Angle 1 = 27°
Find the measure of angle 4

The equation of the circle with radius 6 and center at (0 , 0) is x^2 + y^2 = 36.

The general form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (0 , 0)

r = 6

(x - 0)^2 + (y - 0)^2 = 6^2

x^2 + y^2 = 36

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Answer: 1/2

Step-by-step explanation:

The probabilities must add to 1, so:

\(P(x < 9) +P(X=9)+P(X > 9)=1\\\\\frac{1}{6}+P(X=9)+\frac{1}{3}=1\\\\P(X=9)=\boxed{\frac{1}{2}}\)

Answer:

do what?

Step-by-step explanation:

Answer:

The answer is nothing

Step-by-step explanation:

there is nothing there therefor there is no answer

Answer: Each person can get 12 cookies, or 12.2

Step-by-step explanation:

All you have to do is divide 61 by 5, your answer would 12 remainder 1, you would then divide 1 by 5 to get 0.2 . Add 12 and .2 to get your answer. The quotient would be 12 and the remainder 1.

Answer:

Table B has a constant proportionality between x and y of 0.6

If this is a sample of 6 scores, then  SS using the definitional formula would equal 17.5.

To find the SS (sum of squares) using the definitional formula, you need to first calculate the mean of the scores. Here's

1. Calculate the mean (µ) using ∑x and the number of scores (n):
Mean (µ) = (∑x) / n
µ = 39 / 6
µ = 6.5

2. Use the computational formula for SS:
SS = ∑x² - ( (∑x)² / n )
SS = 271 - (39² / 6)
SS = 271 - (1521 / 6)
SS = 271 - 253.5

3. Calculate sample score SS:
SS = 17.5

So, the answer is 17.5.

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Answer:

18.11

Step-by-step explanation:

You have the base cost of 17$ then add that to .065 times 17$

6+4x=8+3x

-3x     -6

x=2

the number is 2

Answer:

length = 15 feet.

Step-by-step explanation:

This paper is 15 feet across on any side. Who will deliver this monster?

Area = s^2 where s is the length of 1 side.

Area = 225 feet^2  (You sure this isn't inches).

s^2 = area

s^2 = 225        Take the square root of both sides of the equation.

sqrt(s^2) = sqrt(225)

s = 15

Answer:

your answers are

Step-by-step explanation:

1. \(2x-3=y+3\)

\(2x-3=y+3\\ 2x+y=-3\\divide |by |2\\x+y=-1.5\)

so x + y = -1.5

a.) The weights, ω1 + ω2 + ω3 = 1. b.) The weights, V[Y_bar ω] = ω1²V[Y1] + ω2²V[Y2] + ω3²V[Y3] = ω1²σ² + ω2²σ² + ω3²σ² = σ²(ω1² + ω2² + ω3²). To estimate the expectation μ, we propose combining three independent and identically distributed random variables Y1, Y2, and Y3 using a weighted average, Y_bar ω = ω1Y1 + ω2Y2 + ω3Y3.

(a) The weights ω1, ω2, and ω3 need to satisfy the condition ω1 + ω2 + ω3 = 1 for Y_bar ω to be an unbiased estimator for μ. The expectation E[Y_bar ω] is calculated as E[Y_bar ω] = ω1E[Y1] + ω2E[Y2] + ω3E[Y3] = ω1μ + ω2μ + ω3μ = (ω1 + ω2 + ω3)μ. For Y_bar ω to be an unbiased estimator for μ, its expectation should equal μ. Therefore, ω1 + ω2 + ω3 = 1.

(b) The variance V[Y_bar ω] can be calculated as V[Y_bar ω] = V[ω1Y1 + ω2Y2 + ω3Y3]. Since Y1, Y2, and Y3 are independent, the variance of their sum is the sum of their variances. Therefore, V[Y_bar ω] = ω1²V[Y1] + ω2²V[Y2] + ω3²V[Y3] = ω1²σ² + ω2²σ² + ω3²σ² = σ²(ω1² + ω2² + ω3²). The variance of Y_bar(ω) can be calculated, and by applying the condition from (a), the set of weights that minimize the variance can be determined.

To minimize the variance, we can apply the condition from (a), ω1 + ω2 + ω3 = 1, and use a technique called Lagrange multipliers. By introducing the Lagrange multiplier λ, we form the Lagrangian L = σ²(ω1² + ω2² + ω3²) + λ(ω1 + ω2 + ω3 - 1). Taking partial derivatives with respect to ω1, ω2, ω3, and λ, we can solve the equations to find the set of weights that minimize the variance. The specific values will depend on the given values of σ² and the constraints imposed by the problem.

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Below, you will learn how to solve the problem.

(a) To find the linear relationship y = mx + b between x = year and y = profit, we first need to find the slope (m) and the y-intercept (b).

The slope (m) is the change in y (profit) divided by the change in x (year):
m = (17 - 5)/(6 - 2)

m = 12/4

m = 3

Next, we can use one of the data points (2, 5) and the slope (3) to find the y-intercept (b):
5 = 3(2) + b
b = 5 - 6

b = -1

So the linear relationship between x = year and y = profit is:

y = 3x - 1

(b) To find the company's profit at the end of 3 years, we can plug in x = 3 into the equation:
y = 3(3) - 1

y = 8

So the company's profit at the end of 3 years is $8 million.

(c) To predict the company's profit at the end of 8 years, we can plug in x = 8 into the equation:

y = 3(8) - 1 = 23

So the company's profit at the end of 8 years is predicted to be $23 million.

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The 5-year ROI (Return on Investment) from the implementation of the project can be calculated by determining the total savings over the 5-year period and comparing it to the initial investment and training costs.

The project yields monthly savings of $4,000 beginning 4 months after implementation.

To calculate the 5-year ROI, we need to determine the total savings over the 5-year period.

First, we calculate the number of months in 5 years, which is 60 months. Since the savings begin 4 months after implementation, we subtract those 4 months.

So, the total number of months with savings is 56 months.

Next, we multiply the monthly savings of $4,000 by the number of months to obtain the total savings over the 5-year period.

56 months multiplied by $4,000 gives us a total savings of $224,000.

To calculate the 5-year ROI, we subtract the initial investment and training costs from the total savings.

The initial investment is $42,000, and the training costs are $2,000. Therefore, the total cost is $44,000.

Finally, we calculate the ROI by dividing the net savings ($224,000 - $44,000 = $180,000) by the total cost ($44,000) and multiplying by 100 to express it as a percentage.

The ROI is then ($180,000 / $44,000) * 100 = 409.09%.

Therefore, the 5-year ROI from the implementation of the project is 409.09%.

This indicates a positive return on the initial investment and training costs, suggesting that the project is financially beneficial over the 5-year period.

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(a) The variance and standard deviation of the data set can be calculated using the given formulae.

(b) Subtracting the mean from every observation would not change the variance, but the standard deviation would remain the same.

(c) Dividing each observation by the standard deviation (standardization) would result in a variance of 1 and a standard deviation of 1.

Here, we have,

(a) To calculate the variance, we need to find the average of the squared differences between each observation and the mean. The standard deviation is the square root of the variance. By using the given formulae, we can compute both values.

(b) When we subtract the mean from every observation, the new mean becomes 0 because the sum of the differences is zero. The variance is not affected by the shift in mean because it is calculated using the squared differences from the mean. Therefore, the variance remains the same. The standard deviation, being the square root of the variance, also remains the same.

(c) After dividing each observation by the standard deviation, the new variance becomes 1, and the new standard deviation becomes 1 as well. This happens because dividing each observation by the standard deviation scales the data such that the standard deviation becomes 1. Consequently, the variance, which is calculated based on the squared differences, also becomes 1.

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The true logic statements are listed as follows:

B) ~q.

D) p ⌄ q.

F) p ^ ~q.

A square is a quadrilateral, as it has four sides, hence the statement p is true.

Then, the negative of statement p is false, and option a is false.

The or operation with statement p is always going to be true, as the or operation is true when at least one of the operators is true, hence option D is true.

An hexagon is not a parallelogram, hence statement q is false. Thus, option B is true, as the negative of a false statement is positive.

The and operation is true when all the operators are true, hence option F is true, as statements p and ~q are both true. Statement C is false as only one of the statements is true.

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1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

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Answer:

3

Step-by-step explanation:

Hope this will help you

The equation that could be used to find the cost C of a ticket after L losses is (40.65-0.23L), the total change in the cost of a ticket after the team loses 23 games is and the price of the ticket after the team losses 23 games is .

According to the question,

We have the following information:

A ticket to see your favorite baseball team costs ​$40.42. That price decreases by ​$0.23 for every game lost during the regular season.

So, we have:

40.42, 40.19, 39.96, ....

Now, this series is an A.P. because we have a common difference of -0.23.

The nth term of the series:

an = a+(n-1)d

C = 40.42+(L-1)-0.23

C = 40.42-0.23L+0.23

C = 40.65-0.23L

Now, the price of the ticket after the team loses 23 games:

C = 40.65-0.23*23

C = 40.65-5.29

C = $ 35.36

Now, the change in the price:

40.42-35.36

$ 5.06

The price has been decreased by $5.06.

Hence, the equation that could be used to find the cost C of a ticket after L losses is (40.65-0.23L), the total change in the cost of a ticket after the team loses 23 games is decrease by $5.06 and the price of the ticket after the team losses 23 games is $35.36.

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The solution to the system of equations 2y = 8x and x^2 + y = 5 is the set of ordered pairs (-5, -20) and (1, 4).

The system of equations 2y = 8x and x^2 + y = 5 can be solved using various methods such as substitution or elimination. In this case, Ayana isolated y in the first equation to get y = 4x and substituted it into the second equation.

Substituting y = 4x in the second equation, we get:

x^2 + (4x) = 5

Simplifying this equation by combining like terms, we get:

x^2 + 4x - 5 = 0

This is a quadratic equation that can be solved using the quadratic formula or factoring. Solving for x, we get:

x = -5 or x = 1

Now that we know the value of x, we can use the equation y = 4x (which we obtained by isolating y in the first equation) to find the corresponding values of y. Substituting x = -5 and x = 1 in y = 4x, we get:

y = -20 or y = 4

Therefore, the solution to the system of equations 2y = 8x and x^2 + y = 5 is the set of ordered pairs (-5, -20) and (1, 4).

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the value of the given integral using spherical coordinates is 1/96 π.

To evaluate the given integral using spherical coordinates, we first need to express the limits of integration in terms of spherical coordinates. Since the solid E is defined between the cone z=sqrt(x^2+y^2) and the sphere x^2+y^2+z^2=1, we can write the limits of integration as follows:
0 <= r <= 1
0 <= θ <= 2π
arctan(r) <= φ <= π/2
Here, r is the radial distance, θ is the azimuthal angle (measured from the x-axis), and φ is the polar angle (measured from the z-axis).
Next, we need to express y^2z^2 in terms of spherical coordinates. Since y=r*sin(φ)*sin(θ) and z=r*cos(φ), we have y^2z^2 = r^5*sin^2(φ)*cos^2(φ)*sin^2(θ).
Finally, we can express the integral in terms of spherical coordinates and evaluate it as follows:
∫∫∫ E y^2z^2 dV = ∫0^1 ∫0^2π ∫arctan(r)^π/2 r^5*sin^2(φ)*cos^2(φ)*sin^2(θ) r^2*sin(φ) dr dθ dφ
= 1/6 ∫0^2π ∫arctan(r)^π/2 sin^2(θ)cos^2(θ) dφ dθ ∫0^1 r^7 dr
= 1/12 π/2 ∫0^1 r^7 dr
= 1/96 π
Therefore, the value of the given integral using spherical coordinates is 1/96 π.

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Answer:

I need to know if the ten is supposed to be dollars or cents

The cost of  a pound of gourmet beans two years ago is $11.34

Given; The price of gourmet coffee beans at the corner market has increased 10% (0.1) per year over the past several years.

The current cost is $14 per pound .

The exponential decay equation is given by :-

\(y = a(1\pm r)^m\)

, where r is the rate of decay and A is the initial amount and m is the time period.

Put A = 14 , r= 0.1 and t=2, we get

y = 14(1 - 0.1)^2

y = 11.34

Hence, the cost of  a pound of gourmet beans two years ago is $11.34

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12-(-85)+45+(-36)

negative 1 multiply negative 85 will leave an positive 85 and positive 1 multiply negative36 will also leave negative answer then you simplify to get 106

Answer:

-7(x+2)

Step-by-step explanation:

-3(2x+5)-(x-1)

↦ -6x+(-15)-x+1

↦-6x-x-15+1

↦7x-14

↦2(x-7)

Answer:

Step-by-step explanation:

Tnd 50 dia w2 wop p.35.00 dma fw

Answer: the answer is wha the other dude said

Step-by-step explanation:

Answer:

So that's actually not true. When comparing decimals you should compare each digit. Remember adding a 0 at the end does not change the value of the decimal. So lets look at it up and down:

remember line up the decimal to decimal

1.628

1.630

the first digit is the same. Both of these numbers are also before the decimal.

let's look at the second digit.

1.628

1.630

they are also the same. Both of these are also right after the decimal point.

now let's look at the third digit.

1.628

1.630

In this case, the bottom number has a higher value. Since 3>2, the bottom number is the overall biggest. Or you could look at it and say "Oh! 30 is bigger than 28!" I hope this helps you, and if this wasn't what you were looking for, oops

Answer:

\(7^{7}\)  =  823543

the unit position (the first) is equal to "3"

Step-by-step explanation:

The positive solution is 5.

given,

When 10 is subtracted from a number's square, the result is three times the number.

let x be the number

according to given statement the quadratic equation will be

\(x^2-10=3x\\\\x^2-3x-10\\\\x^2+2x-5x-10=0\\\\x(x+2)-5(x+2)=0\\\\(x-5)(x+2)=0\\\\x=5\ or\ -2\)

Thus, the positive solution is 5.

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Answer: 26r^2 + 36r

Step-by-step explanation:

−2r(−16r + 3r − 18)

32r^2 - 6r^2 + 36r

26r^2 + 36r

Answer:

26\(r^2\) + 36r

Step-by-step explanation:

Combine like terms:

-2r(-13r - 18)

Use the distributive property:

-2r(-13r) + (-2r)(- 18)

26\(r^2\) + 36r

The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

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