800

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which of the following is a justification for overidentification tests? group of answer choices if each instrument satisfies both the inclusion and exclusion condition, than using each instrument alone should produce an unbiased estimate of b1. if each instrument satisfies both the inclusion and exclusion condition, than using each instrument alone will produce biased results. once we identify the excessive identification condition, the efficiency of our estimates will improve. they allow us to identify weak instruments.

Answers

The justification for overidentification tests is option A, if each instrument satisfies both the inclusion and exclusion condition, than using each instrument alone should produce an unbiased estimate of B1.

The J-test, also known as the overidentifying restrictions test, is a method for determining if additional instruments are exogenous. There must be more instruments than endogenous regressors for the J-test to be valid.

An assessment of overidentifying limits is the Sargan-Hansen test. The combined null hypothesis is that the excluded instruments are accurately omitted from the calculated equation and that the instruments are valid instruments, i.e., uncorrelated with the error component.

Option A provides the basis for overidentification tests. If each instrument satisfies the inclusion and exclusion criteria, then utilizing each instrument separately should result in an accurate estimate of B1.

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4 bags of candy each contain 5 butterscotch candies and some
peppermint candies.Altogether, the bags contain 52 candies.

Answers

The required number of Peppermint candies in each bag is 8.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let the number of peppermint candies be x in each bag,
Butterscotch candies in 5 bags = 5 × 4 = 20 candies
Peppermint candies in 5 bags = x × 4 = 4x candies

According to the quesiton, Altogether, the bags contain 52 candies.
20 + 4x = 52
x = 8

Thus, the required number of Peppermint candies in each bag is 8.

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Don’t know how to solve

Dont know how to solve

Answers

Answer:

Θ ≈11.31°

Step-by-step explanation:

the model is a right triangle with side opposite being the height and side adjacent the horizontal length , in relation to angle Θ , then

using the tangent ration

tanΘ = \(\frac{opposite}{adjacent}\) = \(\frac{4}{20}\) , then

Θ = \(tan^{-1}\) ( \(\frac{4}{20}\) ) ≈ 11.31° ( to 2 dec. places )

find the gcf and the distributive property to each sum.19,22

Answers

Answer:

50 is sum of gcf its couldn't of 19 is 20

Help me please.. :)
(favorite song?)

Help me please.. :) (favorite song?)

Answers

Sis I don’t know I’m so sorry I just need help with my answers nsjsj jsjsjs

Answer:

(3,7)

Step-by-step explanation: My favorite song rn is like I want you by giveon

A triangular prism has length 20 cm and its triangular base is an isosceles right-angled triangle having equal sides 6 cm. Find its total surface area and volume.​

Answers

The Volume=  180 cm³ and Area = 445.59997 cm²

What is Surface area?

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

The area is the volume a two-dimensional flat surface takes up in space. Square units are used in the calculation. The total area of all the outside surfaces makes up the surface area of a three-dimensional object, which is also expressed in square units.

Given:

length = 20cm

sides= 6 cm

Volume of Prism

AB= √s(s﹣a)(s﹣b)(s﹣c)

and, V=Area x h

so, Volume= 1/4 h √s(s﹣a)(s﹣b)(s﹣c)

Volume= 1/4 (20) √10.24(10.24﹣8.48)(10.24﹣6)(10.24﹣6)

Volume=  180 cm³

A=(ah +bh +ch )+1/2√-\(a^4\)+2(ab)²+2(ac)²﹣\(b^4\)+2(bc)²﹣\(c^4\)

Area = 6·20+8.48(20)+6(20)+1/2√\(-6^4\)+2( 6 x 8.48 )²+2(6x 8.48)²﹣\(8.48^4\)+2(6x6)²﹣\(6^4\)

Area = 445.59997 cm²

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Kim is installing blue
white tile in her bathroom. She
made a diagram of
the layout showing the area of both colors. Write two
expressions that describe the area of the blue tile.

