What is the probability of spinning a spinner numbered from 1 to 16 and not landing on a number divisible by 3.​

Answer:

Brainlist pls?

Step-by-step explanation:

The Answer is B

Answer:

the answer is c

Step-by-step explanation:

took the assignment

(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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Answer:

d= -79

Step-by-step explanation:

Subtract 18 from both sides which isolates d.

You then have your answer! Have a great day!

Answer:

\(a_{14} = 10496\)

Step-by-step explanation:

A geometric sequence is of the form:

\(ar^0, ar^1, ar^2, ar^3, \cdot \cdot \cdot\)

So the given values can be represent as:

\(1. \quad ar^5 = \frac{41}{256}\\2. \quad ar^{10} = -164\)

So you have a system of equations with two unknows \(a\) and \(r\). Then you can find one unknow in terms of the other.

\(a = \frac{-164}{r^{10}}\)

Now replace \(a\) in the first equation

\(\frac{-164}{r^{10}}r^5 = \frac{41}{256}\\\frac{-164}{r^{5}} = \frac{41}{256}\\r^5 = \frac{256 \cdot -164}{41} = -\frac{41984}{41}\\r = \sqrt[5]{-\frac{41984}{41}}\\\)

You don't have to worry about the negative number inside the root, because is a odd root then you can find odd negative numbers that give me the desire result.

\(r = -\frac{4\sqrt[5]{41} }{\sqrt[5]{41}} \\r = -4\)

For find \(a\) only replace \(r\) in whatever of the two equations.

\(-a4^5 = \frac{41}{256}\\-a1024 = \frac{41}{256}\\a = -\frac{41}{262144}\)

After find \(a\) and \(r\) use the next formula for find the \(14^{th}\) term.

\(ar^{13} = x\\-\frac{41}{262144} \cdot -4^{13} = x\\\\10496 = x\)

Answer:

HIIIIIIIIIIII

Step-by-step explanation:

Functions like nlgn are called quasipolynomial, and as the name indicates are almost polynomial and far from being exponential, subexponential is usually used to refer a much larger class of functions with much faster growth rates. As the name indicates, "subexponential" means faster than exponential.

To prove that the function L(X) = e^√(lnX)(ln ln X) is sub-exponential, we need to show that it satisfies both conditions (a) and (b).

(a) To prove that L(X) = Ω(lnX)^α, we need to find a positive constant c and a value X0 such that

L(X) ≥ c(lnX)^α for all X ≥ X0.

Let's assume α = 1 for simplicity. Then we have:
L(X) = e^√(lnX)(ln ln X)
≥ e^(lnX)
= X

Now let's choose c = 1 and X0 = 1. Then for all X ≥ X0, we have:
L(X) ≥ c(lnX)^α
L(X) ≥ (lnX)^1

Therefore, L(X) is Ω(lnX)^α, as required.

(b) To prove that L(X) = O(X^β), we need to find a positive constant c and a value X0 such that L(X) ≤ c(X^β) for all X ≥ X0.

Let's assume β = 1 for simplicity. Then we have:

L(X) = e^√(lnX)(ln ln X)
≤ e^√(lnX)(lnX)
= e^(lnX)^(3/4)
= X^(3/4)

Now let's choose c = 1 and X0 = 1. Then for all X ≥ X0, we have:

L(X) ≤ c(X^β)
L(X) ≤ X^1

Therefore, L(X) is O(X^β), as required.

In conclusion, we have shown that the function L(X) = e^√(lnX)(ln ln X) is sub-exponential, satisfying both conditions (a) and (b).

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a)The initial height of the flare when it is fired is 2m.

b)The height of the flare after 1 s is 38.75m

c)The flare reaches its maximum height after 2 seconds.

d) The maximum height of the flare is 65m.

e) The flare hits the water after 8 seconds.

The given equation which is h = -5.25t² + 42t + 2, can be used to solve the following questions:

a) To get the initial height of the flare when it is fired, the value of t = 0 must be used in the given equation:

h = -5.25(0)² + 42(0) + 2h

= 0 + 0 + 2h

= 2

Therefore, the initial height of the flare when it is fired is 2m.

b) To get the height of the flare after 1 s, the value of t = 1 must be used in the given equation:

h = -5.25(1)² + 42(1) + 2h

= -5.25 + 42 + 2h

= 38.75

Therefore, the height of the flare after 1 s is 38.75m

c)The maximum height of the flare is reached when the flare is at its peak.

Therefore, the time when the flare reaches its maximum height is found by dividing -b by 2a, where the equation is in the form of y = ax² + bx + c.

The equation h = -5.25t² + 42t + 2 is in the form of y = ax² + bx + c,

where a = -5.25, b = 42, and c = 2.t = -b/2a = -42/2(-5.25)

= -2

Therefore, the flare reaches its maximum height after 2 seconds.

d) To get the maximum height of the flare, the value of t = 2 must be used in the given equation:

h = -5.25(2)² + 42(2) + 2h

= -21 + 84 + 2h

= 65

Therefore, the maximum height of the flare is 65m.

e)When the flare hits the water, the height, h, is 0.

Therefore, the time when the flare hits the water is found by setting h = 0 in the given equation and solving for t:

0 = -5.25t² + 42t + 2

Using the quadratic formula:\($$t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $$\)

where a = -5.25, b = 42, and c = 2.

= \(\frac{-42 \pm \sqrt{42^2 - 4(-5.25)(2)}}{2(-5.25)} $$t\)

= 8.003 or t = 1.331

Since time cannot be negative, the time when the flare hits the water is after 8 seconds. Therefore, the flare hits the water after 8 seconds.

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Answer:

67x-7y2x-f8

Step-by-step explanation:

The answer to Math.round(3.6) is D. 4.0. The Math.round() method is used to round a number to the nearest integer.

When we apply Math.round(3.6), it rounds off 3.6 to the nearest integer which is 4.

This method uses the following rules to round the given number:

1. If the fractional part of the number is less than 0.5, the number is rounded down to the nearest integer.

2. If the fractional part of the number is greater than or equal to 0.5, the number is rounded up to the nearest integer.

In the given question, the number 3.6 has a fractional part of 0.6 which is greater than or equal to 0.5, so it is rounded up to the nearest integer which is 4. Therefore, the correct answer to Math.round(3.6) is D. 4.0.

It is important to note that the Math.round() method only rounds off to the nearest integer and not to a specific number of decimal places.

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Answer:

Option B is the correct answer

(OCF): OCF = Net Income + Depreciation & Amortization - Changes in Working Capital, (CapEx): CapEx = Investment in Property, Plant & Equipment + Investment in Intangible Assets. therefore, (FCFF): FCFF = OCF - CapEx

The Free Cash Flow to Firm (FCFF) is a measure of a company’s cash flow available for distribution to shareholders and debt holders. To calculate FCFF, the following three steps are taken:

1. Calculate Operating Cash Flow (OCF): OCF is calculated by taking net income, adding back depreciation and amortization, and subtracting any changes in working capital.

2. Calculate Capital Expenditures (CapEx): CapEx includes investments in property, plant, and equipment, as well as any investments in intangible assets.

3. Calculate Free Cash Flow to Firm (FCFF): FCFF is calculated by subtracting CapEx from OCF. This figure represents the cash flow available for distribution to shareholders and debt holders.

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The list of all the positive common divisors of 48 and 60 is:1, 2, 3, 4, 6, 12.

To find all the common divisors of 48 and 60, we need to first list the divisors of both numbers. So let's list out the divisors of both 48 and 60.

Divisors of 48:1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 60:1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Now, we can identify the common divisors by comparing the two lists. The common divisors of 48 and 60 are:1, 2, 3, 4, 6, 12

In division, we divide a number by any other number to get another number as a result. So, the number which is getting divided here is called the dividend. The number which divides a given number is the divisor.

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The conveyor speed for the assembly line is 2.67 meters per minute.

To calculate the conveyor speed for the assembly line, we need to consider the width of each component and the production requirements.

Given:

Width of each component = 0.4m

Production requirement = 3000 units per day

Number of shifts per day = 2

Shift duration = 8 hours

Personal time per shift = 30 minutes

Anticipated performance = 85%

First, let's calculate the effective production time per shift after accounting for personal time:

Shift duration = 8 hours = 8 * 60 minutes = 480 minutes

Personal time per shift = 30 minutes

Effective production time per shift = Shift duration - Personal time per shift

= 480 minutes - 30 minutes

= 450 minutes

Next, we need to determine the cycle time, which is the time required to produce one unit. To find the cycle time, we divide the effective production time per shift by the number of units required per day:

Cycle time = Effective production time per shift / Production requirement per day

= 450 minutes / 3000 units

= 0.15 minutes per unit

Finally, to calculate the conveyor speed, we need to consider the width of each component and the cycle time:

Conveyor speed = Width of each component / Cycle time

= 0.4m / 0.15 minutes per unit

= 2.67 m/minute

Therefore, the conveyor speed for the assembly line is 2.67 meters per minute.

It's important to note that this calculation assumes uniform production throughout the shift and does not account for any additional factors or constraints specific to your production process.

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Answer:1.24

2.52

3.20

Step-by-step explanation:

We can substitute the values of m and b into the slope-intercept form. The equation becomes y = -3x + 7. This means that the equation of the line satisfying the given conditions is y = -3x + 7.

To find the equation of a line given its y-intercept and slope, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, the y-intercept is (0, 7) and the slope is -3.

The y-intercept represents the point where the line crosses the y-axis, which is given as (0, 7). This means that when x is 0, y is 7. So we know that b, the y-intercept, is 7.

The slope, which is -3, represents the change in y divided by the change in x. This means that for every increase of 1 in x, y decreases by 3.

Now, we can substitute the values of m and b into the slope-intercept form. The equation becomes y = -3x + 7.

This means that the equation of the line satisfying the given conditions is y = -3x + 7.

In this equation, -3 is the slope of the line, indicating that the line is downward-sloping, and 7 is the y-intercept, representing the point where the line intersects the y-axis.

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Answer:

9 7/10 is a decimal number is 9.7

The percentage that did not complete the marathon is 7.59%

From the question, we have the following parameters that can be used in our computation:

Participants = 290

Completed = 268

using the above as a guide, we have the following:

Percentage = (Participants - Completed)/Participants * 100%

substitute the known values in the above equation, so, we have the following representation

Percentage = (290 - 268)/290 * 100%

Evaluate

Percentage = 7.59%

Hence, the percentage that did not complete the marathon is 7.59%

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The probability that event B happens given that event A happened first is calculated as follows:

Substituting with data:

Answer:

p=2/3

Step-by-step explanation:

The value of p in the linear equation in one variable p - 3 1/6 = -2 1/2 is 2/3 or p = 2/3.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

p - 3 1/6 = -2 1/2

To solve the above linear equation in one variable first convert mixed fraction to fraction:

p - 19/6 = -5/2

p = -5/2 + 19/6

Take LCM of 2 and 6

p = (-15 + 19)/6

p = (4)/6

p = 2/3

Thus, the value of p in the linear equation in one variable p - 3 1/6 = -2 1/2 is 2/3 or p = 2/3.

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If you choose the lottery, you would be considered a risk taker.

By opting for the lottery with a 0.50 probability of winning $500 and a 0.50 probability of winning nothing, you are demonstrating a willingness to take a chance and accept the uncertainty associated with the potential outcomes. A risk taker is someone who is willing to engage in risky or uncertain situations for the possibility of gaining a favorable outcome. In this case, you are accepting the risk of potentially winning nothing in exchange for the chance to win a larger amount.

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The fabric used on headband and wristband of each player is 28.05 inches.

He uses 716.68 inches of fabric on headbands for 34 players and 4 coach and 329.11 inches of fabric on the wristband that is only for the players.

Here first let's find the fabric used for the headband of the players,

Number of people is 34 players + 4 coaches.

Number of people = 38

Using unitary method,

Total length of the fabric used 716.68 inches.

Fabric used on one person is equal to 716.68 / 39

Fabric used on one person = 18.37 inches.

Fabric used for players = 18.37 × 34

Fabric used for players = 624.79 inches.

The total fabric used for the headbands of the player is 624.79 inches.

Now the total fabric used for the wristband is 329.12 inches.

So, the total fabric used for headband and wristband for all the players is 953.91 inches.

So, the fabric used for each player = 953.91/34

the fabric used for each player is 28.05 inches.

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16 is a perfect square

16 = 2 × 2 × 2 × 2

16 = (2 × 2) × (2 × 2)

16 = 4 × 4

Perfect squares numbers whose squares are whole numbers. Square root of 16 gives 4.

Hence, 16 is a perfect square

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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Answer:

Positive

Step-by-step explanation:

\(\frac{2}{5}-(-\frac{5}{6})\)

Remember, a number minus the negative of a number would be equal to that first number plus that second number but not negative. In other words:

a - (-b) = a + b

So:

\(\frac{2}{5}-(-\frac{5}{6})=\frac{2}{5}+\frac{5}{6}\)

The sum of two positive numbers would be a positive number. Because of this, we can see that the value would be positive.

I hope you find my answer and explanation helpful. Happy studying. :)

The total cost of principal, interest, down payment, and amount of intangible tax is $871,596.00.

Down payment:

Down payment=452,000×0.2

Down payment=90,400

Principal:

Principal=452,000−90,400

Principal=361,600

Total interest

30years=30×12months=360months

Total interest=($2167.98×360)−361,600

Total interest=$780,472.80-$361,600

Total interest=$418,872.80

Intangible tax:

Intangible tax=$361,600×0.002

Intangible tax=$723.2

Total cost of principal, interest, down payment, and intangible tax:

=$90,400+$361,600+$418,872.80+$723.2

=$871,596.00

Inconclusion the total cost of principal, interest, down payment, and amount of intangible tax is $871,596.00.

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Answer: I do not have enough information to solve this equation

Step-by-step explanation:

I do not have enough information to solve this equation

Answer:

-82

Step-by-step explanation:

84/21=4

-25x4=-100

-3x-6=18

-100+18=-82

Answer:

the closest estimate would be 300 boxes

the actual answer is closer to 322 boxes

Step-by-step explanation:

7715/24=321.458

hope this helps have a great day :)

Answer:

A=0 B=7 C=3 D=9 E=9 F=3 G=1 H=5 J=7 K=5

L=1

Step-by-step explanation:

Hope I helped!! :)

Sorry if it's wrong! :(

Pls mark brainliest if right!!!

The values of a that make det(A) = 0 are 0 and -50.The answer: Values of a: 0, -50

To find all values of a that make det(a) = 0 for the matrix A = [a, 25, a; -8, 4, 0; 0, -7, a], we need to first calculate the determinant of the matrix and then solve for a.

Step 1: Calculate the determinant of matrix A:
det(A) = a*(4*a - 0) - 25*(-8*a - 0) + a*(0 - (-7*0))
det(A) = a*(4a) - 25*(-8a)
det(A) = 4a^2 + 200a

Step 2: Solve for a when det(A) = 0:
0 = 4a^2 + 200a
0 = 4a(a + 50)

Step 3: Solve for a:
Case 1: 4a = 0 => a = 0
Case 2: a + 50 = 0 => a = -50

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The values of a that make det(A) = 0 are 0 and -50.The answer: Values of a: 0, -50

To find all values of a that make det(a) = 0 for the matrix A = [a, 25, a; -8, 4, 0; 0, -7, a], we need to first calculate the determinant of the matrix and then solve for a.

Step 1: Calculate the determinant of matrix A:
det(A) = a*(4*a - 0) - 25*(-8*a - 0) + a*(0 - (-7*0))
det(A) = a*(4a) - 25*(-8a)
det(A) = 4a^2 + 200a

Step 2: Solve for a when det(A) = 0:
0 = 4a^2 + 200a
0 = 4a(a + 50)

Step 3: Solve for a:
Case 1: 4a = 0 => a = 0
Case 2: a + 50 = 0 => a = -50

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