Here are the ages of `20` people at a family reunion, ordered from youngest to oldest:



`3,\ 8,\ 9,\ 10,\ 11,\ 11,\ 12,\ 18,\ 18,\ 28,`



`30,\ 35,\ 37,\ 40,\ 53,\ 54,\ 58,\ 65,\ 70,\ 72`



The value of quartile 2 (Q2) is `29`. Explain what the number `29` tells us about the people at the family reunion. Please help it due tomorrow!!!!

Given:

One of the angle of a triangle is 104°.

The objective is to find the missing angle x.

If two sides of a triangle are equal, then it is an isosceles triangle.

In an isosceles triangle, the angle formed by the equal sides is also equal.

Then, the value of angle x can be calculated angle sum property of triangle.

Hence, option (A) is the correct answer.

I think that is proportional

First to answer

Answer:

The answer is proportional! The pricing is consistent!

5/2 = 2.5

2.5* 3 = 7.5

Answer:

there isn't enough info

Step-by-step explanation:

..................

Answer:

the shaded part is 60% of the thing

Step-by-step explanation:

3/5 = 60%

According to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

According to the liquidity preference hypothesis, the interest rate for a long-term investment is expected to be equal to the average short-term interest rate over the investment period. In this case, the expected forward rate for the third year is stated as 4.28%.

To calculate the expected forward rate for the third year, we first need to calculate the prices of zero-coupon bonds for each year. Let's start by calculating the price of a four-year zero-coupon bond, which is determined to be $731.74.

The rate of return on a four-year zero-coupon bond is then calculated as follows:

Rate of return = (1000 - 731.74) / 731.74 = 0.3661 = 36.61%.

Next, we use the yield of the four-year zero-coupon bond to calculate the price of a three-year zero-coupon bond, which is found to be $526.64.

The expected rate in the third year can be calculated using the formula:

Expected forward rate for year 3 = (Price of 1-year bond) / (Price of 2-year bond) - 1

By substituting the values, we find:

Expected forward rate for year 3 = ($959.63 / $865.20) - 1 = 0.1088 or 10.88%

If ∆ (delta) is 1%, we can calculate the expected forward rate in the third year as follows:

Expected forward rate for year 3 = (1 + 0.1088) × (1 + 0.01) - 1 = 0.1218 or 12.18%

Therefore, according to the liquidity preference hypothesis, the expected forward rate in the third year, when ∆ is 1%, is 12.18%.

Additionally, the yield to maturity on a three-year zero-coupon bond can be calculated using the formula:

Yield to maturity = (1000 / Price of bond)^(1/n) - 1

Substituting the values, we find:

Yield to maturity = (1000 / $526.64)^(1/3) - 1 = 0.1035 or 10.35%

Hence, the yield to maturity on a three-year zero-coupon bond is 10.35%.

In conclusion, according to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

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Answer: 8°

Step-by-step explanation:

57+90=147

147+4x+1= 180

147+1= 148

148+4x=180

180-148=32

32/4=8

x=8°

Therefore , the solution of the given problem of average comes out to be  96% confidence interval is ($52,791.38, $53,086.62).

The result of a collection, also known as the arithmetic mean, is the sum of all values split by all of the values. One of the most commonly used primary trend indicators, it is frequently referred to as "mean." Multiply the total number of numbers in the collection by each value to get the result. Calculations can be performed using either the raw data or data that has been merged into frequency charts.

Here,

The error margin (E) is equal to z* (standard deviation / sqrt(n)).

Interval of confidence equals sample mean  E

Where n is the sample size, z* is the critical value for the required confidence level, and s is the population standard deviation.

We can enter the provided values into the margin of error formula as follows:

=> E = 2.05 * (1227 / sqrt(227))

=>  E ≈ 147.62

Therefore, the error range is roughly $147.62.

Next, we can create the confidence interval using the group mean and margin of error:

Interval of confidence equals sample mean  E

=>  Confidence range is between $52,939 and $147.62.

=>  Interval of confidence = ($52,791.38, $53,086.62)

Therefore, the range of the typical household income in Martin County within the 96% confidence interval is ($52,791.38, $53,086.62).

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The given polynomial f(x) = x^4 + 6x^2 - 27 is to be written as the product of factors that are irreducible over the rationals.        

Let's factorize the given polynomial as follows:f(x) = x^4 + 6x^2 - 27Since there are no possible rational roots of the given polynomial, we can use substitution to factorize it.Let's substitute x^2 = y; therefore, we have f(y) = y^2 + 6y - 27We can now factorize f(y) = y^2 + 6y - 27 as follows:f(y) = (y + 9)(y - 3)Therefore, x^4 + 6x^2 - 27 = (x^2 + 9)(x^2 - 3)If we continue the factorization, then we have x^4 + 6x^2 - 27 = (x + 3i)(x - 3i)(x + sqrt(3))(x - sqrt(3))Hence, the polynomial as the product of factors that are irreducible over the rationals is (x + 3i)(x - 3i)(x + sqrt(3))(x - sqrt(3)).          

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Correct option is A,  f(x) -2 has changed the parent function f(x) = (0.5)x to its new appearance.

The parent function f(x) = log5x has been modified by reflecting it over the x-axis, extending it vertically by a factor of three, and moving it down by three units.

In the picture below you can see the blue line is the graph of the function

f(x) = log(5x) and the green line is the graph of the function

g(x) = log[5(x + 4)] - 2

Since the function f passes at point (2, 1), we must reduce it by 2 units to ensure that it also passes at position (-2, -1). To do this, we add 2 to the function f.

We only need to add 4 to the variable x to have the function go left when we obtain log(5x) - 2.

The function shifts to the left when you add a number to x;

The function moves to the right when you remove a number from x;

The function increases when you add a number to it;

The function decreases when you take a number away from it.

Then we get a function g(x) = log[5 (x + 4)] - 2.

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Exercising the in-the-money call option with an exercise price of 1,680 and the current index value of 1,720 would result in a profit of 40 per index, minus the premium paid for the option.

If the S&P 100 index is currently at 1,720, and the exercise price of the call option is 1,680, then the option is in-the-money. In other words, if you were to exercise the call option, you would be able to buy the S&P 100 index at a price that is lower than its current market value.

To determine the profit from exercising the option, you need to calculate the option's intrinsic value, which is the difference between the current index value and the exercise price. In this case, the intrinsic value of the call option is:

Intrinsic Value = Current Index Value - Exercise Price

Intrinsic Value = 1,720 - 1,680

Intrinsic Value = 40

So, if you were to exercise the call option, you would be able to buy the S&P 100 index at a price of 1,680 and then sell it in the market at the current value of 1,720, resulting in a profit of 40 per index.

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Suppose that you purchased a call option on the S&P 100 Index. The option has an exercise price of 1,680, and the index is now at 1,720. What will happen when you exercise the option?

Answer:

y= 14.875

x= 16.875

Step-by-step explanation:

simultaneous equation

substitution method

Answer: Let x be the measure of the smallest angle in the triangle. Then we have:

One angle is three times as large as another, so the second angle is 3x.

The third angle is 80° more than the smallest angle, so it is x + 80.

The sum of the angles in a triangle is always 180°, so we can write an equation:

x + 3x + (x + 80) = 180

Simplifying and solving for x, we get:

5x + 80 = 180

5x = 100

x = 20

Therefore, the smallest angle in the triangle is x = 20 degrees, the second angle is 3x = 60 degrees, and the third angle is x + 80 = 100 degrees.

Step-by-step explanation:

E(Y/n) = p. This result shows that Y/n is an unbiased estimator for p since its expected value is equal to the true value of the parameter p. As n gets large, the term 1/n approaches zero, and therefore, the variance V(Y/n) approaches zero as well.

a) To derive the expected value of Y/n, we can use the linearity of expectation. Since Y follows a binomial distribution with parameters n and p, we have:

E(Y/n) = E(Y) / n

The expected value of Y is given by:

E(Y) = np

Substituting this into the expression, we get:

E(Y/n) = np / n

Simplifying, we find:

E(Y/n) = p

This result shows that Y/n is an unbiased estimator for p since its expected value is equal to the true value of the parameter p.

b) To derive the variance of Y/n, we can use the properties of variance. Since Y follows a binomial distribution with parameters n and p, the variance of Y is given by:

V(Y) = np(1 - p)

Using the properties of variance, we have:

V(Y/n) = V(Y) / n²

Substituting the expression for V(Y), we get:

V(Y/n) = (np(1 - p)) / n²

Simplifying, we find:

V(Y/n) = (p(1 - p)) / n

As n gets large, the term 1/n approaches zero, and therefore, the variance V(Y/n) approaches zero as well. This means that as the sample size increases, the variability of the estimator Y/n decreases, indicating a more precise estimate of the true parameter p.

In conclusion, the expected value of Y/n is equal to the true value of the parameter p, making Y/n an unbiased estimator. Additionally, as the sample size increases, the variance of Y/n decreases, leading to a more precise estimate of the parameter p.

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A graph is a function if it passes the vertical line test, meaning that no vertical line intersects the graph at more than one point. If the graph does not pass this test, it is not a function.

The graph is a function if each input value (x-coordinate) corresponds to exactly one output value (y-coordinate). To determine if a graph is a function, we can apply the vertical line test. If a vertical line intersects the graph at more than one point, then the graph is not a function.

Let's consider an example. If we draw a vertical line that intersects the graph at multiple points, then it is not a function. However, if the vertical line intersects the graph at most one point for any given x-coordinate, then it is a function.

In a function, each x-coordinate has a unique y-coordinate. For instance, the point (1, 3) represents that when x=1, y=3. If there is another point on the graph that has the same x-coordinate but a different y-coordinate, then the graph is not a function.

In summary, a graph is a function if it passes the vertical line test, meaning that no vertical line intersects the graph at more than one point. If the graph does not pass this test, it is not a function.

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The solution of the system of equations 4x+2y = 58 and x+4y = 46 is x = 10 and y = 9

The system of equations

4x+2y = 58

x+4y = 46

To solve this equation we have to use the substitution method

Consider the second equation

x+4y = 46

x = 46-4y

Substitute this value of x in the first equation

4x+2y = 58

4(46-4y) +2y = 58

184 - 16y +2y = 58

-16y +2y = 58-184

-14y = -126

y = 9

Substitute the value of y in any equation and find the value of x

x = 46-4y

x = 46-4×9

x = 10

Hence, the solution of the system of equations 4x+2y = 58 and x+4y = 46 is x = 10 and y = 9

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The statement that correctly describes the two functions include the following: A. the number of ribbon flowers that can be made by Martha and Jennie increases over time. Martha's function has a greater rate of change than Jennie's function, indicating that Martha can make more ribbon flowers per hour.

In Mathematics and Geometry, the rate of change (slope) of any straight line can be determined by using this mathematical equation;

Rate of change = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change = rise/run

Rate of change = (y₂ - y₁)/(x₂ - x₁)

For Martha's function, the rate of change is equal to 10.

Next, we would determine rate of change for Jennie as follows;

Rate of change = (9 - 0)/(1 - 0)

Rate of change = 9/1

Rate of change = 9.

Therefore, Martha's function has a greater rate of change than Jennie's function because 10 is greater than 9.

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the correct answer is not among the options provided. The correct answer is  \(65,004\). Thus, option D is correct.

The given geometric series is:  \(-1 + 5 - 25 + 125 ...\)

We can see that each term is obtained by multiplying the previous term by -5. So, the common ratio (r) of this geometric series is -5.

To find the sum of the first 8 terms (S8), we can use the formula for the sum of a geometric series:

\(S_n = a \times (1 - r^n) / (1 - r)\)

where:

S_n is the sum of the first n terms

a is the first term

r is the common ratio

n is the number of terms

Plugging in the given values:

a = -1 (the first term)

r = -5 (the common ratio)

n = 8 (the number of terms)

\(S8 = -1 \times (1 - (-5)^8) / (1 - (-5))\)

\(S8 = -1 \times (1 - 390625) / 6\)

\(S8 = -1 \times (-390624) / 6\)

\(S8 = 390624 / 6\)

\(S8 = 65004\)

Therefore, the correct answer is not among the options provided. The correct answer is \(65,004.\)

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The mathematical statement as given in the task content can be rewritten as; f is a function which maps the values of M to the values of N.

A function, in context of mathematics, refers to an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). On this note, it follows that the mathematical statement maps the variable M to N.

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The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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Answer:

x + 3 = -5

Step-by-step explanation:

Answer:

How much will the handmade scarves and jewellery cost?

How much are they planning to spend on operating costs for their business every year?

Step-by-step explanation:

Answer:

KE=17

Step-by-step explanation:

X=3

12+5=17

18-1=17

hope this helps :)

Answer:

KE length: 17

x = 3

Step-by-step explanation:

In this, the length of KE and EM should be the same. So we can put the numbers we have into an equation:

4x + 5 = 6x - 1

Then we just simplify

1 + 5 = 6x - 4x

6 = 2x

x = 3

Now we should find the length of KE with the expression used for KE:

4(3) + 5

12 + 5

17

Therefore, the length of KE is 17

So you can set this up as a linear equation

y = mx + b

y represents the total amount earned which in this case is $155.

b in this case is the amount earned without any deliveries, $71.

m is the rate/ earning per delivery which is $6

So you can write it as

$155 = $6x + $71

Solve for x

$84 = $6x

14 = x

x = 14

This means that Ben did 14 deliveries yesterday.

\(\huge\red{Answer}\)

1.total number of a kilogram of cat food

2. 14/5 full bag of cat food

3/14 the cats has eaten

3. subtract

4.

5.

14/5-3/14__=11/9

Answer:

x = 5

Step-by-step explanation:

Since, lines l and m are parallel and a transversal intersects them.

So, (9x + 2)° and 133° are the measures of the interior angles formed on the same side of the transversal.

\( \therefore \: (9x + 2) \degree + 133 \degree = 180 \degree \\ \\ \therefore \: (9x + 2) \degree = 180 \degree - 133 \degree\\ \\ \therefore \: (9x + 2) \degree = 47 \degree\\ \\ 9x + 2 = 47 \\ \\ 9x = 47 - 2 \\ \\ 9x = 45 \\ \\ x = \frac{45}{9} \\ \\ x = 5\)

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

2/3

Step-by-step explanation:

1-5 is 4 and 8-2 is 6 so ots 4/6 which can be simplified to 2/3

Answer:

38/10

Step-by-step explanation:

1/5-8/2=38/10

8/2-1/5=38/10

Answer:

315 meters

Step-by-step explanation:

450-135=315

Answer: 315

Mark me brainliest please

Step-by-step explanation:

450-135= 315