What is the velocity of an airplane traveling 4500 miles West over 10 hours?

The relationship between x and y is a strong negative relationship.

For this question, we need to determine the correlation coefficient,

Thus,

The correlation coefficient

= (21 - 5*6)/ \(\sqrt{9 * 10}\)

= -0.948

The above answer is too close to -1. Therefore correlation coefficient is a strong negative.

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Answer:

7867867867878678

Step-by-step explanation:

uyityuityuituityuityuityui

The probability of getting an odd number or a divisor of 9 when spinning the spinner once is 75%

To calculate the probability of getting an odd number or a divisor of 9 when spinning the spinner once, we need to first identify the possible outcomes.

The spinner can have 8 possible outcomes, which are: 1, 2, 3, 4, 5, 6, 9, and 10. Out of these outcomes, we have 4 odd numbers (1, 3, 5, and 9) and 2 divisors of 9 (9 and 10).

To calculate the probability, we need to add the probabilities of getting an odd number and a divisor of 9, and then subtract the probability of getting both an odd number and a divisor of 9 (since that would be counted twice otherwise).

P(odd or divisor of 9) = P(odd) + P(divisor of 9) - P(odd and divisor of 9)

P(odd) = 4/8 = 1/2

P(divisor of 9) = 2/8 = 1/4

P(odd and divisor of 9) = 0 (there is no number that is both odd and a divisor of 9)

Substituting the values, we get:

P(odd or divisor of 9) = 1/2 + 1/4 - 0 = 3/4

To convert this into a percentage, we multiply by 100:

P(odd or divisor of 9) = 75%

Therefore, the probability of getting an odd number or a divisor of 9 when spinning the spinner once is 75%.

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\( - \frac{4}{5} \div 2 = - \frac{4}{5} \times \frac{1}{2} = - \frac{2 }{5} \\ \)

So the second one is the correct answer.

Answer:

- 2/5

Step-by-step explanation:

divide

add - sign

hope this helps

The null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.

What is the null hypothesis?

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

Here,

We have to find out the slope of the line predicted by the null hypothesis if we are doing a linear regression.

We concluded that the null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.

Hence, the null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.

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Answer: y=-2

Step-by-step explanation:

Based on the location of the line and the focus of the parabola, the equation of the line will be y = -2.

The line is a horizontal line which means that the primary focus will be on the y axis.

The focus of the parabola is at F(6, 4) and the line is to be 6 units below this focus which means that the line on the y axis will be at:

= 4 - 6

= -2

This leaves the formula of the line as y = -2.

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It will take 50 hours to fill the tank with 750 liters of water when water flows into a tank at a rate of 15 liters per hour

In the above question, It is given that,

Water flows in the tank at a rate of = 15 liters per hours

It means that, in a span of 1 hour the water flowing in the tank is 15 liters

We need to find,

How long will it take to fill a tank that holds 750 liters

To do that, our approach would be to first find the water flowing in the tank in 1 hour and we'll find time taken to fill water of 750 liters in the tank

Water flowing in the tank in 1 hour = 15 liters

Water flowing in the tank in x hour = 750/15 hours

= 50 hours

Hence, It will take 50 hours to fill the tank with 750 liters of water when water flows into a tank at a rate of 15 liters per hour

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Answer:

600 feet.

Step-by-step explanation:

1 hour and 15 minutes is equal to 75 minutes.

Therefore,

8 times 75 equals 600 feet.

Answer:

= 40√6

Step-by-step explanation:

least common multipler of 8,2:8

Float rate_of_pay  a declaration for a variable rate_of_pay that can hold values like 11.50 or 12.75.

What is   float rate_of_pay?

Is a fixed or floating rate preferable?

float rate_of_pay

rate_of_pay = 11.50, 12.75;

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Answer:

number 3 is the answer

Step-by-step explanation:

hope u understand

Answer:This is problems on common factors.

(a) 600 = 2 × 2 × 2 × 3 × 5 × 5

      = 2³ˣ 3 ˣ 5²

(b)   The highest common factors could be calculated using factors methods and the divisional methods.

Here we go.

(i)   600  = 2³ ˣ 3 ˣ 5²

    1050 = 2 ˣ 3 ˣ 5² ˣ 7, the highest common factor HCF will be

     HCT = 2 ˣ 3 ˣ 5²

              = 150.

The divisional methods.

    600) 1050 ( 1

           -  600

               ------

              450 ) 600 ( 1

                      -  450

                         ------

                          150 ) 450 ( 3

                                 - 450

                                   ------

                                  000

So the answer is 150, the principle is that you continue to divide and subtract until you arrive at zero.