Kim is installing bluewhite tile in her bathroom. Shemade a diagram ofthe layout showing the area of

Answers

Answer:

4/9, 44.4%

Step-by-step explanation:

16 tiles are blue out of 36

16/36 = 4/9

4 ÷ 9 × 100 = 44.4%

Raheel is comparing the cost of two parking garages. Garage A charges a flat fee of $6 per car plus $0.50 per hour. Garage B charges a flat fee of $2 per car plus $1 per hour.

Answers

Answer:

$6 + .50x = $2 + $1.00x

4 = .50x

8hr = x, the number of hours when both garages cost the same amount

$6 + .50 x 8 =

$10 would be the cost a both garages after 8 hours

Step-by-step explanation:

#A

Flat fee=6Rate of change=0.5

Equation in slope intercept form

y=mx+by=0.5x+6

#B

Flat fee=2$Rate of change=1

Equation in slope intercept form

y=x+2

Now for compare take any no

Let's take 10

For garage A

y=0.5(10)+6=5+6=11$

For garage B

y=10+2=12$

Hence Garage B is charging more

Which of the following best describes a single line that is the same distance from the parabola as the focus is from the parabola?
O A Axis
O B. Locus
O C. Vertex
O D. Directrix​

Answers

Answer:

if im not mistaken its..A

Step-by-step explanation:

Single line that is the same distance from the parabola as the focus is from the parabola is Axis.

What is parabola?

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

As, A locus is a set of points satisfying a given condition.

and, The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.

Also, The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

Thus, by considering the above definition we can say that the line that is the same distance from the parabola as the focus is from the parabola is Axis.

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Consider the following.∫∫D x dA, D is enclosed by the lines y = x, y = 0, x = 3Express D as a region of type I.a. D = {(x, y) | y ≤ x ≤ 3, 0 ≤ y ≤ x}b. D = {(x, y) | 0 < x < y, 0 < y < x}c. D = {(x, y) | 0 ≤ x ≤ y, 0 ≤ y ≤ 3}d. D = {(x, y) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x}e. D = {(x, y) | 0 ≤ x ≤ y, 0 ≤ y ≤ x}Express D as a region of type II.a. D = {(x, y) | 0 ≤ y ≤ x, y ≤ x ≤ 3}b. D = {(x, y) | 0 ≤ y ≤ 3, y ≤ x ≤ 3}c. D = {(x, y) | 0 ≤ y ≤ x, 0 ≤ x ≤ y}d. D = {(x, y) | 0 ≤ y ≤ 3, 0 ≤ x ≤ y}e. D = {(x, y) | 0 ≤ y ≤ 3, 0 ≤ x ≤ 3}Evaluate the double integral in two ways.__________

Answers

The Value of the double integral is 9/2.

To Evaluate the double integral ∫∫D x dA, we need to express the region D as a type I or type II region, and then integrate over that region.

For D enclosed by the lines y = x, y = 0, x = 3, we can see that the region is a right triangle with vertices at (0,0), (3,0), and (3,3), so it can be expressed as a type I region with:

a. D = {(x, y) | y ≤ x ≤ 3, 0 ≤ y ≤ x}

or as a type II region with:

b. D = {(x, y) | 0 ≤ y ≤ 3, y ≤ x ≤ 3}

To evaluate the double integral using either of these regions, we can use iterated integrals.

Using a type I region:

∫∫D x dA = ∫0³ ∫y³ x dy dx

= ∫0³ ∫0x x dy dx

= ∫0³ ½x² dx

= 9/2

Using a type II region:

∫∫D x dA = ∫0³ ∫0y y dx dy

= ∫0³ ½y² dy

= 9/2

.

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7th grade girl!

*(urgent, please help! )*

7th grade girl!*(urgent, please help! )*

Answers

For all the angles, you will have to solve for x

A: 162 = 3x

162/3 = x

54 = x

M: 120 + 2x = 180

2x = 180 - 120

2x = 60

x = 60/2

x = 30

W: 150 = 30x

150/30 = x

5 = x

S: 20 + 2x = 90

2x = 90 - 20

x = 70/2

x = 35

Q : 45 + 5x = 90

5x = 90 - 45

x = 45/5

x = 9

P: not too sure if its 150,

150 + (x+5) = 180

x+5 = 180- 150

x = 30 - 5

x = 25

now you will put all the x values in order. ( i think thats what you supposed to do)

it will be: 5, 9, 25, 30, 35, 54

hope this helps♡♡♡

Can you guys help me

Can you guys help me

Answers

Answer:

The area of triangle VZX is 210 cm^2

Step-by-step explanation:

Here, we want to get the measure of the area of triangle VZX

From the given diagram, we have two explicit triangles making up triangle VWX

These are triangles VWZ and VZX

By adding the areas of both triangles, we can get the area of VWX

Mathematically, the area of VZX is the difference between the area of VWX and VZW

To get the area of VZW, we can use the formula for the area of a triangle

We have this as 1/2 * base * height

base = 35 cm and height = 28 cm

The area of VWZ is 1/2 * 35 * 28 = 490 cm^2

The area of triangle VZX is thus;

700 cm^2 - 490 cm^2 = 210 cm^2

Doubling the size of the sample will a. double the standard error of the mean b. have no effect on the standard error of the mean c. reduce the standard error of the mean to approximately 70% of its current value d. reduce the standard error of the mean to one-half its current value

Answers

Using the Central Limit Theorem, it is found that the correct option regarding the standard error of the mean is given by:

c. reduce the standard error of the mean to approximately 70% of its current value.

What does the Central Limit Theorem states about the standard error of the mean?

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard error \(s = \frac{\sigma}{\sqrt{n}}\).

Doubling n, we have that:

\(s_d = \frac{\sigma}{\sqrt{2n}} = \frac{1}{\sqrt{2}}\left(\frac{\sigma}{\sqrt{n}}\right) = 0.7\left(\frac{\sigma}{\sqrt{n}}\right) = 0.7s\)

Hence option C is correct.

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(100 POINTS) Please help I'll give brainliest!
Image attached.

(100 POINTS) Please help I'll give brainliest!Image attached.

Answers

#1

Area of base=1/2(2.8)(4.2)

2.8(2.1)5.88in²

Volume:

Area of base×Height5.88(7)41.16in³

#2

Area of base

6×1/2(7)(6.1)3(7)(6.1)128.1cm²

Volume:-

128.1(14)1793.4cm³

Answer:

Volume of a prism = area of base × height

⇒ V = Bh

Question 7

The base of this prism is the triangle.

Area of a triangle = 0.5 × base × height

Given:

base of triangle = 4.2 mheight of triangle = 2.8 mheight of prism = 7 m

Therefore:

\(\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 4.2} \cdot \boxed{\sf 2.8}) \cdot 7\\ & = \sf \boxed{\sf 41.16}\:m^3\end{aligned}\)

Question 8

The base of this prism is a regular hexagon.

Area of a hexagon = 0.5 × apothem × perimeter

Given:

apothem of base = 6.1 cmside length of base = 7 cmnumber of sides of base = 6height of prism = 14 cm

Therefore:

\(\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 6.1} \cdot 7 \cdot 6) \cdot \boxed{\sf 14}\\ & = \sf 128.1 \cdot \boxed{\sf 14}\\ & = \sf \boxed{\sf1793.4}\:cm^3\end{aligned}\)

use lagrange multipliers to find the maximum and minimum

Answers

i need more information

suppose that the p.d.f of a random variable x with a continuous distribution is f(x) = 2x 0 < x < 1. find the expectation of 1/x

Answers

Thus, the expectation of 1/x for random variable x the given pdf is 2.

To find the expectation of 1/x, we need to compute the expected value E(1/x) for the given probability density function (pdf) f(x) = 2x, where 0 < x < 1.

The expected value E(1/x) is calculated using the following integral:

E(1/x) = ∫[1/x * f(x)] dx, evaluated over the range 0 < x < 1.

Substitute f(x) = 2x into the integral:

E(1/x) = ∫[(1/x) * (2x)] dx, from x = 0 to x = 1.

Simplify the integral:

E(1/x) = ∫2 dx, from x = 0 to x = 1.

Now, integrate and evaluate:

E(1/x) = [2x] from x = 0 to x = 1.

E(1/x) = 2(1) - 2(0) = 2.

So, the expectation of 1/x for the given pdf is 2.

Know more about the probability density function

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