in a circle with radius 5, an angle intercepts an arc of length \frac{25\pi}{6} 6 25π . find the angle in radians in simplest form.

Answer: tan(F)

Step-by-step explanation:

Answer: C). tan(F)

Step-by-step explanation:

The normal approximation to the sampling distribution of a proportion can be used when both np and n(1-p) are greater than or equal to 10.

In this problem, we are selecting an SRS of size n=100 from a large population with a proportion p of successes. We need to find the value of p that would make it safe.

To use the normal approximation to the sampling distribution of p.

For each given value of p, we can calculate np and n(1-p), and then determine whether both of these values are greater than or equal to 10.

a) p = 0.85

np = 85, n(1-p) = 15

Both np and n(1-p) are greater than or equal to 10, so the normal approximation is safe.

b) p = 0.975

np = 97.5, n(1-p) = 2.5

Only np is greater than or equal to 10, so the normal approximation is safe.

c) p = 0.999

np = 99.9, n(1-p) = 0.1

Only np is greater than or equal to 10, so the normal approximation is safe.

d) p = 0.01

np = 1, n(1-p) = 99

Only n(1-p) is greater than or equal to 10, so the normal approximation is safe.

e) p = 0.09

np = 9, n(1-p) = 91

Only n(1-p) is greater than or equal to 10, so the normal approximation is safe.

Therefore, for all given values of p, it is safe to use the normal approximation to the sampling distribution of p.

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Answer:

$6.81 or 681 US Cents

Step-by-step explanation:

100 - 19 = 81

7 - 1 = 6

$7.00 - .19 = $6.81

or 681 US Cents.

================================================

Explanation:

x = radius of the circle

The vertical leg of the right triangle is also x. The horizontal leg is 99.

The hypotenuse is x+81

We have these triangle side lengths:

Use the pythagorean theorem to tie them all together, which will allow us to solve for x.

\(a^2+b^2 = c^2\\\\\text{x}^2+99^2 = (\text{x}+81)^2\\\\\text{x}^2+9801 = \text{x}^2+162\text{x}+6561\\\\9801 = 162\text{x}+6561\\\\9801-6561 = 162\text{x}\\\\3240 = 162\text{x}\\\\\text{x} = 3240/162\\\\\text{x} = 20\)

A tool like GeoGebra or WolframAlpha can be used to confirm the answer is correct.

The two possible solutions for the given equation are -

[x] = 0.696 and [x] = 3.054.

Given is the equation as follows -

6(x - 3).2(4x - 3) = 6

We have the equation as -

6(x - 3).2(4x - 3) = 6

12(x - 3)(4x - 3) = 6

(x - 3)(4x - 3) = 6/12

(x - 3)(4x - 3) = 1/2

x(4x - 3) - 3(4x - 3) = 1/2

4x² - 3x - 12x + 9 = 1/2

4x² - 15x + 9 = 1/2

2(4x² - 15x + 9) = 1

8x² - 30x + 18 = 1

8x² - 30x + 17 = 0

(x - 0.696)(x - 3.054) = 0

(x - 0.696) = 0     and     (x - 3.054) = 0

x = 0.696     and    x = 3.054

Therefore, the two possible solutions for the given equation are -

[x] = 0.696 and [x] = 3.054.

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Answer:

294384

Step-by-step explanation:

Answer:

294384

Step-by-step explanation:

24532x12=294384

The algebraic expression of the statement given as the difference of 27 and 5​ is 27 - 5

The statement is given as:

the difference of 27 and 5​

Difference means minus.

The minus sign is represented as -

This means that the statement given as: the difference of 27 and 5​

Can be represented as

27 minus 5

So, have

27 - 5

Hence, the algebraic expression of the statement given as the difference of 27 and 5​ is 27 - 5

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The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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(1) The statement that, "The $2 million is appropriate cash-inflow for the new edition of the book" is False because the cash-inflow is $1.8 million.

(2) The statement that, "Companies should use accounting profits, not cash flows, to make capital budgeting decisions" is False because, companies should focus on cash flows.

Part (1) The $2 million is not appropriate "cash-inflow" for "new-edition" of book. The $2 million represents "expected-sales" revenue from the new edition of "Foundation of Finance," but it does not take into account any costs or expenses associated with producing or marketing the book.

It is mentioned that $200,000 would have been spent on existing past edition of textbook. This expense needs to be deducted from expected sales revenue to determine the appropriate cash inflow.

So, appropriate cash-inflow for the new edition would be $2 million minus $200,000, which equals $1.8 million.

So, the statement is False.

Part (2) : Companies should use cash flows, not accounting-profits, to make capital budgeting decisions. Accounting-profits, also known as net income or earnings, are calculated based on accrual accounting principles and include non-cash items such as depreciation and amortization.

When making capital budgeting decisions, it is essential to consider the actual "cash-flows" generated by an investment project. Cash flows represent the cash inflows and outflows that occur over a specific period, and they are crucial for evaluating the feasibility and profitability of an investment.

Therefore, the statement is False.

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Step-by-step explanation:

Well in general, we can represent subtraction as: \(x-y=z\)

"z" represents the difference, and it really just represents x with y taken away. So if we were to "give back" this y value, we should get "x".

This means that: \(z+y=x\)

So one way to check, is adding the value that's being subtracted (y value) and the difference (z value), this should get you the value that is being subtracted from (x value). If you don't get the original value that's being subtracted from (x-value) then you know the answer you got is wrong.

The value of u is not provided, we cannot determine the exact value of y. None of the given options (a, b, c, d) can be chosen as the approximate value of y.

For the first question, you are given the model yhat = 2.1 + 1.0x^2 and you want to find the estimated marginal effect of x on y when x = 1.3. To find the estimated marginal effect, you need to take the derivative of yhat with respect to x. In this case, the derivative would be 2.0x.

Now, substitute x = 1.3 into the derivative:

2.0(1.3) = 2.6.

Therefore, the estimated marginal effect of x on y when x = 1.3 is 2.6.

For the second question, you are given the model \(lny = β₁ + β₂x^2 + u\), with parameter estimates

β₁ = 2 and

β₂ = 1.

To predict the value of y when x = 2, substitute the given values into the model:
\(lny = 2 + 1(2^2) + u\)
lny = 2 + 1(4) + u
lny = 2 + 4 + u
lny = 6 + u

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As Malia walks her dog 140% of the distance walked by Tiara’s, so Tiara walks her dog less as compared to Malia’s. And the distance Tiara walks her dog is 5 miles.

Let us consider the distance covered by Tiara and Malia in walking their dogs be ‘x’ and ‘y’ respectively.

we have been provided with the value of ‘y’,  i.e.

                                               y = 7 miles

Now,

            Distance walked by Malia’s dog = 140% of the distance walked by Tiara’s dog

                                                               Or

                                                            y  = 140/100 × x

                                                            7   =  140/100 × x

Therefore,                                           x   =  100/140 × 7

                                                            x   = 5 miles

Hence, the distance Tiara walked her dog was 5 miles.

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The probability that (x, y) falls inside a circle of radius r = 0 is 1/2, which is equivalent to saying that the probability that (x, y) is exactly equal to (0,0) is 1/2.

The joint distribution of x and y is given by:

f(x, y) = (1/(2π)) × exp (-(x²2 + y²2)/2)

To find the probability that (x,y) falls inside a circle of radius r, we need to integrate this joint distribution over the circle:

P(x²2 + y²2 <= r²2) = ∫∫[x²2 + y²2 <= r²2] f(x,y) dx dy

We can convert to polar coordinates, where x = r cos(θ) and y = r sin(θ):

P(x²+ y²2 <= r²2) = ∫(0 to 2π) ∫(0 to r) f(r cos(θ), r sin(θ)) r dr dθ

Simplifying the integrand and evaluating the integral, we get:

P(x²2 + y²2 <= r²2) = ∫(0 to 2π) (1/(2π)) ×exp(-r²2/2) r dθ ∫(0 to r) dr

= (1/2) × (1 - exp(-r²2/2))

Now we need to find the value of r for which this probability is 1/2:

(1/2) × (1 - exp(-r²2/2)) = 1/2

Simplifying, we get:

exp(-r²2/2) = 1

r²2 = 0

Since r is a non-negative quantity, the only possible value for r is 0.

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Step-by-step explanation:

write what you know

the flat fee doesnt chamge no matter how much he uses his data

the charge for every gigabyte does change

Ex: if he uses 3 gigabytes of data in one month, that's

5 + 5 + 5 = $5 x 3 = $15

So taking this into consideration youd write the following

$41.50 + $5x = $52.50 (since this is what we want to equal)

then solve for x

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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They used 33/100 of their money on equipment which means if they have a budget of 900 dollars they used...

900*33/100=9*33=297 dollars on equipment.

The amount used on equipment is $297.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Budget = $900

Percentage of the budget used.

= 33%

Now,

The amount of budget used.

= 33% of 900

= 33/100 x 900

= $297

Thus,

The amount used on equipment is $297.

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The corrector integration did not converge due to the delta-x convergence threshold of 0.010000 not being met, and the maximum number of corrector steps was exceeded.

In the given scenario, the corrector integration did not converge, indicating that the solution did not reach a stable state within the defined constraints. This failure can be attributed to two factors: the delta-x convergence threshold and the maximum number of corrector steps.

The delta-x convergence threshold, set at 0.010000, serves as a measure of how close the successive iterations of the corrector method should be to each other for convergence.

If the difference between consecutive iterations falls below this threshold, it signifies convergence. However, in this case, the threshold was not met, indicating that the iterations were not getting sufficiently close to each other.

Additionally, the maximum number of corrector steps was exceeded, suggesting that the iterations continued beyond the allowed limit. This could be due to the complexity of the problem or the initial conditions, preventing the solution from stabilizing within the given constraints.

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Answer:y= x + 7 +10

Step-by-step explanation:

Answer:

its y = x-5 -10

Step-by-step explanation:

b on edge 2020

Answer:

Total flour used = 3 1/6 c

Step-by-step explanation:

Whole wheat flour = 1 1/2 c

Buckwheat flour = 1 2/3 c

How much flour did he use in all?

Total flour used = Whole wheat flour + buckwheat flour

= 1 1/2 c + 1 2/3 c

= 3/2 c + 5/3 c

= (9c + 10c) / 6

= 19c/6

= 3 1/6 c

Total flour used = 3 1/6 c

Answer:

a + b = 5 ...........1

6a + 4b = 24.50 ......... 2

Step-by-step explanation:

Let a be the amount of pounds of apricot bought

Let b be the amount of pounds of banana bought

If he buys a total pounds of 5 pounds then;

a + b = 5 ...........1

Also if a pound's of apricots for $6 per pound, total amount of aprciots bought will be $6a

Also if b pound's of banana is for $4 per pound, total amount of banana bought will be $4b

If he spends a total of $24.50 on both banana and apricots, then:

6a + 4b = 24.50 ......... 2

The system of equations that represents the constraints in the situation is:

a + b = 5 ...........1

6a + 4b = 24.50 ......... 2

Answer: C

Step-by-step explanation:

The perimeter of the triangle XYZ according to the midsegment theorem is 37

The midsegment theorem states that the segment that is obtained by joining the midpoints of two sides of a triangle is parallel to the third side and it is half the length of the third side of the triangle.

The specified parameters are;

The midpoint of \(\overline{XY}\) = A

The midpoint of \(\overline{YZ}\) = B

The midpoint of \(\overline{XZ}\) = C

The length of segment AC = 5

The length of segment BC = 6

The length of side XZ = 15

The segments AC, BC, and AB are midsegments of the triangle XYZ

According to the midsegment theorem, we get

AC = 0.5 × \(\overline{YZ}\)

BC = 0.5 × \(\overline{XY}\)

AB = 0.5 × \(\overline{XZ}\)

Therefore;

2 × AC = \(\overline{YZ}\)

2 × BC = \(\overline{XY}\)

2 × AB = \(\overline{XZ}\)

\(\overline{YZ}\) = 2 × 5 = 10 (substitution property)

\(\overline{XY}\) = 2 × 6 = 12 (substitution property)

The perimeter of the triangle = \(\overline{YZ}\) + \(\overline{XY}\) + \(\overline{XZ}\)
Plugging in the values, of \(\overline{YZ}\), \(\overline{XY}\), and \(\overline{XZ}\)  we get;

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patternpatternGreat!

The patteren is 1, 4, 9, 16,...

All these numbers are square numbers, which means

1 * 1 = 1

2 * 2 = 4

3 * 3 = 9

4 * 4 = 16

That means

1st term = 1^2

2nd term = 2^2

3rd term = 3^2

4th term = 4^2

so

nth term = n^2

The conjecture is

The pattern is 100%, 93%, 86%, ...........

