the curve c, which goes along y = x2 from the point (0, 0) to the point (2, 4), then in a straight line from (2, 4) to (0, 4), and then along the y-axis back to (0, 0)

Answer:

13/20

Step-by-step explanation:

0.650 /1

0.650 × 100

1 × 100   =  

65 /100

65 ÷ 5

100 ÷ 5  =  

13 /20

Answer:

Median: 88.5

Mean: 69.75

Step-by-step explanation:

Mean: add all numbers and divide by the amount of numbers.

Median: find the center most number. If none exist, take the two center most numbers and divide them by 2.

Mean: 12+88+89+90

279/4

69.75

Median:

(88+89)/2

177/2

88.5

Answer:

Mean: 69.75

Median: 88.5

Step-by-step explanation:

To find the mean of these four numbers add them together and divide by the # of numbers there are. (4)

(12 + 88 + 89 + 90)/4

(100 + 89 + 90)/4

(100 + 179)/4

279/4

The mean of this set is 69.75.

To find the median of a set with an even amount of numbers, find the two numbers in the middle, add them, and divide by 2.

(88 + 89)/2

177/2

The median of this set is 88.5.

The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

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The domain of the function is all real numbers greater than or equal to -2, denoted as (-2, ∞).

A function is a mathematical relationship between a set of inputs, called the domain, and a set of outputs, called the range, where each input is associated with exactly one output.

For the given function f(x) = √(x + 2), let's consider the domain.

Since we have a square root function, the expression inside the square root (x + 2) must be non-negative to obtain a real result.

To find the domain, we set x + 2 ≥ 0 and solve for x:

x + 2 ≥ 0

x ≥ -2

Therefore, the domain of the function is all real numbers greater than or equal to -2, denoted as (-2, ∞).

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Answer:

B)

a + c = 7

9a + 4c = $43

Step-by-step explanation:

There're 7 tickets which were bough in total. Two different types of tickets, one which represented children, the other for adults. The adult ticket is represented by a and is 9 dollars. The children's ticket is represented by c and is 4 dollars.

Have a nice April Fool's XD.

In the subtraction using 8-bit representation and 2's complement, the given numbers are converted to binary. The 2's complement of the subtrahend is found by inverting the bits and adding 1. The subtraction is performed by adding the minuend and the 2's complement of the subtrahend. If the result is negative, its 2's complement is taken to find the positive value. The final answer is obtained as the positive value with a minus sign if applicable.

a. To perform the subtraction 42 - 18 using 8-bit representation and 2's complement of the subtrahend:

Convert the numbers to their binary representation:

42 (decimal) = 00101010 (8-bit binary)

18 (decimal) = 00010010 (8-bit binary)

Find the 2's complement of the subtrahend (18):

Invert all the bits: 00010010 → 11101101

Add 1: 11101101 + 00000001 = 11101110

Perform the subtraction by adding the minuend (42) and the 2's complement of the subtrahend (-18):

00101010 (42) + 11101110 (-18's 2's complement) = 10011000 (-40 in decimal)

Since the result is negative (-40), we take its 2's complement to find the positive value:

Invert all the bits: 10011000 → 01100111

Add 1: 01100111 + 00000001 = 01101000 (40 in decimal)

Therefore, 42 - 18 = 40.

b. To perform the subtraction 17 - 38 using 8-bit representation and 2's complement of the subtrahend:

Convert the numbers to their binary representation:

17 (decimal) = 00010001 (8-bit binary)

38 (decimal) = 00100110 (8-bit binary)

Find the 2's complement of the subtrahend (38):

Invert all the bits: 00100110 → 11011001

Add 1: 11011001 + 00000001 = 11011010

Perform the subtraction by adding the minuend (17) and the 2's complement of the subtrahend (-38):

00010001 (17) + 11011010 (-38's 2's complement) = 11101011 (-21 in decimal)

Since the result is negative (-21), we take its 2's complement to find the positive value:

Invert all the bits: 11101011 → 00010100

Add 1: 00010100 + 00000001 = 00010101 (21 in decimal)

Therefore, 17 - 38 = -21, or in positive form, 21 with a minus sign (-21).

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When testing the claim that μ > 25.6 with a sample size of n=51 and a level of significance of α=0.01, you should reject H₀ if the standardized test statistic is greater than the critical value.

To determine when to reject H₀ (the null hypothesis that μ=25.6), we need to calculate the standardized test statistic using the sample size (n=51) and level of significance (a=0.01).The appropriate critical value for a one-tailed test at a 0.01 level of significance is 2.33. Therefore, we should reject H₀ if the standardized test statistic is greater than 2.33.The formula for calculating the standardized test statistic is: \($\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}}$\), where \($\bar{x}$\) is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

With a sample size of 51, we can use the Central Limit Theorem to assume that the sample mean is normally distributed. We would calculate the standardized test statistic and compare it to the critical value of 2.33 to determine whether or not to reject H₀. In this case, the critical value can be found using a Z-table or calculator for a one-tailed test with α=0.01. The critical value is 2.33. Therefore, you should reject H₀ if the standardized test statistic is greater than 2.33.

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Answer:

1. 121

2. 112

3. 137

4. 141

5. 133

6. 112

Step-by-step explanation:

Answer:

Im not sure

Step-by-step explanation:

Answer:

65 cars

Step-by-step explanation:

In the first month, there are 11, then the cars increased by 9 for the last 6 months, meaning you can do 6*9=54

You can then add that to 11, which is 11+54=65

The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.

The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.

To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.

The modified code for binary search in descending order would look like this:

public static int binarysearch2(int[] list, int key) {

   int low = 0;

   int high = list.length - 1;

   while (high >= low) {

       int mid = (low + high) / 2;

       if (key > list[mid])

           high = mid - 1;

       else if (key < list[mid])

           low = mid + 1;

       else

           return mid;

   }

   return -1; // Not found

}

By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.

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Answer:

B. n ≥ 12

Step-by-step explanation:

As you can see, the number is represented by n. So when n is no less than 12, it means that n is greater than 12 but can also be equal to it.

Therefore, the answer is n ≥ 12

Answer:

AAA

Step-by-step explanation:

Answer:

I gotchu!

Step-by-step explanation:

The statement "If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent" is true.

Let's understand why?

Explanation:

An argument with a tautology conclusion is an argument that arrives at a conclusion that is always true, regardless of the truth values of the premises. In other words, it is impossible for the premises to be true while the conclusion is false.

This means that any attempt to find a counterexample that disproves the conclusion will always fail, as there is no possible scenario in which the conclusion is false.

The counterexample set of an argument is the set of all possible scenarios in which the premises are true but the conclusion is false. If the conclusion is a tautology, then there is no possible scenario in which the conclusion is false, and thus the counterexample set is empty. An empty counterexample set is equivalent to an inconsistent counterexample set, as it means that there is no consistent scenario in which the conclusion is false.

Therefore, if the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent.

Hence, the statement is true.

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(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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The statement an assumption underlying the t-distribution is that the population from which we are sampling comes from an exponential distribution is false.

The t-distribution assumes that the population from which we are sampling follows a normal distribution, not an exponential distribution.

The t-distribution is used when the population standard deviation is unknown and is estimated from the sample standard deviation, and when the sample size is small (typically less than 30).

When the test measure is expansive (regularly more noteworthy than 30), the t-distribution gets to be exceptionally comparative to the standard typical dispersion. 

therefore, an assumption underlying the t-distribution is that the population from which we are sampling comes from an exponential distribution is false.

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Raven bought 1/3 kg of turkey ham, and Chisa bought 2/9 kg less. The total amount of turkey ham they bought together is 1/3 + 1/9 = 3/9 + 1/9 = 4/9 kg. Together, they bought a total of 4/9 kg of turkey ham.

A fraction is a mathematical symbol that represents a portion of a whole or a component of a number. It is made up of two numbers divided by a horizontal line, with the number above the line (numerator) indicating the portion under consideration and the number below the line (denominator) indicating the entire or the total number of equal parts in the whole.

From the given information, we know that Raven bought 1/3 kg of turkey ham, and Chisa bought 2/9 kg less than Raven. This means that Chisa bought:

1/3 kg - 2/9 kg = 3/9 kg - 2/9 kg = 1/9 kg

Now we can find the total amount of turkey ham they bought together by adding Raven's purchase and Chisa's purchase:

1/3 kg + 1/9 kg = 3/9 kg + 1/9 kg = 4/9 kg

Therefore, Raven and Chisa bought a total of 4/9 kg of turkey ham together.

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Step-by-step explanation:

given ponts,

(3,0)=(x1,y1)

(-6,-3)=(x2,y2)

we know,

Eqn of any line joining two points be,

(y-y1)={(y2-y1)/(x2-x1)}*(x-x1)

y-0={(-3-0)/(-6-3)}*(x-3)

y=(1/3)*(x-3)

y=(x-3)/3

3y=x-3

0=x-3y-3

x-3y-3=0

Therefore it is required eqn

Answer: \(12\ mph\)

Step-by-step explanation:

Given

First cyclist travels \(3\ miles\) in \(15\ min\)

Then, \(7\ miles\) in \(35\ min\)

Average speed is given by \(=\dfrac{\text{Distance}}{\text{time taken}}\)

\(V_{avg}=\dfrac{3+7}{15+35}\)

\(V_{avg}=\dfrac{10}{50}=\dfrac{1}{5}\ mile/min\)

\(V_{avg}=\dfrac{1}{5}\times 60\ miles/hr\)

\(V_{avg}=12\ mph\)

Thus cyclist speed is \(12\ mph\)

To solve this problem, we can use the equation relating angular speed, angular displacement, and time:

Angular speed (ω) = Angular displacement (θ) / Time (t)

In this case, the wheel makes 70.0 full revolutions, which is equivalent to an angular displacement of 70.0 * 2π radians. The time interval is given as 3.00 seconds.

We can rearrange the equation to solve for angular speed:

Angular speed (ω) = (Angular displacement (θ)) / (Time (t))

ω = (70.0 * 2π) / 3.00

To calculate the angular speed, we substitute the given values into the equation: ω = (70.0 )(2π) / 3.00 ≈ 369.8 radians/second

Therefore, the angular speed of the wheel is approximately 369.8 radians/second.

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The following values are 56.8 when rounded to the nearest tenth; 56.809, 56.749, 56.795, and 56.832

= 56.9

= 56.8

= 56.8

= 56.1

= 56.8

= 56.8

= 56.7

Therefore, the following values are 56.8 when rounded to the nearest tenth; 56.809, 56.749, 56.795, and 56.832

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The statement is true because the calculated proportion of senior tickets sold during the evening, based on the given data, is equal to the expected proportion of senior tickets when 400 tickets are sold.

To determine if Stefan's prediction is true or false, we need to compare the proportion of senior tickets sold during the evening with the expected proportion when 400 tickets are sold.

First, let's calculate the proportion of senior tickets sold during the evening:

Proportion of senior tickets during the evening = (Number of senior tickets during the evening) / (Total number of tickets sold during the evening)

= 15 / (45 + 15)

= 15 / 60

= 0.25 or 25%

Now, let's calculate the expected proportion of senior tickets when 400 tickets are sold:

Expected proportion of senior tickets = (Number of senior tickets expected) / (Total number of tickets expected)

= 100 / 400

= 0.25 or 25%

Comparing the proportion of senior tickets sold during the evening (25%) with the expected proportion when 400 tickets are sold (25%), we can see that they are equal. Therefore, Stefan's prediction is true based on the provided data.

A movie theater randomly samples the types of admission Time of Day Adult Senior

Time of Day          Adult  Senior            

Afternoon                12         48                  

Evening                  45          15                  

tickets sold on a Friday in the afternoon and in the evening.

Stefan predicts that when 400 tickets are sold on a Friday evening, it can be expected that 100 of the tickets sold will be senior tickets. Is Stefan's prediction True or False?

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To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Step-by-step explanation:

that is really a problem ?

come on !

you know, the area of a square is side length × side length = length²

that is basically all of us learn as the very first thing when we are learning about squaring and multiplication.

how do we get the regular side length out of length² ?

we pull the square root. you have a calculator (at least on your computer, cell phone,...).

sqrt(121) = .... .... .... 11 ! tada !

and the perimeter of a square ... you really have to ask ?

it is the way all around the whole square. you need to go along every one of the 4 sides.

so, it is side length × 4 = 11×4 = 44 cm

again - you really needed help with THAT ?

Answer:

289m²

Step-by-step explanation:

Area of circle =πr²=π×17²=289m² when r=radius =17m

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

I dont know what thats asking

Step-by-step explanation: