Solve the formula S=4(pi)r^2 for r.

We can perform a hypothesis test using the appropriate test statistic. In this case, since we are comparing the average level of the pollutant before and after the changes, we can use a t-test.

The appropriate test statistic for verifying the belief is the t-statistic, which is calculated as the difference between the sample mean and the hypothesized population mean (in this case, the average level of the pollutant two years ago), divided by the standard error of the mean. The formula for the t-statistic is:                                                                               t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

In this case, the sample mean is 152 ppm, the hypothesized mean is 180 ppm, the sample standard deviation is 42 ppm, and the sample size is 49. Plugging these values into the formula, we can calculate the t-statistic. After calculating the t-statistic, we can compare it to the critical values from the t-distribution with degrees of freedom (sample size - 1) to determine if the difference in the means is statistically significant. The critical values correspond to a chosen significance level (commonly 0.05 or 0.01). The test statistic should be compared to the critical values to make a decision about the hypothesis.

The value of the appropriate test statistic for verifying the belief in this case cannot be determined without the critical values or significance level. Therefore, none of the options provided (a.-3.00, b.-2.58, c.о, d.2.54, e.3.00) can be considered the correct answer without additional information.

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A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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In linear regression, we are trying to forecast the dependent variable based on the independent variable.

Option C is the correct answer.

We have,

In linear regression, the dependent variable is the outcome variable or the response variable that we want to predict or explain, while the independent variable is the predictor variable or explanatory variable that helps us in predicting the dependent variable.

The beta parameter and y-intercept are coefficients of the linear regression equation that help in determining the relationship between the dependent and independent variables.

Thus,

In linear regression, we are trying to forecast the dependent variable based on the independent variable.

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Answer:

Step-by-step explanation:

the sum of the internal angles of a triangle is 180 °, so 4x + 14 + 3x - 1 + x - 1 = 180 °

4x + 14 + 3x - 1 + x - 1 = 180

8x + 12 = 180

8x = 180 - 12

8x = 168

x = 168 : 8

x = 21

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

angle 4x+14=

4 * 21 + 14 = 98°

angle x-1 =

21 - 1 = 20°

angle 3x-1 =

3 * 21 - 1 =

63 - 1 =

62°

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

check

98 + 20 + 62 = 180°

If a number k, is selected at random from a set of 11 consecutive even integers, the  probability that k = 10 is 1/11

One number, k , is selected at random from a set of 11 consecutive even integers.

So, the sample space is 11

We need to find the  probability that k = 10

The desirable outcome is 1

Probability = desirable outcomes/sample space

P(k = 10) = 1/11

Therefore, if a number k , is selected at random from a set of 11 consecutive even integers, the  probability that k = 10 is 1/11.

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For Felipe and Helena's final grades, the solution is option C, [74 71].

Using the given values for Q, T, and P weights and Felipe and Helena's grades, calculate their final grades as follows:

Felipe's final grade:

0.40 x 80 + 0.50 x 60 + 0.10 x 90 = 32 + 30 + 9 = 71

Helena's final grade:

0.40 x 70 + 0.50 x 80 + 0.10 x 60 = 28 + 40 + 6 = 74

To represent the final grades for Felipe and Helena in a matrix F, given formula F = WG, where W = matrix of weights and G = matrix of grades:

[0.40 0.50 0.10]   [80 70]

F = WG = [0.40 0.50 0.10] x [60 80]

[0.40 0.50 0.10] [90 60]

Performing matrix multiplication:

[32 + 30 + 9  28 + 40 + 6]

F = WG = [32 + 40 + 6 28 + 40 + 3]

[36 + 25 + 6 36 + 20 + 3]

Simplifying:

[71 74]

F = WG = [78 71]

[67 59]

Therefore, [74 71] for Felipe and Helena's final grades, respectively.

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Answer:

w

Step-by-step explanation:

1w = w

Wow...

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation: can u tell me if am right

Answer:

$31.00

Step-by-step explanation:

124 x 25 = 3100, 3100 divided by 100 = 31.00

Answer:

510 miles

Step-by-step explanation:

Let 'm' be the miles traveled.

    To find the charge for 'm' miles, multiply m by rate per mile.

Charge for 'm' miles = 0.15*m = 0.15m

If we add the fixed charge per week with the charge for 'm' miles, we will get the total charge.

                       Total charge = Fixed charge + charge for m miles

                                              = 190 + 0.15m

190 + 0.15m = 266.50

Subtract 190 from both sides,

          0.15m = 266.50 - 190

         0.15m  =  76.50

Divide both sides by 0.15,

                \(m =\dfrac{76.50}{0.15}\\\\\\m=\dfrac{7650}{15}\\\\\\m = 510 \ miles\)

The measure of angle LPQS is 12.5 degrees. The correct answer is not provided in the options given.

Let's analyze the given information step by step. We have a circle with two intersecting chords, PQ and RS, that meet at a right angle inside the circle. The measure of angle ZQPR is given as 25 degrees. We need to find the measure of angle LPQS.

To solve this problem, we can use the property of angles formed by intersecting chords. According to this property, when two chords intersect inside a circle, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

Mathematically, this can be represented as:

\(PQ \times QR = RS \times SP\)

Since the point of intersection is at right angles, we can say that PQ and RS are diameters of the circle. Therefore, their lengths are equal to twice the radius of the circle.

Let's assume the radius of the circle is 'r'. So, PQ = 2r and RS = 2r.

Substituting these values into the equation, we have:

\(2r \times QR = 2r \times SP\)

Canceling out the common factors, we get:

QR = SP

Now, let's consider angle LPQS. It is an inscribed angle that intercepts arc QSR. By the inscribed angle theorem, we know that the measure of an inscribed angle is half the measure of its intercepted arc. So, angle \(LPQS = 1/2 \times m(arc QSR).\)

Since angle ZQPR is given as 25 degrees, angle QSR is its vertical angle and is also 25 degrees.

Therefore, angle \(LPQS = 1/2 \times 25 = 12.5 degrees.\)

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The combined volume of the two offices can be found by calculating the volume of each office separately and then adding them together. The volume of a rectangular office can be determined by multiplying its length, width, and height. The volume of a square office can be found by cubing the length of one side and multiplying it by the height.

Office 1: The first office measures 12ft by 10ft, with a height of 10ft. To calculate its volume, we multiply the length, width, and height:

Volume of Office 1 = 12ft * 10ft * 10ft = 1,200 cubic feet.

Office 2: The second office is a square with sides measuring 5 yards each, and a height of 10ft. To find its volume, we cube the length of one side (since it's a square) and multiply by the height:

Volume of Office 2 = (5 yards * 3 feet/yard) * (5 yards * 3 feet/yard) * 10ft = 1,350 cubic feet.

Combined Volume: To find the combined volume of the two offices, we add the volumes of both offices together:

Combined Volume = Volume of Office 1 + Volume of Office 2 = 1,200 cubic feet + 1,350 cubic feet = 2,550 cubic feet.

Therefore, the combined volume of the two offices is 2,550 cubic feet.

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They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning

Candice's proof is a direct proof because it establishes the truth of a statement by providing a logical sequence of steps that directly lead to the conclusion. In a direct proof, each step is based on a previously established fact or an accepted axiom. The proof proceeds in a straightforward manner, without relying on any other alternative scenarios or indirect reasoning.

Candice's proof likely involves stating the given information or assumptions, followed by a series of logical deductions and equations. Each step is clearly explained and justified based on known facts or established mathematical principles. The proof does not rely on contradiction, contrapositive, or other indirect methods of reasoning.

On the other hand, Joe's proof is also a direct proof for similar reasons. It follows a logical sequence of steps based on known facts or established principles to arrive at the desired conclusion. Joe's proof may involve identifying the given information, applying relevant theorems or formulas, and providing clear explanations for each step.

Direct proofs are commonly used in mathematics to prove statements or theorems. They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning. By presenting a direct chain of deductions, these proofs build a solid argument that leads to the desired result, without the need for complex or indirect reasoning.

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The name of the solution that is obtained by working backwards , from right to left through a decision tree is (c) rollback technique

The Rollback Technique in finding a solution refers to a method where, instead of proceeding forward step by step, one works backwards from the final solution to the starting point.

This roll back approach is often used when solving problems or making decisions where the desired outcome is known, but the steps needed to reach that outcome are not.

So , by working backwards, one can identify the necessary steps and make the necessary decisions to achieve the desired outcome.

The given question is incomplete , the complete question is

What is the name for a solution that is obtained by working backwards, from right to left, through a decision tree?

(a) progressive method

(b) backwards-thinking

(c) rollback technique

(d) regressive method

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Answer:

11/13

Step-by-step explanation:

"six lemon-lime and seven orange"

"Two of  the lemon-lime and four of the orange  drinks are cold"

2 lemon-lime are cold

4 lemon-lime are warm

4 orange are cold

3 orange are warm

Total orange flavored: 7

Not orange warm: 4

orange or warm: 11

p(orange or warm) = 11/13

The probability of grabbing a bottle that is orange flavored or warm is \(\frac{11}{13}\)

'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'

According to the given problem,

Total number of drinks = 13

Number of lemon-lime drinks = 6

Number of orange drinks = 7

Number of drinks that are cold = 2 lemon-lime + 4 orange

                                                   = 6 drinks

Number of drinks still warm = 7

Probability = \(\frac{Number of possible events}{Total number of events}\)

                  = \(\frac{7 + 4 }{13}\) [ 7 + 4 because 7 are orange flavored and 4 lemon-lime              

                            drinks are warm.]

                   = \(\frac{11}{13}\)

Hence, we can conclude, the probability of grabbing a bottle that is orange or warm is \(\frac{11}{13}\).

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The value is 24 square units is parallel to the face of the right rectangular prism.

We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.

So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

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A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

Answer:

The answer is Sin B

Step-by-step explanation:

I remember in 8th grade doing this

Step-by-step explanation:

1.6t=6.4

We move all terms to the left:

1.6t-(6.4)=0

We add all the numbers together, and all the variables

1.6t-6.4=0

We move all terms containing t to the left, all other terms to the right

1.6t=6.4

t=6.4/1.6

t=4

Answer: 9

explanation: 6x4 is 24 - 15 = 9

Answer:

Step-by-step explanation:

Solve: \(\frac{b+15}{6}\) = 4

\(\frac{b+15}{6}\) = 4

b + 15 = 24

b = 24 - 15

b = 9

Answer:

B) If I do not make the team, then I do not get a uniform.

Step-by-step explanation:

The contrapositive of a conditional statement is formed by negating both the antecedent and the consequent of the statement and then swapping their order. In the case of the statement "If I do not get a uniform, then I do not make the team," the contrapositive is "If I do not make the team, then I do not get a uniform."

The values of the square numbers are:

a. -16

b. 16

c. 16

From the information given, we have the following expressions;

Let's write the squares in simpler form

-4² = - (4 × 4)

This is so because the square was only assigned to 4 and not the negative sign

(-4)² = - 4 × - 4

This is so because the square was assigned to both the negative sign and 4

4² = 4 × 4

This is so because the square was assigned to 4

Now, we have

- (4 × 4) = -16

- 4 × - 4 = 16

4 × 4 = 16

Thus, the values are - 16, 16 and 16 respectively.

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Answer:

11

Step-by-step explanation:

Step 1:

\(\frac{11}{15}\) = 0.7333333333333

You can use two method

First method: form a triangle from x = 4 to x = 7. See vertically and horizontally (count the squares). It would be 5 and 3. Therefore 5/3 would be the slope.

Second method: use the slope formula

Determine 2 points on the graph

(4,0) and (7,5)

Formula: (y2-y1)/(x2-x1)

(5-0)/(7-4) = 5/3

The slope is 5/3

Answer:

slope = \(\frac{5}{3}\)

Step-by-step explanation:

Select two points (or 2 sets of coordinates) on the graph: (4, 0) and (7, 5).

\(X_{1} = 4\\Y_{1} = 0\\X_{2} = 7\\Y_{2} = 5\)

Using the slope equation:

m =  \((\frac{Y_{2} - Y_{1}}{X_{2} - X_{1}} )\)

    = \(\frac{(5 - 0)}{(7 - 4)}\\\)

m =  \(\frac{5}{3}\)

Answer

8:28 Hope this helps.

The number of ways to draw five numbers from a group of twelve numbers without considering the order is 792. This can be calculated using the combination formula nCk = n!/((n-k)!k!).

The number of ways to draw five numbers from a group of twelve numbers without considering the order is given by the combination formula.

The formula is nCk = n!/((n-k)!k!), where n is the total number of items in the group and k is the number of items to be chosen. Applying this formula to the given problem, we get 12C5 = 792.

To understand this formula intuitively, imagine picking a team of five players from a group of twelve players. The number of possible teams is the number of combinations of five players that can be formed from the group of twelve players.

For the first player, we have twelve choices. For the second player, we have eleven choices (since one player has already been chosen). Continuing this process, we have 12111098 ways to choose a team of five players if order matters.

However, since the order does not matter, we need to divide this number by the number of ways the five players can be arranged, which is 54321. Therefore, the number of possible teams is (12111098)/(54321) = 792.

In summary, the number of ways to draw five numbers from a group of twelve numbers without considering the order is 792. This can be calculated using the combination formula nCk = n!/((n-k)!k!), where n is the total number of items in the group and k is the number of items to be chosen.

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Answer:

69 and 69

Step-by-step explanation:

68 + 1 = 69

69 + 0 = 69

look how much people i hav helped

Answer:

I hope this helps sorry if I'm wrong

Answer:

y = 1x

Step-by-step explanation:

y

\(y \geqslant 1x + 2\)

cancel out the +2 by using the opposite sign and add a 1 in front of the x

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

-9 and -8

Step-by-step explanation:

Adding -9 to 9 would equal 0, and -9 + -8 is -17. Also if you want to check, just complete the equation just plug in those two integers :)

The equation can be written according to the problem will be –17 + 9 = –8. And the two missing integers are -8 and -9.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Aman is adding -17 + 9.

He wants to write –17 as the sum of two numbers.

So that one of the numbers, when added to 9, will equal 0.

Let the other number be x. Then

-17 + 9 + x = 0

      -8 + x = 0

             x = 8

Then the equation can be written according to the problem will be

–17 + 9 + 8 = 0

      –17 + 9 = –8

Or   –17 + 8 = –9

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a) The histogram for the data is illustrated below.

b) The cumulative percentage polygon is define in the histogram

c) The amount does the monthly electricity cost seem to be concentrated is 128 - 152

A histogram is a graphical representation of a frequency distribution. It consists of a set of bars that represent the frequency of data within certain intervals, also known as bins. The height of each bar represents the frequency or count of data points that fall within that bin.

To create a histogram for the electricity cost data, we need to first decide on the number and size of the bins. One common rule is to choose the number of bins as the square root of the sample size. In this case, we have 50 data points, so we can choose about 7 bins. The size of the bins can be determined by dividing the range of the data by the number of bins.

Once we have determined the number and size of the bins, we can create the histogram by drawing a set of bars with heights proportional to the number of data points that fall within each bin. The histogram can be further enhanced by adding labels for the x and y-axes, a title, and a legend.

As per the histogram, the amount does the monthly electricity cost seem to be concentrated is 128-152

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