A circle with a shaded sector has a circumference of 12 pi millimeters. What is the area of the shaded sector? Express the answer in terms of Pi.

Answer:

answer in photo

Step-by-step explanation:

Storage Space of Shed = Volume of Shed.

Volume of Shed = Volume of Rectangular level

+ Volume of Triangular roof

Volume of Rectangular Level =

Length x Width x Height

=

[tex]12 \times 6 \times 8 \\ = 576 {ft}^{3} [/tex]

Volume of Triangular Roof =

Area of Triangular side x Length

=

[tex] \frac{1}{2} \times base \times height \times length \\ = \frac{1}{2} \times 6 \times 4 \times 12 \\ = \frac{1}{2} \times 288 \\ = 144 {ft}^{3} [/tex]

Volume of Shed = 576 + 144

=

[tex]720 {ft}^{3} [/tex]

For highway-mileages of 9 different models of car, the mode is 41, mid-range is 37.5, range is 25, and standard-deviation is 6.25.

⇒ To find the mode, we identify the value(s) that occur most frequently in the data set. In this case, the mode is 41, as it appears twice, more than any other value.

So, the mode is 41,

⇒ The midrange is calculated by finding the average of the maximum and minimum values in the data set. In this case, the maximum value is 50 and the minimum value is 25. So, the midrange is (50 + 25)/2 = 37.5,

⇒ The range is determined by subtracting the minimum value from the maximum value. In this case, the range is 50 - 25 = 25,

⇒ To calculate the standard-deviation using the range rule of thumb, we divide the range by 4. In this case, the range is 25, so the standard deviation would be 25/4 = 6.25.

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The given question is incomplete, the complete question is

The highway mileage (mpg) for a sample of 9 different models of a car company can be found below. 41, 50, 41, 25, 28, 27, 36, 47, 46.

Find the mode, midrange, range, and standard deviation.

Answer:

Answer is NOT 126 CORRECT answer is 628

Step-by-step explanation

First you divide 40 by 2 which equals 20 . Then you do pi which equals 3.14 and you multiply it by 20^(2) which equals 1256 . After that you take 1256 and divide it by 2 which equals 628 .

Answer:

(3,-1)

Step-by-step explanation:

The given equations are :

x = 3 ..(1)

y+1 = 0 ....(2)

We need to solve the equations graphically. x = 3 means draw a line parallel to y axis.

For y+1=0

y = -1

Draw a line parallel to the negative x axis. The attached figure shows the graph for the given equations. The solution is (3,-1).

Answer:

145

Step-by-step explanation:

Answer:

19 + 13 = 32 x 10 = 320 divided by 2 = 160yd2

Formula of a trapezoid:

B1 (base 1) + B2 (base2) x Height x 1/2 (basically dividing by 2).

Base 1 was 19

Base 2 was 13

and 10 was your height

And then divide by 2. ( x 1/2)

1000 meters are there in a kilometer.

Answer:

1st, 3rd, and 4th box.

Step-by-step explanation:

9^5=59049

9^2=81   9^3=729    729*81=59049              yes

9^5=59049   59049x9=531441                     no

9^4=6561    6561*9=59049                           yes

9^2=81      81x81=6561     6561*9=59049     yes

9^3=729   729x729=531441                          no

Answer:

The answer is the third one or (9^(4) (9)  

Step-by-step explanation:

The equations of values of x and y =0 that will maximize the revenue.

The marginal revenue equations, to calculate the partial derivatives of the revenue function with respect to each variable, x and y.

Given the revenue function:

t(x, y) = 110x + 180y + 3x² - 4y² - xy

The marginal revenue with respect to x, rx(x, y), the partial derivative of t(x, y) with respect to x, while treating y as a constant:

rx(x, y) = ∂t/∂x = 110 + 6x - y

Similarly, the marginal revenue with respect to y, ry(x, y),the partial derivative of t(x, y) with respect to y, while treating x as a constant:

ry(x, y) = ∂t/∂y = 180 - 8y - x

The production levels that will maximize revenue, both marginal revenue equations equal to zero and solve as a system of equations.

Setting rx(x, y) = 0:

110 + 6x - y = 0

Setting ry(x, y) = 0:

180 - 8y - x = 0

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Any line perpendicular to it would have an undefined slope and would not pass through point (f, g) where f and g could be any values. In this case, the statement is false.

The statement "Leo drew a line that is perpendicular to the line shown on the grid and passes through the point (f, g)" can be true or false.

It depends on the line shown on the grid and the coordinates of point (f, g).

Two lines are perpendicular if their slopes are opposite reciprocals of each other.

To find the slope of the line perpendicular to the line shown on the grid,

we can use the negative reciprocal of the slope of the given line.

If the line drawn by Leo has this slope and passes through point (f, g), then the statement is true.

If not, then the statement is false.

For example, if the line shown on the grid has a slope of 2/3 and passes through the point (0,0),

then the perpendicular line drawn by Leo would have a slope of -3/2 and pass through point (f, g) where f and g could be any values.

In this case, the statement is true.

However, if the line shown on the grid has a slope of 0 and passes through point (1,1), then any line perpendicular to it would have an undefined slope and would not pass through point (f, g) where f and g could be any values. In this case, the statement is false.

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Answer:

2

Step-by-step explanation:

2+2 is 4 so therefore the answer is 2.00.

Answer:

P" is then (-3, 2).

Step-by-step explanation:

If the point P(-6, 4) is translated 3 units to the right, the x-coordinate increases by 3 from -6 to -3 and the y-coordinate decreases 2 units from 4 to 2.

P" is then (-3, 2).

Answer:

Answer:

P" is then (-3, 2).

Step-by-step explanation:

Answer:

I would need to see the attached lesson to answer this question.

Answer:

-3a^2 - 6a - 10

Step-by-step explanation:

You are subtracting 10a^2 + 6a + 2 from 7a^2 - 8.

You can set it up like the problem shows you, and subtract each term in the second line form a like term in the top line.

         7a^2            -8

(-)      10a^2 + 6a + 2

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

        -3a^2 - 6a - 10

Answer:  -3a^2 - 6a - 10

the average value of f(x) = x³ on the interval [-1, 2] is 5/4.

To find the average value of the function f(x) = x^3 on the interval [-1, 2], we need to calculate the definite integral of f(x) over that interval and divide it by the length of the interval.

The average value (Avg) is given by the formula:

Avg = (1 / (b - a)) * ∫[a to b] f(x) dx

In this case, a = -1 and b = 2. Let's calculate the average value:

Avg = (1 / (2 - (-1))) * ∫[-1 to 2] x³ dx

   = (1 / 3) * ∫[-1 to 2] x³ dx

To integrate x³, we add 1 to the exponent and divide by the new exponent:

Avg = (1 / 3) * [x⁴ / 4] | from -1 to 2

   = (1 / 3) * [(2⁴ / 4) - (-1⁴ / 4)]

   = (1 / 3) * [(16 / 4) - (1 / 4)]

   = (1 / 3) * (15 / 4)

   = 5 / 4

Therefore, the average value of f(x) = x³ on the interval [-1, 2] is 5/4.

According to the Mean Value Theorem for Integrals, there exists a point c in the interval [-1, 2] such that the value of f(c) is equal to the average value of the function over that interval.

In this case, the average value is 5/4. Therefore, there exists a point c in the interval [-1, 2] such that f(c) = 5/4.

c³ = 5/4

c = ∛(5/4)

The value of c is ∛(5/4)

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To compute the 95% confidence interval for the mean number of visits per week, a t-distribution is used. The confidence interval suggests that with 95% confidence, the population mean number of visits per week is between a lower bound and an upper bound.

(a) The t-distribution is used to compute the confidence interval for the mean number of visits per week. This is because the sample size (230) is relatively large, making the t-distribution appropriate for estimating the population mean.

(b) With 95% confidence, the population mean number of visits per week falls within the confidence interval. To calculate the interval, the sample mean (3.5) and the standard deviation (2.7) are used. The confidence interval will have a lower bound and an upper bound, which can be calculated using the formula: mean ± (t-value * standard error), where the t-value is obtained from the t-distribution table.

(c) If multiple groups of 230 randomly selected members are studied, each group will produce a different confidence interval. Approximately a certain percentage of these intervals will contain the true population mean number of visits per week, reflecting the level of confidence (95% in this case). The remaining percentage of intervals will not contain the true population mean. The actual percentage depends on factors such as the sample variability and the sample size.

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Answer:

volume = 80 in³

Step-by-step explanation:

base area = 8 x 6 x 0.5 = 24 in²

volume = 24 x 10 x 1/3 = 80 in³

Answer:

I think the answer is 54.2, but it may not be correct.

Step-by-step explanation:

To find the mean of something, you're supposed to find the sum of all the numbers and the divide it by how many numbers are in the set. Hope this helped!

Answer:

Step-by-step explanation:

Write the sum of the terms in descending order.

Answer:

c,h is a 90 degree angle and so is a,k,c

a,k,c is half of the 12cm

so the answer is c,h is 6cm

Step-by-step explanation:

Answer:

CH = 6

BAH = 96

Step-by-step explanation:

BC = 12, so BK = 6, and ABK = ACH, so BK = CH = 6

BAK = 32, KAC = 32, CAH = 32

BAK + KAC + CAH = BAH = 96

Answer:

I think it's A

Step-by-step explanation:

To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging in the x value into the equation. The resulting y value is your predicted linear regression score.

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Answer:

hi

Step-by-step explanation:

hi

Answer:

x, y) → (1.5x, 1.5y)

Step-by-step explanation:

Answer:

Is this for your homework

Step-by-step explanation:

Answer:  -7

Step-by-step explanation:

In order to find rate of change, we use two points (0,70) and (3,49).

rate of change = (y2 - y1)/ (x2 - x1)

                         = (49 - 70) / (3 - 0)

                         = -21/3

                         = -7

Answer:

10,603 cu in

Step-by-step explanation:

For a pipe use its length instead of height: pipe volume = π * radius² * length , where radius = inner diameter/2 . The volume of a pipe is equal to the volume of a liquid inside.

Therefore,

radius = 1 inch ÷ 17 = 5 inch

length = 15 × 5 inches = 75 inches

volume = π (pi) × radius squared × length

volume = 15× (.5 x .5) × 75

volume = 15 × 5 × 2

volume = 10,603 in³

The volume of fluid in a pipe can be found given the inner diameter of the pipe and the length. To estimate pipe volume, use the following formula:

volume = π ×  

d2

4

× h

Thus, the volume of a pipe is equal to pi times the pipe diameter d squared over 4, times the length of the pipe h.

This formula is derived from the cylinder volume formula, which can also be used if you know the radius of the pipe.

volume = π × r2 × h

Answer:

t < 7

Step-by-step explanation:

52 > 5t + 17

52 - 17 > 5t

35 > 5t

35/5 > t

t < 7