Astronomers have noticed that the number of visible sunspots varies from a minimum of about 10 to a maximum of about 110 per year. Further, this variation is sinusoidal, repeating over an 11 year period. If the last maximum occurred in 2003, write both a sine and a cosine function which models this phenomenon in terms of the time t which represents the year. How many visible sunspots were expected in the year 2020?

The percentage of the data set within the range of 10 to 22 is 68.26%.

To find the percentage of the data set for a normally distributed variable with a mean of 16 and a standard deviation of 6, we can use the concept of z-scores and the standard normal distribution.

First, we need to convert the values to z-scores, which measure the number of standard deviations a particular value is from the mean. The formula for calculating the z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

In this case, we want to find the percentage of the data set within a certain range. Let's say we want to find the percentage of the data set between 10 and 22. We can calculate the z-scores for these values:

[tex]z1 = (10 - 16) / 6 = -1.0[/tex]

[tex]z2 = (22 - 16) / 6 = 1.0[/tex]

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between these z-scores. The area between -1.0 and 1.0 represents the percentage of the data set within the range of 10 to 22.

Looking up the z-scores in the standard normal distribution table, we find that the area between -1.0 and 1.0 is approximately 0.6826. This means that approximately 68.26% of the data set falls within the range of 10 to 22.

Therefore, the percentage of the data set within the range of 10 to 22 is 68.26%.

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Answer:

Your answer would be the 4th answer choice.

Step-by-step explanation:

First step would be solve for each:

So that means for the United States it would be:

3*10^8

Solve 10^8

10^8= 100,000,000

So that makes the equation be

3*100,000,000

Which equals:

300,000,000

Next is to solve for Germany:

8*10^7

Solve 10^7

10^7=10,000,000

So that makes the equation be

8*10,000,000

Which equals:

80,000,000

Then divide 300,000,000 by 80,000,000 and that gets you 3.75 which is about 4. So your answer would be the 4th answer

Answer: Her mom's candle had the stronger scent peppermint is very strong it makes your eyes water

Step-by-step explanation:

Answer:

y=3/2x+-5

Step-by-step explanation:

slope int formula is y=mx+b.

mx is the slope

b is the y int

Answer

2:10

It would be 2 to 10 candles that remained

10 gone

2 remain

2:10

Let WHAT PERCENT = x.

48x = 35

x = 35/48

x = 0.7291666667

Round to two decimal places.

x = 73%

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Answer:

Hello! I hope I’m correct!! :)

Step-by-step explanation:

#7.   7 x 7 ( = 49 )

#8.   8 x 8 x 8 x 8 ( = 4096 )

#9.    2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 ( = 256 )

#10.  4 x 4 x 4 ( = 64 )

#11.   5 x 5 x 5 x 5 x 5 ( = 3125 )

#12.  7 x 7 x 7 ( = 343 )

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Answer:

142 degree

Step-by-step explanation:

x=142degree(being external alternate angles)

The cost is the same for each location when the cost function is equal. Therefore, we can equate the cost functions for both the locations to find out the number of units per week at each retail outlet:

Location 1:Cost function:

[tex]C1=300(\frac{500}{x1})+200(\frac{500}{y1})+500000[/tex]

where x1 and y1 are the number of units supplied to Retail Outlets 1 and 2, respectively. Location 2:Cost function:

[tex]C2=400(\frac{500}{x2})+150(\frac{500}{y2}) +750000[/tex]

where x2 and y2 are the number of units supplied to Retail Outlets 1 and 2, respectively . To find out the number of units per week at each retail outlet when the cost is the same using both locations, we need to equate the cost functions and solve for the variables as follows:

[tex]300(\frac{500}{x1})+200(\frac{500}{y1}) +500000=400(\frac{500}{x2})+150(\frac{500}{y2})+750000[/tex]

Simplifying and rearranging terms, we get:

[tex]\frac{60}{x1} +\frac{40}{y1} = \frac{80}{x2} +\frac{30}{y2} -5000[/tex]

..(1)Also, we know that the total number of units supplied to both retail outlets is 500 per week, i.e.,

[tex]x1 + y1 = 500 and x2 + y2 = 500[/tex]

Solving the above equations (1) and (2), we get

[tex]:x1 = 250, y1 = 250, x2 = 400,[/tex]

and y2 = 100Therefore, the number of units per week at each retail outlet is as follows:For Location 1, Retail Outlet 1 and 2 get 250 units each per weekFor Location 2, Retail Outlet 1 and 2 get 400 and 100 units per week, respectively.

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Answer: its 10

Step-by-step explanation:4.80 divide by 6 is 0.8 so each is 0.8 0.8x10 is 8

so the answer is 10

Austin can buy 10 oranges for $8 as the unit rate for orange is $0.8.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A grocery store sells a bag of 6 oranges for $4.80.

So, The cost of one orange is,

= $(4.80/6).

= $0.8.

Therefore, For $8 Austin can buy, (8/0/8) = 10 oranges.

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Answer:

368.1

Step-by-step explanation:

122.7 x 3 = 368.1

Answer:

368.1 calories

Step-by-step explanation:

122.7 x 3

A percentile tells you what percentage of a distribution scored below a specific score and hence, option C) is the correct answer.

A percentile is a measure used to indicate the value below which a given percentage of observations in a group of observations falls. For a set of data, a percentile is the number below which a certain percentage of data fall.

In other words, a percentile is the percentage of observations that fall below a particular score in a distribution. The percentile rank of a score represents the percentage of people who have lower scores.

When it comes to percentile scores, there is a range of scores that are associated with a percentile rank, and each score in that range corresponds to the same percentile rank.

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Answer:

10  7/12

hope this is right

Step-by-step explanation:

4  5/6 = 29/6 as an improper fraction

5  3/4 = 23/4 as an improper fraction

you times the two denominators together = 24

you times 29 by 4 = 116

you times 23 by 6 = 138

you add 116 and 138 = 254

you put this over 24 =  254/24

simplify this = 127/12

you make this a mixed number = 10 7/12

the answer is 10 7/12

Answer:

The width is 9 cm

Step-by-step explanation:

Since the formula for the volume of a rectangular prism is,

Volume = (Height)(Length)(Width)

So,

Width = (Volume)/((Height)(Length))

Now, Volume = 2691, Height = 23, Length = 13, so, we get for the width,

Width = (2691)/((23)(13))

Width = 117/13

Width = 9

So the width is 9 cm

Answer:

9 cm

Step-by-step explanation:

Let's use the formula for the volume of a rectangular prism:

Volume = length * width * height

We know that the volume is 2,691 centimeters, the length is 13 centimeters, and the height is 23 centimeters.

We can plug these values into the formula to find the width:

2,691 = 13 * width * 23

2691=299*width

width=2691/299

width = 9 centimeters

Therefore, the width of the rectangular prism is 9 centimeters.

Answer:

2 multiply by six is 12

Step-by-step explanation:

this answer is not correct

the answer would be -12 as the biggest no. is 6 and it contains - sign

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if not possible the just thank and vote

Marguerite drew a net of a polyhedron that has one square face and four triangular faces. We can conclude that Marguerite drew a net for a square pyramid.

From the information given in the problem, we know that Marguerite's net has one square face and four triangular faces. This means that the polyhedron that the net represents must have five faces in total. We can use the number of faces, along with the fact that the faces are either triangles or squares, to determine which polyhedron it is.

A triangular prism has two triangular faces and three rectangular faces. Therefore, it is not possible that Marguerite drew a net for a triangular prism.

A triangular pyramid has one triangular face and three triangular faces. Therefore, it is not possible that Marguerite drew a net for a triangular pyramid.

A square pyramid has one square face and four triangular faces. Since this is the only option with one square face and four triangular faces, it must be the polyhedron that Marguerite drew a net for.

A rectangular prism has six faces, and none of them are triangles. Therefore, it is not possible that Marguerite drew a net for a rectangular prism.

Therefore, we can conclude that Marguerite drew a net for a square pyramid.

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The volume of the shapes are;

1. 228 in³

2. 1140 in³

3. 5.94 ft³

4. 126 yd³

The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space.

The volume of a cuboid is expressed as;

V = l × b × h

1. Total volume = 14×3× 4 ) + (4× 5× 3)

= 168 + 60

= 228 in³

2. Total volume = 25×4 × 5) + (16×8×5)

= 500 + 640

= 1140 in³

3. Total volume = 0.8 × 1.2 × 1.5 ) + (3 × 1.5 × 1)

= 1.44 + 4.5

= 5.94 ft³

4. Total volume = (4 × 6 × 5 ) + ( 1× 3 × 2)

= 120 + 6

= 126 yd³

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1. The exact answer for the total surface area of the right circular cylinder is 5986.4 square feet

2. the exact answer for the total surface area of the right circular cone is 10408.4 square feet.

1. The formula to find the total surface area of the right circular cylinder with radius r and height h is:

2πr(h + r)

So, substituting r = 17 and h = 39, we get the total surface area of the right circular cylinder as follows:

2πr(h + r)

= 2π(17)(39 + 17)

= 2π(17)(56)

= 1904π

Therefore, the exact answer for the total surface area of the right circular cylinder is 1904π square feet. Rounding off to the nearest tenth, we get the approximation as: 1904π ≈ 5986.4 square feet.

2. The formula to find the total surface area of the right circular cone with radius r and height h is:

πr(l + r),

where l is the slant height of the cone and is given by:

l = [tex]\sqrt{(r^2 + h^2)}[/tex]

So, substituting r = 39 and h = 52, we get the total surface area of the right circular cone as follows:

πr(l + r)

= π(39)[tex]\sqrt{[((39^2 + 52^2)) + 39] }[/tex]

= π(39)(85) = 3315π

Therefore, the exact answer for the total surface area of the right circular cone is 3315π square inches. Rounding off to the nearest tenth, we get the approximation as: 3315π ≈ 10408.4 square inches.

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Answer:

yeah noooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

The graph of g(x) = f(x) - 3 is the graph of f(x) = x translated 3 units down.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point either up, down, left or right of a coordinate plane.

The graph of g(x) = f(x) - 3 is the graph of f(x) = x translated 3 units down.

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Answer:

it's A

got it right on Plato edmentum

Step-by-step explanation:

Answer:

343

Step-by-step explanation:

7 to the power of 3 = 343

Otherwise known as 7 x 7 x 7 = 343

Answer:

343

Step-by-step explanation:

Sorry its so late, but here is the correct answer:

343

Step-by-step explanation:

7 to the power of 3 = 343

Otherwise known as 7 x 7 x 7 = 343

Hope this helps :)

The correct answer is 53 weeks of data are included in this frequency distribution.

To determine the number of weeks of data included in the frequency distribution, we need to sum up the frequencies for each category.

Number Sold     Frequency

01-05               4

06-10               12

11-15               14

16-20               12

21-25               11

Adding up the frequencies:

4 + 12 + 14 + 12 + 11 = 53

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Answer:

it shows that it's B

the gray check mark

The equation for demand is p = -0.00054x + 7 (where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price) and the equation for cost is C(x) = 600 + 2x - 0.00001x2.

To maximize its profits, the number of copies Phonola Record Industries should produce each month can be found by calculating P(x) and then finding its maximum value by differentiating it with respect to x, setting the derivative equal to zero, and then solving for x. The maximum value of P(x) will give the optimal quantity. This optimal value should be rounded to the nearest integer.

The demand for Walter Serkin's recording of Beethoven's Moonlight Sonata, produced by Phonola Record Industries, is determined by the unit price in dollars and the number of discs demanded. The relation between these variables can be given by the demand equation p = -0.00054x + 7, where p denotes the unit price in dollars and x is the number of discs demanded. The cost of producing these discs can be given by the cost equation C(x) = 600 + 2x - 0.00001x2, where x is the number of copies produced per month.Since the revenue generated is determined by the unit price and the number of copies sold, R(x) = px, and the profit is given by P(x) = R(x) - C(x). To maximize profits, the optimal number of copies Phonola should produce can be obtained by finding the maximum value of P(x).To obtain the optimal number of copies Phonola should produce, we must first calculate the profit function P(x), which is the difference between the revenue and cost functions. This is given by:P(x) = R(x) - C(x)P(x) = px - (600 + 2x - 0.00001x2)P(x) = -0.00054x2 + 5x - 600To find the optimal value of x, we differentiate P(x) with respect to x and set it equal to zero: dP(x)/dx = -0.00108x + 5 = 0x = 4629Rounding this value to the nearest integer gives us 4630 as the optimal number of copies that Phonola should produce.

The optimal number of copies that Phonola should produce to maximize its profit is approximately 4630 copies per month.

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Week 3 is the answer

When someone just starts a company and adds $60,000 cash to start, it will be considered beginning cash for the cash flow statement. The cash flow statement presents an overview of the cash that comes in and goes out of a company. It categorizes the cash flows into three main categories:

operating activities, investing activities, and financing activities. The cash flow statement provides information regarding the amount of cash that is flowing in and out of the company. The statement of cash flows is used to determine a company's liquidity and the ability to meet short-term obligations.The cash flow statement's beginning cash balance should be the amount of cash that the company had at the beginning of the reporting period. In this case, the $60,000 would be the beginning cash balance for the cash flow statement.

When someone just starts a company and adds $60,000 cash to start, it will be considered beginning cash for the cash flow statement. The cash flow statement is a critical financial statement that presents an overview of the cash that comes in and goes out of a company. It categorizes the cash flows into three main categories: operating activities, investing activities, and financing activities. The cash flow statement provides information regarding the amount of cash that is flowing in and out of the company. The statement of cash flows is used to determine a company's liquidity and the ability to meet short-term obligations.The cash flow statement's beginning cash balance should be the amount of cash that the company had at the beginning of the reporting period. In this case, the $60,000 would be the beginning cash balance for the cash flow statement. The beginning cash balance is important because it sets the stage for the cash flows that will be presented in the statement. The cash flow statement's beginning cash balance is calculated by taking the previous reporting period's ending cash balance. The ending cash balance from the previous reporting period would be $0 since the company did not exist yet. The $60,000 would, therefore, be the beginning cash balance for the cash flow statement.

To summarize, when someone starts a new company and adds $60,000 cash to start, the $60,000 will be considered beginning cash for the cash flow statement. The cash flow statement is a critical financial statement that provides information on the cash that comes in and goes out of a company. The beginning cash balance for the cash flow statement is the amount of cash that the company had at the beginning of the reporting period. Since the company did not exist in the previous reporting period, the $60,000 will be the beginning cash balance for the cash flow statement.

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