in the northen hemisphere the ratio of tye area of the water is 2:3 work out the percentage of tge area of the northen hemisphere is land

The sample autocorrelation function (ACF) at lags h = 0, 1, 2, and 3 for the given time series is: rhoˆ(0) = 1.000, rhoˆ(1) = -0.391, rhoˆ(2) = 0.057, and rhoˆ(3) = 0.388.

To test the null hypothesis that the theoretical autocorrelation at lag h = 1 equals zero, we compare the sample autocorrelation rhoˆ(1) with critical values from the t-distribution for the desired significance level.

The sample autocorrelation function (ACF) measures the correlation between observations at different lags. In this case, we have a yearly time series with 10 years of data. To calculate the sample ACF, we compute the correlation between the original series and lagged versions of itself.

For lag h = 0, the autocorrelation is always 1 because it represents the correlation of the series with itself.

For lag h = 1, we calculate the correlation between xt and xt-1. The sample autocorrelation rhoˆ(1) is approximately -0.391.

For lag h = 2, the correlation is computed between xt and xt-2. The sample autocorrelation rhoˆ(2) is approximately 0.057.

For lag h = 3, the correlation is calculated between xt and xt-3. The sample autocorrelation rhoˆ(3) is approximately 0.388.

To test the null hypothesis that the theoretical autocorrelation at lag h = 1 is zero, we compare the sample autocorrelation rhoˆ(1) with the critical values from the t-distribution. If the absolute value of rhoˆ(1) exceeds the critical value, we reject the null hypothesis.

These calculations provide insights into the autocorrelation structure of the time series and allow us to assess the significance of the autocorrelation at lag h = 1.

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The numbers below to put them in order from least to greatest will be 6.42, 6.453, 6.486, 6.497, 6.53, and 6.66.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that the numbers are,6.42,6.53,6.497,6.66,6.453,6.486.

Ascending order refers to a list of numbers that are arranged from least to greatest. The numbers are arranged in ascending order in this form. The first figure must be less than the second figure. It is referred to in descending order when the numbers are listed from greatest to least.

Thus, the numbers below to put them in order from least to greatest will be 6.42, 6.453, 6.486, 6.497, 6.53, and 6.66.

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Answer:

x = 22

Step-by-step explanation:

(88 - x)° = 3x°

-x - 3x = -88

-4x = -88

\(x = \frac{-88}{-4} \\\\ x = 22\)

Answer:

12.5

Step-by-step explanation: add the formula

the critical value zα/2 that corresponds to an 80% confidence level is approximately 1.2816.

To find the critical value zα/2 that corresponds to an 80% confidence level, we need to determine the value of α/2.

A confidence level of 80% implies that the remaining area under the standard normal distribution curve is (1 - 0.80) = 0.20.

Since the standard normal distribution is symmetric, we divide this remaining area equally between the two tails, resulting in

α/2 = 0.10.

To find the corresponding critical value, we look up the z-score that corresponds to an area of 0.10 in the standard normal distribution table (also known as the z-table) or use a statistical calculator.

The critical value zα/2 for α/2 = 0.10 is approximately 1.2816.

Therefore, the critical value zα/2 that corresponds to an 80% confidence level is approximately 1.2816.

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Answer:

267.45 sq units

Step-by-step explanation:

Area of shaded region = Area of Square minus Area of Circle

the sides of the square are twice the radius of 9, therefore 18

A(square) = 18² = 324

A(circle) = π9² = 81π ≈ 56.55

324 - 56.55 = 267.45

Answer:

55 =x

Step-by-step explanation:

x+15=2x-40

Subtract x from each side

x-x+15=2x-x-40

15 = x-40

Add 40 to each side

15+40 = x-40+40

55 =x

Answer:

x = 55

Step-by-step explanation:

x+15=2x-40

take away x from both sides and add 40 on both sides to get the like terms on each side

55 = x

Answer:

15 inches

Step-by-step explanation:

1. Use the Pythagorean Theorem: a^2+b^2=c^2

You are already given c (the longest side) and one of the legs which could be a or b.

2. Plug the numbers into the formula and square them.

a^2 + 36^2 = 39^2

Squaring the numbers gives you: a^2 + 1,296 = 1,521

3. Subtract 1,296 from both sides and take the square root of the result.

a^2 = 225

\(\sqrt{225}\) = 15

Answer: 15

Step-by-step explanation:

The sum of the series ∑n=1 to infinity of \(\frac{1}{n} \cdot 9^n \cdot 11^n\) is a divergent series, which means it does not converge to a finite value.

To determine if the series converges or diverges, we can use the limit comparison test.

Let's compare the given series to the harmonic series, which is known to diverge. The harmonic series is given by ∑n=1 to infinity of 1/n.

