Two random samples were taken to determine how often people in a community listen to the local radio station each month. The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20. The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12. Which statements are true? Check all that apply. The second sample is random. The second sample is likely to be more representative of the population. The first sample is likely to be more representative of the population. The second sample will give a better representation because is it larger. The first sample will give a better representation because it is smaller. Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

Answers

Answer 1

Answer:

The answers to this question are 1,2,4,6. Hope this helps you

Step-by-step explanation:

Answer 2

Statements A, B, E, and F are true. The second sample was taken at random using a fair sampling technique.

What is the probability?

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

The correct statement is as follows;

A) The second sample is random.

B) The second sample is likely to be more representative of the population.

D) The second sample will give a better representation because is it larger.

F) Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

The second sample was taken at random using a fair sampling technique.

Because the research using the larger data size is accepted rather than that of the smaller data, community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours.

A research's sample size is a crucial consideration. Additionally, the second sample is probably a better indicator of the broader population.

Hence statements A, B, E, and F are true.

To learn more about probability, refer to the link: https://brainly.com/question/795909.

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Related Questions

Help Please I'm Out Of Time ;(

Evaluate 2y² + y² / 3 for x = 1.5 and y = 3.
Show all of your work.

Answers

Answer:  6.25    IF my assumption is correct about the missing x!

The Other way around:   4.5  with    2x² + y² / 3

Step-by-step explanation:  2y² + y² / 3  assuming the 2nd y should have been x, 1st y  is y,  and all divided by 3

2(3)² + (1.5)² / 3

2(9) + 2.25   /3

18 + 2.25  /3

20.25/3

6.25

Edited to correct!________ OR 2y² + y² / 3  assuming the 1st y should have been x, 2nd y  is y,  and all divided by 3

2(1.5)² + (3)² / 3

2(2.25) + 9  / 3

4.5 + 9  /3

13.5 /3

4.5

Answer:

[tex]\frac{13.5}{3}[/tex]

Step-by-step explanation:

=> [tex]2x^2+y^2/3[/tex]

Where x = 1.5, y = 3

=> 2(1.5)²+(3)² / 3

=> 2(2.25)+9 / 3

=> 4.5 + 9 / 3

=> 13.5 / 3

=> [tex]\frac{13.5}{3}[/tex]

HELP!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?

Answers

Answer:

  21h miles

Step-by-step explanation:

The appropriate relation is ...

  distance = speed · time

__

We are given that ...

  biking time = h

  walking time = 2h

  running time = (1/4)(2h) = h/2

The total distance traveled is ...

  total distance = biking distance + walking distance + running distance

     = (10)(h) +(3)(2h) +(10)(h/2)

     = 10h + 6h + 5h

  total distance = 21h . . . miles

Answer:

21h miles

Step-by-step explanation:

The appropriate relation is ...

 distance = speed · time

__

We are given that ...

 biking time = h

 walking time = 2h

 running time = (1/4)(2h) = h/2

The total distance traveled is ...

 total distance = biking distance + walking distance + running distance

    = (10)(h) +(3)(2h) +(10)(h/2)

    = 10h + 6h + 5h

 total distance = 21h . . . miles:

Which function has the same graph as x+y= 11?
A. Ax) = -y + 11
B.
Rx) = -x + 11
C.
A x) = x-11
D.
*x) = y- 11

Answers

Answer:

the answer is b= -x+11

Answer:b

Step-by-step explanation:

Find the missing length indicated.

Answers

Answer:

Step-by-step explanation:

x=✓25*9

x=✓5^2*3^2

x=5*3

x=15

1) Explain the Distributive Property in your own words.

2) Give an example that shows how to use the Distributive Property to rewrite a one-variable expression.

Answers

Answer:

The Distributive Property states that when a number in parentheses is next to a number, you distribute the number outside of the parentheses and multiply by each of the numbers in parentheses.

5(10+x)=5(10)+5(x)=50+5x

:)

A motor is 85.4 % efficient: that is, the output is 85.4 % of the input.
What is the input if the motor delivers 10.75 hp. ( Round your answer to 1
decimal place.)

Answers

Answer:

12.6 hp

Step-by-step explanation:

output of motor = 85.4% of input of motor.