Since 93% - 100% = -7%

Since 86% - 93% = -7%

Then this pattern is decreases by 7%

So it is an arithmetic sequence

Its rule is:

Where a is the first term

d is the constant difference

n is the position of the number

Since a = 100%

Since d = -7%

Let us substitute these values in the rule

Simplify it

an = 100% + (n)(-7%) + (-1)(-7%)

an = 100% + (-7n%) + (7%)

Add the like terms

an = (100% + 7%) - 7n%

an = 107% - 7n%

Let us check the rule

What is the 3rd term

n = 3

a3 = 107% - 7(3)%

a3 = 107% - 21%

a3 = 86% which is true

Step-by-step explanation:

then let's change that. you don't want to stay a dumdum, right ?

midpoint. what does that mean ? it is the point exactly in the middle between 2 other points.

what does that mean to be in the middle between 2 other things ?

well, it means that the distance is the same to both other things. otherwise it would not be the middle.

therefore,

4.

QS = 56 ft

exactly the same distance as PQ.

PS = PQ + QS

because Q is the point in the middle between P and S.

it is really that simple.

5.

the line segment PQ is bisected (cut in half) by the line segment MN at point R.

so, we know what the intersection of PQ and MN did to PQ (cut PQ in half). but this does not tell us what it did to MN. it could be also one of the ends of MN that cut PQ in half. we simply don't know.

therefore, we cannot say anything about the midpoint of MN.

and therefore the first 2 answer options are not generally correct. they COULD be correct, but they could be also wrong. therefore they are mathematically and logically not a true statement per se. for that the statement needs to be true unconditionally = in all possible cases.

R is the midpoint of PQ. yes, correct. that's what is meant by being bisected or cut in half at that point.

since the 3rd answer option is correct, the 4th answer option (none of these) is incorrect.

W and is orthogonal to all vectors in W except itself, we have shown that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W, and hence W=Rn.

To show that W=Rn, we need to show that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W.

Let v be any vector in Rn. Since the n non-zero orthogonal vectors span W, we can write v as a linear combination of them:

v = c1v1 + c2v2 + ... + cnvn

where c1, c2, ..., cn are scalars, and v1, v2, ..., vn are the n non-zero orthogonal vectors that span W.

To show that v is in W, we need to show that v is orthogonal to all vectors in W except itself. Since the n non-zero orthogonal vectors are linearly independent, any linear combination of them that is orthogonal to v must be the zero vector.

Therefore, if w is any vector in W that is not equal to v, we have:

=  = c1 + c2 + ... + cn = 0

since v is orthogonal to all the non-zero orthogonal vectors. This means that v is orthogonal to all vectors in W except itself.

Therefore, since v is in W and is orthogonal to all vectors in W except itself, we have shown that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W, and hence W=Rn.

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Answer:

1 / (3 - √x³)

Step-by-step explanation:

∛x = x^1/3

^1/3 means the exponent is 1/3

then the derivative is:

d/dx ∛x = d/dx x~1/3 = 1/3*x~(1/3 - 1) = 1/3 x~-2/3 = 1/3 * (1/√x³)

= 1 / (3*√x³)

Hope it helps.

Snow after 3 hours:

8+(2.5)(3)=

15.5

Snow after T hours of falling:

2.5t+8

Answer:

after 3 hours: 8+(2.5)(3)= 15.5

after t hours: 2.5t+8

Step-by-step explanation:

Answer:

To determine the amount of oil needed per cup of water, we need to find the ratio between the oil and water quantities given in the recipe.

According to the recipe:

1/4 cup of oil is required for every 2/3 cup of water.

To find the amount of oil needed per cup of water, we can set up a proportion:

1/4 cup of oil / 2/3 cup of water = x cups of oil / 1 cup of water

To solve for x, we can cross-multiply and then divide:

(1/4) * (1 cup of water) = (2/3) * (x cups of oil)

1/4 = (2/3) * (x cups of oil)

To isolate x, we can multiply both sides of the equation by the reciprocal of (2/3), which is (3/2):

(1/4) * (3/2) = (2/3) * (x cups of oil) * (3/2)

3/8 = (2/3) * (x cups of oil) * (3/2)

Now, let's simplify the equation:

3/8 = x/1

x = 3/8

Therefore, per cup of water, you would need approximately 3/8 cups of oil.

Step-by-step explanation: