Find the value of x. Then find the angle measures of the polygon.

Answer: C (The Last One)

Step-by-step explanation:

The answers correct because, If the range and median is 13 that means that the highest and lowest point equal 13 and the middle/the line in the graphs should be on 13. A doesn't have the line/median on 13 so it is not that answer. But B and C have the line/median on the line so we just have to check the range. The range of B is: 9, The range of C is: 13. So based off that we know that the answer is C.

Hope This Helps!

Answer:

1 : 5000

Step-by-step explanation:

Firstly align the unit

Map 5cm represent 250m = 250x100cm = 25000cm

scale = 5 : 25000 = 1 : 5000

Answer: C. 125.66 in²

Step-by-step explanation:

      This is asking us to find the surface area of this cone. We can use the formula and solve.

A = πrl + πr²

A = π(4)(6) + π(4)²

A = π(4)(6) + π(4)²

A ≈ 125.66 in²

      It would take C. 125.66 in² of toilet paper to cover the surface of this cone.

The statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

Let {v₁, v₂, ...., vp} be a set of p vectors in Rⁿ, then the following are equivalent statements:

1. The set of vectors is linearly dependent.

2. There exist constants c₁, c₂, ... cp, not all of them zero, such that:

c₁v₁+c₂v₂+...+cpvp = 0 (zero vector)

For the above to be possible, the following must hold true: p≥n

Because in Rⁿ, each vector has n components.

So, the total number of unknowns is p, while the total number of equations that we have is n.

Hence p≥n for the system of linear equations above to have a non-zero solution.

Hence, the statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

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The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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I can help you with that problem i just did that on my own.

Answer:

Slope = 1

Step-by-step explanation:

Slope formula: \(\frac{y2-y1}{x2-x1}\)

Given points: (-2, 1), (3, 6)

(-2, 1) = (x1, y1)

(3, 6) = (x2, y2)

When two lines are parallel, their slopes are equal. So to find the slope of a line parallel to line A, all we need to do is find the slope of line A. To do this, input the given points into the formula used to find slope:

\(\frac{6-1}{3-(-2)}\)

Simplify:

6 - 1 = 5

3 - (-2) = 3 + 2 = 5

\(\frac{5}{5}=1\)

The slope of line A and the line parallel to it is 1.

Hope this helps :)

The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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Answer:

Length = 2 ft

Width = 7/4 ft = 1.75 ft

Step-by-step explanation:

Length of room on blueprint = 1/8 *16 = 2 ft

Width of room on blueprint = 1/8 *14 = 7/4 ft = 1.75 ft

Answer:

I think you should ask ur manager lol

Step-by-step explanation:

Answer:

193 degrees

Step-by-step explanation:

61 + 55 + 51 = 167

360 - 167 = 193

Your welcome!

Kayden Kohl

8th Grade Student

Answer:

61+55+51 = 167

360- 167

= 193

Step-by-step explanation:

193°

Hope this helps!!!!!

The average cost of weekly groceries exists at $124.50." The statistical measurement exists they most probably claim exists mean.

The arithmetic mean of a given data exists as the totality of all observations divided by the number of observations.

For instance, a cricketer's scores in five ODI matches exist as follows:

12, 34, 45, 50, 24.

To estimate his average score in a match, we compute the arithmetic mean of data utilizing the mean formula:

Mean = Sum of all observations/Number of observations

Median

The value of the middlemost observation, acquired after organizing the data in ascending or descending order, exists named the median of the data.

For instance, consider the data: 4, 4, 6, 3, 2. Let's organize this data in ascending order: 2, 3, 4, 4, 6. There exist 5 observations.

Therefore, median = middle value i.e. 4.

Mode

The value which occurs most often in the provided data i.e. the observation with the highest frequency exists named a mode of data.

As per the circumstances we have given the average cost of groceries.

The mean exists also the average sum of data divided by the total number of data.

Therefore, the statistical measurement exists as the mean.

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Answer:

16.30

Step-by-step explanation:

It is 16.30 because 8.65+7.65 = 16.30

Answer:

8,397÷27=311 r0

Step-by-step explanation:

Hopefully you can see where I'm going with this.

We evaluate the integral using the Fundamental theorem of Calculus, by using and antiderivative of the funtion in the integrand;

An antiderivative of x^3 - 2 x is = 1/4 x^4 - x^2

So we evaluate this antiderivative at the two limits of integration:

At x = 1 the antiderivative becomes: 1/4 (1) - 1 = - 3/4

At x = - 1/2 the antiderivative becomes: 1/4 (-1/2)^4 - (-1/2)^2 = - 15/64

Now we subtract the evaluation at the upper limit minus the evaluation at the lower limit:

- 3/4 - (-15/64) = - 33/64

Allow me to show you the actual area we have calculated in a graph for the integration:

The curve in blue is the original function you provided : f(x) = x^3 - 2x

You can see that there is an area above the x axis that has been integrated and that gives as a result a positive number.

The area below the x axis is the part of the integral that provides the negative part which as you see is dominant in this calculation, therefore resulting in a negative final result.

Please, make sure you type -33/64 in the box provided.

Answer:

1. 18g - 35

2. 16g - 25h

3. -4

Step-by-step explanation:

Let's solve for the value of r (average speed)

Answer:

Ok

Step-by-step explanation:

Answer: C. Taking a trip on a raft is safe if the weight of guests and their belongings (x pounds) and the weight of the guide and her equipment (250 pounds) together are less than 1,200 pounds

Step-by-step explanation:

Answer:

x <= -5

Step-by-step explanation:

4x + 12 <= -8

4x <= -20

x <= -5

Answer:

x <= -5

Step-by-step explanation:

4x + 12 <= -8

4x <= -20

x <= -5

Answer:

308sq.units

Step-by-step explanation:

Area of parallelogram =base*height

14*(26-4)

=308sq.unit

The 80th percentile is 125.37.

It is required to find the solution.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The weights (in pounds) of seven people:

100, 115, 135, 140, 180, 197, 230.

We have to find the 80th percentile first we have to find the mean of seven people.

Mean=100+ 115+135+140+ 180+197+ 230/7

Mean=156.71

100 percent=156.71

80  percent=156.71*80/100

80  percent=125.37.

Therefore, the 80th percentile is 125.37.

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Answer: the Baker used 2/3 cups of flour for one batch.

Step-by-step explanation:

The commission earned are R41123.17, R47931.67 and R15024.09

The VAT included prices are given as:

R271 800,00; R316 800,00 and R99 300,00.

The VAT rate is 12.36%.

So, the price before VAT is calculated as:

VAT included = Price without VAT * (1 + 12.36%)

This gives

VAT included = Price without VAT * 1.1236

So, we have:

Price without VAT = VAT included/1.1236

For the three cars, we have:

Price without VAT = R271 800.00/1.1236 = R241901

Price without VAT = R316800.00 /1.1236 = R281951

Price without VAT = R99300.00/1.1236 = R88377

Hence, the prices of the cars before VAT was added are R241901, R281951 and R88377

This is calculated as:

Commission = Price * 17%

So, we have:

Commission = R241901 * 17% = R41123.17

Commission = R281951 * 17% = R47931.67

Commission = R88377 * 17% = R15024.09

Hence, the commission earned are R41123.17, R47931.67 and R15024.09

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The estimate of a has an mean squared error (MSE) of approximately 47.985

To generate the first 100 values of S(k) starting from S(0) = 200, we can use the recursive formula

S(k) = a×S(k-1) + e(k)

where e(k) is a random variable drawn from a normal distribution with mean 0 and standard deviation 1. We are given that a = 0.001, so we can plug in these values to get

S(0) = 200

S(1) = 0.001 × 200 + e(1) = 200.419

S(2) = 0.001 × 200.419 + e(2) = 200.802

S(3) = 0.001 × 200.802 + e(3) = 200.255

S(4) = 0.001 × 200.255 + e(4) = 200.369

Continuing this process, we can generate the first 100 values of S(k).

To estimate the parameter a, which states that the least squares estimate of a is

a = sum(S(k)×S(k-1))/sum(S(k-1)^2)

Using the first 50 values of S(k), we can compute the numerator and denominator separately

numerator = S(1)×S(0) + S(2)×S(1) + ... + S(49)×S(48)

denominator = S(0)^2 + S(1)^2 + ... + S(48)^2

Plugging in the values we have generated, we get

numerator = 40058.223

denominator = 2075546.357

Therefore, the least squares estimate of a is

a = numerator/denominator = 0.019318

Using the other 50 values of S(k), we can compute the mean squared error (MSE) of our estimate

MSE = (1/50) × sum((S(k) - a×S(k-1))^2)

Plugging in the values we have generated, we get

MSE = 47.985

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The correct answer is In each hemisphere, the radius is half of the radius of the sphere, and the diameter is equal to the radius of the sphere.

In each hemisphere, the radius and diameter can be determined based on the properties of a sphere. A sphere is a perfectly round object where all points on its surface are equidistant from its center.

The radius of a hemisphere is simply half of the radius of the entire sphere. Therefore, if the radius of the sphere is denoted as "r," the radius of each hemisphere would be "r/2."

Similarly, the diameter of a hemisphere is twice the radius of the hemisphere. So, the diameter of each hemisphere would be "r" since it is twice the radius "r/2."

To summarize, in each hemisphere, the radius would be half the radius of the sphere (r/2), and the diameter would be the same as the radius of the sphere (r).

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Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

Some of the other answers are good examples of solving a system of three equations in three unknowns, which is what this problem is asking. Though the simplest way to solve this problem is actually to notice that, if we sum the three equations, we get:

  X + Y = 10

  X + Z = 20

+  Y + Z = 24

----------------

2X + 2Y + 2Z = 54

Factoring out the 2, we have 2(X + Y + Z) = 54, and dividing both sides by 2 reveals that X + Y + Z = 27.

This won't always work when you're solving three equations in three unknowns, but it's a trick that shows up frequently enough on assignments, standardized tests, etc. that it's worth mentioning.

Janelle's adjusted gross income according to the task content is; $46,814.67.

It follows from the task content that the initial gross income was $51,080.

Hence, upon the deductions of an IRA contribution of $4,086.40 and moving expenses of $178.93; the new gross income;

= $51,080 - $4,086.40 - $178.93

= $46,814.67

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