Use the general slicing method to find the volume of the following solid
The solid with a semicircular base of radius 15 whose cross sections perpendicular to the base and parallel to the diameter are squares The volume of the solid is __ cubic units.
(Type an exact answer)

The correct answer is it will stretch far 59.3 lakh miles .

Given that,

If a billion 10-dollar bills were placed side by side, the total value would be $1.

To find :What amount of dollars would you use? How far would the trail stretch?

A dollar bill is 2.61 inches wide.

The dimensions of a billion dollar bill are 2.61 x 1,000,000,000 inches.

Divide this by 12 to convert to feet: 2.61 x 1,000,000,000 / 12.

Divide that by 5280 to convert it to miles: 2.61 x 1,000,000,000 x 12 /5280.

(Instead of 2.61 inches, use 6.14 inches if you meant to say it from end to end, the long way.)

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Answer:

hi

Step-by-step explanation:

The following is an excerpt from A First Training in Probability by Sheldon Ross. (74) = 35 is the right response.

Total moves required are 7, as follows:

Three steps up as well as four steps right.

Remember that perhaps the number of paths equals the number of arranged 7-tuples with 3 U's and 4 R's. As instance, the word URRURRU indicates to travel up, right, up, right, right, up.

There are 7 ways to arrange these letters, 7 ways to arrange the corresponding Us, and 7 ways to arrange the comparable Rs, for a total of 7!3!4! (74).

For each NxN grid, we may write the following as a generalization of our formula: It should be noted that there's a simpler method of writing this: D = N! / (K! * (N-K))! additionally known as the binomial coefficient.

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The length of the third side should be between 5 and 17.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees.

Given John is measuring a piece of glass to fit in a triangular frame,

the two sides of the frame are 6 cm and 11 cm,

let the third side be x,

Any two sides of a triangle can be added together to have a length larger than the third side. Similar to this, any two triangle sides have length differences between them that are smaller than the length of the third side.

i.e. 11 - 6 < x < 11 + 6

5 < x < 17

Hence the third side should vary from 5 cm to 17 cm.

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Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

Answer:

0

Step-by-step explanation:

8x + 4x = 0

12x = 0

x = 0/12

x = 0

Step-by-step explanation:

[tex]8x + 4x = 0[/tex]

[tex]12x = 0[/tex]

[tex] \frac{12x}{12} = \frac{0}{12} [/tex]

[tex] \frac{12x}{12} = \frac{0}{12} [/tex]

[tex]x = \frac{0}{12} [/tex]

which is basically 0

The mean of the repair cost is 2.1 dollars and the variance of the repair cost is 0.

Let's call the number of items with no defects x. Then, we have:

x + y1 + y2 = 10

And we know that:

[tex]y1 = 10 * 0.10 = 1[/tex]

y2 =[tex]10 * 0.07 = 0.7[/tex]

x = 10 - y1 - y2 = 10 - 1 - 0.7 = 8.3

So, the expected number of items with one defect is E(y1) = 1 and the expected number of items with more than one defect is E(y2) = 0.7.

The expected repair cost is [tex]E(cost) = E(y1) * 3 * E(y2) = 1 * 3 * 0.7 = 2.1.[/tex]

The variance of the number of items with one defect is Var(y1) = E(y1^2) - [tex](E(y1))^2 = 1^2 - 1^2 = 0[/tex] and the variance of the number of items with more than one defect is [tex]Var(y2) = E(y2^2) - (E(y2))^2 = 0.7^2 - 0.7^2 = 0.[/tex]

Using the formula for the variance of a sum of independent variables, we can calculate the variance of the repair cost as:

[tex]Var(cost) = Var(y1 * 3 * y2) = 3^2 * Var(y1) * Var(y2) = 9 * 0 * 0 = 0[/tex]

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Answer: 92

Step-by-step explanation: multiply first. 9x10=90. now add the two to the answer we just got. 90+2? 92.

The probability that the spinner will stop at an even value is: P(even) = 1/3.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. This is the fundamental theory of probability, which is applied to the probability distribution.

The probability that the spinner will stop at an even value is:

P(even) = number of even numbers on spinner / total number on spinner

P(even) = 1 / 3

Hence, the probability that the spinner will stop at an even value is: P(even) = 1/3.

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The measure of the arc length of the sector will be 103.62 centimeters.

Let r be the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The central angle is 11π / 6 radian and the radius is 18 cm. Then the measure of the arc length is given as,

Arc = {(11π / 6)/2π} 2π (18)

Arc = 0.9167 x 2 x 3.14 x 18

Arc = 103.62 cm

The measure of the arc length of the sector will be 103.62 centimeters.

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Answer: 1/19, 6/1 (6)

Step-by-step explanation: To find the reciprocal of a fraction, switch the numerator and the denominator (the top and bottom of the fraction, respectively). So, simply speaking, the reciprocal of a/b is b/a. To find the reciprocal of a number, divide 1 by the number. So for example, the reciprocal of 5 would be 1/5

If the average service rate is 6 customers per hour, and assuming the negative exponential distribution is used to describe the randomness of the service time distribution. The probability that the service time will be less than or equal to 6 minutes is 0.549 [B]

The average service rate of 6 customers per hour corresponds to a mean service time of 1/6 = 0.1 hour = 6 minutes. To find the probability that the service time will be less than or equal to 6 minutes, we need to find the cumulative distribution function (CDF) of the exponential distribution evaluated at 6 minutes. The CDF of the exponential distribution is given by:

F(x) = 1 - exp(-λx)

where,

λ = 1/mean = 1/0.1 = 10. Plugging in x = 6, we get:

F(6) = 1 - exp(-10 * 6) = 1 - exp(-60) ≈ 0.549

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Therefore , the solution of the given problem of linear equation comes out to be  Defective toys, D = 33 toys.

A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous sentence is usually referred regarded as a "mathematical formula integrating multiple variables," even though y or y are different parts. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations. Y=mx+b.

Here,

If a toy company makes 550 toys in a single day, 33 of those products will be flawed.

Let D represent the faulty toys.

The sum of the toys should be T.

Given the upcoming information:

A day's worth of production results in 550 toys overall.

To calculate how many toys would be flawed after production, use the formula:

=> D = 6/100 * T

Using the parameters provided, we can calculate D as follows:

=> D = 6/100 * 550

=> D = 0.06*550

=> Defective toys, D = 33 toys.

Therefore , the solution of the given problem of linear equation comes out to be  Defective toys, D = 33 toys.

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The actual length of Organism is 0.22 mm.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure.

Given:

The size of Organisms is 2.2 cm when magnified to 100 times its actual size.

So, the actual size in cm

=  2.2/ 100

= 0.022 cm

Now, we know 1 cm = 10 mm

= 0.022 x 10

= 0.22 mm

Hence, the actual size is 0.22 mm.

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The value of the car can be, to the nearest cent, after 6 years is, 108454 cents

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

New car is purchased for 21100 dollars

The value of the car depreciates at 10.5% per year

The value of the car  after 6 years = ?

After 1 year,

Value  = 21100 -  10.5% of 21100

           = 21100 - (10.5x21100)/100

           = 21100 - 0.105x21100

           = 21100(1 - 0.105)

After 2 year,

Value  = 21100(1 - 0.105) -  10.5% of 21100(1 - 0.105)

           = 21100(1 - 0.105) - 0.105x21100(1 - 0.105)

           = 21100(1 - 0.105)(1 - 0.105)

           = 21100(1 - 0.105)²

Similarly, After n years,

Value = 21100(1 - 0.105)ⁿ

So, After 6 years,

Value = 21100(1 - 0.105)⁶

          = 21100x0.895⁶

          = 21100x0.514

          = $10845.4

It is known that,

1 dollar = 100 cents,

So, value in cents after 6 years,

⇒ 10845.4x100

⇒  108454

Hence, the value after 6 year is 108454 cents

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Answer:

3.90

hope its help

Step-by-step explanation:

y=3.87

n=d/3.90

Excute. by down interval 34.0

The distance traveled by Jasmine and Chelsea is given by the equations of speed and J = 20.4 km and C = 39 km , where T is the time taken and T = 0.6 hours

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed of Jasmine be represented as S₁ = 34 km/h

Let the speed of Chelsea be represented as S₂ = 65 km/h

Now , the distance traveled by Jasmine = J

And , the distance traveled by Chelsea = C

The measure of J = measure of C

So , the distances are the same

Let the time taken by both Jasmine and Chelsea be T

Now , Speed = Distance / Time

Substituting the values in the equation , we get

Distance D = 34T

And , distance D = 65T

Now , the total distance D = 59.4 km

So , 34T + 65T = 59.4

On simplifying the equation , we get

99T = 59.4

T = 0.6 hours

Hence ,

The distance traveled by Jasmine and Chelsea are 20.4 km and 39 km respectively

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Answer:

The unit rate of pages per hour is 39 pages and the unit rate of hour per pages is 1/39 hours

Step-by-step explanation:

We can solve this problem using proportion.

From the question; Leo reads 13 pages in 1/3 hours.

The first part of the question is to find the unit rate for pages per hour.

To find this;

Let x = the number of pages read in 1 hour

13 pages = 1/3 hours

   x         = 1 hour

Cross-multiply

1/3 ×  x = 13 × 1

= 13

Multiply both-side of the equation by 3

 ×  3   =   13× 3

x = 39 pages

Therefore, the  number of pages read in 1 hour is 39 which implies the unit rate for pages per hour is 39

For the second part of the question, we are to find the unit rate for hours per page, that is; how many hours can he use to read a page.

Let x = the number of hour use to read a page

13 pages   =   1/3 hour

1 pages    =  x

Cross-multiply

13x = 1/3

To get the value of x, we will divide both-side of the equation by  1/13

13x ×    =   ×  

x   =   hour

Therefore, the number of hour taken to read 1 page is    , which implies the unit rate of hours per page is  

The final balance of the bank statement was $880.88.  This amount reflects deposits, withdrawals, fees, and interest accrued during the statement period.

The final balance of a bank statement is the amount of money that is in the account after all deposits, withdrawals, fees, and interest have been accounted for during the statement period. To calculate the ending balance, start with the beginning balance and then add any deposits that were made during the statement period. Then, subtract any withdrawals, fees, and interest that were charged during the statement period. The final balance will be the amount that remains after all transactions have been accounted for. In this example, the ending balance was $880.88.

The complete question:

what was the ending balance? a sample bank statement.

A) $597.35

B) $715.26

C) $751.58

D)$880.88.

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The radical expression whose value is a whole number will be √2, √3, √4, √5, √6, √7, √8, √9, √10, ∛2, ∛3, ∛4, the fourth root of 2 and 3, the fifth root of 2, and the sixth root of 2.

If the power of the variable "a" is b/c. Then the simplest radical form of the expression will be given as,

[tex]\rm \left ( a \right )^{\rm \frac{b}{c}} = \rm \sqrt[\rm c]{\rm a^b}[/tex]

Using a list of the radical expressions for numbers between 1 and 100 will reduce, create a list of the reduced radical values.

The number whose square lies between 1 to 100 is given as,

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

The number whose cube lies between 1 to 100 is given as,

2³ = 8

3³ = 27

4³ = 64

And some other values are given as,

2⁴ = 16, 2⁵ = 32, 2⁶ = 64, and 3⁴ = 81

The radical expression whose value is a whole number will be √2, √3, √4, √5, √6, √7, √8, √9, √10, ∛2, ∛3, ∛4, the fourth root of 2 and 3, the fifth root of 2, and the sixth root of 2.

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The solution of the quadratic equation is [tex]x = \dfrac{5\pm\sqrt5}{2}[/tex].

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the quadratic equation is x²-5x+5=0. The equation can be solved as below:-

x²-5x+5=0

a = 1 , b = -5 , c = 5

[tex]x = \dfrac{-b \pm\sqrt{(b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{5\pm\sqrt{25 - 4\times1\times5}}{2}[/tex]

[tex]x = \dfrac{5\pm\sqrt5}{2}[/tex]

The value of x for the quadratic equation will be [tex]x = \dfrac{5\pm\sqrt5}{2}[/tex].

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Time taken by Miguel car to drive is, 1.6 hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.

We know that;

⇒ Speed = Distance / Time

⇒ Time = Distance / Speed

Here, Speed = 53 miles per hour

Distance = 84.8 miles

Hence, We get;

⇒ Time = 84.8 / 53

⇒ Time = 1.6 hour

Thus, Time taken by Miguel car to drive is, 1.6 hour.

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a) A histogram representing coat color for the initial colony your graph is given below.

b) Due to the fact that beach mice, which often have light coast colors, outnumber Oldfield colonizers by a factor of several, making dark coat colors less prevalent as time passes.

a) It's critical to understand the geographic distribution of Oldfield mice prior to the histogram presentation. Santa Rosa Island is classified into two primary geographic locations: inland and coastal, although having various different geographical settings.

Oldfield mice come in a variety of colors; fawn-colored (medium or dark) individuals are typically found in inland regions, whilst lighter or white individuals are found in coastal regions. As a result, Santa Rosa Island should have more colored mice and the beach should have more light-hued mice.

b) Oldfield colonists have predominantly dark coat colors, according to the image. The second histogram shows the coast color of the population following 6000 years of Oldfield and beach mouse hybridization. This is due to the fact that beach mice, which often have light coast colors, outnumber Oldfield colonizers by a factor of several, making dark coat colors less prevalent as time passes.

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The complete question is:

Imagine you have a time machine and are able to go back in same so 6,000 years ago. You are standing on newly formed Santa Rosa Island, a barrier island off the coast of Florida that consists entirely of beach habitate. You see that a large and genetically diverse mainland population of oldfield mice have just colonized the island Using all of the information in this case study, answer the following questions and justify your answers with reasoning Questions ists on the island. Write a brief statement justifying.

1. Draw a histogram representing coat color for the initial colony your graph. Describe the population in terms of the proportion of light, medium, and dark individuals.

2. Assuming that this population successfully colonizes the island and persists until the present, add a histogram of the 21" century island population to your figure (make sure that they can be easily compared to each other) Describe the population in terms of light, medium, and dark individuals. Write a brief statement justifying your graph and answer

The length of the smallest part of the line segment is 12 cm.

The line segment of length 96 cm is divided into 3 parts with the ratio of 2:9:5. The given ratio is a part-to-whole ratio. We can find the lengths of the parts by applying the formula:

Part = Whole × Ratio

Part 1 = 96 cm × (2/16)

= 12 cm

Part 2 = 96 cm × (9/16)

= 54 cm

Part 3 = 96 cm × (5/16)

= 30 cm

Therefore, the length of the smallest part of the line segment is 12 cm.

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The gametes that can be produced by individual bgbg are B, and G, and the gametes that the offspring can produce are BB, BG, BG, BG, BG, BG, BG, and GG.

a. bgbg

The individual bgbg can produce gametes that are either B or G, as they carry one allele of each. Therefore, the gametes that can be produced by this individual are:

B, G

b. bbgg x bbgg

The individuals bbgg x bbgg are heterozygous for two different traits (B and G). In this cross, each parent can contribute either a B or a G allele to the offspring.

There are four possible combinations of gametes for each parent, for a total of 16 possible offspring combinations:

   BB x BB = B offspring: BB, BG, BG, BB

   BB x BG = B offspring: BB, BG, BG, BG

   BB x GG = B offspring: BG, BG, BG, BG

   BG x BG = B offspring: BG, BG, BG, BG

   BG x GG = G offspring: BG, BG, BG, GG

   GG x GG = G offspring: GG, GG, GG, GG

So, the gametes that can be produced by the offspring are:

BB, BG, BG, BG, BG, BG, BG, and GG

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The study is a randomized controlled trial (RCT) study.

In an RCT study, participants are randomly assigned to either the treatment group or the control group. The treatment group receives the intervention (in this case, one of the two surgery procedures) being studied, while the control group does not receive the intervention.

The participants are then followed to observe the outcome of interest (in this case, the hours to recovery after surgery).

The goal of an RCT study is to determine if the intervention has an effect on the outcome. By randomly assigning participants to the treatment and control groups, any observed differences in the outcome between the two groups can be attributed to the intervention.

This helps to control for other factors that may influence the outcome and reduces the risk of bias in the results.

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The surface area of the right prism is equal 142 square inches.

Surface area is the sum of the areas of all faces in a solid, herein we find the case of a right prism with six rectangular faces. The area formula for a rectangle is shown below:

A = w · l

Where:

Now we calculate the surface area of the rectangular prism:

A = 2 · (7 in) · (3 in) + 2 · (5 in) · (7 in) + 2 · (3 in) · (5 in)

A = 42 in² + 70 in² + 30 in²

A = 142 in²

The right prism has a surface area of 142 square inches.

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The College Board reported that in a recent year, the mean mathematics SAT score was 514 and the standard deviation was 118. A sample of 65 scores was chosen.

a) The probability that the sample mean score is less than 500 can be found by using the mean and standard deviation of the SAT scores population. The formula to calculate this probability can be found in 3.

c) The 80th percentile of the sample scores is also not mentioned in the search results. To find the 80th percentile, a probability distribution of the sample mean scores must be created and then solved for the desired percentile.

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The selling price of the bags of almonds that yields a profit of 45% is $420.5

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

The formula for profit is given by:

Profit = [(selling price - cost price) / cost price] * 100%

At the nut farm, the cost price of a bag of almonds is R290. It is sold with a profit of 45%. Hence, substituting:

45% = [(selling price - 290)/290] * 100%

0.45 = (selling price - 290)/290

selling price - 290 = 130.5

selling price = 420.5

The selling price is $420.5

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