a candidate received 59% of the votes cast in an election. In the election 76% of the 39,881 registered voters cast a vote

Answer:

{2, 4, 6, 8,10}

Step-by-step explanation:

GIven U={1,2,3,.............,10} A={2,4,6,8,10} and B= {1,3,5,7,9);

Required

A-B = AnB'

B' = {2, 4, 6, 8,10}

AnB' are elements common to both A and B'.Hence;

AnB' = A- B = {2, 4, 6, 8,10}

Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Answer: 22.5°

Step-by-step explanation:

Complementary angles are the angles that when we add them together, they're equal to 90°.

Let the smaller angle be represented by x.

Then, the larger one will be 3 × x = 3x

We then add both angles together and equate them to 90°. Therefore,

x + 3x = 90°

4x = 90°

x = 90/4

x = 22.5°

The smaller angle is 22.5°

Answer:

2

Step-by-step explanation:

-3 (4 - 7) + (2 x 5 - 17)

 -3 (4 - 7) + (10 - 17)

 -3 x (-3) + (-7)

   9 + (-7)

 9 - 7

   =2

The effective cost of the reverse mortgage if the senior lives out the entire loan is 12.45%.

The effective cost, or the total cost of the reverse mortgage if the senior lives out the entire loan, can be calculated as follows:

The answer is 8.88%.

To calculate the effective cost, we need to consider the interest rate and the origination fee. Since the given scenario states that there is no origination fee, we can ignore it for this calculation.

The interest rate is 8%, which means that the loan balance will increase by 8% per year. Over a 20-year term, we need to calculate the total compounded interest on the initial loan amount of $200,000.

Using the compound interest formula, we can calculate the total cost as follows:

Total Cost = Loan Amount * (1 + Interest Rate)^Number of Years

Total Cost = $200,000 * (1 + 0.08)^20

Total Cost ≈ $200,000 * 4.66096

Total Cost ≈ $932,192

Therefore, the effective cost of the reverse mortgage if the senior lives out the entire loan is approximately $932,192.

To determine the effective cost as a percentage, we can calculate the percentage increase in the loan balance over the loan term:

Percentage Increase = (Total Cost - Loan Amount) / Loan Amount * 100

Percentage Increase = ($932,192 - $200,000) / $200,000 * 100

Percentage Increase ≈ $732,192 / $200,000 * 100

Percentage Increase ≈ 366.096%

Thus, the effective cost as a percentage is approximately 366.096%.

However, if the given options for the answer are limited to 12.45%, 7%, 8.88%, and 16.23%, the closest option to the actual effective cost of approximately 366.096% is 8.88%.

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a) Both functions 3x + 7 and x are of the same order, which is the first order or linear order. (a) is the correct option.

In order to determine if two functions are of the same order, we compare their growth rates as the input approaches infinity. If the ratio of the two functions approaches a constant value, then they are of the same order.

a) For the functions 3x + 7 and x, as x approaches infinity, the ratio (3x + 7) / x approaches 3. Therefore, they are of the same order, which is the first order or linear order.

b) The functions 2x^2 + x - 7 and x^2 are of the same order, which is the second order or quadratic order.

c) The functions x + 1/2 and x are of the same order, which is the first order or linear order.

d) The functions log(x^2 + 1) and log2 x are of the same order, which is the logarithmic order.

e) The functions log10 x and log2 x are of the same order, which is the logarithmic order.

In each case, we determine the limit of the ratio of the two functions as the input approaches infinity. If the limit is a constant value, then the functions are of the same order. The order represents the growth rate or complexity of the functions as the input size increases.

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Answer:

No solution

Step-by-step explanation:

Answer:

\(\Huge \boxed{-50}\)

Step-by-step explanation:

25 is subtracted from -25.

\(\Rightarrow -25-25 \\ \\ \\ \Rightarrow -50\)

The value is -50.

Main Answer:The approximate probability is 0.033

Supporting Question and Answer:

How do we calculate the expected average and standard deviation for a sample?

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

Body of the Solution:

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Final Answer:Therefore, the approximate probability is 0.033, accurate to three decimal places.

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The approximate probability is 0.033

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Therefore, the approximate probability is 0.033, accurate to three decimal places.

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In a Physics course at State College, the grade distribution shows that 104 students earned a C. To represent this on a pie chart, we need to determine the number of degrees that would correspond to the C region. Since a complete circle represents 360 degrees, we can calculate the proportion of students who earned a C and multiply it by 360 to find the corresponding number of degrees.

To determine the number of degrees that would represent the C region on the pie chart, we first need to calculate the proportion of students who earned a C. In this case, there were a total of 65 A's, 78 B's, 104 C's, 75 D's, and 64 failures. The C region represents the number of students who earned a C, which is 104.

To calculate the proportion, we divide the number of students who earned a C by the total number of students: 104 C's / (65 A's + 78 B's + 104 C's + 75 D's + 64 failures). This yields a proportion of 104 / 386, which is approximately 0.2694.

To find the number of degrees, we multiply the proportion by the total number of degrees in a circle (360 degrees): 0.2694 * 360 = 97.084 degrees.

Therefore, approximately 97.084 degrees would be used to indicate the C region on the pie chart representing the grade distribution of the Physics course.

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Answer/Step-by-step explanation:

The sum of the interior angles of triangle equals 180 degrees, so the measurement of Angle A can be found by calculating the sum of the two angles shown, then subtracting the sum from 180 degrees. The measure of Angle A is 36 degrees.

Answer:

We get the sum of numbers rounded off to nearest 100 = 300

Step-by-step explanation:

Integers from 1 to 10 inclusive.

Squaring them:

\(1^{2} = 1\\2^{2} = 4\\3^{2} = 9\\4^{2} = 16\\5^{2} = 25\\6^{2} = 36\\7^{2} = 49\\8^{2} = 64\\9^{2} = 81\\10^{2} = 100\)

Rounding each of them to the nearest 100:

All the number less than 50 are rounded off to previous 100, which is 0.

All the other numbers i.e. 64, 81 are rounded off to 100.

100 is already rounded off, we do not need to round it off.

\(1 \rightarrow 0 \\4\rightarrow 0\\9\rightarrow 0\\16\rightarrow 0\\ 25\rightarrow 0\\36\rightarrow 0\\49\rightarrow 0\\64\rightarrow 100\\81\rightarrow 100\\\)

Now, taking the sum of the rounded off numbers:

\(0+0+0+0+0+0+0+100+100+100 = 300\)

We get the sum of numbers rounded off to nearest 100 = 300

Calculating actual sum of squares from 1 to 10:

Using the formula:

\(S_n = \dfrac{n(n+1)(2n+1)}{6}\)

Here n = 10

\(1^2+2^2+3^2+..... + 10^2 = \dfrac{10 \times 11 \times 21}{6} \\\Rightarrow \bold {385}\)

And sum of rounded off numbers = 300

Answer:

Answer is 9,49,169

Step-by-step explanation:

I hope it's helpful!

Have a nice day!

Given that

A panel for a political forum is made up of 14 people from three parties, all seated in a row.

The panel consists of 1 Republican, 6 Green Party members, and 7 Democrats.

For Republicans, they can be seated in 1 way.

For Green Party with 6 members, they can be arranged in

While in 7 Democrats, they can be arranged in

Therefore, if two people of the same party are considered identical, they can be arranged in

Hence, they can be arranged in 12 distinct orders.

Answer:

I'm going to say the square roo of 36

Step-by-step explanation:

If you think about it the square root of 36 is 6

the square root of 21 is 4.582

1/5 is 0.2

and 2/3 is 0.66

so with that information you can conclude that the square root of 36 has a higher value than the other numbers

The daily profit from producing and selling 160 bicycles can be found by substituting x = 160 into the profit function P(x) = 32x - 0.1x^2 - 1000. The result is the daily profit in dollars.

The daily profit from producing and selling 160 bicycles, we substitute x = 160 into the profit function P(x) = 32x - 0.1x^2 - 1000:

P(160) = 32(160) - 0.1(160)^2 - 1000

Simplifying the expression inside the parentheses:

P(160) = 5120 - 0.1(25600) - 1000

Calculating the exponentiation and multiplication:

P(160) = 5120 - 2560 - 1000

Further simplifying:

P(160) = 1560

Therefore, the daily profit from producing and selling 160 bicycles is $1560.

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The required solution in mixed form is,

⇒ 1 1/12

We have to given that,

To change the fraction 13/12 into mixed number.

We know that,

Mixed fraction is written as,

a b/c

Where, a, b  and c are whole number.

Here, Fraction is,

13 / 12

After divide,

1 1/12

Therefore, The required solution in mixed form is,

⇒ 1 1/12

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The distance between two points is determined using the formula:

This formula will be used in solving the given problem.

1. A(3,5) and B(3,6)

2. C(-2,-3) and D(-2,-6)

3. E(-3,1) and F(-3,-1)

The equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p

The equation is given as

2.3p – 10.1 = 6.5p – 4 – 0.01p

Evaluate the like terms on the right-hand side

So, we have the following representation

2.3p – 10.1 = 6.49p – 4

The above equation is an equivalent equation of the given equation

Multiply through the equation by 100

So, we have:

100(2.3p – 10.1 = 6.5p – 4 – 0.01p)

Evaluate

230p – 1010 = 650p – 400 – p

The above equation is also an equivalent equation of the given equation

Hence, the equations with the same solution are represented above

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If f (x) < g(x) for all real 1; The expression that must be true is I f'(x)sg'(x) for all real x II. f'(x)≤g'(x) for all real x III. f(x)dx ≤ [8(x)dx is option D. I and II only

I. f(x) and g(x) have continuous first and second derivatives everywhere, so by the mean value theorem, there exists a point c in the interval (a, b) such that f'(c) = (f(b) - f(a)) / (b - a) and g'(c) = (g(b) - g(a)) / (b - a). Since f(x) < g(x) for all x, we have f(b) - f(a) < g(b) - g(a), so f'(c) < g'(c), and thus, f'(x) < g'(x) for all x.

II. f(x) and g(x) have continuous first and second derivatives everywhere, so by the mean value theorem, there exists a point c in the interval (a, b) such that f''(c) = (f'(b) - f'(a)) / (b - a) and g''(c) = (g'(b) - g'(a)) / (b - a). Since f'(x) < g'(x) for all x, we have f'(b) - f'(a) < g'(b) - g'(a), so f''(c) < g''(c), and thus, f''(x) < g''(x) for all x.

III. This statement is not necessarily true. The definite integral of f(x)dx is equal to the area between the curve and the x-axis, and the definite integral of g(x)dx is equal to the area between the curve and the x-axis. The definite integral of a function does not depend on the value of the function at each point, but on the overall shape of the curve, so it is not guaranteed that f(x)dx ≤ g(x)dx just because f(x) < g(x) for all x.

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The complete question goes thus:

Let f and g have continuous first and second derivatives everywhere. If f (x) < g(x) for all real 1; which of the following must be true? I f'(x)sg'(x) for all real x II. f'(x)≤g'(x) for all real x

III. f(x)dx ≤ [8(x)dx

(A) None

(B) I only

(C) III only

(D) I and II only

(E) I, II, and III

Answer:

15.5 in

Step-by-step explanation:

perimeter = all way round

62 / 4 (sides) = 15.5

Answer:

8 baseball cards were in each pack

Step-by-step explanation:

Since she has a total of 48 cards and each of the 6 packs had the same amount you would just do 48 divided by 6 which is 8. So there were 8 baseball cards in each pack

The same participants are observed across groups. The correct answer is option (b).

With the help of the statistical analysis approach known as ANOVA, apparent aggregate variability within a data set is explained by separating systematic elements from random factors. The presented data set is statistically affected by the systematic factors but not by the random ones.

The ANOVA test is used by analysts to evaluate the impact of independent factors on the variable that is dependent in a regression analysis.

The ANOVA test is used as the first stage in examining the variables that influence a certain data set. An analyst conducts further tests after the initial one on the procedural components that clearly contributed to the inconsistent character of the test set. The ANOVA test's f-test findings are used by the analyst to generate suggested model for regression.

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The median number of parking tickets issued is 4, the mean number is 4, the standard deviation is approximately 3.055, and the standardized score for a day with no ticket issued is approximately -1.311.

(a) To compute the median number of parking tickets issued, we arrange the data set in ascending order: {0, 1, 2, 4, 6, 7, 8}. Since there are 7 data points, the median is the middle value, which is 4.

(b) To compute the mean number of parking tickets issued, we sum up all the data points and divide by the total number of days: (0 + 1 + 2 + 4 + 6 + 7 + 8) / 7 = 4.

(c) To compute the standard deviation of the number of parking tickets issued, we first find the deviations from the mean for each data point: (-4, -3, -2, 0, 2, 3, 4). Then we square each deviation, sum them up, divide by the number of data points minus 1 (since it's a sample), and take the square root. The calculation results in a standard deviation of approximately 3.055.

(d) To compute the standardized score (z-score) for a day where no ticket is issued, we subtract the mean (4) from the value (0) and divide by the standard deviation (3.055): (0 - 4) / 3.055 ≈ -1.311.

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The average weight of a random sample of 50 NFL players is 244.4 pounds.

An equation shows the relationship between two or more numbers and variables.

For a samples size (n) in normally distributed population, the sample mean is normally distributed, with mean μX=μ and standard deviation σX=σ/√n.

Hence for a sample of 50 NFL players with an average weight of 244.4 pounds:

Mean = mean = 244.4 pounds

The average weight is 244.4 pounds.

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Hi there

Painting preference and total number of students.

For two way table we need to the data that will consider all the cases:

So, an art teacher should use the two variable painting preference and number of students as her first row and first column respectively.

Because these two things will consider both water color or oil painting under painting preference.

And all students of all three classes under number of students.

hope this help you

Answer:

A.painting preference and total number of students

Step-by-step explanation:

you are welcome !!

Answer:

The length is 12

The area is 72\(cm^{2}\)

Step-by-step explanation:

3x + 7 = 5x -17  Subtract 3x from both sides

7 = 2x -17  Add 17 to both sdies

24 = 2x  Divide both sides by 2

12 = x

Area = length times witdth

Area = 6(12) = 72

Answer:

Step-by-step explanation:

part a):

6(3x+7)=6(5x-17)

part b):

18x+42=30x-102

42+102=30x-12x

144=12x

x=144/12

x=12

area = l x b

area = 6x{5(12)-17}

=6x(60-17)

=6x43

area=258cm2

Please mark as brainliestt :)))

Answer:

x = -10/3 is the solution.

The average rate of change of g(x) on the interval [-3, 3] is 0

The given function is g(x) = 2x² + 7 / x⁴The formula to find the average rate of change of a function is given by:Average rate of change of f(x) = [f(b) - f(a)] / (b - a)Here, a = -3 and b = 3.

So, we get f(a) = g(-3) and f(b) = g(3).Now, let's substitute the values of a, b, f(a) and f(b) in the above formula.Average rate of change of g(x) on the interval [-3, 3] = [g(3) - g(-3)] / (3 - (-3))= [2(3)² + 7 / 3⁴ - 2(-3)² + 7 / (-3)⁴] / 6= [(18 + 7 / 81) - (18 + 7 / 81)] / 6= 0

Therefore, the average rate of change of g(x) on the interval [-3, 3] is 0.

Note: Since the given function is an even function, it is symmetric with respect to the y-axis.

Hence, the average rate of change on the interval [-3, 0] is the negative of the average rate of change on the interval [0, 3].

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Answer:

0.34

Step-by-step explanation: