help again asap pls!!!!!!!!!

Answer:

Surveying every 5th customer that enters the yogurt shop

Step-by-step explanation:

The surface area of the hemisphere is 254.34 cm^2

To find the surface area of a hemisphere, we first need to find the radius of the hemisphere using the formula for the volume of a hemisphere: V = (2/3)πr^3.

Given the volume of 486π cm³, we can set up the equation:

(2/3)πr^3 = 486π cm³

Solving for r:

r = (486π * 3/(2*π))^(1/3)

r = 9

Now we can use the formula for the surface area of a hemisphere:

A = 2πr^2

Substituting in the value of r that we just found:

A = 2π * 9^2

This gives

A = 254.34 cm^2

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Answer:

Step-by-step explanation:

I can't give you either B or D, but I can calculate the answer.

2^5

=====

(2^5)(3^5)  

The 2^5s cancel out.

1

===

3^5

Another answer could be 3^-5

or

0.004115

The process of checking the correctness of an integration answer is essentially the reverse process of integration, called differentiation. By taking the derivative and comparing it to the original function, you can confidently determine if your integration solution is accurate.

The answer to an integration question, also known as the integral, represents the accumulated sum of a given function over a specified interval. In other words, integration helps us find the area under a curve or the total accumulated value of a continuously changing quantity.
To check the answer of an integration problem and ensure its correctness, you can use the following steps:
Perform the integration: Compute the integral of the given function over the specified interval, which will result in a new function or a constant value.
Take the derivative: To verify the correctness of the computed integral, take the derivative of the resulting function (if the integral resulted in a function) or the constant value. This process is called differentiation.
Compare the derivative with the original function: After obtaining the derivative of the integral, compare this derivative to the original function given in the integration problem. If the derivative matches the original function, then the computed integral is correct.
Verify any boundary conditions: If the integration problem involves definite integrals (integrating over a specific range or interval), ensure that the computed integral satisfies any given boundary conditions or constraints.
Remember, the process of checking the correctness of an integration answer is essentially the reverse process of integration, called differentiation. By taking the derivative of the integral and comparing it to the original function, you can confidently determine if your integration solution is accurate.

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Answer:

So together they can do the yard in 2 hours and 33 minutes

Answer:

It will have 2 answers

Step-by-step explanation:

The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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Answer:

Hope it will help you a lot.

The basis for the eigenspace corresponding to each listed eigenvalue of matrix A is:

For λ = 1: [1, 0, 1]

For λ = 2: [1, 2, 1]

For λ = 3: [1, -2, 1]

The unique collection of scalars known as eigenvalues is connected to the system of linear equations. The majority of matrix equations employ it. The German word "Eigen" signifies "proper" or "characteristic."

To find the basis for the eigenspace corresponding to each listed eigenvalue of matrix A, we need to perform the following steps:

1. Find the eigenvalues of matrix A by solving the characteristic equation det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix.

The given matrix A is:

A = [2 0 -1]

  [0 -1  2]

  [0 -4  5]

Subtract λI from matrix A:

A - λI = [2-λ  0   -1]

         [0  -1-λ  2]

         [0  -4   5-λ]

The characteristic equation is:

det(A - λI) = (2-λ)[(-1-λ)(5-λ) - (2)(-4)] - (0)[(0)(5-λ) - (-4)(0)] + (-1)[(0)(-4) - (0)(2)]

Expanding and simplifying the equation:

det(A - λI) = (2-λ)(λ² - 4λ + 3) - (-1)(-4)

det(A - λI) = λ³ - 7λ² + 14λ - 9 + 4

det(A - λI) = λ³ - 7λ² + 14λ - 5

Now, we solve the characteristic equation to find the eigenvalues.

Setting det(A - λI) = 0:

λ^3 - 7λ² + 14λ - 5 = 0

Using a numerical method or factoring, we find that the eigenvalues are λ = 1, λ = 2, and λ = 3.

2. Find the eigenvectors corresponding to each eigenvalue by solving the equation (A - λI)v = 0, where v is the eigenvector.