Given that motor delivers 10.75 hp, it means output of motor is 10.75hp

Using both the given conditions

10.75 = 85.4% of input of motor

=> 10.75 = 85.4/100  * input of motor

=> input of motor = 10.75*100/85.4 = 1075/85.5 hp = 12.57 hp.

Input of motor rounded to 1 decimal place = 12.6 hp

What is the equation, in point-slope form, of the line that
is perpendicular to the given line and passes through the
point (-4, -3)?
2
y + 3 = -4(x + 4)
y + 3= -1/4x + 4)
y + 3 = 1/4x + 4)
y + 3 = 4(x + 4)

Answers

Answer:

the answer is y+3=1/4x+4

Bob traveled 90 miles which was 83 1 3 % of his entire trip. How many miles did he have left?

Answers

The answer is going to be 7

Answer:

Bob has 18 more miles to go

Step-by-step explanation:

90 ÷ 83 1/3 • 100 = 108

108 - 90 = 18

18 miles

approximately 13% of the USA population is left handed. Hiw many lefties would expect in a school of 420 students​

Answers

Answer:

Approximately 55 students

Step-by-step explanation:

13% of 420 is 54.6 which you can then round up to 55

Hope this helped!

Answer:

55 students

Step-by-step explanation:

Take the percent and multiply by the number of students

13% * 420

.13 * 420

54.6

Rounding up

55 students

Answer PLS !!! Need it now

Answers

Answer:

area = 25.12

Step-by-step explanation:

area of circle = pi(r)^2

area = 3.14 (4)^2 /2

area = 3.14 (16) / 2

area = 50.24 / 2

area = 25.12

Answer:

A = 78.9568350285

Step-by-step explanation:

A = TTr^2/2

A = TT4^2/2

A = 12.5663706^2/2

A = 157.913670057/2

A = 78.9568350285

Help with this question(will gove thanks and brainlist)(Your suppose to determine the pattern and then fill in the 3 blanks)

Answers

Answer:

Step-by-step explanation

1.  8/9, 9/9, 10/9

2.  1/64, 1/128, 1/256

3.  -39, -48, -57

Answer

8/9,1,1 1/9

1/64, 1/128, 1/256

Step-by-step explanation:

the second sequence you just add1\9 each time then the other one you just double the denominator.

What exactly is a 'Factorial'? Give Brainlist to the finest answer

Answers

hi

It's a kind of multiplication where you do a serie of multiplication starting from your number until one.   It written with a  "!" after the number.

ex :    3! =  3*2*1  = 6

      10! = 10*9*8*7**6*5*4*3*2*1 = 2628800

Answer:

answer is below

Explanation:

A factorial multiplies a number by the numbers below it. A factorial also acts as a function.

An example of a factorial can be:

[tex]5!=5 \times 4 \times 3 \times 2 \times 1[/tex]

[tex]5!=120[/tex]

Factorial of zero is defined as 1.

What transformations were applied to ABC to obtain A'B'C'?
A. rotate 180 degrees counterclockwise, then shift 3 units down
B. rotate 270 degrees counterclockwise, then shift 3 units down
c. rotate 180 degrees counterclockwise, then shift 3 units up
D. rotate 270 degrees counterclockwise, then shift 3 units up
O

Answers

A
You can also find this on google

The required transformation is to rotate 270 degrees counterclockwise, then shift 3 units down. Option B is correct.

What is the geometry across the coordinate plane transformation?

Transform the coordinate plane's shapes by translating, rotating, or reflecting them. In the 19th century, Felix Klein introduced transformational geometry, a novel perspective on geometry.

Here,
In the graph, triangle ABC is transformed into triangle A'B'C' by a combination of rotation and translation. First, the triangle is rotated 270 degrees counterclockwise around the origin. Then, the resulting triangle is shifted 3 units down.

Thus, the required transformation is to rotate 270 degrees counterclockwise, then shift 3 units down. Option B is correct.

Here's where you can find out more about transformation: brainly.com/question/18065245
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Find a quadratic polynomial the sum and product of whose zeroes are -8 and 12 respectively. Hence find the zeroes.

