find the radius, diameter, circumference, and area of this circle. ​

To prove that the argument is valid using propositional logic, we can apply logical rules and deductions. Let's break down the argument step by step:

(A + B) ^ (C V -B) ^ (-D --> C) ^ A ^ D

We will represent the proposition as follows:

P: (A + B)

Q: (C V -B)

R: (-D --> C)

S: A

T: D

From the given premises, we can deduce the following:

P ^ Q (Conjunction Elimination)

P (Simplification)

Now, let's apply the rules of disjunction elimination:

P (S)

A + B (Simplification)

Next, let's apply the rule of disjunction introduction:

C V -B (S ^ Q)

Using disjunction elimination again, we have:

C (S ^ Q ^ R)

Finally, let's apply the rule of modus ponens:

-D (S ^ Q ^ R)

C (S ^ Q ^ R)

Since we have derived the conclusion C using valid logical rules and deductions, we can conclude that the argument is valid.

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Answer:

13) x = 62

14) x = 2.5

    y = 5.88888889

Step-by-step explanation:

x = 62 because x is the alternate interior angle of 62.

37x - 19 = 29x + 1 (subtract 29x on both sides)

8x - 19 = 1 (add 19 on both sides)

8x = 20 (divide by 8)

x = 2.5

Plug 2.5 into 29x + 1 to find 9y + 25

29(2.5) + 1 = 73.5

9y + 25 = 73.5 (subtract 25 on both sides)

9y = 48.5 (divide by 9 on both sides)

y = 5.388888889

It all checks out!

HOPE THIS HELPS!

Answer:

$560

Step-by-step explanation:

if 25% is the discount than the total of the item after the discount is .75x. So to find the original total we need the equation 420=.75x

first we need to isolate x so we divide both sides by .75, doing this will give us 560= x

to check our answer you need to multiply 560 by .75 (which I got by subtracting the discount, .25, from 1) which gives us our discounted total of $420

Answer:

ask dream how to solve that

and maybe all of that number are expensive profit

The solution to the inequality is M < -28/15.

The relation between two unequal expressions is defined as inequality.

The given inequality is M + 1/5 < -1 (2/3).

Solve the inequality as follows:

M + 1/5 < -1 (2/3)

M < -5/3 -1/5

M < (-25-3)/15

M < -28/15

Hence, the solution to the inequality is M < -28/15.

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Answer:

24/36

Step-by-step explanation:

Have a nice day..........

Answer:

Step-by-step explanation:

If there is only ONE output for each INPUT it can be a function

From top

Y   N  Y Y N Y

b) look at the second one  

      put in 30   days   out put = april jun aug nov    one input 4 outputs

          so it is not a function

Answer:

Got a pick your head up oooooooooh

The probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission if each boat has a failure rate of 1 failure per 100 hoursis 99.5%. Hence, the correct option is (A).

To determine the probability of mission success, we'll need to calculate the probability of failure for each boat and then use the binomial probability formula.

Here are the steps:

1. Calculate the probability of failure for each boat during the 20-hour mission: Since each boat has a failure rate of 1 failure per 100 hours, the probability of failure for each boat in 20 hours is 20/100 = 1/5 or 0.2.

2. Calculate the probability of success for each boat: The probability of success for each boat is 1 - probability of failure = 1 - 0.2 = 0.8.

3. Use the binomial probability formula to find the probability of at least 11 boats operating successfully:
P(X ≥ 11) = 1 - P(X ≤ 10), where X is the number of successful boats.

4. Calculate P(X ≤ 10) using the binomial probability formula:

P(X ≤ 10) = ∑[C(16, k) × (0.8)^k × (0.2)^(16-k)], where k ranges from 0 to 10, and C(16, k) is the binomial coefficient or the number of ways to choose k successes from 16 boats.

5. Calculate 1 - P(X ≤ 10) to get the probability of mission success.

After performing the calculations, the probability of mission success is found to be approximately 99.5%, which corresponds to option A.

So, the probability of mission success, given that at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission and each boat has a failure rate of 1 failure per 100 hours, is approximately 99.5%.

Hence, option (A) is correct.

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Step-by-step explanation:

12 to 39 divide each by 3

4 to 13 is the simpliest ratio

Step-by-step explanation:

given,

amount she deposited in bank = $450

amount get automatic deducted each month for her gym membership = $35.20

So, amount of money will left at the end of 4 months = 4 × 35.20 = $140.8

so, $450 - 140.8 = $309.2

therefore, $309.2 amount will remain at the end of 4 months.

A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

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Answer:

A. Henry's balloon was farther from the town at the beginning, and it

traveled more quickly.

Step-by-step explanation:

have amazing day♡

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:

5(x + 3) = 3x - 4

=> (5 * x ) + (5 * 3) = 3x - 4

=> 5x + 15 = 3x - 4

=> 5x = 3x - 4 - 15

=> 5x - 3x = -4 - 15

=> 2x = -19

=> x = -19/2

=> x = -9.5

If my answer helped, kindly mark me as the brainliest!

Thank You!!

Answer:

1. Neither would yield the lower tax.

2. (not sure yet about how much)

3. and there is not really a marriage penalty.

Therefore, The smallest set of integers guaranteed to have a difference that is a multiple of 14 is 15. This is due to the Pigeonhole Principle and the 14 possible remainders when dividing integers by 14.

The smallest set of integers for which we are guaranteed there exist two whose difference is a multiple of 14 is 15. This can be explained by considering the possible remainders when dividing integers by 14. There are 14 possible remainders (0 to 13), but if we choose 15 integers, then by the Pigeonhole Principle, at least two of them must have the same remainder when divided by 14. The difference between these two integers will be a multiple of 14, as their remainders are the same. Therefore, the smallest set of integers required is 15.
Therefore, The smallest set of integers guaranteed to have a difference that is a multiple of 14 is 15. This is due to the Pigeonhole Principle and the 14 possible remainders when dividing integers by 14.

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Considering the data given in the table, the quadratic curve of best-fit is given by:

D. y = 2.3x² - 2.4x + 3.5.

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, we have that:

Using a calculator, the equation is given by:

y = 2.3x² - 2.4x + 3.5.

Hence option D is correct.

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Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

We can define the absolute value of any number:

IxI as:

"The distance between the point x and the origin in the coordinate axis"

If we are in one dimension, x is just a value, and the coordinate axis will be a number line.

Then we could rewrite this as:

"is the distance between the value x and the 0 in the number line"

So:

IxI = x if x > 0

IxI = -x if x < 0.

Then:

I -5 I

Is the distance between the number -5, and the 0 in the number line, and this is:

I - 5 I = 5.

The correct option is:

"It is the distance that -5 is form 0 on the number line"

Answer:

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Given that AB = BC , substitute values

2x + 4 = x + 8 ( subtract x from both sides )

x + 4 = 8 ( subtract 4 from both sides )

x = 4

The quadrilateral in the picture is a square since all four sides are equal.

The angles are all equal and all are right angles.

Clearly, the quadrilateral is a square.

No, not all isosceles triangles are always similar. Two triangles are considered similar if their corresponding angles are congruent and their corresponding sides are in proportion. While all equilateral triangles are also isosceles triangles, not all isosceles triangles have congruent angles and proportional sides.

Any triangle with any two sides that have the same length is known as an isosceles triangle. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides. Triangles are three-sided polygons in geometry that can be divided into three groups based on their sides, such as:

For example, consider an isosceles triangle with base angles of 70 degrees and a third angle of 40 degrees, and another isosceles triangle with base angles of 80 degrees and a third angle of 20 degrees. These triangles have different angles and are therefore not similar, even though they are both isosceles triangles.

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Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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The maximum value of the data in the box-and-whisker plot is 75.

A box-and-whisker plot is a standardized representation of statistical data on a plot using a rectangle drawn to represent the distribution of data under five summaries: “minimum”, first quartile [Q1], median, third quartile [Q3], and “maximum.”

The inside vertical line indicates the median value while the lower and upper quartiles are horizontal lines on either side of the rectangle.

Minimum value = 10
Median = 35

Maximum value = 75

Thus, the maximum value, which shows the end of the line, of the data distribution of this box-and-whisker plot is 75.

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State, AAA rated and High tech firm bonds have maturity of 10years, 5years and 3 years respectively.

Bond is a financial instrument that represents a debt obligation. When you purchase a bond, you are essentially lending money to the issuer (which can be a government, corporation, or other entity) in exchange for regular interest payments and the repayment of the principal amount at a specified future date, known as the maturity date.

1. Maturity of Each Bond Group:

- State bonds: The state bonds have a maturity of 10 years.

- AAA rated bonds: The AAA rated bonds have a maturity of 5 years.

- High tech firm bonds: The high tech firm bonds have a maturity of 3 years.

2. Coupon Rates:

- State bonds: The state bonds have a 5% coupon rate.

- AAA rated bonds: The AAA rated bonds have a 6.5% coupon rate.

- High tech firm bonds: The coupon rate is not provided for the high tech firm bonds.

3. Par Values:

- State bonds: The par value of each state bond is not mentioned.

- AAA rated bonds: The par value of each AAA rated bond is not mentioned.

- High tech firm bonds: The par value of each high tech firm bond is $500.

4. Municipal Bonds:

Based on the given information, there is no mention of Sylvester purchasing any municipal bonds. Therefore, none of Sylvester's new investments are municipal bonds.

5. Corporate Bonds:

- High tech firm bonds: The high tech firm bonds are issued by a high tech firm, which indicates that they are corporate bonds.

6. Standard & Poor's Consultation:

From the information provided, there is no specific indication as to which bond purchase Sylvester consulted Standard & Poor's for.

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The area of the quadrilateral ABCD for this case is of 4 square units.

The quadrilateral ABCD in the context of this problem represents a diamond, hence it's area is given by half the product of the diagonal lengths of the diamond.

The lengths for each diagonal of the diamond are given as follows:

The product of the diagonal lengths is given as follows:

AC x BD = 2 x 4 = 8 square units.

Hence half the product of these diagonal lengths, representing the area of the quadrilateral, is given as follows:

0.5 x 8 square units = 4 square units.

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The relative frequencies for the car riders are given as follows:

A relative frequency is obtained with the division of the number of desired outcomes by the number of total outcomes.

The total number of car riders is given as follows:

78.

The number in each grade is given as follows:

Hence the relative frequencies are given as follows:

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Answer: 1. 64 | 2. 32

Step-by-step explanation:

Formula for a rectangle is Area = Length*Width

Therefore: 8*8 = 64

Formula for a triangle is Area = 1/2*Base*Height, which is also 1/2*length*width

Therefore: 1/2*8*8 = 32

Hope this helps :)

Since the percent grade in period 1 was 92% and in period 2 was 96%, then the percent change from period 1 to 2 was 4%.

Since the percent grade in period 2 was 96% and in period 3 was 99%, then the percent change from period 2 to 3 was 3%.

Since 4% is 1% greater than 3%, then the percent change from grading period 1 to 2 was 1% greater than the percent change from grading period 2 to 3.

Therefore, the answer is: 1.0%.