WILL GIVE BRILLIANTIEST!
A small town voted to decide if a road should be expanded from two lanes to four lanes. The two-way table below shows the
results of the vote.
Favor
Oppose
Neutral
Total
33
12
46
91
45
15
36
96
Age
18-25
Age
26-40
Age
40+
Total
10
29
24
63
88
56
106
250
Which correlation does the two-way table suggest?
A Voters age 40 and over are least likely to favor road expansion.
B. The majority of the voters are most likely to favor road expansion
c. Voters between the ages of 26 and 40 are most likely to oppose road expansion
D.
Voters between the ages of 18 and 25 are least likely to favor road expansion

Answer:

B

Step-by-step explanation:

mean = average. to find it, add all terms, and then divide by the number of terms.

find the mean of group a:

(1+1.5+3+3.2+2.8+1.5+1.8+2.5+2.2)/9 = 2.16

find the mean of group b:

(2+2.5+3.2+3+1.8+2.4+3+1.5+1/8)/9 = 2.1694

group b is larger.

answer = b

Step-by-step explanation:

(Ryan+ castel)/2

(5+6)/2

11/2

5.5 hrs or 5½ hrs

The total value of the savings account in 2021 is $1084.20. Option C.

To calculate the total value of the savings account in 2021, we need to consider the initial deposit, the interest rate, and the compounding frequency. In this case, the savings account was opened in 2013 with $850, and it has earned 3.25% interest per year, with interest calculated monthly.

First, let's calculate the interest rate per month. Since the annual interest rate is 3.25%, the monthly interest rate can be calculated by dividing it by 12 (the number of months in a year):

Monthly interest rate = 3.25% / 12 = 0.2708% (rounded to four decimal places)

Next, we need to determine the number of months between 2013 and 2021. There are 8 years between 2013 and 2021, so the number of months is:

Number of months = 8 years * 12 months = 96 months

Now, we can calculate the total value of the savings account in 2021 using the compound interest formula:

Total value = Principal * (1 + Monthly interest rate)^Number of months

Total value = $850 * (1 + 0.002708)^9

Calculating this expression gives us:

Total value = $850 * (1.002708)^96 = $1084.20 (rounded to two decimal places)

Therefore, the correct answer is option C.

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Answer:

Let's assume that the original price of petrol is x per liter.

After the increase of R1 per liter, the new price of petrol is (x+1) per liter.

According to the problem, with the new price, you can buy 7 liters less for R504, so we can write:

7(x+1) = 504

Simplifying this equation, we get:

7x + 7 = 504

Subtracting 7 from both sides, we get:

7x = 497

Dividing both sides by 7, we get:

x = 71

Therefore, the original price of petrol was Rx71 per liter.

\(\sf \: {x}^{2} + 4xy - 21 {y}^{2} \)

\(\sf \: Rewrite \: the \: equation⟹( {x}^{2} - 3xy) + (7xy - 21y {}^{2} )\)

\(\sf \: 1)( {x}^{2} - 3xy) = x(x - 3y)\)

\(\sf2) \: (7xy - 21 {y}^{2} ) = 7y(x - 3y)\)

\(\sf \: Now \: the \: equation \: becomes \: ⟹ \\ \sf \: x(x - 3y) + 7y(x - 3y)\)

\(\sf \: Factor \: out \: the \: common \: term \: (x - 3y) \\ \sf =( x - 3y) + (x + 7y) \\ \)

Answer ⟶ \(\boxed{\sf {B) (x-3y)(x+7y)}}\)

If the order of the numbers does not matter, then we are dealing with combinations, not permutations. There are 2,300 different lottery tickets possible if the numbers 1-25 are options and you pick 3 numbers, assuming the order does not matter.

The number of combinations of n things taken r at a time is given by the equation:

nCr = n! / (r!(n-r)!)

where n! (n factorial) is the item of all positive integrability from 1 to n.

25C3 = 25! / (3!(25-3)!)

= (25 x 24 x 23) / (3 x 2 x 1)

= 2,300

Subsequently, there are 2,300 distinctive lottery tickets conceivable in case the numbers 1-25 are alternatives and you choose 3 numbers, expecting the arrangement does not matter. 

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Answer:

y=-5x-2

Hope it helps

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

The mean of the numbers in Table 8.10 is 5.2.The median of the numbers in Table 8.10 is 5.The mode of the numbers in Table 8.10 is 5

The measures of central tendency are statistical tools used to find the “center” or average of a given set of data. The three main measures of central tendency: mean, median and mode.

The mean is known as the average of a set of numbers. To calculate the mean of the numbers given in Table 8.10, add up all of the numbers (2 + 3 + 1 + 5 + 9 + 4 + 5 + 6 + 8 + 7 + 11) and divide by the total number of rolls (50). The mean of the numbers in Table 8.10 is 5.2.

The median is considered as the middle number of a set of numbers arranged in numerical order. To find the median of the numbers in Table 8.10, first arrange the numbers in numerical order (1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 11) and then find the middle number. The median of the numbers in Table 8.10 is 5.

The mode is considered as the number that appears the most often in a set of numbers. The mode of the numbers in Table 8.10 is 5, since it appears twice, while the other numbers appear only once.

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Answer:

The size in inches for the scaled copy of the Mona Lisa on the notebook cover is 11 inches by 7.7 inches

Step-by-step explanation:

The given parameters are;

The real life measurement of the Mona Lisa = 2 1/2 feet by 1 3/4 feet

The size of the notebooks made by the company = 11 inches by 9 inches

The ratio of the real life dimension is 2 1/2 to 1 3/4 which is 10 to 7

The ratio of the notebook dimension is 11 to 9,

The expected ration for the notebook = 11/x = 10/7, which gives x = 7.7

The area of the figure becomes 11 × 7.7 = 84.7

Similarly, we have x/9 = 10/7, which gives x = 90/7 = 12 6/7 > 11

Therefore, the maximum possible size in inches for the scaled copy of the Mona Lisa on the notebook cover so that the picture is as big as it can possibly be, but still fit on the paper is 11 inches by 7.7 inches.

Answer:

25%

Step-by-step explanation:

ratio is 3B : 1G  (this means, out of 4 sections, 3 are boys and 1 are girls)

this means that 3/4 of class is boys and 1/4 are girls

1/4 equals 25%

Answer:

20/27

Step-by-step explanation:

Answer: b. Miles and hours

Step-by-step explanation:

If a rate were to be used to describe the speed that the car was going at, it would be MPH (miles per hour) which is a British and American unit used to describe the speed at which something is going. The car for instance is travelling at a speed of 50 MPH.

This composite unit is made up of 2 other units which are miles and hours.

Answer:

see explanation

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) = \(\sqrt{ab}\) , then

\(\sqrt{72}\)

= \(\sqrt{36(2)}\)

= \(\sqrt{36}\) × \(\sqrt{2}\)

= 6\(\sqrt{2}\)

\(\sqrt{77}\) is in simplest form, and cannot be simplified further

The probability of drawing a yellow card or a blue card is 9/25.

The probability of drawing a yellow card or a blue card can be calculated using the principle of addition. To find the probability of an event occurring, we add the individual probabilities of each event and subtract the probability of both events occurring together.
In this case, we want to find the probability of drawing a yellow card or a blue card.
Step 1: Calculate the probability of drawing a yellow card:
There are a total of 30 cards in the deck, and 6 of them are yellow. So, the probability of drawing a yellow card is 6/30 or 1/5.
Step 2: Calculate the probability of drawing a blue card:
There are 6 blue cards in the deck. So, the probability of drawing a blue card is 6/30 or 1/5.
Step 3: Calculate the probability of drawing both a yellow card and a blue card:
Since the cards are replaced in the deck after each draw, the probability of drawing a yellow card and a blue card together is the product of their individual probabilities:
(1/5) * (1/5) = 1/25
Step 4: Calculate the probability of drawing a yellow card or a blue card:
To find the probability of drawing a yellow card or a blue card, we add the individual probabilities of each event and subtract the probability of both events occurring together:
(1/5) + (1/5) - (1/25) = 5/25 + 5/25 - 1/25 = 9/25
Therefore, the probability of drawing a yellow card or a blue card is 9/25.

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Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:

2.27

Step-by-step explanation:

The slope of the secant line through the points (1, f(1)) and (4, f(4)) is (√2 + 3)/3.

The equation of the curve is y = √(x + x).

To find f(1), we can substitute x = 1 into the equation:

f(1) = √(1+1) + 1 = √2 + 1

To find f(4), we can substitute x = 4 into the equation:

f(4) = √(4+4) + 4 = √8 + 4 = 2√2 + 4

Therefore, the two points are (1, √2 + 1) and (4, 2√2 + 4).

The slope of the secant line passing through these two points is given by:

slope = (change in y)/(change in x)

= (2√2 + 4 - √2 - 1)/(4 - 1)

= (√2 + 3)/3

Therefore, the slope of the secant line through the points (1, f(1)) and (4, f(4)) is (√2 + 3)/3.

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The total number of pots will be 1¹/₄.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that at lunchtime, a cafeteria served a total of 3/8 of a pot of chicken soup and 7/8 of a pot of onion soup.

The total number of pots will be calculated as:-

E = 3/8 + 7/8

E = 10 / 8

E = 5 / 4

E = 1¹/₄

Hence, the total number of pots will be 1¹/₄.

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Answer:

10x + 21

Step-by-step explanation:

14x and -4x are like-terms, so they can be combined

Answer: 10x + 21

Step-by-step explanation:

14x - 4x + 21

(14 - 4) x + 21

10x + 21

Answer:

33

Step-by-step explanation:

Let the number be x,

=> (x - 16) -2 = - 34

=> -2x + 32 = -34

=> -2x = - 34 - 32 (by transposing)

=> -2x = -66

=> x = -66/-2 = 33

Peter's number is 33.

Hope you understood.

Expression A is 4 times as great as expression B.

Sure hope this helps you and pls mark me brainiest

Answer: The answer is A.addition property of equality

Hope I helped

Pkease mark me as brainliest!

The required formula to calculate exterior angle and an interior angle are  360°/n and (n-2) * 180°/n.

In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words poly (which meaning numerous) and gon (means sides). To create a closed figure, a minimum of three line segments must be connected end to end.

The measure of an exterior angle of a regular polygon with n sides is given by 360°/n. The measure of an interior angle of a regular polygon with n sides is given by (n-2) * 180°/n.

So if you provide the number of sides of the polygon, I can give you the measures of the exterior and interior angles rounded to the nearest tenth if necessary.

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The volume of the solid is 1.5 cubic units. From the solid in the first octant under the plane z = x + y, above the surface z = xy, and enclosed by the surfaces x = 0, y = 0, and x2 + y2 = 4

To find the volume of the solid by subtracting two volumes, we need to find the limits of integration for x, y, and z.

From the given information, we know that the solid is in the first octant and is enclosed by the surfaces x = 0, y = 0, and x2 + y2 = 4. Thus, the limits of integration for x and y are 0 to 2 since the radius of the circle x2 + y2 = 4 is 2.

Next, we need to find the limits of integration for z. To do this, we need to set the two given equations equal to each other:

xy = x + y

xy - x - y = 0

Using partial fraction decomposition:

xy - x - y = (x - 1)(y - 1) - 1

So, we have:

(x - 1)(y - 1) = z - 1

Thus, the limits of integration for z are 1 to 3.

Now, we can set up the integral to find the volume:

V = ∫∫∫ dV

V = ∫0^2 ∫0^(2 - x) ∫1^(x + y) dz dy dx

Evaluating this integral, we get the volume of the solid as 1.5 cubic units.

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Numerical values of,

Million: 1,000,000

Billion: 1,000,000,000

Trillion: 1,000,000,000,000

Quadrillion: 1,000,000,000,000,000

Zillion and Gazillion: These are informal and exaggerated terms that do not have specific numerical values

Million: A million is a number equal to 1,000,000 (one followed by six zeros). It is often used to express large quantities of things, such as the population of a city or the number of dollars in a large fortune.

Billion: A billion is a number equal to 1,000,000,000 (one followed by nine zeros). It is a larger quantity than a million and is often used in economic contexts, such as the value of a company or the national debt of a country.

Trillion: A trillion is a number equal to 1,000,000,000,000 (one followed by twelve zeros). It is an even larger quantity than a billion and is often used in scientific and astronomical contexts, such as the distance between stars or the number of cells in the human body.

Quadrillion: A quadrillion is a number equal to 1,000,000,000,000,000 (one followed by fifteen zeros). It is an extremely large quantity and is rarely used in everyday contexts.

Zillion and Gazillion: These are informal and exaggerated terms that do not have specific numerical values. They are often used to express an extremely large or unknown quantity in a humorous or hyperbolic way.

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The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.

Recall:

Given:

y = x + 5

2y - 2x = 10

The slope of y = x + 5 is 1.

Rewrite 2y - 2x = 10 in slope-intercept form to determine its slope.

2y - 2x = 10

2y = 2x + 10

y = x + 5

Thus, the slope of y = x + 5 (2y - 2x = 10) is also 1.

The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.

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The truth values for the given complex statements are:

3. False

4. False

5. False

6. True

7. False

8. Undefined

9. True

10. True

11. True

12. False

13. True

14. True

15. True

16. False

17. True

18. False

19. True

20. False

To determine the truth value of each complex statement, we'll use the given truth values:

A = True

B = True

C = True

X = False

Y = False

Z = False

Let's evaluate each statement:

3. B • Z

B = True, Z = False

Truth value = True • False = False

4. X V Y

X = False, Y = False

Truth value = False V False = False

5. ~C v Z

C = True, Z = False

Truth value = ~True v False = False v False = False

6. B - Z

B = True, Z = False

Truth value = True - False = True

7. (A v B) Z

A = True, B = True, Z = False

Truth value = (True v True) • False = True • False = False

8. ~(THIS)

"THIS" is not defined, so we cannot determine its truth value.

9. B v (Y • A)

B = True, Y = False, A = True

Truth value = True v (False • True) = True v False = True

10. A • (Z v ~Y)

A = True, Z = False, Y = False

Truth value = True • (False v ~False) = True • (False v True) = True • True = True

11. (A • Y) v (~Z • C)

A = True, Y = False, Z = False, C = True

Truth value = (True • False) v (~False • True) = False v True = True

12. (X v ~B) • (~Y v A)

X = False, B = True, Y = False, A = True

Truth value = (False v ~True) • (~False v True) = False • True = False

13. (Y • C) ~ (B • ~X)

Y = False, C = True, B = True, X = False

Truth value = (False • True) ~ (True • ~False) = False ~ True = True

14. (C • A) v (Y = Z)

C = True, A = True, Y = False, Z = False

Truth value = (True • True) v (False = False) = True v True = True

15. (A • C) (~X • B)

A = True, C = True, X = False, B = True

Truth value = (True • True) (~False • True) = True • True = True

16. (A • Y) (~Z • C)

A = True, Y = False, Z = False, C = True

Truth value = (True • False) (~False • True) = False • True = False

17. ~[(A • Z) (~C • ~X)]

A = True, Z = False, C = True, X = False

Truth value = ~(True • False) (~True • ~False) = ~False • True = True

18. [(A • Z) (~C • ~X)]

A = True, Z = False, C = True, X = False

Truth value = (True • False) (~True • ~False) = False • True = False

19. (A • Z) v (Y = Z)

A = True, Z = False, Y = False

Truth value = (True • False) v (False = False) = False v True = True

20. A • ~A

A = True

Truth value = True • ~True = True • False = False

Therefore, the truth values for the given complex statements are:

3. False

4. False

5. False

6. True

7. False

8. Undefined

9. True

10. True

11. True

12. False

13. True

14. True

15. True

16. False

17. True

18. False

19. True

20. False

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The value of x will be -4 in the given function.

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function.

There usual form is specified below. They are written in several such equivalent forms.

For example, y^x, where a is a constant is an exponential function.

WE have been given a function as

10^(3x) = 10(x-8)

This function is an exponential function.

The base of the function is same on the both sides then the power must be equal to each that's how we can solve the value for x.

thus, 3x = x - 8

3x - x = -8

2x = -8

x = -4

Therefore, the value of x will be -4 in the given function.

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