Answers

Step-by-step explanation:

We khow the sum and the product of the zeroes of this quadratic polynomial

Here is a trick :

when we khow the sum S and the product P ofvtwo numbers we can find them by solving :

x²-Sx+p=0

here S= -8 and P=12

so:

x²+8x+12=0

Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12

Δ= 8²-4*12 =16

the zeros are:

(-8-4)/2= -6

(-8+4)/2 = -2

verify:

-6+(-2)= -8

-2*(-6)= 12

now the polynomial quadratic is:

(x+6)(x+2)

steve can run 3.5 miles in 30 minutes. if he increases his rate by 1/2 mile per hour, how far will he run in 2 hours?​

Answers

Answer:

15 miles

Step-by-step explanation:

Currently, he can run 3.5 * 2 = 7 mph. Adding 1/2 mph to that gives us 7.5 mph, so therefore, in 2 hours he can run 7.5 * 2 = 15 miles.

Answer:

15

Step-by-step explanation:

because its correct just did the thing.

Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y - 5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that
represents Angelo's second cut.
PLEASE HELP!

Answers

Answer:

y=5x+6

Step-by-step explanation:

Please see attached

Find the missing segment in the attached image

Answers

Answer:

The length of the missing segment is 24

Step-by-step explanation:

Given

The figure above

Required

Determine the missing segment

Let the missing segment be represented with x

Given that, there exist parallel lines between the two triangles;

The relationship between the sides of the triangles is as follows;

[tex]\frac{15}{x} = \frac{15+5}{8+x}[/tex]

[tex]\frac{15}{x} = \frac{20}{8+x}[/tex]

Cross Multiply

[tex]15 * (8 + x) = 20 * x[/tex]

Open bracket

[tex]15*8 + 15 * x = 20 * x[/tex]

[tex]120 + 15x = 20x[/tex]

Subtract 15x from both sides

[tex]120 + 15x -15x= 20x-15x[/tex]

[tex]120 = 20x-15x[/tex]

[tex]120 = 5x[/tex]

Divide both sides by 5

[tex]\frac{120}{5} = \frac{5x}{5}[/tex]

[tex]\frac{120}{5} = x[/tex]

[tex]24 = x[/tex]

[tex]x = 24[/tex]

Hence, the length of the missing segment is 24

If a sample consists of the following data values, what is the sample mean?
13, 91, 44, 68, 54, 16, 88, 74

Answers

Answer:

mean =sum of all data values

total number of data

13+91+44+68+54+16+88+74

8

448

8

=56

therefore the mean is 56

Answer: 51

Step-by-step explanation:

Please hurry❗️❗️❗️!!!!!!

Which expression is equivalent to a+(C+7)?
О 7ac
O a-(C+7)
O (C+7)-a
0 (a+c) + 7

Answers

Answer:

The answer is (a+c) + 7

Since addition is associative a + ( C + 7) can also be written as (a+c) + 7

Hope this helps you

Answer:

(a+c)+7

Step-by-step explanation: This method is called associative property.

On addition changing the order brings no change to the answer. For example:- 2+3=3+2. but don't confuse this with multiplication. For example, if the question was a(c+7), then you are supposed to multiply c, + and 7 by a.

Hope it would help :)

Reflection over the y-axis and a translation of shifting down 7 units.

Answers

Answer:  (-x, y-7)

Step-by-step explanation:

A reflection across the y-axis changes the sign of the x-value.

(x, y)   →  (-x, y)

Shifting down 7 units subtracts 7 from the y-value.

(-x, y)   →   (-x, y-7)

310
Which law would you use to simplify the expression
quotient of powers
power of a quotient
product of powers
power of a product

Answers

power of a quotient

edge 2021

The law used to simplify the expression is quotient of powers.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, 3¹⁰ / 3⁴, we need to determine the law used to simply the expression,

3¹⁰ / 3⁴

For this case we have an expression formed by a division of powers of the same base in which we must apply a law to simplify said expression.

By the definition we have the property of the power quotient of the same base set:

xᵃ / xᵇ = x⁽ᵃ⁻ᵇ⁾

So, using the same,

3¹⁰ / 3⁴ = 3⁽¹⁰⁻⁴⁾ = 3⁶

Thus, to simplify the expression we must use the property of the power quotient of the same base.

Hence, the law used to simplify the expression is quotient of powers.

Learn more about expression, click;

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What is the cost of an $8,000 car including 5½% tax?