Answer = 150

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Answer:

a juice bo has 20% more juice than the original package. the original package holds 12 ounces.

first find what 100% of 12 is. 12 obvi. then divide 12 by 10 to get what 10% is. 10% of 12 is 1.2 so multiply 1.2 by 2 which is 2.4, and thats 20% of 12.

now add 2.4 to 12, and you get 14.4, how much the new juice box holds

The eigenvalues and eigenvectors of [A] are:

λ1 = 5, v1 = [2, -3, 1]

λ2 = -1,

(a) The matrix [A] is invertible if its determinant is non-zero. Therefore, we can compute the determinant of [A] as follows:

det([A]) = x * (33 - 51) - 15 * (23 - 50) + 7 * (21 - 30)

= x * (-2) - 15 * 6 + 7 * 2

= -2x - 88

[Note: we used the formula for the determinant of a 3 x 3 matrix in terms of its elements.]

Since [A] is not invertible, its determinant must be zero. Therefore, we can set the determinant equal to zero and solve for x:

-2x - 88 = 0

x = -44

Therefore, x = -44 if [A] is not invertible.

(b) To find the eigenvalues and eigenvectors of [A], we need to solve the characteristic equation:

det([A] - λ[I]) = 0

where λ is the eigenvalue and I is the identity matrix of the same size as [A].

We have:

[A] - λ[I] = x-λ 15 7

2 x-λ 5

0 1 x-λ

Therefore, the characteristic equation is:

det([A] - λ[I]) = (x-λ) [(x-λ)(x-λ) - 51] - 15 [2*(x-λ) - 01] + 7 [21 - 5*0] = 0

Simplifying this equation, we get:

(x-λ)^3 - 5(x-λ) - 30 = 0

This is a cubic equation that can be solved using various methods, such as using the cubic formula or using numerical methods. The solutions to this equation are the eigenvalues of [A].

By solving the equation, we find the following three eigenvalues:

λ1 = 5

λ2 = -1

λ3 = 2

To find the eigenvectors corresponding to each eigenvalue, we need to solve the system of linear equations:

([A] - λ[I])v = 0

where v is the eigenvector corresponding to the eigenvalue λ. We can write this system of equations for each eigenvalue and solve for the corresponding eigenvector.

For λ1 = 5, we have:

[A]v = 5v

(x-5)v1 + 15v2 + 7v3 = 0

2v1 + (x-5)v2 + 5v3 = 0

v2 + 3v3 = 0

Using the last equation, we can choose v3 = 1 and v2 = -3. Substituting these values in the second equation, we get v1 = 2. Therefore, the eigenvector corresponding to λ1 = 5 is:

v1 = 2

v2 = -3

v3 = 1

Similarly, we can solve for the eigenvectors corresponding to λ2 = -1 and λ3 = 2. The final eigenvectors are:

For λ2 = -1:

v1 = 1

v2 = 0

v3 = -1

For λ3 = 2:

v1 = -1

v2 = 1

v3 = -1

Therefore, the eigenvalues and eigenvectors of [A] are:

λ1 = 5, v1 = [2, -3, 1]

λ2 = -1,

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Answer:

i think 18

Step-by-step explanation:

Step-by-step explanation:

since g(f(x)) = x g (f (x) )= x, f - 1 (x) = 5x3 + 43 f - 1 (x) = 5 x 3 + 4 3

The inverse of the given function \(f(x) = 3(x-4)^{2} +5\) is \(f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4\).

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by \(f^{-1}\) or \(F^{-1}\).

According to the given equation.

We have a function.

\(f(x) = 3(x-4)^{2} +5\)

The above function can be written as

\(y = 3(x-4)^{2} +5\)

Write the above function for x.

\(\implies y -5 = 3(x-4)^{2}\)

\(\implies \frac{y-5}{3} = (x-4)^{2}\)

\(\implies \sqrt{\frac{y-5}{3} } =x-4\)

\(\implies \sqrt{\frac{y-5}{3} } +4=x\)

\(0r\ x = \sqrt{\frac{y-5}{3}}+4\)

Replace \(x\) by \(f^{-1}(x)\) and \(y\) by \(x\).

We get

\(f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4\)

Hence, the inverse of the given function \(f(x) = 3(x-4)^{2} +5\) is \(f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4\).

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A sequence can be an arithmetic sequence or geometric sequence or none.

The true statement is: (d) Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.

The first two terms of the sequence are given as: -5.5, 11

Assume the sequence is an arithmetic sequence, the next two terms would be 27.5, 44.

