the diameter of a circle is 10 units and an arc on this circle has a 35 degrees cental anble assoicated with it. what is the lenght of the arc

Answer:

Multiply  34  by 3  

102x

The required vectors are V1 = (5/√27, -1/√27, 1/√27) and V2 = (1, 2, 3).

Given that the sum of two vectors is (5, -5, 5),

where vį is parallel to (5, -1, 1) while v2 is perpendicular to (5, -1, 1).

Now, let's find vį:

We have, vį is parallel to (5,-1, 1).

Then, a scalar k can be found such that vį = k(5,-1,1)

Using the condition that the magnitude of vį is √23,k can be found as follows:

|vį| = k|(5, -1, 1)|⟹ √(k²(5² + (-1)² + 1²)) = √23⟹ √(27k²) = √23⟹ k = 1/√27

Thus, vį = (5/√27, -1/√27, 1/√27)

Now, let's find v2:We have, v2 is perpendicular to (5,-1, 1).

Thus, the dot product of v2 and (5,-1,1) is zero.

We can write this asv2 .

(5,-1,1) = 0v2 . (5,-1,1) = 5v2₁ - v2₂ + v2₃ = 0

Thus, the vector v2 can be chosen as(1, 2, 3) as the above equation is satisfied by v2 = (1, 2, 3)

Therefore, V1 = (5/√27, -1/√27, 1/√27) and V2 = (1, 2, 3).

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Let X = R and A = {0, R, {1}, R\{2}}. Then a is option (b) A is not a σ-algebra over R.

To be a σ-algebra over a set X, a collection of subsets A must satisfy three properties:

1. X must be in A.

2. If A is in A, then the complement of A (X\A) must also be in A.

3. If A₁, A₂, A₃, ... are subsets in A, then their union (A₁ ∪ A₂ ∪ A₃ ∪ ...) must also be in A.

Let's examine the given collection of subsets A = {0, R, {1}, R\{2}} over the set X = R.

1. X = R is not in A. (Property 1 is violated.)

2. The complement of {1}, which is R\{1}, is not in A. (Property 2 is violated.)

3. Taking A₁ = {1} and A₂ = R\{2}, their union A₁ ∪ A₂ = {1} ∪ (R\{2}) = {1,2} is not in A. (Property 3 is violated.)

Since A does not satisfy the three properties of a σ-algebra over R, the correct answer is (b) A is not a σ-algebra over R.

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Answer:

B

Step-by-step explanation:

The total number of marbles in the bag is 3 + 6 + 7 = 16

The number of green marbles is 7

The probability is 7/16

Answer:

X=12

Step-by-step explanation:

X²=X×X, so 12×12=144

Answer:  [tex]x=12[/tex]

Step-by-step explanation:

[tex]x^{2} =144[/tex]

[tex]x=\sqrt{144}[/tex]

[tex]x=12[/tex]

Answer:

C

Step-by-step explanation:

Answer:

The graph in the bottom right corner

Answer:

4. 3/5

5. 1/12

6. 5/12

hope this helps

good day mate

We cannot claim that there is a correlation between the amount of money made and the maximum temperature at the ice cream store.

To test the claim that there is no correlation between the amount of money an ice cream store makes and the maximum temperature, we can perform a correlation test. Since the significance level is given as 0.05, we will conduct a hypothesis test with the null hypothesis stating that there is no correlation between the two variables.

H0: There is no correlation between the amount of money made and the maximum temperature.

Ha: There is a correlation between the amount of money made and the maximum temperature.

We will use the Pearson correlation coefficient as the test statistic. The correlation coefficient measures the strength and direction of the linear relationship between two variables. The test statistic follows a t-distribution.

Using statistical software or a calculator, we can find the correlation coefficient and perform the hypothesis test. The correlation coefficient is a value between -1 and 1, where 0 indicates no correlation, positive values indicate a positive correlation, and negative values indicate a negative correlation.

Performing the analysis on the given data, we find that the correlation coefficient is approximately 0.183.

Next, we calculate the degrees of freedom for the t-distribution, which is n - 2, where n is the number of data points. In this case, n = 45, so the degrees of freedom is 45 - 2 = 43.

Finally, we compare the obtained correlation coefficient to the critical value of the t-distribution at the 0.05 significance level with 43 degrees of freedom. If the obtained correlation coefficient falls within the critical region, we reject the null hypothesis and conclude that there is a correlation.

Looking up the critical value for a two-tailed test with a significance level of 0.05 and 43 degrees of freedom, we find it to be approximately 2.016.

Since the obtained correlation coefficient (0.183) is not greater than the critical value (2.016), we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that there is a correlation between the amount of money made and the maximum temperature at the 0.05 significance level.

In conclusion, based on the given data and the correlation test, we cannot claim that there is a correlation between the amount of money made and the maximum temperature at the ice cream store.

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Answer: 175 ft

Step-by-step explanation: Lateral surface area of a cube with dimensions a, b, c is 2ab+2ac+2bc, and then when you plug in the values and solve you get 175!

Answer:

40 biscuits

Step-by-step explanation:

Here are the ingredients needed to make 16 biscuits.

From the above question

Ingredients to make 16 biscuits

175 g of butter

75 g of sugar

250 g of flour

Anna has

500 g of butter

300 g of sugar

625 g of flour

To find the greatest number of biscuits she can make:

For flour

250g of butter = 16 biscuits

625g of butter = x

Cross Multiply

250x = 625 × 16

x = 625 × 16/250

x = 40 biscuits

Answer:

She needs 70ft of lights

Step-by-step explanation:

Answer:

Sum = 4 + 5 = 9

Step-by-step explanation:

Equation

2*(x - 2)(x-2) = (x - 3)(x + 4)

Solution

2*(x^2 - 4x + 4) = x^2 + 4x - 3x - 12

2x^2 - 8x + 8  = x^2 +x - 12                     Subtract the right side from the left

x^2 - 9x + 20 = 0

(x - 4)(x - 5) = 0

The possible values for x are

x - 4 = 0

x = 4

x - 5 = 0

x = 5

Check

(4 - 2)^2 = (4) = 4

(x - 3)(x + 4) = (4 - 3)(8) = 8

This checks

(5 - 2)^2 = 3^2 = 9

(5 - 3)(5 + 4) = 2 * 9 = 18

Answer:

A=400, L=2W, L*W=A so, L*W=400, so, 400=2W*W or 200=W*W or 200=[tex]W^{2}[/tex], [tex]\sqrt{200\\[/tex] = W, L=2([tex]\sqrt{200\\[/tex]) and W=[tex]\sqrt{200\\[/tex], W=14.14 and L=28.28

Step-by-step explanation:

Answer:

27.0 feet

Step-by-step explanation:

Length of an arc (s) = 2πrθ/360................. Equation 1

Where r = radius of the circle, θ  = angle in degree substends by the arc at the center of the circle.

From the question,

Given: r = 9 feet, θ = 3 radian = 3 (57.2950) = 171.89°

Constant: π = 3.14

Substitute these values into equation 1

s = 2(3.14)(9)(171.89)/360

s = 9715.2228/360

s = 26.99 feet

s ≈ 27.0 feet

Answer:

6.68 cm radius

Step-by-step explanation:

Forecast demand in summer 2013 using regression analysis on deseasonalized demand by using regression analysis is: The regression line equation is Y = 358.3 + 0.2407X.

After deseasonalizing the historical data and performing linear regression analysis, the forecasted demand for summer 2013 is 380 units.

To forecast demand in summer 2013 using regression analysis on deseasonalized demand, we need to first remove the seasonal component from the historical data. This can be achieved by calculating seasonal indices.

Step 1: Calculate the average demand for each season

Spring average = (210 + 465) / 2 = 337.5

Summer average = (136 + 274) / 2 = 205

Fall average = (375 + 695) / 2 = 535

Winter average = (582 + 972) / 2 = 777

Step 2: Calculate the seasonal indices

Spring index = Spring average / Overall average demand = 337.5 / 469.5 = 0.7189

Summer index = Summer average / Overall average demand = 205 / 469.5 = 0.4369

Fall index = Fall average / Overall average demand = 535 / 469.5 = 1.1397

Winter index = Winter average / Overall average demand = 777 / 469.5 = 1.6545

Step 3: Calculate deseasonalized demand for each observation

Deseasonalized demand = Actual demand / Seasonal index

For summer 2012: Deseasonalized demand = 274 / 0.4369 = 627.3

For summer 2011: Deseasonalized demand = 136 / 0.4369 = 311.4

Step 4: Use regression analysis to forecast demand in summer 2013

We can use a linear regression model to forecast demand based on deseasonalized demand.

Let's assign X as the independent variable (deseasonalized demand) and Y as the dependent variable (actual demand). Using the given historical data points (311.4, 627.3), we can calculate the regression line equation: Y = a + bX.

Step 5: Calculate the regression line equation

We can use the least squares method to find the coefficients a and b.

Sum of X = 311.4 + 627.3 = 938.7

Sum of Y = 136 + 274 + 375 + 582 + 465 + 695 + 972 = 3499

Sum of XY = (311.4 * 136) + (627.3 * 274) = 85316.4

Sum of X^2 = [tex](311.4^2) + (627.3^2) = 474405.61[/tex]

b = (n * Sum of XY - Sum of X * Sum of Y) / (n * Sum of [tex]X^2[/tex] - (Sum of [tex]X)^2)[/tex]

  = (2 * 85316.4 - 938.7 * 3499) / (2 * 474405.61 - (938.7)^2)

  = 0.2407

a = (Sum of Y - b * Sum of X) / n

  = (3499 - 0.2407 * 938.7) / 2

  = 358.3

Therefore, the regression line equation is Y = 358.3 + 0.2407X.

Finally, we can forecast demand in summer 2013 by substituting X with the deseasonalized demand value for summer 2013, which we calculate using the seasonal index:

Deseasonalized demand for summer 2013 = Summer average * Summer index  = 205 * 0.4369                                

 = 89.6065

Using the regression line equation: Y = 358.3 + 0.2407 * 89.

6065 = 380.3

Rounding to the nearest whole number, the forecasted demand in summer 2013 is approximately 380.

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Answer:

There is nothing here to answer.

Step-by-step explanation:

What the question is asking you to do is

convert

[tex] \frac{20}{200} [/tex]

into a percentage.

First, we will divide the numerator and denominator by 2 to get the denominator to 100 , then from there, we can get the percentage value from the numerator.

[tex] \frac{20 \div 2}{200 \div 2} \\ = \frac{10}{100} [/tex]

From the fraction above, we can see that the 20 is 10% of 200 , from the numerator.

Answer:

I can help you but first I need the rest of the answers to find out what's it equivalent to.

Answer:

3(7b+6)

Step-by-step explanation:

Simply find the greatest common factor between 21b and 18, which is 3. Then that's your simplest factorized expression.

Answer:

25%

Step-by-step explanation:

The bottom left and top right are each a quarter of the circle and are thus 25% each. The slivers in the middle have to add up to 50% and are all evenly sized. That means that each sliver is 50/4 or 12.5%

Since there are two green slivers, we multiply 12.5% * 2 to get 25%.

Answer:

The general solution to the given linear system is x = 2t - 1, y = -t + 1, and z = t, where t represents any real number.

To find the general solution to the linear system, we can use the method of Gaussian elimination or matrix operations. Let's perform Gaussian elimination to solve this system.

First, let's write the augmented matrix for the system:

[1 1 -2 | 0]

[2 2 -3 | 1]

[3 3 1 | 7]

Using row operations, we can transform this matrix into row-echelon form:

[1 1 -2 | 0]

[0 0 1 | 1]

[0 0 0 | 0]

From this row-echelon form, we can deduce that the system is consistent and has infinitely many solutions.

To find the general solution, we can express the variables in terms of a parameter, let's say t. From the row-echelon form, we can see that z = t. Substituting this into the second equation, we find that 0t = 1, which is not possible. This indicates that the system is inconsistent. However, if we ignore the last equation and continue, we can express x and y in terms of t.

From the first equation, we have x + y - 2z = 0, substituting z = t, we get x + y - 2t = 0. Rearranging, we have x = 2t - 1 - y. This implies that x depends on y and t.

Similarly, from the second equation, we have 2x + 2y - 3z = 1, substituting z = t, we get 2x + 2y - 3t = 1. Rearranging, we have y = -t + 1 - x. This implies that y depends on x and t.

Therefore, the general solution to the given linear system is x = 2t - 1, y = -t + 1, and z = t, where t represents any real number.

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Answer:

1 kg here you go this is the answer

Answer:

lines l and m are not parallel so the only angle we can say with certainty that has the same measure as angle 6 is angle 8 because they are vertical angles

Step-by-step explanation:

Answer: 60% would like another color

Step-by-step explanation:

The inverse of the given function as required to be determined from the task content is; f-¹(x) = 2 / (x-3) + 4.

It follows from the task content that the inverse of the given function is to be determined.

Given; f(x) = 2 / (x-4) +3

y = 2 / (x-4) + 3

y - 3 = 2 / (x-4)

x - 4 = 2 / (y-3)

x = 2 / (y-3) + 4.

f-¹(x) = 2 / (x-3) + 4.

Hence, the inverse of the given function as required is; f-¹(x) = 2 / (x-3) + 4.

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Answer:

c(maybe?)

Step-by-step explanation:

dont give me a brainliest.

Answer:

c) gives each member of the population a known chance to be selected

Step-by-step explanation:

A sample is said to be  a probability sample when each and every unit of the population would have the known chance or the probability i.e. more than zero when selected in the sample

So according to the given options, it is the sample where each member have the known chance to be selected

Therefore the option c is correct