For each eigenvalue, we solve the corresponding system of equations to find the eigenvectors.

For λ = 1:

(A - λI)v = 0

[2-1  0   -1][x] = [0]

[0  -1-1  2][y]   [0]

[0  -4   5-1][z]   [0]

Simplifying the system:

[1  0  -1][x] = [0]

[0 -2   2][y]   [0]

[0 -4   4][z]   [0]

The solution to the system is x = z and y = 0, so the eigenvector corresponding to λ = 1 is [1, 0, 1].

For λ = 2:

(A - λI)v = 0

[2-2  0   -1][x] = [0]

[0  -1-2  2][y]   [0]

[0  -4   5-2][z]   [0]

Simplifying the system:

[0  0  -1][x] = [0]

[0 -3   2][y]   [0]

[0 -4   3][z]   [0]

The solution to the system is x = z and y = 2z, so the eigenvector corresponding to λ = 2 is [1, 2, 1].

For λ = 3:

(A - λI)v = 0

[2-3  0   -1][x] = [0]

[0  -1-3  2][y]   [0]

[0  -4   5-3][z]   [0]

Simplifying the system:

[-1  0  -1][x] = [0]

[0  -4   2][y]   [0]

[0  -4   2][z]   [0]

The solution to the system is x = z and y = -2z, so the eigenvector corresponding to λ = 3 is [1, -2, 1].

Therefore, the basis for the eigenspace corresponding to each listed eigenvalue of matrix A is:

For λ = 1: [1, 0, 1]

For λ = 2: [1, 2, 1]

For λ = 3: [1, -2, 1]

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Answer:

The correct answer is A

I hope that helped.

Step-by-step explanation:

If 74 amplifiers are sampled, the probability that the mean of the sample would differ from the population mean by less than 2.8 watts is approximately 0.

The question is asking for the probability that the mean of the sample would differ from the population mean by less than 2.8 watts. We are given that the mean output of the amplifier population is 321 watts with a variance of 144, and that 74 amplifiers are sampled.

To find the probability, we can use the standard deviation, which is the square root of the variance. Therefore, the standard deviation is √144 = 12 watts.

Since we are dealing with a sample mean, we can use the formula for the standard error of the mean, which is the standard deviation divided by the square root of the sample size. In this case, the sample size is 74.

The standard error of the mean is 12 / √74 ≈ 1.3922 watts.

To find the probability that the mean of the sample would differ from the population mean by less than 2.8 watts, we can use the standard normal distribution. We can calculate the z-score using the formula: (x - μ) / σ, where x is the difference in means (2.8 watts), μ is the population mean (321 watts), and σ is the standard error of the mean (1.3922 watts).

The z-score is (2.8 - 321) / 1.3922 ≈ -231.0971.

To find the probability, we need to find the area under the standard normal curve to the left of the z-score. Using a standard normal table or a calculator, the probability is essentially 0 (rounded to four decimal places).

Therefore, the probability that the mean of the sample would differ from the population mean by less than 2.8 watts is approximately 0.

Complete Question: The mean output of a certain type of amplifier is 321 watts with a variance of 144. If 74 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 2.8 watts? Round your answer to four decimal places.

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Which question are you talking about? I mean that why is there no attachment / image of your question? How do we know what is the question?So could you pls complete your question? :)

Answer:

(1, - 12 )

Step-by-step explanation:

Given the graph of f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) - 4 represents a shift down of 4 units, that is

(1, - -8 ) → (1, - 8 - 4 ) → (1, - 12 )

The correct formula to multiply cell D5 by 105 and copy it to cell E5 would be A. =D5*105.

Calculating the sum of two or more numbers is the process of multiplication. 'A' multiplied by 'B' is how you express the multiplication of two numbers, let's say 'a' and 'b'. Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number.

The formula =D5*105 is the correct formula to multiply the value in cell D5 by 105 and display the result in cell E5.

Let's break down the formula:

- D5: This refers to the value in cell D5, which is the number you want to multiply.

- *: This is the multiplication operator, used to multiply the value in D5.

- 105: This is the number you want to multiply cell D5 by.

