Mathematics High School

Valeriya wants to determine the likely voting outcome for the new town council election. Which sample is likely to yield the most biased results?



A. every tenth person working for the largest corporation in town
B. ten people chosen at random from each page of the town’s phone list
C. every tenth person walking down Main Street in town on a variety of days and times of the day
D. ten eligible voters chosen at random from each of the different neighborhoods in town

Answers

Answer 1
I guess that it would be A because people working in the largest corporation might have differing opinions from people who do not work in big companies/corporations. There's different benefits that people can receive based on their working place. Perhaps the people working in the largest corporation might only represent the upperclass but there's also others who do not work in the corporations and might not have the benefits that one can receive if they have a good pay as the upperclass. 
Answer 2

Answer:

A. Every tenth person working for the largest corporation in town

Step-by-step explanation:

We are given that,

'Valeriya wants to determine the likely voting outcome for the new town council election'.

It is required to find the most biased outcome.

Now, from the options, we see that,

'Every tenth person working for the largest corporation in town'.

will yield the most biased result, as the people working in the largest corporation may have different opinions and benefits.

So, it is most likely that the voting result for this sample may result in the outcome beneficial to only the people working in the large corporations and not for others.

Thus, sample A will yield a most biased result.

Related Questions

Identify the degree of the polynomial 8x^3y^2 – 10xy + 4x^2y^2 + 3.

Answers

When the polynomial has more than one variable you have to sum the exponents of the variables for every monomial. The largest sum is the order of the polynomial.

Here:

momomial   sum of the exponents
8x^3y^2       3 + 2  = 5
-10xy           1 + 1 = 2
4x^2y^2       2 + 2 = 4

Then the degree is 5.

Answer:

The degree of the polynomial is 5

Step-by-step explanation:

Silver scooter finds that it costs $300 to produce each scooter and the fixed costs are $750. The price is given by p=900-x, where p is the price in dollars at which exactly x scooters will be sold. Find the quantity of scooters that the company should produce and the price it should charge to maximize profit. Find the maximum profit. ...?

Answers

Final answer:

To maximize profit, the company should produce 300 scooters and charge a price of $600. The maximum profit is $88,500.

Explanation:

The company should produce a quantity of scooters that maximizes profit. To find this quantity, we need to find the point where marginal revenue (MR) equals marginal cost (MC). In this case, MR is given by the derivative of the price equation, which is -1. So, we set -1 equal to the derivative of the cost equation and solve for x:

-1 = 300

This gives us x = 300. So, the company should produce 300 scooters to maximize profit. To find the price, we substitute this value of x into the price equation:

p = 900 - 300 = 600

Therefore, the company should produce 300 scooters and charge a price of $600 to maximize profit. The maximum profit can be calculated by subtracting the total cost from the total revenue. The total revenue is given by the price multiplied by the quantity sold, and the total cost is given by the fixed costs plus the cost per unit multiplied by the quantity sold. Using the given values, we have:

Total revenue = 600 * 300 = $180,000

Total cost = 750 + 300 * 300 = $91,500

Maximum profit = Total revenue - Total cost = $180,000 - $91,500 = $88,500

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If the public debt of a country in 2009 was $12,752,000,000,000 and the budget for 2010 was in deficit by $201,645,000,000, what was the public debt in 2007?

Answers

Answer:

$ 12953645000000

Step-by-step explanation:


Final answer:

To find the public debt in 2007, subtract the deficit for 2008 from the public debt in 2007.

Explanation:

To calculate the public debt in 2007, we need to work backwards from the given information. We know that the public debt in 2009 was $12,752,000,000,000 and the budget for 2010 was in deficit by $201,645,000,000. We can assume that the deficit for each year is equal to the change in the public debt from the previous year. So, we subtract the deficit for 2010 from the public debt in 2009 to find the public debt in 2010. Then, we subtract the deficit for 2009 from the public debt in 2010 to find the public debt in 2008. Continuing this process, we can subtract the deficit for 2008 from the public debt in 2007 to find the answer.

To summarize, we can find the public debt in 2007 by subtracting the deficit for 2008 from the public debt in 2007.

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a 6 feet tall boy cast a shadow of 9 feet at the same time of the day if the shadow of a tree measures 21 feet what is the height of the tree

Answers

Ratio of object to it's shadow = 6/9 = 2/3

So, height of the tree would be: 21 * 2/3 = 14 feet

So, your final answer is 14 feet

Hope this helps!

Order the numbers from least to greatest.
0.21,1/5 , 0.18, 24%

Answers

1/5,0.18,0.21,24% 1/5 is .02 and 24% is 0.24

The arrangement from least to greatest is 0.18 < 0.20< 0.21< 0.24.

What is Ascending Order?

Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.

Given:

0.21,1/5 , 0.18, 24%

Now, writing each fraction in decimal form

1/5 = 0.2

24% = 24/100 = 0.24

So, we have the following numbers

0.21, 0.20, 0.18, 0.24

Hence, the arrangement from least to greatest is 0.18 < 0.20< 0.21< 0.24.

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Which equation represents the line that passes through (–6, 7) and (–3, 6)?

Answers

y= -1/3x+5 is the equation to represent this line

Answer:

Equation of line become [tex]y= \frac{- 1 *x}{3}+ 5[/tex].

Step-by-step explanation:

slope of the line

we know that the formula to calculate the slope between two points is equal to

Slope (m) = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1}}[/tex].

substitute the values

(m) = [tex]\frac{6 - 7} }{ -3 - (-6)}[/tex].

(m) = [tex]\frac{-1} }{3}[/tex].

With the slope m and the point (-6, 7)  find the equation of the line

we know that

the equation of the line in the point-slope form is equal to

[tex](y - y_{1}) = m ( x - x_{1})[/tex].

substitute the values

[tex](y - 7) = \frac{-1}{3} (x - ( -6))[/tex].

[tex](y - 7) = \frac{-1}{3} (x + 6)[/tex].

[tex](y - 7) = \frac{-x}{3} +2 )[/tex].

On adding both sides by 7.

[tex]y= \frac{-x}{3}  - 2 + 7 [/tex].

[tex]y= \frac{-x}{3}+ 5[/tex].

Therefore, equation of line become [tex]y= \frac{-1 *x}{3}+ 5[/tex].

Paper cost $49 for 10 reams. How much for 1 ream?

Answers

For 10 ream, it's cost = $49
So, for 1 ream, it would be: $49/10 = $4.9

So, your final answer is $4.9

Hope this helps!

To calculate the cost of 1 ream of paper from the total cost of 10 reams, divide $49 by 10 to get $4.90 per ream.

To find out how much it costs for 1 ream of paper when 10 reams cost $49, we simply divide the total cost by the number of reams. In this case:
Cost per ream = Total cost / Number of reams
Cost per ream = $49 / 10
Cost per ream = $4.90

Therefore, the cost for 1 ream of paper is $4.90.

At wild thing zoo, you can rent a motorized cart to tour grounds for a $3 initial charge and $7 per hour. at safari zoo, you can rent the same cart for a $7 initial charge and $6 per hour. for how many hours is the total charge the same?

Answers

when setting up the equation you have the initial fee and the hourly fee. The hourly fee is what must be multiplied by the number of hours which is our unknown

Factorise this
72-6x

Answers

6(12-x)

This is The Answer
:)
To go off of what Perseus said, the answer is
6(12-x)
because both 72 & -6x are divisible by 6, which is the greatest common factor of both terms.

5. If p || q, which pair of angles must be congruent?

1 and 8

2 and 5

4 and 6

7 and 8

Answers

Answer:

1 and 8.

Step-by-step explanation:

Two angles will be congruent if both measure the same. Then, as p is parallel to q we have that the alternate external angles (pair of angles out of the parallel lines, one on the right of the transversal line and the other on the left of the transversal line) has the same measure. In this case, 1 and 8 are alternate external angles.

the number of roses was 15 greater than twice the number of prunes. if the roses and prunes totaled 255, how many roses were there?

Answers

x=number of roses
y=number of prunes
we can suggest this system of equations:
x+y=255
x=2y+15

We can solve this system of equation by substitution method.
x=2y+15

(2y+15)+y=255
3y=240
y=240/3
y=80

x=2y+15
x=2(80)+15
x=160+15
x=175

Answer: there was 175 roses and 80 prunes.

The problem is a simple algebraic equation that, when solved, shows there were 175 roses.

To solve the problem given by the student, we need to set up an equation based on the information provided. We are told that the number of roses was 15 greater than twice the number of prunes, and together they totaled 255.

Let the number of prunes be p. Then the number of roses can be represented as 2p + 15. Adding these amounts must total 255, so we can write the following equation:

2p + 15 + p = 255

Combining like terms:

3p + 15 = 255

Subtracting 15 from both sides of the equation:

3p = 240

Dividing both sides by 3:

p = 80

Now that we have the number of prunes, we can find out the number of roses:

Roses = 2p + 15 = 2(80) + 15 = 160 + 15 = 175

Therefore, the student had 175 roses.

Two rooms in a house are similar rectangles. Room A is 12 ft by 16 ft. The longer side of Room B is 4 ft shorter than twice the length of the shorter side of Room A. What are the dimensions of Room B?

Answers

20 feet by 16 feet
2(12)=24-4= 20 feet
The longer side of room B would be 2(12)-4 or 20. Then you would need to set up a proportion to find the shorter side of room B. (12/16)=(x/20) Cross multiply and you get 15. Room A is 12 x 16 and room B is 15 x 20

Yolanda is finding 23,567-12,458. She added 2 to 12,458 before subtracting. Then she added it in again after she subtracted. Is her method correct? Explain.

Answers

This is what the problem is saying:
IS 23,567-(12,458+2) +2  equivalent to 23,567-12,458
If we check the first part, we get
23,567-(12,458+2) +2
=23,567-(12,460)+2
=11109
However, if we try the straightforward subtraction
23,567-12,458
=11109
This shows that her method is correct, even though it is a bit long.

In addition to this, if you've learned it, distributive property shows that we can change 23,567-(12,458+2) +2 into 23,567- 12,458 - 2 +2. Then, we can easily cancel out the -2 and +2 to get the regular subtraction expression 23,567-12,458
Final answer:

Yolanda's method is incorrect because she should have subtracted the 2 she added before subtracting, not added it. Adding it before and after the subtraction alters the original values and results in an inaccurate subtraction.

Explanation:

No, Yolanda's method is not correct. If you add a value to a number before subtracting, you have to subtract that same value after the subtraction, not add it again. This is because the addition of 2 alters the original value of 12,458, making it 12,460, and thus changes the result of the subtraction. However, by adding 2 again after subtracting, Yolanda incorrectly compensates for the initial addition. The correct approach would have been to subtract 2 after the subtraction, returning 12,458 to its original value and ensuring the accuracy of the subtraction.

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A^2 + 4^2 = 5^2

A = __

Answers

3 is the correct answer

The triangles are similar. Find the value of a. Picture shown below.

Answers

Should be c. 10 since 16 divided by 2 is 8 then if you divide 20 by 2 you get 10

A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential growth. ...?

Answers

The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
[tex]120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\ [/tex]
Logarithm both sides of the equation:
[tex]ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083[/tex]

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
[tex]A = 120 000 000 * e ^{0.0083*17} \\ A = 120 000 000 * e^{0.1411} \\ A = 120 000 000 * 1.15 \\ A = 138 000 000 [/tex]
Thus, the population will be 138 million in 2014

How do I factorise 5a2 + 6ab

2 is squared

Answers

a(5a + 6b).
Because a is the thing both terms have in common, and the numbers inside the brackets are the terms you need to multiply by a to get 5a2 and 6ab.
Hope this helps!
a(5a+6b) I think that's it. Take out any common factors (in this case a) and that goes outside the brackets when it can't be factorised into two or more brackets. Everything that goes in the brackets has been divided by the common factor. I don't know if what I'm saying makes sense, I'm new to this. Sorry.

The product of (1/2 3/4i) and(1/2-3/4i) divided by (2-3i)

Answers

1/4-3/4
-----------
2-3i

-1/2
-------
2-3i


And that's simplified, assuming the blank was meant to be a +

Put these numbers in order from least to greatest.
-15-26/40, -15, 18/25, 15.85

Answers

-15 26/40=-15.65
-15
18/25=0.72
15.85
so From least to greatest
 -15.65, -15, 0.72, and 15.85



Translate the algebraic expression 3x+5 into a word phrase

Answers

3x+5 into a word phrase is: 5 more than 3 times a number x
Im sorry but the answer given first is not correct, the correct answer is three times a number  increased by 5. I hope this helps greatly

PLZZZ HELP ME!!
Edward’s recipe for salad uses a ratio of 2 1/4 cups of lettuce to 1/2 lb of tomatoes.
(a) Use a complex fraction to compare the amount of lettuce to the amount of tomatoes.
(b) Determine how many cups of lettuce Edward needs to mix with 1 lb of tomatoes. Show your work.

Answers

a.
(9/4)/(1/2)
b.
For one pound of tomatoes we would end up doubling the recipe.
The equation would look like this 
2((9/4)/(1/2)
You would distribute and get
(18/4)/(2/2)
which when simplified once is
(9/2)/(1)
but once simplified even more you get your answer.
4.5 cups of lettuce for 1 cup of tomatoes

Answer:

4.5 cups of lettuce for 1 cup of tomatoes

Step-by-step explanation:

16,000 rolls of paper were purchased and 12,500 were sold at $1.79, what is the total ending inventory?

Answers

12,500 x 1.79 to find the price but 16,000 - 12,500 to get how many were left. 
12,500 x 1.79 = $22,375 that they made from selling. 16,000 - 12,500 = 3,500 rolls left in the inventory. This question confused me so I just gave both answers.
12500*1.79=22,375 16000*1.79=28,640 Total ending inventory=28640−22,375 =6,265

how do you solve (x3 + 6x2 + 3x + 1 ) ÷ (x - 2)

Answers

We conduct long division, cancelling each term in x³ + 6x² + 3x + 1. As so:

x²(x -2) = x³ - 2x²
Subtracting from the original equation, we get:
8x² + 3x + 1

8x(x - 2) = 8x² - 16x
Subtracting from the new equation, we get:
21x + 1

21(x - 2) = 21x - 42
Subtracting from the new equation, we get:
43

The answer is x² + 8x + 21 with a remainder of 43.

solve 7n 6 4n-2=2n 2(4n 6)

Answers

more information is required to answer the question correctly.

what is the angular velocity of a 6-foot pendulum that takes 3 seconds to complete an arc of 14.13 feet?

Answers

First find the central angle A in degree. Perimeter circle 2Pi*R --> 360 deg Arc A = 14.13 --> x deg (360*14.13)/2Pi*R = 5086.8/37.68 = 135 deg The pendulum rotates 135 deg in 3 sec. Then, the angular velocity is : 135/3 = 45 deg/sec i think

A function f satisfies the following conditions: f(5)=20, f'(5)=2, and f"(x)<0, for x>=5. Which of the following are possible values for f(7)? possible choices are 28, 20, 26, 24, 22

Answers

Final answer:

Given the function's conditions, the value of f(7) must be less than or equal to 24 due to the concave-down nature indicated by the negative second derivative, making 20, 22, or 24 possible values for f(7).

Explanation:

The student asked about determining possible values for a function f(x) given a set of conditions: f(5)=20, f'(5)=2, and f"(x)<0 for x>=5. The negative second derivative indicates that the function is concave down for x>=5, meaning the rate of increase of f(x) is decreasing. Starting at x=5 with a value of 20 and a slope of 2, we can deduce that after moving 2 units to x=7, the value of f(7) cannot be greater than what it would be if f(x) were linear, since f"(x)<0 implies the function's rate of growth is decreasing. Therefore, f(7) must be less than or equal to 20 + 2*(7-5), which is 24.

Since the rate of increase is decreasing and the function cannot increase at a rate faster than the initial slope of 2, the possible values for f(7) among the given choices must be less than or equal to 24. Thus, the possible values for f(7) could be 20, 22, or 24.

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The value of f(7) is 24.

Given the function f with conditions f(5)=20, f'(5)=2, and f''(x)<0 for x ≥ 5, we need to find possible values for f(7) from the choices given: 28, 20, 26, 24, and 22.

Here is a step-by-step solution:

f(5)=20 indicates that at x=5, the value of the function is 20.f'(5)=2 tells us that the slope or the derivative at x=5 is 2, which implies the function is increasing at this point.f''(x)<0 for x ≥ 5 indicates that the function is concave down, meaning its slope is decreasing as x increases.

Since the function is concave down, the rate of increase of the function will decrease as x moves from 5 to 7:

f(x) initially increases from 5 to 7 with a slope of 2, so f(7) cannot be lower than f(5): 7 − 5 = 2 * 2 = 4, thus the function increases by at most 4 from 5 to 7.So the maximum possible value considering the concavity is 20 + 4 = 24.

Therefore, among the choices 28, 20, 26, 24, and 22, the possible value for f(7) given the conditions is 24.

-8 ( 3-s) = 32 what is s

Answers

-8(3 - s) = 32
So you expand the brackets
-24 + 8s = 32
And then solve
+ 24
8s = 56
÷ 8
s = 7
Hope this helps!

A SOCCER TEAM IS LIKELY TO SCORE A GOAL AT ANY TIME DURING A GAME . WHAT IS THE PROBABILITY IT SCORES DURING THE FIRST HALF ?

Answers

50% is the most reasonable answer

Half. 

If a soccer team is going to score a goal with a probability of p, then p/2 will give the probability of scoring in the first half. 

This is simple enough to prove, since scoring in the first half and scoring in the second half are totally independent of each other, and equally likely.

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!

A snake is slithering toward you at 1.5 m/s. If you start walking when it is 5.0 m away, how fast must you go in order that the snake not overtake you when you have gone 40.0 m?

Answers

First, since the snake is travelling at a constant velocity, find out how long it takes the snake to go 45m (you have a 5m head start). 45m1.5m/s=30s Now you just need to go your 40 meters in that amount of time: Xf−Xi=1/2(Vi+Vf)t 40m−0m=1/2(0+Vf)(30s)40m∗230s=Vf=223m/s Since you're starting from rest, your average speed must be half of that which is 113m/s So at 40m, you and the snake will be at the same point however you will be going 223m/s at that point so the snake cannot overtake you. Looking back at the question, I believe it wants to know what your average speed needs to be...which is:>113m/s
45/1.5 = 40/x
45x = 60
x = 60/45 = 1.33

Therefore, you must walk as fast as 1.33 m/s for the snake not to overtake you before you have gone 40m.

If f(x) = x3 – 2x2, which expression is equivalent to f(i)?
–2 + i

–2 – i

2 + i

2 – I

Answers

Answer:

It's D

2-i

Step-by-step explanation:

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