The table shows survey results for 200 patients who had either hip or knee surgeryIf one person is selected randomly, what probability he or she was satisfied, given that he or she had knee surgery? (Round to the nearest tenth of a percent.)

Answer: I say "A"

Step-by-step explanation:

Because I forgot this years ago in college rn

Answer:

Step-by-step explanation:

A grocer purchased 80kg of rice at rs90 per kg and sold at rs 99 per kg. 1)Find his profit/loss. 2)Find his profit/loss percent

(b+1)/2b

quotient = divided by

we're dividing a number that is 1 more than b (b + 1), with a number twice as large as b (2b).

Answer:

(1) - C, \((3,\frac{\pi}{6})\)

(2) - B, \((0,-2)\)

Step-by-step explanation:

\(\text{Using the following conversions:}\\\boxed{\left\begin{array}{ccc}\text{\underline{Rect. to Polar:}}\\(x,y)\rightarrow(r, \theta)\\\\r=\sqrt{x^2+y^2}\\\\\theta=\tan^{-1}(\frac{y}{x})\end{array}\right} \ \ \boxed{\left\begin{array}{ccc}\text{\underline{Polar to Rect.:}}\\(r, \theta)\rightarrow(x,y)\\\\x=r\cos \theta\\\\y=r \sin\theta\end{array}\right}\)

Note that when doing these calculations, make sure your calculator is in radians mode.

Question #2:

Given:

\((\frac{3\sqrt{3} }{2} ,\frac{3}{2} ) \ \text{in} \ (x,y)\)

\((\frac{3\sqrt{3} }{2} ,\frac{3}{2} )\\\\\Rightarrow r=\sqrt{(\frac{2\sqrt{2} }{2})^2+(\frac{3}{2})^2} \\\\\Longrightarrow r=\sqrt{\frac{27}{4} +\frac{9}{4} } \\\\\Longrightarrow r=\sqrt{9}\\\\\therefore \boxed{ r=3}\\\\\Rightarrow \theta=\tan^{-1}(\frac{\frac{3}{2}}{\frac{3\sqrt{3} }{2}})\\\\\Longrightarrow \theta=\tan^{-1}(\frac{\sqrt{3} }{3})\\\therefore \boxed{\theta=\frac{\pi}{6} }\)

Thus, the correct option is C.

\(\boxed{\boxed{(3,\frac{\pi}{6})}}\)

Question #3:

Given:

\((2,\frac{3\pi}{2} ) \ \text{in} \ (r,\theta)\)

\((2,\frac{3\pi}{2} ) \\\\\Rightarrow x=(2)\cos(\frac{3\pi}{2})\\\\\Longrightarrow x=(2)(0)\\\\\therefore \boxed{x=0}\\\\\Rightarrow y=(2)\sin(\frac{3\pi}{2})\\\\Longrightarrow y=(2)(-1)\\\\\therefore \boxed{y=-2}\)

Thus, the correct option is B.

\(\boxed{\boxed{(0,-2)}}\)

Answer:

less

Step-by-step explanation:

3 km is 1.864 miles therefore, less than 5,000 m

The present value of the annuity at the end of year 7 is approximately $47,069.08.

To calculate the present value of an ordinary annuity, we can use the formula:

PV = PMT * [(1 - (1 + r)⁻ⁿ) / r],

where PV is the present value, PMT is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, the annual payment is $4,500, the interest rate is 8%, and the number of periods is 16. However, the payments start at the end of year 8 and continue until the end of year 23, which means there is a delay of 7 years.

Using the formula, the present value at the end of year 7 can be calculated as:

PV = $4,500 * [(1 - (1 + 0.08)⁻¹⁶) / 0.08] = $47,069.08.

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Answer:

25/8(x-6) + 7/8(x+2)

Step-by-step explanation:

Answer:

25/8(x-6) + 7/8(x+2)

Step-by-step explanation:

Step-by-step explanation:

3 of the 4 options aren't prisms

A is a cuboid

B is a cube

C is a prism

D is a pyramid

Answer:

The answer is D.

I hope this helps.

Have nice day/night!!!!(wherever you are)

We need to solve the following equation:

Notice that x ≠ 1, since x = 1 makes zero the denominators. Then, multiplying all the terms by x-1, we obtain:

Answer:

\(60\)

Step-by-step explanation:

Using the exterior angle theorem, \(y=35^{\circ}+25^{\circ}\).

Answer: x = 5/49 ; 0.102041

Step-by-step explanation:

The number of ways can five of the nine us supreme court justices agree is 3024 ways.

The number of ways that five of the nine us supreme court justices agree will be calculated thus:

= 9! / 5!

= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2) / (5 × 4 × 3 × 2)

= 3024

There'll be 3024 ways.

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Answer:

See below

Step-by-step explanation:

Cost of movie => x

Cost of video game => y

5x + 3y = 24

2x + 12y = 69 or 34.5-6y = x

Substitute

5x + 3y = 24

5(34.5-6y) + 3y = 24

172.5 - 30y + 3y = 24

-27y = -148.5

y = 5.5

34.5-6y = x

34.5-6(5.5) = x

x = 1.5

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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It is false to state that " If neither variation in an A/B is statistically better, you pick the variation you like best and proceed to make the change."

A/B testing compares two variations of a website element, often by evaluating users' responses to variant A vs. variant B and determining which of the two variants is more successful.

When the variation seems to be equal, then another factor must be introduced into the metric analysis that helps to make the testing objective.

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Answer: \(9y-30mx\)

Step-by-step explanation:

\(3y+6y=9y\)

\(9y-3\cdot \:10mx\)

\(3\cdot \:10=30\)

\(=9y-30mx\)

Please mark Brainliest

Answer:

Width = 14m

Step-by-step explanation:

width = w

length = w - 6

area: w(w-6) = 112

w^2 - 6w = 112

14 x 14 = 196

6 x 14 = 84

196 - 84 = 112

The slant height of the Teepee is 32.76 feet.

The square footage of one of the rooms is 44 square feet.

Check the attached for the sketch of the cone. From the image, the slant height is labelled l. Note that the base diameter is 14 feet, so the base radius will be 7 feet.

(a) Thus, the slant height can be found by considering one of the right triangles in the cone. That is:

l² = 32² + 7²   (Pythagoras Theorem)

l²  = 1024 + 49

l = √1073

l = 32.76 feet

(b) The shape of base is a circle.

Area of circle = πd

where d is the base diameter

Area of circle = 22/7 * 14

Area of circle = 44 square feet

Thus, the square footage of one of the rooms is 44 square feet

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The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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LU decomposition and Gaussian elimination are both methods used to solve systems of linear equations. However, there are certain scenarios where LU decomposition is preferred over Gaussian elimination.

LU decomposition is useful when you have a system of linear equations that remains unchanged, but you need to solve it for different right-hand sides. Instead of performing the costly and time-consuming Gaussian elimination repeatedly, LU decomposition allows you to factorize the coefficient matrix once and then solve for different right-hand sides efficiently. LU decomposition also helps in solving systems with multiple right-hand sides simultaneously. Once the matrix is factorized into its lower triangular (L) and upper triangular (U) components, you can easily solve for each right-hand side by substituting the values into the lower and upper triangular matrices.

Additionally, LU decomposition can be advantageous when you want to compute the determinant or the inverse of a matrix. The factorized form of the matrix simplifies these computations compared to performing Gaussian elimination. In summary, LU decomposition is preferred over Gaussian elimination when you need to solve a system of linear equations for different right-hand sides, solve systems with multiple right-hand sides simultaneously, or perform computations involving the determinant or inverse of a matrix. It provides computational efficiency and avoids redundant calculations compared to the Gaussian elimination method.

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Answer:

X=-8

Step-by-step explanation:

2 #7&"8*_8-*'7&-$(7

X<-8

On the number line, put the dot at -8 and shade to the left.

To convert the given polar equation to rectangular form, here are the steps.

1. Remember that sec θ = 1/cos θ. This means, the given polar equation can also be written as:

2. We can multiply cos θ to both sides of the function to remove the cos θ in the right side.

3. Since we know that x = r cos θ, we can say that x = -3. This is the rectangular form of the equation.

So, the interest is compounded 6,335 times per year.

To find n, we need to use the formula for compound interest:
\(A = P(1 + r/n)^{(nt)\)

Where:
A = the final amount
P = the principal (initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time period (in years)

In this case, we have:

P = $12,000
r = 6.5% = 0.065
n = ?
t = 4 years

We know that the interest is compounded daily, so we need to convert the annual interest rate and the time period to reflect that.

First, we need to find the daily interest rate:

daily rate =\((1 + r/365)^{(365/365) - 1\)
daily rate = (1 + 0.065/365)\(^{(365/365) - 1\)
daily rate = 0.000178

Next, we need to find the number of compounding periods:

n = 365

Finally, we can plug in the values and solve for n:

A = P(1 + r/n)\(^(nt)\)
A = $12,000(1 + 0.000178/365)\(^{\\(365*4)\)
A = $12,000(1.000178)^1460
A = $14,233.29

Now we can use the formula for compound interest in reverse to solve for n:

\(A = P(1 + r/n)^{(nt)\\14,233.29 = 12,000(1 + 0.065/n)^{(n*4)\\1.18611 = (1 + 0.065/n)^(4n)\\\\ln(1.18611) = ln[(1 + 0.065/n)^(4n)]\\0.16946 = 4n ln(1 + 0.065/n)\\n = 4[ln(1.065/1.000178)] / 0.16946\\n = 4[270.309] / 0.16946\\n = 6,334.4\)Therefore, n is approximately 6,334.4. However, since n represents the number of compounding periods and cannot be fractional, we need to round up to the nearest whole number:

n = 6,335

So, the interest is compounded 6,335 times per year.\\

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Answer:

$13.8

Step-by-step explanation:

20(0.45)+15(0.32)

= 13.8

Answer:

First, you need to calculate the sale price of the TV after the 20% discount:

20% of $500 = $100 discount

Sale price = $500 - $100 = $400

Then, you need to apply the additional 10% discount:

10% of $400 = $40 discount

Final price = $400 - $40 = $360

Therefore, with both discounts, you would be paying $360 for the 50-inch television.

Step-by-step explanation:

If f and g be functions such that, f(0)=2, g(0)=3, f'(0)=-10, g'(0)=-3, then :

h'(0) = -36.

To find h'(0), we can use the product rule for derivatives. The product rule states that if h(x) = f(x)g(x), then h'(x) = f'(x)g(x) + f(x)g'(x).

Applying this to our function h(x) = g(x)f(x), we get:

h'(x) = g'(x)f(x) + g(x)f'(x)

Now we can evaluate this expression at x = 0, since we are looking for h'(0). Plugging in the given values, we get:

h'(0) = g'(0)f(0) + g(0)f'(0)
      = (-3)(2) + (3)(-10)
      = -6 - 30
      = -36

Therefore, we can state that the value of h'(0) = -36.

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Answer:

32°C

Step-by-step explanation:

 59°C - 27°C = 32°C

The slope of the line passing through the points (2,2) and (5,3) is m = 1/3

The points are (2,2) and (5,3)

The slope of the line is the change in y coordinate with respect to the change in x coordinate

Slope of the line m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

Where m is the slope of the line

\((x_{1},y_{1})\) are the coordinates of the first point

\((x_{2} ,y_{2} )\) are the coordinates of the second point

Substitute the values in the equation

Slope of the line m =\(\frac{3-2}{5-2}\)

m = 1/3

We know the slope intercept form

y= mx+c

Substitute the values in the equation

2 = (1/3)2+c

2 = 2/3 + c

c = 2-(2/3)

c = 4/3

The the equation will become

y = (1/3)x + 4/3

Draw the graph using the equation

Hence, the slope of the line passing through the points (2,2) and (5,3) is m = 1/3

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