The table shows the latitude and longitude of three cities. In which hemisphere is each city located?


| City | Latitude | Longitude

| A | 37°59'N | 84°28'W

| B | 34°55'N | 138°36'E

| C | 64°4'N | 21°58'W

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer: The answer to this question is: the mass of the metal in pounds is 1.5 grams.

Step-by-step explanation: Search a free gram to pounds calculator and input your given input or output into there for further help if needed.

Hope this helps

The mass of the metal in pounds is 1.5 pounds.

A unit conversion expresses the same property as a different unit of measurement.

Given that, a scientist measures the mass of a metal to be 682 grams

682 grams = 0.682 kg

0.682 kg = 0.682*2.2 = 1.5 pounds.

Hence, The mass of the metal in pounds is 1.5 pounds.

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28 and 45 centimeters, because they are the two shortest sides.

Option D is the correct answer.

We have,

In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.

The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

In this case,

The side lengths given are 28 centimeters, 45 centimeters, and 53 centimeters.

To determine the lengths of the legs, we need to identify the two shorter sides.

In this triangle,

28 centimeters and 45 centimeters are the two shorter sides, and 53 centimeters are the hypotenuse.

We can verify that 28 and 45 centimeters are the lengths of the legs by using the Pythagorean theorem:

28² + 45² = 784 + 2025 = 2809

53² = 2809

The equation is satisfied, indicating that 28 and 45 centimeters are indeed the lengths of the legs in this right triangle.

Thus,

28 and 45 centimeters, because they are the two shortest sides.

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Answer:

they are talking about the congruent sides of the figures.

Step-by-step explanation:

both are the same triangle, just rotated a little differently... image you rotated them to look the same direction.... angles cd would look like the same angles as JL. same with CE and JM. just imagine the triangles are facing the same direction and then match up the same looking angle letters....

im sorry, it's hard to explain over writting..... :l

In summary, when using the first-order, centered method with a step size of Ax=0.1, the numerical estimate of the derivative of the function f(x) = x^3 + x^2-3x-1 at x=-1 is approximately -2.00. The analytical derivative of the function is f'(x) = 3x^2+2x-3.

To estimate the derivative numerically, we can generate a table of ordered values for the function f(x), its analytical derivative f'(x), and the numerical estimate of the derivative. The first-order, centered method approximates the derivative as the difference in function values between x+Ax and x-Ax, divided by twice the step size.

In this case, we choose a step size of Ax=0.1. We calculate the function values at x=-1+Ax and x=-1-Ax, and find the difference. Dividing this difference by twice the step size gives us the numerical estimate of the derivative at x=-1. Using this method, the numerical estimate is approximately -2.00, which matches the analytical result.

In conclusion, the numerical estimate of the derivative of the function f(x) = x^3 + x^2-3x-1 at x=-1, obtained using the first-order, centered method with Ax=0.1, is approximately -2.00. This estimate is in close agreement with the analytical derivative f'(x) = 3x^2+2x-3, indicating a reasonable approximation of the true derivative value.

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When using the first-order, centered method with a step size of Ax=0.1, the numerical estimate of the derivative of the function f(x) = x^3 + x^2-3x-1 at x=-1 is approximately -2.00.

The analytical derivative of the function is f'(x) = 3x^2+2x-3.To estimate the derivative numerically, we can generate a table of ordered values for the function f(x), its analytical derivative f'(x), and the numerical estimate of the derivative. The first-order, centered method approximates the derivative as the difference in function values between x+Ax and x-Ax, divided by twice the step size.

In this case, we choose a step size of Ax=0.1. We calculate the function values at x=-1+Ax and x=-1-Ax, and find the difference. Dividing this difference by twice the step size gives us the numerical estimate of the derivative at x=-1. Using this method, the numerical estimate is approximately -2.00, which matches the analytical result.

The numerical estimate of the derivative of the function f(x) = x^3 + x^2-3x-1 at x=-1, obtained using the first-order, centered method with Ax=0.1, is approximately -2.00. This estimate is in close agreement with the analytical derivative f'(x) = 3x^2+2x-3, indicating a reasonable approximation of the true derivative value.

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Answer:

I beleive the answer is 9

(sorry if its wrong)

Answer:

50x

Step-by-step explanation:

5x(7x + 3)

(7x + 3)= 10x

5x x 10x=50x

Answer:

2(11x+4)+2(7x)=(22x+8)*14x=308x^{2}+112x

2(9x+4)+2(5x)=(18x+8)*10x=180x^{2}+80x

308x^{2}+112x-180x^{2}-80x=128x^{2}+32x- the area that is not covered

Step-by-step explanation:

Answer:

135 degree

Step-by-step explanation:

total sum of angle = (8-2) * 180 = 1080

each angle = 1080/8 = 135 degree

Answer:

The ordered pairs are;

A(3, 4), B(-3, 2), C(-2, -4), D(6, -3), and E(0, 0)

Step-by-step explanation:

An ordered pair is the coordinate definition of a point on a coordinate plane that gives the x and y values of the coordinate of the point within parenthesis separated by a comma

An ordered pair provides a visual designation of points located on a Cartesian plane.

The first pump fills one tank in 2 hours, so it works at a unit rate of (1 tank)/(2 hours) = 0.5 tanks/hour.

The second pump takes 3 hours to fill the same tank, so it works at a rate of (1 tank)/(3 hours) ≈ 0.33 tanks/hour.

Working together, the pumps can fill one tank at a rate of

(1/2 + 1/3) tanks/hour = (3/6 + 2/6) tanks/hour = 5/6 tanks/hour ≈ 0.83 tanks/hour

Then the time it takes both pumps to fill one tank is

(1 tank) / (5/6 tanks/hour) = 6/5 hours = 1.2 hours = 72 minutes

The triangle ABC has a surface area of 17.7 square units. Rounding to the nearest tenth of a square unit,

Heron's Formula can be used to calculate the triangle ABC's area. The equation reads as follows:

A = √[s(s-a)(s-b)(s-c)]

Where s is one-half of the triangle's circumference and a, b, and c are its three sides.

By summing the triangle's sides, we can determine the perimeter:

P = a + b + c

The formula below is used to get the other half of the perimeter.

s = P/2

For the triangle ABC, we have the sides a=3, b=5, and c=4.

Therefore, half of the perimeter is s = 8.

Now, Heron's formula can be used to determine the triangle ABC's surface area:

A = √[s(s-a)(s-b)(s-c)]

= √[8(8-3)(8-5)(8-4)]

= √[8(5)(3)(4)]

= 17.7 square units

Therefore, the triangle ABC has a surface area of 17.7 square units, Rounding to the nearest tenth of a square unit.

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Using the bisection concept, it is found that the congruent angle to <GFH is given by:

d. <GFC.

A bisection of an angle is when a line splits an angle into two equal angles, that is, it splits by half the original angle.

The two resulting angles will be congruent, that is, they will have the same measure.

For this problem, we have that line CH bisects angle GFH, hence, from the explanation above, we have that:

Angles GFH and GFC are congruent, as due to the bisection, they both measure 90º.

Thus option D is correct, which is the one that lists angle GFC as congruent to angle GFH, that is, both angles having the same measure, which in this case is of 90º.

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a. Proportions in both the left-hand and right-hand tails tend to be relatively small.

The correct answer is: a. Proportions in both the left-hand and right-hand tails tend to be relatively small. This is because a normal distribution is symmetric and bell-shaped, with the majority of the data concentrated around the mean. As a result, the tails of the distribution have fewer data points and smaller proportions compared to the center. This is because a normal distribution is symmetric and bell-shaped, with the majority of the data concentrated around the mean.

So, a. Proportions in both the left-hand and right-hand tails tend to be relatively small.

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer: the correct answer is A. Between 0 and 90

If an angle is between 0 and 90 it is acute

If an angle is EXACTLY 90 it is a right angle

If an angle is between 90 and 180 it is obtuse angle

If it's 360 then it is a full circle

Answer:

Hello! answer: 1/6

Step-by-step explanation:

The probability of landing on D is 1/6 because there are 6 spots on the spinner you can land on A, B, C, D, E, and F and there is only 1 section labelled "D" therefore the probability of landing on D is 1/6 hope that helps!

The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.

c. Responsible, Accountable, Consult & Inform matrix

The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.

The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.

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Answer:

its option 3;92667

Step-by-step explanation:

6 and 8 is 68 so 9 2667 its 92667

Answer:

Area = 56mm²

Step-by-step explanation:

Area of a trapezium/trapezoid

\( = \frac{1}{2} \times h \times (a + b)\)

\( = \frac{1}{ 2} \times 7 \times (4 + 12)\)

\( = \frac{7}{2} \times16\)

\( = 7 \times 8\)

\( = 56\)

Check the picture below.

Answer:

276 hope this helped :)

Step-by-step explanation:

First, we convert 1/2% to a decimal.

Similarly:

The stem plot for the given data is 3 4 5 6.

A stem and leaf plot, also known as a stem and leaf diagram, is a technique to arrange data such that it is simple to see how frequently certain sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.

Arranging the given data in ascending order,

30, 34, 34, 35, 35, 36, 39, 39, 40, 40, 41, 42, 42, 43, 43, 43, 44, 46, 46, 48, 49, 49, 50, 52, 53, 58, 59, 61, 66, 68

The stem plot = 3 4 5 6

Calculated Statistics:

Minimum:30

Maximum:68

Range:38

Count:30

Sum:1365

Mean:45.5

Median:43

Mode:43

Standard Deviation:9.616

Variance:92.47

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Answer:

False

Step-by-step explanation:

32 + 6 - 31 = 7 not -7

Answer:

32+6-31 does not equal -7

Step-by-step explanation:

32+6=38

38-31=7

Hope this helps

The value of SSE (sum squared error) is 40 in the given analysis of the variance problem if SST = 120 and SSR = 80. Option b is correct.

Here the words SSE means Sum Squared Error, SST means Sum of Squares Total and SSR means Sum of Square Regression.

In the SSE accuracy measure, errors are squared and then added. It is used when the data points are similar in magnitude.

The formula is SST = SSR + SSE ⇒ SSE = SST - SSR

The given values of the analysis of the variance problem are

SST = 120; SSR = 80

Then, the value of SSE = SST - SSR = 120 - 80 = 40

So, option b is correct.

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Answer:

Length = 10 & width = 3

Step-by-step explanation:

Perimeter = Length + Length + Width + Width

26 = 2Length + 2 Width

26 = 2 ( Length + Width )

13 = Length + width

13 - Length = Width EQUATION 1

Area = Length X Width

30 = Length X ( 13 - Length )

30 = 13Length - Length ^2

Length ^2 - 13Length + 30 = 0

( Length - 3 )( Length - 10 )

Length = 3 or Length = 10

Therefore Length = 10

From equation 1

13 - Length = Width

13 - 10 = width

width = 3

Answer:

1397.970007

Step-by-step explanation:

Answer:

The properties of trapezoid apply by definition (parallel bases).

The legs are congruent by definition.

The lower base angles are congruent.

The upper base angles are congruent.

Any lower base angle is supplementary to any upper base angle.

The diagonals are congruent.The bases are parallel by definition.

Each lower base angle is supplementary to the upper base angle on the same side.