So, when you enter the formula =D5*105 in cell E5, it will take the value in cell D5, multiply it by 105, and display the result in cell E5. If the value in cell D5 is, for example, 10, the formula will calculate 10 * 105 = 1050 and display the result 1050 in cell E5.

By copying the formula from cell E5 to other cells, it will adjust the cell references accordingly. For example, if you copy the formula to cell E6, it will update to =D6*105, multiplying the value in D6 by 105. This makes it easier to apply the same formula to multiple cells without having to rewrite it manually.

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Step-by-step explanation:

We are supposed to write the equation in slope intercept form of a line . Firstly we know the slope intercept form as ,

\(\implies\sf y = mx + c \)

Where ,

Now by question , the given data is ,

On substituting the respective values we have ,

\(\sf\implies y = 3 * x + (-3)\\\\\sf\implies\red{ y = 3x - 3 } \)

Hence the slope intercept form is y = 3x - 3 .

Answer:

I think that it should be

\( {(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)\)

Step-by-step explanation:

Here,

we take , a - b = A,b-c = B , c - a= C

A+B+C = 0

we know that,

\( {a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca)\)

Here , A+B+C = 0

so,

A^3 +B^3 + C^3 = 3 ABC

now we put the values

\({(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)\)

I am done .

I think that it should be

{(a - b)}^{3}  +  {(b - c)}^{3}  +  {(c - a)}^{3}  = 3(a - b)(b - c)(c - a)

Step-by-step explanation:

Here,

we take , a - b = A,b-c = B , c - a= C

A+B+C = 0

we know that,

{a}^{3}  +  {b}^{3}  +  {c}^{3}   - 3abc = (a + b + c)(  {a}^{2}  +  {b}^{2}  +  {c}^{2}  - ab - bc - ca)

Here , A+B+C = 0

so,

A^3 +B^3 + C^3 = 3 ABC

now we put the values

{(a - b)}^{3}  +  {(b - c)}^{3}  +  {(c - a)}^{3}  = 3(a - b)(b - c)(c - a)

I am done .

Answer:

17

Step-by-step explanation:

Answer:

plot 17

Step-by-step explanation:

12-(-5) = 12+5 = 17

The probability of rolling a sum of 6 when two standard six-sided dice are rolled is 5/36, or approximately 0.139.

The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out.

There are 36 possible outcomes when two standard six-sided dice are rolled. Each die has 6 possible outcomes, so the total number of outcomes is 6 x 6 = 36.

To find the probability of rolling a sum of 6, we need to count the number of ways we can get a sum of 6. There are five possible ways to get a sum of 6:

- Roll a 1 on the first die and a 5 on the second die

- Roll a 2 on the first die and a 4 on the second die

- Roll a 3 on the first die and a 3 on the second die

- Roll a 4 on the first die and a 2 on the second die

- Roll a 5 on the first die and a 1 on the second die

So, the probability of rolling a sum of 6 is 5/36.

Therefore, the probability of rolling a sum of 6 when two standard six-sided dice are rolled is 5/36, or approximately 0.139.

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Therefore, the above sides  and angles will be the corresponding angles and sides of a similar triangle.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have an identical appearance.

Here,

In the event that "CAT"

As per SSS guideline, we receive

CA=DO

AT=OG

CT=DG

The congruent triangles' corresponding angles will also be:

∠CAT = ∠DOG

∠ATC = ∠OGD

∠ACT = ∠ODG

Two triangles are similar if they are congruent with one another.

if ∆CAT≅∆DOG

Next,∆CAT~∆DOG

As a result, the angles and sides of the triangle with the same sides as those above will be the same.

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Answer:

y = 2x - 4

Step-by-step explanation:

To solve this problem, we must first calculate the slope of the line AB using the formula:

\(\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

where:

m ⇒ slope of the line

(x₁, y₁), (x₂, y₂) ⇒ coordinates of two points on the line

Therefore, for line AB with points A = (2, 5) and B = (4, 4) :

\(m_{AB} = \frac{5 - 4}{2 - 4}\)

⇒ \(m_{AB} = \frac{1}{-2}\)

⇒ \(m_{AB} = -\frac{1}{2}\)

Next, we have to calculate the slope of the line BC.

We know that the product of the slopes of two perpendicular lines is -1.

Therefore:

\(m_{BC} \times m_{AB} = -1\)      [Since BC and AB are at right angles to each other]

⇒ \(m_{BC} \times -\frac{1}{2} = -1\)

⇒ \(m_{BC} = -1 \div -\frac{1}{2}\)      [Dividing both sides of the equation by -1/2]

⇒ \(m_{BC} = \bf 2\)

Next, we have to use the following formula to find the equation of line BC:

\(\boxed{y - y_1 = m(x - x_1)}\)

where (x₁, y₁) are the coordinates of a point on the line.

Point B = (4, 4) is on line BC, and its slope is 2. Therefore:

\(y - 4 =2 (x - 4)\)

⇒ \(y - 4 = 2x - 8\)         [Distributing 2 into the brackets]

⇒ \(y = 2x-4\)

Therefore, the equation of line BC is y = 2x - 4.

Answer:

-3.1, -3.2, -3.3, -3.4, -3.5, -3.6

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

7+7

Calculate.

7+7 = 14

Answer:

4/19

Step-by-step explanation:

Answer:

795

Step-by-step explanation:

First, we find the circumference of 1 ring.

c = 2πr

c = 2 × 3.14159 × 8.4 mm

c = 52.7787 mm

The circumference of 1 ring is the length of spooled gold used for 1 ring.

The spool has a total length of 42 m.

42 m × 1000 mm / 1 m = 42,000 mm

The spool has a total length of 42,000 mm.

Now we divide the length of the spool by the length of 1 ring.

42,000 mm / 52.7787 mm = 795.78

He can make 795 rings.

Answer:that hard

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

In a case whereby Kouroche is organising an overnight camping trip. the cost of renting a cabin is $20. (flat rate)  if cost of food is $9 per person .  the amount it will the trip cost if 5 people go is $65.

Based on the given information that cost of food for each person = $9

And the  cost of renting a cabin= $20

Then we can calculate the amount it will the trip cost if 5 people go which can be expressed as ;

[ 20 + (9*5)]

=(20 + 45)

=$65

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Check the complete question:

Kouroche is organising an overnight camping trip. the cost of renting a cabin is $20. (flat rate) The cost of food is $9 per person .  how much will the trip cost if 5 people go?

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.

Given the demand equations and the total cost function:

Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1

Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2

Total Cost: TC = 120 + 4Q

To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:

MR1 = MC:

16 - 0.2Q1 = 4

0.2Q1 = 12

Q1 = 60

MR2 = MC:

10 - 0.1Q2 = 4

0.1Q2 = 6

Q2 = 60

Substituting the quantities back into the demand equations, we find:

P1 = 16 - 0.1(60) = 10

P2 = 10 - 0.05(60) = 7

The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:

TR = P1 * Q1 + P2 * Q2

TR = (10 * 60) + (7 * 60)

TR = 600 + 420

TR = 1020

The total cost (TC) is given by the total cost function:

TC = 120 + 4Q

TC = 120 + 4(60 + 60)

TC = 120 + 480

TC = 600

Finally, the profit (π) can be calculated by subtracting total cost from total revenue:

π = TR - TC

π = 1020 - 600

π = 420

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

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The total combination will be, 45195 if the selecting dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Selecting a dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.

It is a combination problem:

Selecting 6 girls out of 20 = C (20, 6)

Selecting 7 boys out of 15 = C (15, 7)

Total combination = C (20, 6) + C (15, 7)

= 38760 + 6435

= 45195

Thus, the total combination will be, 45195 if the selecting dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.

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Answer: 18/1

Step-by-step explanation:

13 + 4 = 17

1/4 + 3/4 = 1

17 + 1 = 18

Answer:

18

Step-by-step explanation:

13 1/4= 13.25 and 4 3/4=4.75. 13.25+4.75=18

Hope this helped!