We can take the limit as n approaches infinity of the ratio between the terms of the given series and the harmonic series:

\(\[\lim_{{n\to\infty}} \left( \frac{1}{n} \right) \left( 9^n \right) \left( 11^n \right) \div \left( \frac{1}{n} \right)\]\)

Using algebraic properties of limits, we can simplify this expression:

\(\lim_{{n \to \infty}} (9^n)(11^n)\)

As n approaches infinity, both 9ⁿ and 11ⁿ grow exponentially, and their product also grows exponentially without bound. This means that the ratio between the terms of the given series and the harmonic series does not approach zero, and therefore the given series does not converge.

Therefore, the sum of the series ∑n=1 to infinity of  \(\frac{1}{n} \cdot 9^n \cdot 11^n\)  is a divergent series.

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Answer:

B

Step-by-step explanation:

3(6+5x)

3x6 is 18

3x5 is 15

18+15x

To find the value of p(b), we can use the formula for conditional probability:

p(a|b) = p(a ∩ b) / p(b)

Since a and b are independent events, p(a ∩ b) = p(a) * p(b). Substituting this into the formula, we have:

0.60 = (0.60 * p(b)) / p(b)

Simplifying, we can cancel out p(b) on both sides of the equation:

0.60 = 0.60

This equation is true for any value of p(b), as long as p(b) is not equal to zero. Therefore, we can conclude that p(b) can be any non-zero value.

In summary, the value of p(b) is not uniquely determined by the given information and can take any non-zero value.

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Answer:

The total number of seats is also needed to answer the question.

Step-by-step explanation:

For example, if there were 100 seats the committee would make $560 in all, therefore having $60 to spend on equipment and costumes.

Answer:

135°

Step-by-step explanation:

To convert Radians to Degrees, you multiply the Radians amount by \(\frac{180}{\pi}\).

Thus, we get \(\frac{3\pi }{4}\) * \(\frac{180}{\pi}\)

We then get \(\frac{540\pi }{4\pi }\), which simplifies into 135 degrees.

Answer:

b

Step-by-step explanation:

Answer:

The volume of c. figure is equal to 90 cm³

Step-by-step explanation:

These are the cuboids

The volume of a cuboid = l×b×h

A. 2×6×5

=> 60 cm³

B. 8×2×4

=> 64 cm³

C. 5×6×3

=> 90 cm³

D. 3×7×2

=> 42 cm ³

so, the volume of c. cuboid is equal to 90 cm ³

Answer:

8

Step-by-step explanation:

you 17 plus square root 241

Answer:

241

Two zeros.

Step-by-step explanation:

In the general form \(ax^2 + bx + c = 0\), the discriminant D is given by:

\(D = b^2-4ac\)

If \(D < 0\), there are no real solutions

If \(D=0\), there is one solution

If \(D > 0\), there are two solutions

For \(f(x) = 4x^2-17x+3\)

D is calculated as \(17^2 - 4\times4\times3 = 241\)

Since 241 is larger than zero, there are two solutions.

Answer:

y=21/5, x=7/10

Step-by-step explanation:

Substitute y=6x

4x=6x=7

Simplify 4x+6x

10x=7

isolate x for 10x=7:

10x=7

Divide both sides by 10:

10x/10=7/10

Simplify:

x=7/10

For y=6x substitute x=7/10

y=6*7/10

Convert element to fraction:

6/1*7/10

Cross- cancel common factor:2

3/1*7/5

Multiply fractions:

3*7/1*5

Multiply the numbers:3*7=21

=21/5

y=21/5

The solutions to the systems of equations are:

y=21/5,x=7/10

In 13 days they will travel 1904 miles altogether.

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.

Multiplication in action or in progress. The multiplication of 8 and 3 is the same as the sum of 8+8+8, which is a mathematical operation that takes two numbers and returns an answer that is equal to the sum of a column in which one of the numbers is repeated the amount of times of the other number.

Given Data

they travel 238 miles a day for 13 days

1 day = 238 miles

13 days = 238 (13)

13 days = 1904

In 13 days they will travel 1904 miles altogether.

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Answer:

v = 132

Step-by-step explanation:

divide 792 by 6 to get v

Answer:

v = 132

Step-by-step explanation:

Just divide the terms by 6 and then simplify.

a. the principal (loan amount) is $5000, the rate is 8.25%, and the time is 9 months (expressed in years as 9/12). b. the student will have to pay $306.25 in interest, and the future value of the loan will be $5306.25.

a. The student must pay $306.25 in interest.

To calculate the amount of interest, we can use the formula for simple interest:

Interest = Principal × Rate × Time

In this case, the principal (loan amount) is $5000, the rate is 8.25%, and the time is 9 months (expressed in years as 9/12).

Plugging in these values into the formula, we can calculate the interest amount the student must pay.

b. The future value of the loan is $5306.25.

To find the future value, we add the interest amount to the principal amount.

The future value is calculated using the formula:

Future Value = Principal + Interest

By substituting the values of the principal ($5000) and the interest ($306.25), we can find the future value of the loan.

Therefore, the student will have to pay $306.25 in interest, and the future value of the loan will be $5306.25.

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In order to start a small​ business, a student takes out a simple interest loan for ​$ 5000 for 9 months at a rate of 8.25 ​%.

a. How much interest must the student​ pay?

b. Find the future value of the loan.

Answer:

No. It is not possible to construct a triangle with lengths of its sides 4cm, 5cm and 9cm because the sum of two sides is not greater than the third side:

5 + 4 is not greater than 9.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

10°

Step-by-step explanation:

(4q - 5) + (5q + 5) + 90° = 180°

4q + 5q + 5 - 5 + 90 = 180

9q + 90 = 180

9q = 90

q = 90/9

q = 10°

Pls like and mark as brainliest if it helps!

Answer:

10°

Step-by-step explanation:

If you look at the question you can see that it's a supplementary angle so you should:-

(4q-5)+(5q+5)+90=180°

9q+90=180°

9q=180°-90

q=90÷9

q=10°

A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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Answer: x =3

Step-by-step explanation:

Answer:

2 (w+i)

Step-by-step explanation:

Because 2xw and 2xi

I am pretty sure that is correct

Answer:  2 (w+i)

Step-by-step explanation:

We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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Answer:

$13

Step-by-step explanation:

$12.28 to the nearest tenth would be $12.

$0.82 rounded would be $1.

$12+$1=$13

The type of scale being used in the survey question asking respondents to rate Starbucks coffee on a continuum from bitter to sweet is an ordinal scale.

An ordinal scale is a type of measurement scale that allows respondents to rank or rate items in a specific order or sequence without necessarily indicating the exact magnitude of the differences between them. In this case, the survey question asks respondents to rate Starbucks coffee on a continuum from bitter to sweet, which implies that they are expected to provide their subjective assessment of the taste of the coffee and rank it based on its perceived bitterness or sweetness.

The scale used in this survey question is not a numerical or interval scale where precise measurements are made. Instead, it focuses on capturing the relative positioning of Starbucks coffee on the taste spectrum from bitter to sweet. Respondents will likely choose a point along the continuum that corresponds to their perception of the coffee's taste, but the scale does not provide specific measurements or indicate the magnitude of the differences between the ratings. Thus, it is an ordinal scale that allows for the ranking or ordering of responses based on the perceived bitterness or sweetness of the coffee.

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The given statement mathematical and statistical tools give us many ways to rate the overall performance of a system and its components is True.

Mathematical and statistical tools provide various methods to assess and evaluate the performance of a system and its individual components. These tools enable quantitative analysis , modeling , prediction , and inference , allowing us to measure and interpret the effectiveness , efficiency, reliability, and other relevant characteristics of systems and their components.

Examples of such tools include statistical analysis, regression analysis, hypothesis testing, optimization techniques, control charts, simulation, and more.

Therefore, the given statement is true.

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Complete question is below

Mathematical and statistical tools give us many ways to rate the overall performance of a system and its components.

true or false

The cost of an adult ticket is £15.25.

We can start by creating a system of two equations to represent the situation. Let's say "c" is the cost of a child ticket, and "a" is the cost of an adult ticket.

From the information given, we know that the cost of an adult ticket is £9 more than the cost of a child ticket. So we can compose the first equation as:

a = c + 9

Next, we know that the total cost of the six tickets is £55.50. There are two adult tickets and four child tickets, so the second equation can be written as:

2a + 4c = 55.50

Now that we have two equations, we can substitute the first equation into the second equation to get:

2(c + 9) + 4c = 55.50

Expanding the first equation and simplifying it, we get:

6c + 18 = 55.50

Subtracting 18 from both sides of the equation, we get:

6c = 37.50

Divide both sides of the equation by 6, and we get:

c = 6.25

So the cost of a child ticket is £6.25.

Finally, we can use the first equation to find the cost of an adult ticket:

a = c + 9

a = 6.25 + 9

a = £15.25

Therefore, the cost of an adult ticket is £15.25.

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--The given question is incomplete; the complete question is

"Mr and Mrs Smith buy tickets for themselves and their four children.

The cost of an adult ticket is £9 more than the cost of a child ticket. The total cost of the SIX tickets is £55.50

Work out the cost of an adult ticket. In your work, let c be the cost of a child ticket and a be the cost of an adult ticket."--