Answers

Answer:

Car Price:

$8,000.00

Interest Paid:

$492.48

Sales Tax:

$448.00

Total Cost:

$8,940.48

In how many different ways can 6 people be seated at a round table

Answers

120

1x5x4x3x2x1

The nth term is going to be (n-1)

Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS: A) cos E = 312 + 392 – 2(31)(39) B) C) 562 = 392 – 2(39) ⋅ cos E D) 562 = 312 + 392 – 2(31)(39) ⋅ cos E

Answers

This question is incomplete because the options were not properly written.

Complete Question

Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS:

A) cos E = 31²+ 39² – 2(31)(39)

C) 56² = 39² – 2(39) ⋅ cos E

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Answer:

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Step-by-step explanation:

From the above diagram, we see are told to apply the law of cosines to solve for m∠E i.e Angle E

The formula for the Law of Cosines is given as:

c² = a² + b² − 2ab cos(C)

Because we have sides d , e and f and we are the look for m∠E the law of cosines would be:

e² = d² + f² - 2df cos (E)

e = 56

d = 39

f = 31

56² = 39² + 31² - (2 × 39 × 31) × cos E

Therefore, from the above calculation and step by step calculation, the option that applies the law of cosines correctly and could be solved to find m∠E

Is option D: 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Answer:

[tex]56^2 = 31^2 + 39^2 minus 2(31)(39) cos E[/tex]

Step-by-step explanation:

Hello, I just took the exam got the answer correct

A nautical mile is the unit of length used in sea and air navigation. A
nautical mile is equal to 6,174 feet. What percent of a statute mile, (5,360
feet) is a nautical mile? (Round to the nearest hundredth.)

Answers

Answer:

86.82%

Step-by-step explanation:

A nautical mile = 6,174 feet.

Statute mile =5,360 feet

The percentage of a statute mile to a nautical mile is calculated as:

5360/6174 × 100

= 0.8681567865 × 100

= 86.81567865%

Approximately to the nearest hundredth = 86.82%

Therefore, the percent of a statute mile that is a nautical mile rounded to the nearest hundredth is 86.82%

The box-and-whisker plots below represent the scores for two basketball teams throughout an entire season of games. Which of the two teams had the highest score in a single game?

Answers

Answer:

90

Step-by-step explanation:

*One half of two fifths of x.

Answer: Red Hawks

We can see this by looking at the max value of the bottom box plot. This is the tip of the whisker on the right. This value (115) is larger than the corresponding max for the Gophers (110).

Which expression is equivalent to (x Superscript one-half Baseline y Superscript negative one-fourth Baseline z) Superscript negative 2? StartFraction x Superscript one-half baseline Over y z squared EndFraction StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction StartFraction y Superscript one-half Baseline Over x z squared EndFraction

Answers

Answer:

[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

Step-by-step explanation:

Given

[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]

Required

Find the equivalent

To find the equivalent of the given expression; we have to apply laws of indices;

As a law;

[tex]a^{-m} = \frac{1}{a^m}[/tex]

So; the expression [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] becomes

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}}*\frac{1}{z^2}[/tex]

This is further simplified to

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}} * z^2}[/tex]

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}z^2}[/tex]

Combine to form a single fraction

[tex]\frac{x^{\frac{1}{2}}*1}{y^{\frac{1}{4}}z^2}[/tex]

Multiply numerator

[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

The expression can not be further simplified

Hence [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] is equivalent to [tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

Answer:

c

Step-by-step explanation:

x has a exponent of -1 after multiplying 1/2 and -2, so x has to be in the denominator of the answer no matter what.

Hope this helped other than the guy above lol

A team of 15 soccer players needs to choose a captain and a co-captain. Is this an example of permutations or combination. Then find the number of possiblities.

Answers

Answer:

Permuation; 210 possibilites

Step-by-step explanation:

With permutations we care about the order of the elements, whereas with combinations we don’t. For this question order matters, because you have two different positions you want to fill (captain, and co-captain).

This would be written as 15p2

To find the number of possibilities we want to use the permuation equation.

(,)=!(−)!

P=permutation

n= the set or population (15 soccer players)

r= subset (1 captain and 1 co-captain, total of 2)

(,)=(15,2)

=15!(15−2)!

= 210

If u are confused about !(factorial) in the equation here is a quick explanation

Many calculators have a factorial key (look for the ! symbol). This function of the calculator will automate the multiplications, but if you do not have a calculator that can compute factorials you just have to go like this

1! = 1

2! = 2 x 1 = 2

3! = 3 x 2 x 1 = 6

4! = 4 x 3 x 2 x 1 = 24

5! = 5 x 4 x 3 x 2 x 1 = 120

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800

etc

Hope this helps!!

The number of possibilities in choosing captain and co-captain are 210 ways.

What is the Permutations?

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that, a team of 15 soccer players needs to choose a captain and a co-captain.

Number of captains can be choose from 15 players.

Number of co-captains can be choose from 15-1=14 players.

So, the number of possibilities= 15×14

= 210 ways

Therefore, the number of possibilities in choosing captain and co-captain are 210 ways.

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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!

Answers

When it’s a function none of the numbers repeat so I would go with A
the answer is A because you can’t have values on the graph over eachother

explain the words and the connections of population ,area, urban,and density

Answers

Step-by-step explanation:

1. Population Area: this can be defined as a group of similar species

                                  inhabiting/ co-existing in a defined location or space

2. Urban population: urban areas are often more developed areas with                                                                   greater population than rural environments

                                   it's the people living in cities.

3. Population density: this  is a measurement of population per unit area..

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Complete the below table to calculate Income statement data in common-size percents.KORBIN COMPANY Common-Size Comparative Income Statements For Years Ended December 31, 2017, 2016, and 2015 2017 2016 2015 Sales 100.00% 100.00% 100.00% Cost of goods sold Gross profit Selling expenses Administrative expenses Total expenses Income before taxes Income taxes Net income _____ % _____ % _____ %2. Complete the below table to calculate the balance sheet data in trend percents with 2015 as the base year.KORBIN COMPANY Balance Sheet Data in Trend Percents December 31, 2017, 2016, and 2015 2017 2016 2015 Assets Current assets 100.00 % Long-term investments 100.00 Plant assets, net 100.00 Total assets _____ %_____ % 100.00 % Liabilities and Equity Current liabilities _____ %_____ % 100.00 % Common Stock 100.00 Other paid-in capital 100.00 Retained earnings 100.00Total liabilities and equity _____ % _____ % 100.00 Which of the following is true for both presidents roosevelt and wilson [PLEASE ANSWER BOTH QUESTIONS] The following data points represent the number of quesadillas each person at Toby's Tacos ate. Sort the data from least to greatest. Find the interquartile range (IQR) of the data set. Apply the distributive property to factor out the greatest common factor of all three terms. {10a - 25 + 5b} =10a25+5b = Consider this function. f(x) = x + 4 Which graph represents the inverse of function f? A.) W B.) X C.) Y D.) Z The following expression models the total number of pizzas sold in an hour, where x represents the number of discount couponsoffered. 41x/5x+2+12What does the constant term in the above function represents? What are some of the major differences between the ancient Olympics and modern-day Olympics? List and describe at least two differences. Drag each tile to the correct boxPlace the items in order from highest to lowest degree of internal organizationtissueorgan systemHID& Teachers can support all children by maximizing opportunities for face to face engagement ? What makes up the majority of the solar system?starsplanetsasteroidsspace solve and find the value of (1.7)^2 During 2021, Farewell Inc. had 500,000 shares of common stock and 50,000 shares of 6% cumulative preferred stock outstanding. The preferred stock has a par value of $100 per share. Farewell did not declare or pay any dividends during 2021. Farewell's net income for the year ended December 31, 2021, was $2.5 million. The income tax rate is 25%. Farewell granted 10,000 stock options to its executives on January 1 of this year. Each option gives its holder the right to buy 20 shares of common stock at an exercise price of $29 per share. The options vest after one year. The market price of the common stock averaged $30 per share during 2021. What is Farewell's diluted earnings per share for 2021, rounded to the nearest cent? A) $3.14. B) $4.90. C) $4.34. D) Cannot determine from the given information. Blue Cab Company had 50,000 shares of common stock outstanding on January 1, 2021. On April 1, 2021, the company issued 20,000 shares of common stock. The company had outstanding fully vested incentive stock options for 5,000 shares exercisable at $10 that had not been exercised by its executives. The end-of-year market price of common stock was $13 while the average price for the year was $12. The company reported net income in the amount of $269,915 for 2021. What is the diluted earnings per share (rounded)? A) $3.60. B) $4.10. C) $4.50. D) $3.81. HELP ME!!!!!!!!France strengthened its control over its colony in Indochina by: