If the terminal point of ø is (1,0), what is tan ø?

Answer:

11

Step-by-step explanation:

Using S = rA, where S is arc length, r is radius and A is angle(in radians).

Comparing: S = 11π, A = 180° = π

=> 11π = rπ

=> 11 = r

Required radius is 11 unit

Method 2:

This is a semi circle, circumference of semi circle is πr, so

πr = 11π

r = 11

The equation of the hyperbola is (y - 1)^2 / 16 - (x - 2)^2 / 65 = 1

To find the equation of the hyperbola, we need to determine its center, vertices, and foci.

Given:
Vertices: (2, 5) and (2, -3)
Foci: (2, 10) and (2, -8)

The center of the hyperbola is the midpoint between the vertices, which can be found by averaging their x-coordinates and y-coordinates:

Center: (2, (5 + (-3))/2) = (2, 1)

The distance between the center and the vertices is denoted by "a". In this case, the distance is the absolute value of the difference between the y-coordinates of the center and one of the vertices:

a = |1 - 5| = 4

The distance between the center and the foci is denoted by "c". In this case, the distance is the absolute value of the difference between the y-coordinates of the center and one of the foci:

c = |1 - 10| = 9

The relationship between "a", "b", and "c" in a hyperbola is given by the equation:

c^2 = a^2 + b^2

Solving for "b^2", we have:

b^2 = c^2 - a^2
= 9^2 - 4^2
= 81 - 16
= 65

Now we have all the necessary information to write the equation of the hyperbola in standard form:

For a horizontal hyperbola:

(x - h)^2 / a^2 - (y - k)^2 / b^2 = 1

For a vertical hyperbola:

(y - k)^2 / a^2 - (x - h)^2 / b^2 = 1

Since the given foci have the same x-coordinate, the hyperbola is vertical. Plugging in the values:

(y - 1)^2 / 4^2 - (x - 2)^2 / √65 = 1

Simplifying, we have:

(y - 1)^2 / 16 - (x - 2)^2 / 65 = 1

Therefore, the equation of the hyperbola is:

(y - 1)^2 / 16 - (x - 2)^2 / 65 = 1

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Answer:

the answer is 1325

Step-by-step explanation:

Answer:

1.22 dollars after sales tax

Answer:

the perimeter is 11cm and the area is 7cm^2

Step-by-step explanation:

NP =PS, meaning they have the same length. so the perimeter is 3.5 + 4 + another 3.5.

For the area imagine you cut the triangle in half. from P to the middle of NS. Put the 2 triangle halves together to form a rectangle. (PS is now touching NP). This would be a 2x 3.5 rectangle. 2x 3.5 is 7, meaning both this imagined rectangle and the triangle have an area of 7cm^2.

The median of X is 1;  P(X > 2) = 0; P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0; Var(X) is approximately 0.33; E(X) is 1 and  the value of q such that P(X < q) = 0.95 is 1.9.

(a) To find the median of X, we need to find the value of x for which the cumulative distribution function (CDF) equals 0.5.

Since the PDF is given as f(x) = 1/2 for 0 < x < 2 and 0 otherwise, the CDF is the integral of the PDF from 0 to x.

For 0 < x < 2, the CDF is:

F(x) = ∫(0 to x) f(t) dt = ∫(0 to x) 1/2 dt = (1/2) * (t) | (0 to x) = (1/2) * x

Setting (1/2) * x = 0.5 and solving for x:

(1/2) * x = 0.5;  x = 1

Therefore, the median of X is 1.

(b) To find P(X > x), we need to calculate the integral of the PDF from x to infinity.

For x > 2, the PDF is 0, so P(X > x) = 0.

Therefore, P(X > 2) = 0.

(c) To find the probability that one observation is less than 2 and the other is greater than 2, we need to consider the possibilities of the first observation being less than 2 and the second observation being greater than 2, and vice versa.

P(one observation < 2 and the other > 2) = P(X < 2 and X > 2)

Since X follows a continuous uniform distribution from 0 to 2, the probability of X being exactly 2 is 0.

Therefore, P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0.

(d) The variance of X can be calculated using the formula:

Var(X) = E(X²) - [E(X)]²

To find E(X²), we need to calculate the integral of x² * f(x) from 0 to 2:

E(X²) = ∫(0 to 2) x² * (1/2) dx = (1/2) * (x³/3) | (0 to 2) = (1/2) * (8/3) = 4/3

To find E(X), we need to calculate the integral of x * f(x) from 0 to 2:

E(X) = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1

Now we can calculate the variance:

Var(X) = E(X²) - [E(X)]² = 4/3 - (1)² = 4/3 - 1 = 1/3 ≈ 0.33

Therefore, Var(X) is approximately 0.33.

(e) The expected value of X, E(X), is given by:

E(X) = ∫(0 to 2) x * f(x) dx = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1

Therefore, E(X) is 1.

(f) The value of q such that P(X < q) = 0.95 can be found by solving the following equation:

∫(0 to q) f(x) dx = 0.95

Since the PDF is constant at 1/2 for 0 < x < 2, we have:

(1/2) * (x) | (0 to q) = 0.95

(1/2) * q = 0.95

q = 0.95 * 2 = 1.9

Therefore, the value of q such that P(X < q) = 0.95 is 1.9.

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The inequality expression given as -x/3 < 5 has a solution of x > -15

From the question, the inequality is given as

-x/3 < 5

The above inequality can be re-written as follows

-x/3 < 5

There is no constant to add or subtract in the expression

So, we start by multiplying both sides of the expression by a constant

Multiply both sides by 3

expression

-x < 15

Divide both sides by -1

So, we have the following representation

x > -15

Hence, the solution to the expression is x > -15

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Step-by-step explanation:

speed = distance/speed

= 871/10 ÷ 13/5

= 871/10 × 5/13

= 67/2 = 33.5miles/hour

We can conclude that there are 120 ways to assign 5 people to sit in 5 chairs.

There are a couple of ways to approach this question, but one common method is to use the permutation formula. A permutation is an arrangement of objects in a specific order, and the formula for calculating the number of permutations is:

P(n,r) = n! / (n-r)!

where n is the total number of objects and r is the number of objects being arranged.

In this case, we want to arrange 5 people in 5 chairs, so we can set n = 5 and r = 5. Substituting into the formula, we get:

P(5,5) = 5! / (5-5)! = 5! / 0! = 5 x 4 x 3 x 2 x 1 / 1 = 120

Therefore, there are 120 ways to assign 5 people to sit in 5 chairs.

Another way to think about this problem is to use the multiplication principle, which states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things. We can apply this principle by considering each chair in turn and the number of ways that each person can be assigned to it.

For the first chair, there are 5 people who could sit there. For the second chair, there are 4 people left who could sit there. For the third chair, there are 3 people left who could sit there. For the fourth chair, there are 2 people left who could sit there. Finally, for the fifth chair, there is only 1 person left who could sit there.

Using the multiplication principle, we can multiply the number of ways for each chair to get the total number of ways to assign people to chairs. This gives us:

5 x 4 x 3 x 2 x 1 = 120

This is the same answer we got using the permutation formula. Therefore, we can conclude that there are 120 ways to assign 5 people to sit in 5 chairs.

Note that both methods produce the same answer, but they may be more or less efficient depending on the specific problem.

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Answer:

4

7

4 or 2.5

Step-by-step explanation:

x+2x=3x

12/3=4=x

13+1=14

14/2=7=y

13+/-3=16/10

16/4=4

10/4= 2.5

this one depends wether 3 is negative or positive

Answer:

7.8

Step-by-step explanation:

multiply it on a calculator lol

Answer:

7.8

Step-by-step explanation:

coz 0.0078 into 1000

0.0078

x 1000

take the last two digits and multiply by 1000 = 7800

then divide by 1000 = 7.8

Answer:

X intercept = 4

Y intercept = -4

Step-by-step explanation:

X-intercept is when the graph crosses the X-axis or where the y is 0 for a X value. Here the (4,0) is where Y is 0 for a given x value and you see the graph crosses it on X-axis thus X intercept is 4.

Y-intercept is when the graph crosses the Y-axis or where the x is 0 for a Y value. Here the (0,-4) is where X is 0 for a given Y value and you see the graph crosses it on Y-axis thus Y intercept is -4.

The employee who receives the largest percentage of their gross pay in employee benefits is Employee D.
What is percentage?
Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%", or the abbreviation "pct". For instance, 45% (read as "forty-five percent") is equal to 45/100, or 0.45. Percentage can be used to express part-to-whole relationships, such as "25% of the students in the class". It can also be used to compare two or more values, such as "the temperature rose by 3% over the course of the day". In some cases, percentage can be used to calculate a quantity from a given value, such as finding the percentage increase from one number to another.

This is because they have the highest total job benefits ($34,700) when compared to their gross pay ($33,700). This results in a percentage of 103.3%, which is the highest of the four employee options.

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The measure of angle D in the convex pentagon ABCDE is 132°

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the measure of angle D, hence:

angle A = x - 40.

∠A + ∠B + ∠C + ∠D + ∠E = 540° (sum of angle in a pentagon)

3(x - 40) + 2x = 540

x = 132°

The measure of angle D in the convex pentagon ABCDE is 132°

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The claim made by the maker of one of the video games is not supported by the given confidence interval. The interval (1.5, 3.8) represents the estimated difference in the mean number of hours per week spent playing the two games.

To determine whether the claim is supported or not, we need to examine the interval. Option A states that the claim is supported because 0 is not contained in the interval. However, the interval (-∞, ∞) contains all possible values, including 0. Therefore, option A is incorrect.

Option B, which mentions the midpoint of the interval being greater than 1, is not a valid criterion for evaluating the claim. The midpoint of the interval does not provide any information about the claim itself. Hence, option B is incorrect.

Option C suggests that the claim is supported because the margin of error for the estimate is less than 1. However, the margin of error is not provided in the question. Therefore, option C cannot be determined based on the given information.

Option D states that the margin of error for the estimate is greater than 1, but the margin of error is not given. Without this information, we cannot evaluate option D.

The correct answer is option E: No, because 0 is not contained in the interval. A confidence interval that does not contain 0 suggests that there is a statistically significant difference in the mean number of hours per week spent playing the two games.

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Answer:

D. 19,200 to 30,800 total hours spent in the park.

Step-by-step explanation:

A confidence interval is obtained as the sample mean plus/minus the margin of error.

For this problem, the parameters are given as follows:

Sample mean: 6.25 hours.

Margin of error: 1.45 hours.

Hence the bounds of the interval for the mean amount of time that people spent in the part are of:

Lower bound: 6.25 - 1.45 = 4.80 hours.

Upper bound: 6.25 + 1.45 = 7.70 hours.

Considering the 4,000 people on the park each day, the bounds of the range of total hours are given as follows:

Lower bound: 4000 x 4.80 = 19,200 hours.

Upper bound: 4000 x 7.70 = 30,800 hours.

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Number of students should be sampled to be within 0.5 drink of population mean with 95% probability is 617 students.

To determine the sample size required to estimate the population mean with a given level of precision, we can use the formula for the margin of error

Margin of error = Z × (standard deviation / sqrt(sample size))

where Z is the critical value of the standard normal distribution corresponding to the desired level of confidence. For a 95% confidence level, Z is 1.96.

We want the margin of error to be no more than 0.5 drinks, so we can set up the equation

0.5 = 1.96 × (6.3 / sqrt(sample size))

Solving for the sample size, we get

sqrt(sample size) = 1.96 × 6.3 / 0.5

sqrt(sample size) = 24.82

sample size = (24.82)^2

sample size = 617

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We need specific subsets (denoted by "s") within the group of upper triangular real matrices (denoted by "g") to determine whether they are subgroups and normal subgroups. Additionally, if a subset is a normal subgroup, we can identify the quotient group (denoted by "g/s").

To determine if a subset "s" is a subgroup, it must satisfy two conditions: closure under matrix multiplication and inverse existence. If all matrices in "s" multiplied together yield another matrix in "s," and if the inverse of each matrix in "s" is also in "s," then "s" is a subgroup of "g."

On the other hand, to determine if a subgroup "s" is a normal subgroup, we need to check if it is invariant under conjugation. That is, for any matrix "h" in "g" and any matrix "s" in "s," the conjugate of "s" by "h" (i.e., \(hsh^(-1))\)is also in "s." If this condition holds, "s" is a normal subgroup.

If "s" is indeed a normal subgroup, the quotient group "g/s" is formed by taking the left cosets of "s" in "g." Each coset represents a distinct equivalence class of matrices in "g" that differ by an element of "s." The quotient group "g/s" can be used to study the structure and properties of the group "g" after factoring out the normal subgroup "s."

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Answer:

so what should I do

Step-by-step explanation:

hope it helps

The given expression ((y-b)²/(y-b+1)+(y-b)/(y-b+1) after being reduced to a polynomial, can be represented as y-b.

In order to reduce the given equation to a polynomial, we are required to simplify and combine like terms. First, we can simplify the expression in the numerator by expanding the square:

((y-b)²/(y-b+1) = (y-b)(y-b)/(y-b+1) = (y-b)²/(y-b+1)

Now, we can combine the two terms in the equation by finding a common denominator:

(y-b)²/(y-b+1) + (y-b)/(y-b+1) = [(y-b)² + (y-b)]/(y-b+1)

Next, we can combine the terms in the numerator by factoring out (y-b):

[(y-b)² + (y-b)]/(y-b+1) = (y-b)(y-b+1)/(y-b+1)

Finally, we can cancel out the common factor of (y-b+1) in the numerator and denominator to get the polynomial:

(y-b)(y-b+1)/(y-b+1) = y-b

Therefore, the equation ((y-b)²)/(y-b+1)+(y-b)/(y-b+1)  after being simplified, is equivalent to the polynomial y-b.

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Answer:

Step-by-step explanation:

Answer: 47/90

Step-by-step explanation:

3/10+2/9=47/90 somehow ig

The transfer price set by the selling division should be equal to the selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally. Option D.

The transfer price refers to the price at which goods or services are transferred between divisions within the same organization. When the selling division sets the transfer price, it needs to consider various factors. Option D, selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally, is the most appropriate choice.

The selling price less the variable costs ensures that the selling division covers its direct costs associated with the transferred goods or services. This ensures that the division remains financially viable and does not incur losses. However, it is also important to consider the opportunity cost of making the transfer internally.

The foregone contribution to the organization represents the potential profit or contribution that the selling division could have made if it had sold the goods or services to external customers instead of transferring them internally. By including this foregone contribution in the transfer price, the selling division accounts for the potential value it could have added to the organization.

In conclusion, the transfer price set by the selling division should consider both the variable costs associated with the transfer and the foregone contribution to the organization. Option D, selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally, captures both of these factors and provides a comprehensive approach to setting the transfer price.

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Answer:

The range of this quadratic function is

-infinity < y ≤ 2.

Answer: -3/16

Step-by-step explanation:

When there is a negative exponent like x^-2 it equals 1/(x^2) the negative puts the number as a fraction so continuing...

-12(x^-2) (y^-2) can be rewritten as

-12 (1/x^2) (1/y^2) now we plug in x = -2 and y = 4

-12 (1/(-2^2) (1/(4^2)); -2^2 = 4 , 4^2 = 16

-12 (1/4) (1/16)

-3 (1/16)

= -3/16

the Pearson product moment correlation measures the linear relationship between two interval- and/or ratio-scaled variables (scale variables) such as those depicted conceptually by scatter diagrams: True.

A measure of the degree and direction of relationship between two variables assessed on at least an interval scale is the Pearson product-moment correlation coefficient, or Pearson's correlation.

If you want to determine whether there is a linear relationship between two quantitative variables, you may use Pearson's correlation. The expectation of a linear relationship between those variables is the sole part of the study hypothesis.

This approach finds the precise amount or degree of correlation between any two variables and tells if there is or is not any correlation between them.

Thus, the given statement is true.

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Answer:

I think it's

8 first and then 27/36 then -1/4 and lastly -19/29

Step-by-step explanation:

Answer: 8 27/36 -1/4 -19/20

Step-by-step explanation:

This are the right answer I guess because I learn it before I am like 92% sure about it

The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.

In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.

Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘

To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘

Therefore, the measure of angle L is 64 degrees.

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