This is gotten by adding 16.5 (the common difference) to the current terms

Assume the sequence is a geometric sequence, the next two terms would be -22, 44.

This is gotten by multiplying the current terms by 2 (the common ratio)

The above means that: Both students are correct

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Answer:

D

Step-by-step explanation:

i took the test

Answer: 18

Step-by-step explanation:

If 19 Is hypotenuse and 6 is one of the sides

Answer:

4

Step-by-step explanation:

The slope of a line that is perpendicular is the negative inverse of the original.  The slope of the given line is -1/4.  This means that the slope of the perpendicular line will be 4.

The slope of a line perpendicular to the line; y = -1/4x -1 is:. 4

The line y = -1/4x − 1 takes the slope-intercept form of a straight line; y = mx + c.

In essence, the slope of the line y = -1/4x − 1 is;

Also, the slope of two perpendicular lines are related as follows;

The slope of the line perpendicular to line y = -1/4x − 1 is therefore;

In essence, the slope of a line perpendicular to the line; y = -1/4x -1 is:. 4.

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Answer:

Surface Area  = 4928 ft^2

Step-by-step explanation:

Easy way -

First find the area of each face i.e.

56 * 20 =  1120

65 * 20 = 1300

33 * 20 = 660

2 * (1/2 * 56 * 33) = 1848

Total = 4928 ft^2

The sequence an = arctan(14n¹⁸) diverges as n approaches infinity.

Converges (y/n): No (n)

Limit (if it exists, blank otherwise): ____

This is because the arctan function has a bounded range between \(-\frac{\pi}{2}\) and \(\frac{\pi}{2}\), and the argument of the arctan function, 14n¹⁸, grows without bound.

Here is the explanation :

To determine whether the sequence an = arctan(14n¹⁸) converges or diverges, we need to analyze the behavior of the sequence as n approaches infinity.

Let's consider the limit of the sequence as n approaches infinity:

\(\[\lim_{n\to\infty} \arctan(14n^{18})\]\)

As n approaches infinity, the term 14n¹⁸ also approaches infinity. However, the arctan function has a bounded range between \(-\frac{\pi}{2}\) and \(\frac{\pi}{2}\).

Since the argument of the arctan function, 14n¹⁸, grows without bound, the arctan function will continue to oscillate between \(-\frac{\pi}{2}\) and \(\frac{\pi}{2}\) as n increases.

Therefore, the sequence an = arctan(14n¹⁸) diverges as n approaches infinity.

Converges (y/n): No (n)

Limit (if it exists, blank otherwise): ____

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The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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The probability that each player will have $1 after 2019 rings of the bell is: (c) 1/3.

To solve this problem, we need to think about the possible outcomes of the game. Each time the bell rings, each player has a 1/2 probability of giving $1 to one of the other two players. This means that after one ring of the bell, there are 2^3 = 8 possible outcomes, as each player can either give or not give money to each of the other players.

After two rings of the bell, there are 2^8 = 256 possible outcomes. After three rings, there are 2^12 = 4,096 possible outcomes. And so on.

To find the probability that after 2019 rings of the bell, each player will have $1, we need to find the total number of possible outcomes and the number of outcomes in which each player has $1.

The total number of possible outcomes after 2019 rings of the bell is 2^(3*2019) = 2^6057.

To count the number of outcomes in which each player has $1, we can use a combinatorial argument. We need to distribute 2019 dollars among the three players in such a way that each player ends up with exactly $1. This is equivalent to choosing two numbers between 0 and 2019, inclusive, and giving the first player the smaller amount, the second player the difference between the larger and smaller amounts, and the third player the remaining amount.

The number of ways to choose two numbers between 0 and 2019 is (2019+2) choose 2 = 2036 choose 2 = 2,066,530.

Therefore, the probability that each player will have $1 after 2019 rings of the bell is:

2,066,530 / 2^6057 = 1/3

So the answer is (c) 1/3.

In the game where Raashan, Sylvia, and Ted each start with $1 and a bell rings every 15 seconds, the probability that after the bell has rung 2019 times, each player will have $1 is (a) 1/7.

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The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

Answer: The area is 6.5

Answer:Simplify the expression.

Exact Form:

35

8

Decimal Form:

4.375

Mixed Number Form:

4  3/8

Step-by-step explanation:

Answer:

overspeeding,

see if we calculate the speed or average speed,

it would be 159/2 which would be 79.5mph,

so as posted speed was 65mph, but the average speed was 79.5mph(Meaning most of the time she would have been above 65 mph), So,

She would have been charged with overspeeding

HOPE IT HELPS

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