The deck off the back of the house creates a right triangle. The side of the deck resting against the house is the hypotenuse of the triangle. You decide to put new stain on the wood. One edge of the deck measures 15 feet and the other edge of the deck measures 20 feet. Answer the follow- ing questions: 1. What is the area of the deck? 2. Each gallon of stain covers a maximum of 350 square feet. How many do you need? 3. If each gallon costs $36.98, what will the project cost you?​

The probability that the hospital's capacity will be exceeded is approximately 0.1095.

Given that 25 people have been exposed to a particular disease.

Each one independently has a 40% chance of contracting the disease. A hospital has the capacity to handle 10 cases of the disease.

To find:What is the probability that eight people will contract the disease?What is the probability that the hospital's capacity will be exceeded?

Solution:Let X be the number of people who contract the disease. Then X has a binomial distribution with parameters n=25 and p=0.40

(i) Probability that eight people will contract the disease:

P(X=8) = (25C8) (0.4)^8 (0.6)^17≈ 0.1460

(ii) Probability that the hospital's capacity will be exceeded:

P(X > 10) = 1 - P(X ≤ 10)P(X ≤ 10) = Σ (25Ck) (0.4)^k (0.6)^(25-k) for k = 0 to 10

Using a calculator or software, we get:P(X > 10) = 1 - P(X ≤ 10) ≈ 1 - 0.8905 ≈ 0.1095

Therefore, the probability that the hospital's capacity will be exceeded is approximately 0.1095.

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Answer:

linear

Step-by-step explanation:

its linear because the data shows a straight line:)

Answer:

Linear

Step-by-step explanation:

linear equation forms a straight line on the graph. A nonlinear equation forms a curve on the graph.

Answer:

If rounded to the nearest tenth of a cubic foot, would be: 927587.2

Step-by-step explanation:

The equation of finding the equation of the volume of a sphere is "4π\(\frac{radius^{3} }{3}\)"

If values are inserted in for radius as 60.5, the answer will be 927587.2 when rounded to the nearest tenths.

Hope this helps!

Answer:

The perimeter of the rectangle is 70 cm

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ Two sides of a rectangle are in the ratio 3 : 4

→ Let the width is the shorter side and the length is the longer side

∴ The ratio between the width and the length is 3 : 4

∵ The longer side is 20 cm

∴ The length of the rectangle = 20 cm

→ By using the ratio method

→  width  :  length

→  3          :  4

→  w         :  20

→ By using cross multiplication

∵ w × 4 = 3 × 20

∴ 4w = 60

→ Divide both sides by 4

∴ w = 15

∴ The width of the rectangle = 15 cm

∵ The perimeter of the rectangle = 2(length + width)

∴ The perimeter of the rectangle = 2(20 + 15)

∴ The perimeter of the rectangle = 2(35)

∴ The perimeter of the rectangle = 70 cm

∴ The perimeter of the rectangle is 70 cm

To sketch the region enclosed by the curves y = cos(x) and y = sin(2x) for the interval 0 ≤ x ≤ 2, we can follow these steps:

1. Plot the graphs of the two functions separately on the given interval.

For y = cos(x):

- Start by marking key points on the graph: (0, 1), (π/2, 0), (π, -1), (3π/2, 0), (2π, 1).

- Connect the points smoothly to create a curve that oscillates between 1 and -1.

For y = sin(2x):

- Start by marking key points on the graph: (0, 0), (π/4, 1), (π/2, 0), (3π/4, -1), (π, 0), (5π/4, 1), (3π/2, 0), (7π/4, -1), (2π, 0).

- Connect the points smoothly to create a curve that oscillates between 1 and -1, but with twice the frequency of the cosine curve.

2. Identify the region enclosed by the curves.

- The region enclosed by the curves is the area between the two curves from x = 0 to x = 2.

3. Shade the region enclosed by the curves.

- Shade the area between the two curves on the interval 0 ≤ x ≤ 2.

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Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

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Answer:

1 : 3.375

Step-by-step explanation:

divide both sides by 32 to get the above answer

The simple ratio of 32kg to 108kg​ is 8 : 27.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, Two similar quantities one weighs 32 kgs and the other weighs

108 kgs.

Therefore, The ratio between them is 32 : 108.

= 16 : 54.

= 8 : 27.

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Answer:

C?

Step-by-step explanation:

Step-by-step explanation:

You have to go to Y axis first then to X. For example : (4,5) go up 4 and go to x axis and when u get to 5 you put a dot. The same thing if is (-4,-5) go down 4 and to the left 5 and mark a dot. When you mark the dot put (_,_).

Hope you understand. Let me know if you don't.

Answer:

a = 20°

b = 160°

c = 125°

u = 110°

v = 70°

w = 110°

x = 70°

y = 110°

z = 110°

Step-by-step explanation:

Theorems

Using the Vertical Angles Theorem:

⇒ a = 20°

Using the Angles on a straight line Theorem:

⇒ 20° + b = 180°

⇒ b = 180° - 20°

⇒ b = 160°

Using the Vertical Angles Theorem:

⇒ c + 35° = b

⇒ c + 35° = 160°

⇒ c = 160° - 35°

⇒ c = 125°

Using the Vertical Angles Theorem:

⇒ u = 110°

⇒ v = 70°

Using the Same-side Exterior Angles Theorem:

⇒ v + w = 180°

⇒ 70° + w = 180°

⇒ w = 180° - 70°

⇒ w = 110°

Using the Corresponding Angles Postulate:

⇒ y = 100°

Using the Vertical Angles Theorem:

⇒ y = z = 110°

Using the Angles on a straight line Theorem:

⇒ x + z = 180°

⇒ x + 110° = 180°

⇒ x = 180° - 110°

⇒ x = 70°

The length of side x in simplest radical form with a rational denominator is 8√3

The given parameters are:

Triangle type = Equilateral triangle

Height (h) = 12

Missing side length = x

The missing side length, x is calculated using the following sine ratio

sin(60) = Height/Missing side length

This gives

sin(60) = 12/x

Make x the subject of the formula

So, we have

x = 12/sin(60)

Evaluate the quotient

So, we have

x = 12/(√3/2)

This gives

x = 24/√3

Rationalize

x = 24/√3 * √3/√3

Evaluate

x = 8√3

Hence, the length of side x in simplest radical form with a rational denominator is 8√3

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Answer:

D. 13

Step-by-step explanation:

54 ÷ 3 = 18 (your age in 5 years)

18 - 5 = 13 (your age now)

The solutions to the equation x⁵ - 5x³ + 4x = 0 are x = 0, x = 2, x = -2, x = 1, and x = -1.

To solve the equation x⁵ - 5x³ + 4x = 0, we can factor out an x from each term. This gives us x(x⁴ - 5x² + 4) = 0. Now we have two factors: x = 0 and x⁴ - 5x² + 4 = 0.

To solve x⁴ - 5x² + 4 = 0, we can make a substitution by letting y = x². This gives us y² - 5y + 4 = 0. We can then factor this quadratic equation as (y - 4)(y - 1) = 0.

Setting each factor equal to zero, we have y - 4 = 0 and y - 1 = 0. Solving these equations, we find y = 4 and y = 1.

Now, we substitute back y = x² to find the values of x. For y = 4, we have x² = 4, which gives us x = ±2. For y = 1, we have x² = 1, which gives us x = ±1.

Therefore, the solutions to the equation x⁵ - 5x³ + 4x = 0 are x = 0, x = 2, x = -2, x = 1, and x = -1.

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Answer:

20

Step-by-step explanatio: because its adding 2 more spaces to the left

Please brainliest

The coordinates of point M are (-6, 6.5). Option (B) is the correct answer.

We are given that S(-4, 5) is the midpoint of MP and the coordinates of P are (-8, 8). We want to find the coordinates of point M.

Since point S is the midpoint of MP, we can use the midpoint formula to find the coordinates of point M:

Midpoint formula: (xm, ym) = ((xp + xs)/2, (yp + ys)/2)

Substituting the given values, we get:

(xm, ym) = ((-8 - 4)/2, (8 + 5)/2)

(xm, ym) = (-6, 6.5)

The other points listed in the answer choices are not relevant to this problem.(option-b)

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Using the midpoint formula to solve the equations gives us the coordinates of M as (0,2).

In mathematics, we can find the coordinates of the point M using the formula properties of a line division. Since S is the midpoint, that means it equally divides the line segment MP into two. The midpoint formula is M = [(x1+x2)/2 , (y1+y2)/2]. You have the coordinates of S(-4,5) and P(-8,8), so we can set up the following equations using the midpoint formula:
(-4+X)/2 = -8 and (5+Y)/2 = 8
Solving these equations for X and Y, we get X = 0 and Y = 2. Therefore, the coordinates of M would be (0,2), which is option O (0,2) in your given choices.

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The double points of the following conic section x' + 4xy + 3y - 2xz - 4yz + 2 = 0 is  x = 1, y = 0, z = 1

The equation that represents double points of the conic section x" + 2xy + y - 8xz - 8yz + 16 = 0 is x + y - 4z = 0

The equation of the tangent line at point P(2,0) is x - 2y - 2z = 0

The first question asks to calculate the double points of a given conic section. The conic section is represented by the equation:

x' + 4xy + 3y - 2xz - 4yz + 2 = 0

To find the double points, we need to solve the equation for the variables x, y, and z. The solution is:

x = 1, y = 0, z = 1

These values represent the double points of the conic section.

In the second question, we are again asked to calculate the double points of a conic section. The equation is:

x" + 2xy + y - 8xz - 8yz + 16 = 0

To find the double points, we need to solve the equation for the variables x, y, and z. The solution is:

x + y - 4z = 0

This equation represents the double points of the conic section.

Finally, in the third question, we are asked to calculate the tangent line at the point P(2,0) of a conic section. The equation of the conic section is:

x - 4xy - y' + 2x - 4y - 8 = 0

To find the tangent line at point P(2,0), we need to differentiate the equation with respect to x. The derivative is:

1 - 4y + 2 - 4 = -2 - 4y

At point P(2,0), the value of y is 0. Plugging in this value, we get:

-2 - 4(0) = -2

Therefore, the equation of the tangent line at point P(2,0) is:

x - 2y - 2z = 0

This equation represents the tangent line at point P(2,0) of the conic section.


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Answer:

51

Step-by-step explanation:

5x+6=9x-30

5x=9x-36

4x=36

x= 9

5×9+6=51

Answer:

1 and 3

Step-by-step explanation:

where the dots on the graph are, you can read that in 5 minutes, 3 pages are edited. in 10 minutes, 6 pages.
so statement 1 is correct.
when every 10 minutes 6 pages are edited, divide both by 10 to get what is edited per minute. -> 6/10 pages are edited per minute.

Answer:

Lane 3 turtle.

Step-by-step explanation:

The slope for the lane 3 turtle is steeper than that of the lane 1 turtle. We know slope of a position vs time graph is velocity, so whichever turtle has the steeper/greater slope that turtle is fastest.

The first five terms of the sequence are 27, 22, 17, 12, and 7.

To find the first five terms of the sequence given by a₁=27 and d=-5,

we can use the formula for the nth term of an arithmetic sequence:

\(a_n=a_1+(n-1)d\)

Substituting the given values, we have:

\(a_n=27+(n-1)(-5)\)

Now, we can calculate the first five terms of the sequence by substituting the values of n from 1 to 5:

\(a_1=27+(1-1)(-5)=27\)

\(a_1=27+(2-1)(-5)=22\)

\(a_1=27+(3-1)(-5)=17\)

\(a_1=27+(4-1)(-5)=12\)

\(a_1=27+(5-1)(-5)=7\)

Therefore, the first five terms of the sequence are 27, 22, 17, 12, and 7.

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The probability that at least one visitor views another page on the site is very high, close to 1. This suggests that the website is engaging and visitors are likely to navigate beyond the home page.

Assuming that 200 visitors come to the home page of the website, we can use the binomial distribution to calculate the probability that at least one visitor views another page on the site.

Let X be the number of visitors who view another page. Then X follows a binomial distribution with n = 200 and p = 0.2.

P(X ≥ 1) = 1 - P(X = 0)

\(= 1 - (0.2)^0 * (0.8)^200= 1 - 0.8^200\)

≈ 1

Therefore, the probability that at least one visitor views another page on the site is very high, close to 1. This suggests that the website is engaging and visitors are likely to navigate beyond the home page.

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40 out of 200 visitors to the homepage are expected to view another page on the site.

The probability that a visitor to a website's homepage views another page on the site and how it relates to 200

visitors.

The probability is 0.2.

To find out how many visitors out of 200 are likely to view another page on the site, you can follow these steps:

Identify the given probability, which is 0.2 in this case.

Multiply the probability by the total number of visitors (200).

So, the calculation would be:

0.2 × 200 = 40

Based on the given probability, approximately 40 out of 200 visitors to the homepage are expected to view another

page on the site.

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Answer:

  (a)  $1049.15

Step-by-step explanation:

You want to know the interest earned by an account that pays 3.2% interest compounded semiannually if the balance is $6049.15 after 6 years.

The formula for the balance of an account earning compound interest is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

We have ...

  6049.15 = P(1 +0.032/2)^(2·6) = P(1.016^12)

The amount of interest earned is the difference between the account balance and the principal:

  interest = 6049.15 -(6049.15/1.016^12) ≈ 1049.15

The total amount of interest earned is $1049.15.

<95141404393>

Hey there!

3/4

= 3 ÷ 4

= 0.75

= 75%

Option A.
12/16

= 12 ÷ 2 / 16 ÷ 2

= 6 / 8

= 6 ÷ 8

= 0.75

= 75%

Thus, this statement is: TRUE

Option B.
6/8

= 6 ÷ 2 / 8 ÷ 2

= 3 / 4

= 3 ÷ 4

= 0.75

= 75%
Thus, this statement is: TRUE

Option C.
15/20

= 15 ÷ 5 / 20 ÷ 5

= 3 / 4

= 3 ÷ 4

= 0.75

= 75%

Thus, this statement is: TRUE

Option D.
20/28

= 20 ÷ 2 / 28 ÷ 2

= 10 / 14

= 10 ÷ 2 / 14 ÷ 2

= 5 / 7

= 0.714286

= 71.4286%

Thus, this statement is: FALSE

Option E.
24/32

= 24 ÷ 2 / 32 ÷ 2

= 12 / 16

= 12 ÷ 4 / 16 ÷ 4

= 3 / 4

= 3 ÷ 4

= 0.75

= 75%
Thus, this statement is: TRUE

Therefore, your answers are

• Option A. 12/16
• Option B. 6/8
• Option C. 15/20
• Option E. 24/32

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

ab + 3c = 2x

Subtract 3c from both sides

ab = 2x - 3c

Isolate b by dividing by a

b = (2x -3c)/a

The race is 40 miles long, since there are two repair and two water stations evenly spaced between the start and finish lines, and the third water station is located 8 miles after the first repair station.

The race is 40 miles long because the start and finish lines are 20 miles apart, and there are evenly spaced water and repair stations between them. The figure indicates that the first repair station is located at the start line, and the second repair station is 20 miles after the start line. The first water station is located 8 miles after the first repair station, and the second water station is located 16 miles after the second repair station. Therefore, the third water station is located 8 miles after the first repair station. Since there are two repair and two water stations evenly spaced between the start and finish lines, the race is 40 miles long.

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Answer:

f(3) = - 5

Step-by-step explanation:

Convert the x's to 3

The value of f(3) in the given function is 10

The function of f(x) means the expression in x to get a desired result. The function of f(x) relates to y = f(x), and for each value of x, there is a value for y.

From the given information:

f(x) = -x² - 4x + 13

For determine f(3), we will replace the value of x in previous equation with (3)

f(3) = (-3)² -4(3) + 13

f(3) = 9 - 12 + 13

f(3) = 10

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In the statement of activities, the fair value of the services provided by the students and faculty, which is $25,000, is reported as contributed services.

When the services are contributed to an organization, and they possess the skills that are needed to provide those services, they have to be reported on the statement of activities as contributed services. This information is typically placed on the statement of activities after revenues and before other expenses.

Additionally, Beta Alpha Psi can provide a description of the services that were contributed in the notes section of the financial statements. This description will help users of the financial statements to understand the types of services that were contributed by the students and faculty.

In the statement of activities, Beta Alpha Psi reports the fair value of services rendered by the students and faculty as contributed services. The fair value of these services is $25,000. This is reported in the financial statements because the students and faculty provided the services free of charge.

They volunteered their time to contribute to the organization's activities. Therefore, the organization is receiving a service at no cost, and the value of that service needs to be reported in the financial statements as contributed services.

Beta Alpha Psi can report the contributed services in the notes section of the financial statements by providing a description of the services that were provided by the students and faculty. The description will help users of the financial statements to understand the services that were contributed by the students and faculty.

The contributed services are reported on the statement of activities after revenues and before other expenses, and they are a crucial aspect of Beta Alpha Psi's financial statements.

The fair value of the services provided by the students and faculty to Beta Alpha Psi, which is $25,000, is reported as contributed services in the organization's statement of activities. This is because the students and faculty volunteered their time and provided the services free of charge, and therefore, the fair value of the services needs to be reported in the financial statements.

Beta Alpha Psi can also provide a description of the services rendered by the students and faculty in the notes section of the financial statements to help users of the financial statements to understand the services that were contributed.

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The absolute error for the 3rd week is 5.0.

To calculate the 2-period moving average, we take the average of the current and previous periods.

Given data:

Week 1: Actuals = 17.00

Week 2: Actuals = 20.00

Week 3: Actuals = 10.00

To calculate the forecast for Week 3 using the 2-period moving average, we average the values of Week 2 and Week 3:

Forecast Week 3 = (Week 2 + Week 3) / 2

              = (20.00 + 10.00) / 2

              = 15.00

The forecast for Week 3 is 15.00.

To calculate the absolute error for Week 3, we subtract the actual value from the forecast:

Absolute Error Week 3 = |Forecast Week 3 - Actuals Week 3|

                    = |15.00 - 10.00|

                    = 5.00

The absolute error for the 3rd week is 5.0.

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Using the data below, Use the 2 period moving average to create the forecast calculate the absolute error for the 3rd week. Week Actuals 17.00 20.00 10.00 11.00 Submit Answer format: Number: Round to: 1 decimal places.

The Riemann sum is a method used to approximate the value of a definite integral by dividing the interval into subintervals and evaluating the function at specific points within each subinterval.

In this case, we are given the integral ∫30(4x^2 + 2x + 1)dx and we need to find the Riemann sum using right endpoints and n subintervals.

To calculate the Riemann sum, we first need to determine the width of each subinterval. The total interval is 30, and we will divide it into n subintervals, so the width of each subinterval is Δx = 30/n.

Next, we need to determine the right endpoint of each subinterval. Since we are using right endpoints, the right endpoint of the first subinterval will be x_1 = Δx, the right endpoint of the second subinterval will be x_2 = 2Δx, and so on. The right endpoint of the nth subinterval will be x_n = nΔx.

Now, we can calculate the Riemann sum by evaluating the function at each right endpoint and multiplying it by the width of the subinterval. Let's denote the function as f(x) = 4x^2 + 2x + 1.

The Riemann sum can be written as:

R = Σ[f(x_i)Δx], where i ranges from 1 to n.

Using the right endpoints, the Riemann sum can be expressed as:

R = Σ[f(x_i)Δx] = Σ[(4(x_i)^2 + 2x_i + 1)Δx], where i ranges from 1 to n.

Finally, we can calculate the Riemann sum by substituting the values of x_i and Δx into the above expression and summing up the terms.

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