A 2-dimensional 3x3 array of ints, has been created and assigned to tictactoe. Write an expression whose value is that of the first element in the first row.

The correct interpretation of the psychologist's statement, "The evidence indicates that the correlation between a faculty member's research productivity and teaching rating is close to zero," would be b. good researchers are just as likely to be good teachers as they are bad teachers.

This interpretation suggests that there is no significant relationship between a faculty member's research productivity and their teaching rating. It means that being a good researcher does not necessarily imply being a good teacher, and vice versa.

The psychologist's statement indicates that the two factors, research productivity and teaching ability, are not strongly correlated with each other.

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The answer after solving the expression 12x - 3y / 4x - z with x = 3,y=1/3 and z = 5 is 5.

Given:

x = 3 , y = 1/3 and z = 5 and expression  12x - 3y / 4x - z.

substitute the x,y,z values in expression.

= 12(3)-3(1/3) / 4(3)-5

= 36 - 3/3 / 12 - 5

= 36 - 1 / 7

= 35/7

= 5.

Therefore the answer after solving the expression 12x - 3y / 4x - z with x = 3,y=1/3 and z = 5 is 5.

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The area of the triangle is 31.54 square units

From the question, we have the following parameters that can be used in our computation:

We have the following values

a = 7 units

c = 11 units

B = 55 degrees

The area of the triangle is calculated using the following area formula

Area = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 7 * 11 * sin(55 degrees)

Evaluate

Area = 31.54

Hence, the area is 31.54 square units

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In case of a 2.5% increase in your pay which is now $25,000, your new salary will be $25,625.

First, you need to determine the percent increase i.e.2.5% of 25,000 (old salary),

            2.5%      x     25,000     =     ?

           2.5/100   x    25,000     =  625

So, the $625 would be the increased amount in your salary which is equal to 2.5% of your old salary (i.e. 25,000).

In order to find out the amount of your new salary that you will be receiving, you have to add the increased amount to the amount of your old salary, as follows:

amount of the new salary =  amount of the old salary + percent increase

                                       =     $25,000 +   $625

                                       =       $ 25,625

When an increase of 2.5% is made in your salary which is now $25,000, then your new salary becomes $25,625.

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Answer:

4a/5

Step-by-step explanation:

(a+a+a+a) / 5

Combine like terms

4a/5

As the sales price is 65% off you find the 65% of the original cost and then substract it from the original cost:

Answer:

58 m / s²

Step-by-step explanation:

The rate of change of displacement is velocity v

The rate of change of velocity is acceleration a , thus

v = \(\frac{dx}{dt}\) = 15t² - 2t , then

a = \(\frac{dv}{dt}\) = 30t - 2

After 2 seconds

a = 30(2) - 2 = 60 - 2 = 58 m/ s²

No, A is not an eigenvalue of A because AAx = 0 only has the trivial solution. Option B.

Eigenvalues are the values of the scalar λ that satisfy the equation (A-λI)x = 0, where A is a matrix, I is the identity matrix, and x is a nonzero vector.

If λ is an eigenvalue of A, then there exists a nontrivial solution to this equation, meaning that x is not equal to 0.

If the equation only has the trivial solution, where x = 0, then λ is not an eigenvalue of A.

In this case, A is not an eigenvalue of A because AAx = 0 only has the trivial solution, where x = 0.

Therefore, option B is the correct answer.

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Answer:

The most common geometric shape in nature is the hexagon.

The average rate of change per hour in the temperature is 0.83 degrees.

To find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.

The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.

Therefore, the average rate of change per hour can be calculated as follows:

average rate of change per hour = total change in temperature / number of hours

So, we have

average rate of change per hour = 5 degrees / 6 hours

average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)

So, the average rate of change per hour is 0.83 degrees.

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Answer:

x = 18 , y = 15

Step-by-step explanation:

Given the 2 equations

3x - 2y = 24 → (1)

x + 2y = 48 → (2)

Adding the 2 equations term by term will eliminate the y- term

4x + 0 = 72

4x = 72 ( divide both sides by 4 )

x = 18

Substitute x = 18 into either of the 2 equations and solve for y

Substituting into (2)

18 + 2y = 48 ( subtract 18 from both sides )

2y = 30 ( divide both sides by 2 )

y = 15

A. The function that models the inverse variation is y = 144/x

b. The value of x when y = 36 is 4

An inverse variation simply shows the relationship between two variables whereby when one value increases, the other value will decrease

1. In this case, x and y vary inversely and that x=48 when y=3. The inverse relationship will be:

y = k/x

3 = k/48

Cross multiply

k = 48 × 3

k = 144

Therefore, y = 144/x

2. When y is 36, x will be:.

y = 144/x

36 = 144/x

Cross multiply

36x = 144

Divide

x = 144 / 36

x = 4

The value of x is 4.

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Answer:

Answer: Pct women = 56%; pct men = 44%

Step-by-step explanation:

Pct men = total men/total people * 100

men = 750-420 = 330

Pct men = 330/750 *100 = 11/25 *100 = 0.44 * 100 = 44%

.

Pct women = 100% - 44% = 56%

.

Check the answer by checking the percentage of women.

women = 420

Pct women = 420/750 * 100 = 14/25 = 56%

Correct.

.

Answer: Pct women = 56%; pct men = 44%

Answer:

first function:

\( f(x) = \dfrac{2 - 10}{2 - 0} x + 10 = \\ - 4x + 10\)

second one:

\(g(x) = \cfrac{ - 4 - 2}{2 - 0} x + 2 = \\ - 3x + 2\)

now the intersection:

-4x+10=-3x+2

x=8

then y

y = -4×8+10 = -22

so it's

(8,-22)

Answer:

v=72 in3

sa=104 in2

Step-by-step explanation:

hope this helps!

They are all right angles which are 90 degrees. The missing angle is 90 minus the given angles:

1. 90 - 60.7 = 29.3

2. 90 - 60.3 = 29.7

3. 90 - 30.9 = 59.1

Answer:

10\(x^{5}\)

Step-by-step explanation:

The list is: 30\(x^{7}\), 60\(x^{5}\), 110\(x^{8}\)

Find the GCF

We see

30, 60, and 110 have the greatest common factor is 10.

\(x^{7}\), \(x^{5}\), \(x^{8}\) have the greatest common factor is \(x^{5}\)

So, the greatest common factor for the list of terms is 10 \(x^{5}\)

For the given points, As the distance of AB and CD is same, So AB and CD are congruent.

If and only if their lengths are identical, any two line segments are congruent. The length of the line segment AB is identical to the length of the line segment CD in the aforementioned representations. Consequently, the two line segments AB and CD are similar.

length of AB = √(2+2)² + (1-1)²  =  2

length of CD = √(3-3)² + (2+2)² = 2

As the value of AB = CD So, we can say that AB and CD are congruent.

Graph is attached at the end.

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While playing, they move, but still maintain the sinusoidal function, ... 5.At the end of the performance, the band marches off the field to the ... Asa grabs his camera to takes a picture of the entire football field. At the instant he takes the picture, the first person forming the curve now stands at the 5 yard line.

The dollar duration of the given bond is $3.71

Dollar duration:

Dollar duration means a linear approximation of how a bond's value will change in response to changes in interest rates.

Given,

Here we have to assume that a bond sells at $92.10 and its modified duration is 4.03.

And we need to compute dollar duration. answer with two decimal digits accuracy and the correct sign.

As per the formula of dollar duration, the values of

bond price = $92.10

duration = 4.03

interest rate = 0.01

So, the dollar duration is calculated as follows,

=> dollar duration = 0.01 x 92.10 x 4.03

=> dollar duration = 3.71

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Answer:

a. 3/7

b. Juan probably missed the reverse operator where he multiplies the reciprocal of the number he's dividing. For example, -2/21 / 1/7=-2/21*7/1.

Step-by-step explanation:

a. -2/7 / (-2/21 / 1/7)=

-2/7 / (-2/21*7)=

-2/7 / -14/21=

-2/7*21/(-14)=

-2*21/(7*-14)=

-42/-98=3/7

Step-by-step explanation:

x + 15 +2x + 66 = 180

3x + 81 = 180

3x = 99

x = 99/3 = 33

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

Answer:

The angles are 66, 66, and 48 degrees

The triangle is isosceles because 2 angles are equal, thus two leg lengths are equal

Step-by-step explanation:

the sum of all three angles in a triangle = 180 degrees

66 + 2x + (x+15) = 180

simplify

66 +3x + 15 = 180

reduce

81 + 3x = 180

subtract 81 from each side

81 - 81 + 3x = 180 - 81

3x = 99

divide both sides by 3

3x/3 = 99/3

x = 33

The probability that the sample mean is greater than 168 is approximately 0.0655, or 6.6% (rounded to the nearest tenth of a percent).

To find the probability that the sample mean is greater than 168, we can use the central limit theorem and the properties of the normal distribution.

The central limit theorem states that for a large enough sample size (in this case, n = 50), the distribution of sample means will approach a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 164 and the population standard deviation is 18.65, we can calculate the standard deviation of the sample mean, also known as the standard error, using the formula:

Standard Error (SE) = Population Standard Deviation / √(Sample Size)

SE = 18.65 / √50

SE ≈ 2.636

Next, we need to standardize the value of 168 using the sample mean and the standard error. This allows us to calculate the probability using the standard normal distribution.

Z = (Sample Mean - Population Mean) / Standard Error

Z = (168 - 164) / 2.636

Z ≈ 1.516

To find the probability that the sample mean is greater than 168, we can look up the corresponding area under the standard normal curve to the right of Z = 1.516. This can be done using a standard normal distribution table or a statistical calculator.

Using a standard normal distribution table, we find that the area to the right of Z = 1.516 is approximately 0.0655.

Therefore, the probability that the sample mean is greater than 168 is approximately 0.0655, or 6.6% (rounded to the nearest tenth of a percent).

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Answer:

unit rate: (1,1)

Step-by-step explanation:

In order to compute the given expressions, it is necessary to use the given sequence of natural numbers an = 2n² + 1, for n ∈ N. The required expressions are as follows:(2) Give an example of a sequence of rational numbers is

For n = 1, a₁ = 2(1²) + 1 = 3For n = 2, a₂ = 2(2²) + 1 = 9For n = 3, a₃ = 2(3²) + 1 = 19For n = 4, a₄ = 2(4²) + 1 = 33For n = 5, a₅ = 2(5²) + 1 = 51 Therefore, the first few terms of the sequence are 3, 9, 19, 33, 51.  Now we'll compute the required expressions:

Expression 1: lim n→∞ anThis is the limit of the sequence as n approaches infinity. Since an is a quadratic polynomial, it will increase without bound as n increases. As a result, the limit does not exist. Therefore, the limit is DNE.

Expression 2: lim n→∞ (an+1/an)To calculate the limit of the sequence quotient, we will divide the terms of the sequence as follows:

(aₙ₊₁)/(aₙ) = [2(n + 1)² + 1] / [2n² + 1]To get an idea of how the limit behaves, we'll factor out the leading terms of the numerator and denominator: (aₙ₊₁)/(aₙ) = (2n² + 4n + 2 + 1) / (2n² + 1)By dividing both numerator and denominator by 2n², we get:(aₙ₊₁)/(aₙ) = [1 + (2n⁻¹) + (1 / 2n²)] / 1As n approaches infinity, the third term in the numerator approaches zero. Therefore, the sequence quotient approaches 1 + (2n⁻¹).As a result, lim n→∞ (an+1/an) = 1

Expression 3: lim n→∞ (√an)As n approaches infinity, the square root of an approaches infinity as well. Therefore, the limit does not exist. Thus, the limit is DNE.(2) Give an example of a sequence of rational numbers. A sequence of rational numbers is one in which every term is a rational number.

An example of such a sequence is the sequence of reciprocals of natural numbers. The sequence of natural numbers is given by:1, 1/2, 1/3, 1/4, 1/5, ...The terms of the sequence are all fractions with numerator 1 and denominator n, where n is a natural number. As a result, each term is a rational number.

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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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The football team scored 44 touchdowns during the 2018 season.

What is football team?

Football, also known as soccer in some parts of the world, is one of the most popular sports on the planet. It is played by millions of people worldwide, both professionally and recreationally. A football team is a group of players who come together to play the game at a competitive level.

A football team typically consists of eleven players, with one goalkeeper and ten outfield players. The outfield players are usually divided into defenders, midfielders, and forwards, each with their specific roles and responsibilities. The goalkeeper's primary job is to prevent the opposing team from scoring goals, while the outfield players aim to score goals for their own team while defending their own goal.

Professional football teams typically play in leagues, with teams from different cities or countries competing against each other. These leagues are usually organized into divisions, with the top teams from each division competing in playoffs or other knockout-style competitions to determine the overall champion.

Football teams can be found at all levels of the game, from amateur and recreational teams to professional clubs playing at the highest level of the sport. Many of the world's most famous football teams are based in Europe, where the sport has a long and storied history. Teams like Real Madrid, Barcelona, Manchester United, and Bayern Munich have millions of fans worldwide and are among the most successful and prestigious clubs in the sport.

If a football team had 352 first downs in the 2018 season, and this is eight times as many as the number of touchdowns they scored, we can use algebra to solve for the number of touchdowns.

Let x be the number of touchdowns the team scored in the 2018 season. Then we can write an equation:

352 = 8x

To solve for x, we can divide both sides of the equation by 8:

\(x = \frac{ 352}{8} \\ x = 44\)

Therefore, the football team scored 44 touchdowns during the 2018 season.

This is a problem of equation related.

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Among the followings A, C, D, and F subsets of P2 are subspaces of P2.

The subsets of P2 that are subspaces of P2 are A, C, D, and F.

A. {p(t) | p′(t)+4p(t)+9=0} is a subspace of P2 because it satisfies the criteria of being closed under addition and scalar multiplication.

B. {p(t) | p′(0)=p(4)} is not a subspace of P2 because the derivative of p(0) does not equal p(4).

C. {p(t) | p(2)=0} is a subspace of P2 because it satisfies the criteria of being closed under addition and scalar multiplication.

D. {p(t) | p′(t) is constant } is a subspace of P2 because it satisfies the criteria of being closed under addition and scalar multiplication.

E. {p(t) | 6) =2} is not a subspace of P2 because the derivative of p(6) does not equal 2.

F. {p(t) | p(−t) =p(t) for all t} is a subspace of P2 because it satisfies the criteria of being closed under addition and scalar multiplication.

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(a) The number of double sixes, X, follows a binomial distribution because each roll of the two dice can be considered a Bernoulli trial with a success defined as getting a double six. The probability of getting a double six in a single roll is 1/36 since there are 36 possible outcomes and only one of them is a double six.

Since there are 100 rolls of the dice, X represents the number of successes (double sixes) out of 100 trials. Thus, X follows a binomial distribution with parameters n = 100 (number of trials) and p = 1/36 (probability of success).

(b) It is not suitable to approximate the distribution of X by a Poisson distribution because the conditions for using the Poisson approximation are not satisfied. The Poisson distribution is typically used to approximate a binomial distribution when the number of trials is large (n is large) and the probability of success is small (p is small).

In this case, n = 100 is not considered large, and p = 1/36 is not considered small. The Poisson approximation works best when the expected number of successes is large and the probability of success is small. However, in the case of rolling two dice, the expected number of double sixes in 100 rolls is only 100 * (1/36) = 2.78, which is not large.

(c) To find P(X ≥ 3) using the binomial distribution, we sum the probabilities of getting 3 or more double sixes out of 100 rolls. Using the binomial distribution formula:

P(X ≥ 3) = 1 - P(X < 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2)

To calculate the individual probabilities, we use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where "n choose k" represents the binomial coefficient.

Alternatively, if the Poisson approximation was suitable, we could use the Poisson distribution to approximate P(X ≥ 3). However, since we have established that the conditions for the Poisson approximation are not met, it is not appropriate to use it in this case.

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