find the number degree of freedom, Critical value X², X² Given 95% confidence; n = 25, s = 0.24 Degree of freedom, df = 24 Critical value: X= [Select] X²= [Select] [Select] 39.364 32.852 12.401

Answers

Answer 1

The number of degrees of freedom is 24, and the critical value X² for a 95% confidence level and 24 degrees of freedom is approximately 36.415.

To find the number of degrees of freedom and the critical value X² for a 95% confidence level with n = 25 and s = 0.24, we need to determine the appropriate values based on the chi-square distribution.

The number of degrees of freedom (df) is equal to n - 1, where n is the sample size. In this case, df = 25 - 1 = 24.

To find the critical value X² for a 95% confidence level and 24 degrees of freedom, we need to consult a chi-square distribution table or use statistical software. The critical value corresponds to the chi-square value that leaves 5% (0.05) in the right tail.

Looking up the chi-square distribution table or using software, we find that the critical value for a 95% confidence level and 24 degrees of freedom is approximately 36.415.

Therefore, the number of degrees of freedom is 24, and the critical value X² for a 95% confidence level and 24 degrees of freedom is approximately 36.415.

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Related Questions

6) -4(3 + 5x) + 10(8x + 4)

Answers

Answer:60x+28

Step-by-step explanation:

60x+28
That would be the correct answer

Question 1 pls answer

Question 1 pls answer

Answers

Answer: False

Step-by-step explanation:

The question asks for 3*1/3.

In this case, this can be translated as 3/3.

3 divided by 3 equals 1, not 9.

So the answer is False.

Please What is 4x+6=2x+10

Answers

Answer:

x=2

Step-by-step explanation:

4x+6=2x + 10 | -6

2x = 4 | /2

x=2

X=2

4x + 6 = 2x + 10

move the variables to the left-hand side and change it’s sign

4x + 2x = 6 + 10

Collect like terms

2x = 10 - 6

2x = 4

Divide both side by 2

2x/2 4/2

So the answer is 2

Have a nice day


PROBLEM SOLVING The path of a diver is modeled by the function f(x)=-9x^(2)+9x+1, where f(x) is the height of the diver (in meters ) above the water and x is the horizontal distance (in meters ) from the end of the diving board.

Answers

The horizontal distance from the end of the diving board, x is 1/2 meter and the height of the diver f(x) is 17/4 meters above the water when the path of a diver is modeled by the function f(x)=-9x^(2)+9x+1.

Given:

function f(x) = -9x² + 9x + 1. It represents the path of a diver.

where f(x) is the height of the diver above water, and

x is the horizontal distance from the end of the diving board

The function is in the form of a quadratic equation, which is a special case of polynomial function. Polynomial functions are continuous and smooth in nature. Hence, we can differentiate the function f(x) to obtain the velocity of the diver.

Differentiating with respect to x, we get

df/dx = -18x + 9.

This is the velocity function of the diver. Let v be the velocity of the diver at any point on the path. If the diver hits the water surface, then its velocity is zero.

Therefore, -18x + 9 = 0 => x = 1/2.

This is the horizontal distance of the diver from the end of the diving board when it hits the water surface.

To find the height of the diver at this point, we substitute x = 1/2 in the function f(x).

Hence, f(1/2) = -9(1/2)² + 9(1/2) + 1 = -9/4 + 9/2 + 1 = 17/4.

Therefore, the height of the diver at the point where it hits the water surface is 17/4 meters above the water.

Hence, the horizontal distance from the end of the diving board is 1/2 meter and the height of the diver is 17/4 meters above the water at that point.

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12 circles to 8 squares simplified is what

Answers

The ratio of circles to squares is 3:2 that means for every 3 circles there will be 2 squares all you have to do to find this answer is divide 12 and 8 by 4.

What is the common ratio for the geometric sequence below. written as a fraction? 768 480. 300. 1875​

Answers

Answer:

5/8

Step-by-step explanation:

I believe the last number is 187.5 not 1875. The answer is 5/8

What is the approximate probability of exactly two people in a group of seven having a birthday on April 15? (A) 1.2 x 10^-18 (B) 2.4 x 10^-17 (C) 7.4 x 10^-6 (D) 1.6 x 10^-4

Answers

The approximate probability of exactly two people in a group of seven having a birthday on April 15 is (C) \(7.4 x 10^-^6\)

How we get the approximate probability?

To calculate the probability of exactly two people in a group of seven having a birthday on April 15, we can use the binomial distribution formula:

\(P(X = k) = C(n, k) * p^k * (1 - p)^(^n^-^k^)\)

Where:

P(X = k) is the probability of exactly k successes (in this case, k = 2)n is the number of trials (in this case, n = 7)p is the probability of success in a single trial (in this case, p = 1/365, assuming that all days of the year are equally likely for a birthday)C(n, k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (in this case, C(7, 2) = 21)

So, plugging in the values, we get:

\(P(X = 2) = C(7, 2) * (1/365)^2 * (1 - 1/365)^(7 - 2)\)

\(= 21 * (1/365)^2 * (364/365)^5\)

\(= 2.38 x 10^-5\)

The probability of exactly two people in a group of seven having a birthday on April 15 can be calculated using the binomial distribution formula.

The formula takes into account the number of trials, the probability of success in a single trial, and the number of successes desired.

In this case, we want to find the probability that exactly two people in a group of seven have a birthday on April 15, assuming that all days of the year are equally likely for a birthday.

Plugging in the values into the formula gives us an approximate probability of \(7.4 x 10^-^6\), which is the answer (C).

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two sides of a triangle are 18 ft and 23 ft. Find the range for the measure of the third side.

Answers

Using the triangle inequality theorem the range of measures of the third side is 5 < x < 41

How to find the third side of the triangle?

The triangle inequality theorem states that any side of a triangle must be shorter than the other two sides added together.

In other words, the triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Therefore, for a triangle that has the sides a, b and c will follow the principle below:

c < a + b

b < a + c

a < b + c

Therefore, the triangle has two sides as 18 ft and 23 ft. The range of the third side is as follows:

x < 23 + 18; x < 41

18 < 23 + x

23 < x + 18

Therefore, base on the first and third inequality.

x < 41

x > 5

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Don’t know if you can read this good but if you can please help me

Dont know if you can read this good but if you can please help me

Answers

Answer:A

Step-by-step explanation:

The Row of peas measured 1 1/6 yards and the row of lettuce measured 4 feet long how many inches long was the row of peas and the row of lettuce together?​

Answers

The row of peas and the row of lettuce together are 90 inches long.

How to change yard to inches?

The length of the row of peas is \(1\ \frac{1}{6}\ \text{yards}\) which can be converted to inches by multiplying it with 36 (1 yard = 36 inches).

So, the length of the row of peas is:

\($\begin{equation*}1\frac{6}{1} \text{ yards} = \left(1+\frac{1}{6}\right) \text{ yards} = \frac{7}{6} \text{ yards} = \frac{7}{6} \times 36 \text{ inches} = 42 \text{ inches}\end{equation*}\)

The length of the row of lettuce is 4 feet which can be converted to inches by multiplying it with 12 (1 foot = 12 inches).

So, the length of the row of lettuce is:

4 feet = 4 × 12 inches = 48 inches

Therefore, the total length of the row of peas and lettuce together is:

42 inches+48 inches=90 inches

Hence, the row of peas and the row of lettuce together are 90 inches long.

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Prove that a matrix is sum of two non singular matrix

Answers

A matrix is the sum of two non-singular matrices is not generally true.

I'm sorry, but I'm unable to prove that a matrix is the sum of two non-singular matrices. The statement itself is not true.

A non-singular matrix, also known as an invertible matrix or non-singular square matrix, is a matrix that has an inverse. In other words, a non-singular matrix is one that can be multiplied by another matrix to give the identity matrix.

If we consider the sum of two non-singular matrices, it does not necessarily result in a non-singular matrix. The sum of two non-singular matrices can be a non-invertible matrix or a singular matrix.

For example, let's consider two non-singular matrices:

A = [1 0] B = [0 1]

[0 1] [1 0]

The sum of A and B would be:

A + B = [1+0 0+1] = [1 1]

[0+1 1+0] [1 1]

The resulting matrix A + B is a singular matrix since its determinant is 0. Therefore, it is not the sum of two non-singular matrices.

Hence, the claim that a matrix is the sum of two non-singular matrices is not generally true.

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Really need Help with this One..

Really need Help with this One..

Answers

Answer: 49.5

Step-by-step explanation:

All triangles equal 180 degrees

We know two of these degrees

73+57.5=130.5

180-130.5=49.5 degrees

73 + 57.5 = 135.5
180 - 135.5 = 44.5

pls help me find the answer

pls help me find the answer

Answers

The correct inequality that can be used to determine g, the maximum number of gigabytes Rahul can use while staying within his budget is:

95 > 4g + 36

What is an inequality?

Rahul pays a flat cost of $36 per month and $4 per gigabyte. So, his monthly bill can be expressed as:

Bill = 4g + 36

where g is the number of gigabytes used in the month.

We want to find the maximum number of gigabytes Rahul can use while staying within his budget of $95 per month. This means we need to find the value of g that satisfies the inequality:

Bill ≤ 95

Substituting the expression for Bill, we get:

4g + 36 ≤ 95

Subtracting 36 from both sides, we get:

4g ≤ 59

Dividing both sides by 4, we get:

g ≤ 14.75

Since the number of gigabytes used cannot be a fraction, we can conclude that the maximum number of gigabytes Rahul can use while staying within his budget is 14. Therefore, the correct inequality is:

95 > 4g + 36

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The area of a circle is 4π cm². What is the circumference, in centimeters? Express your answer in terms of π pie

Answers

Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

find the value of each trigonometric ratio

find the value of each trigonometric ratio

Answers

The trigonometric relations from the triangles are

a) tan A = 5/12

b) sin C = 3/5

c) cos X = 3/5

d) sin Z = 4/5

e) tan Z = 4/3

f) tan X = 12/5

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

a)

The triangle is ΔABC

tan A = opposite side / adjacent side

Substituting the values in the equation , we get

tan A = 10/24

tan A = 5/12

b)

The triangle is ΔABC

sin C = opposite side / hypotenuse

Substituting the values in the equation , we get

sin C = 24/40

sin C = 3/5

c)

The triangle is ΔXYZ

cos X = adjacent side / hypotenuse

Substituting the values in the equation , we get

cos X =21/35

cos X = 3/5

d)

The triangle is ΔXYZ

sin Z = opposite side / hypotenuse

Substituting the values in the equation , we get

sin Z = 32/40

sin Z = 4/5

e)

The triangle is ΔXYZ

tan Z = opposite side / adjacent side

Substituting the values in the equation , we get

tan Z = 28/21

tan Z = 4/3

f)

The triangle is ΔXYZ

tan X = opposite side / adjacent side

Substituting the values in the equation , we get

tan X = 12/5

Hence , the trigonometric relations are solved from the triangles

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What are the zeros of the function h (x) = x² + 3x - 8?
A
x = -8 and x = -2
OB
x= -8 and x = 2
cx = -2 and x = 8
OD x = 2 and x = 8

What are the zeros of the function h (x) = x + 3x - 8?Ax = -8 and x = -2OBx= -8 and x = 2cx = -2 and

Answers

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Describe functions.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

The angle measure of 7/12 of the circle is nothing.

Answers

84 degrees, lmk if it is correct

Can you please help me -3x-y=6

Answers

Answer:

(0,-6), (-2,0)

Step-by-step explanation:

-3x-y=6

-y=6+3x

y=-3x-6

when x=0, y=-6

when y=0 x=-2

Can you please help me -3x-y=6

Work out the value of 5 to the power of a if it equal 1/125

Answers

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

In circle T with m∠STU=124 and ST=11 units, find the length of arc SU. Round to the nearest hundredth

Answers

The length of arc SU in circle T can be calculated using the formula: arc length = (angle/360) * (2 * π * radius), where the angle is measured in degrees and the radius is the distance from the center of the circle to the arc.

In this case, the angle m∠STU is given as 124 degrees, and the length of ST is given as 11 units. To find the length of arc SU, we need to determine the radius of circle T.

Since we don't have the radius explicitly given, we need additional information or measurements to find it. Without knowing the radius, we cannot calculate the length of arc SU. Therefore, we cannot provide a specific answer to this question without additional information.

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What percent is represented by the shaded area?

What percent is represented by the shaded area?

Answers

Answer:

152%

Step-by-step explanation:

hope this helps!

please mark me as brainliest! thanks!

FREE PTS! If you were to have any superpower, what would it be?​

Answers

Answer:

Thanks for the pooints

Step-by-step explanation:

And It would be To be smart.

Answer:

To be ultra brainy so I would’ve have to look for easy questions to answer to earn points on brainly

Step-by-step explanation:

Rodrigo and Melissa went to the art supply store to buy drawing materials. Rodrigo bought 10
pencils and 7 felt-tip markers for a total of $19.00. Melissa bought 3 pencils and 5 felt-tip markers
for a total of $10.05. Which of the following systems of equations could be used to determine
the cost of one pencil, P, and one felt-tip marker, m?

Answers

Answer:

10P + 7m = 19 .......... 1

3P + 5m = 10.05 .......... 2

Step-by-step explanation:

Let the cost of pencil be represented by P, and felt-tip by m. So that;

Rodrigo bought 10 pencils and 7 felt-tip at the cost of $19.0.

⇒ 10P + 7m = 19 .......... 1

Melissa bought 3 pencils and 5 felt-tip at the cost of $10.05.

⇒ 3P + 5m = 10.05 .......... 2

From equations 1 and 2,

10P + 7m = 19 .......... 1

3P + 5m = 10.05 .......... 2

Multiply equation 1 by 3, and 2 by 10 to have;

30P + 21m = 57 ......... 3

30P + 50m = 100.5 ....... 4

Subtract equation 3 from 4,

30P - 30P + 50m - 21m = 100.5 - 57

29m =43.5

m = \(\frac{43.5}{29}\)

 = 1.5

m = 1.5

Substitute the value of m in equation 2,

3P + 5m = 10.05 .......... 2

3P + 5(1.5) = 10.05

3P = 7.5 = 10.05

3P = 3

P = 1.0

Thus, the cost of a pencil is $1.0 and that of a felt-tip is $1.5.

James is looking at rectangular pools. He wants to calculate the volume of water in each pool.

Which pool will hold more water: a pool with dimensions 6 feet deep by 11 feet by 11 feet, or a pool with dimensions 2 yards deep by 3 yards by 5 yards?



Responses

The pool with dimensions 6 feet by 11 feet by 11 feet will hold more water.
The pool with dimensions 6 feet by 11 feet by 11 feet will hold more water.

It cannot be determined from the given information.
It cannot be determined from the given information.

Both pools hold the same amount of water.
Both pools hold the same amount of water.

The pool with dimensions 2 yards by 3 yards by 5 yards will hold more water.
The pool with dimensions 2 yards by 3 yards by 5 yards will hold more water.

Answers

Answer:

2 yards by 3 yards by 5 yards

Step-by-step explanation:

6 times 11 times 11 = 726

3(2*3*5) = 6*9*15 = 810

*Please mark brainliest answer

who likes one direction and what 92 times 104

Answers

I like one direction!

Answer: 9,568

Hope this helps!

Step-by-step explanation:

it's 9,776 the answer the problem is 9,776

concerning the eoq model, if demand or annual usage increases by 10 percent, then the eoq will ________.

Answers

If demand or annual usage increases by 10 percent, the Economic Order Quantity (EOQ) will increase. The EOQ model is used in inventory management to determine the optimal order quantity that minimizes total inventory costs.

The Economic Order Quantity (EOQ) is a model used in inventory management to determine the optimal order quantity that minimizes total inventory costs. It takes into account factors such as demand, holding costs, and ordering costs. When demand or annual usage increases by 10 percent, it means that more units are being consumed or sold within a given time period.

With an increase in demand, the EOQ will also increase. This is because the EOQ formula takes into consideration the trade-off between holding costs and ordering costs. Holding costs are the costs associated with holding inventory, such as warehousing and insurance, while ordering costs are the costs incurred when placing an order, such as administrative and transportation costs.

When demand increases, more units need to be ordered to meet the higher demand. This results in an increase in ordering costs, as more frequent orders will need to be placed. Consequently, the EOQ will increase to find the new optimal order quantity that balances the increased ordering costs with the holding costs.

In summary, if demand or annual usage increases by 10 percent, the EOQ will increase due to the need to order more frequently to meet the higher demand, resulting in increased ordering costs. This adjustment ensures that the inventory management system remains efficient and cost-effective.

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Difference between trigonal planar and trigonal pyramidal.

Answers

The main difference between trigonal planar and trigonal pyramidal is in their molecular geometry and the arrangement of atoms or groups around a central atom.

In trigonal planar geometry, the central atom is surrounded by three bonding pairs of electrons, resulting in a flat, triangular arrangement. All the bond angles in a trigonal planar molecule are 120 degrees. Examples of molecules with trigonal planar geometry include boron trifluoride (BF3) and formaldehyde (CH2O).

On the other hand, in trigonal pyramidal geometry, the central atom is surrounded by three bonding pairs of electrons and one non-bonding pair (lone pair) of electrons. This arrangement leads to a three-dimensional shape resembling a pyramid, with the lone pair occupying more space than the bonding pairs. The bond angle between the three bonding pairs in a trigonal pyramidal molecule is less than 109.5 degrees due to the repulsion from the lone pair. Ammonia (NH3) and phosphine (PH3) are examples of molecules with trigonal pyramidal geometry.

In summary, the key distinction between trigonal planar and trigonal pyramidal is the presence of a lone pair of electrons on the central atom in trigonal pyramidal geometry, which gives rise to a three-dimensional pyramidal shape. Trigonal planar molecules, in contrast, lack a lone pair and exhibit a flat, triangular arrangement.

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If x=7 and y=−2, evaluate the following expression:7(2x−3y)​

Answers

Answer:

140

Step-by-step explanation:

7(2x-3y)

7(2*7-3(-2))

7(14+6)

7(20)

140

a satellite in a circular orbit 1250 kilometers above earth makes one complete revolution every 110 minutes. find its linear speed, round your answer to 2 decimal places. assume that earth is a sphere of radius 6400 kilometers.

Answers

Its linear speed would be 1637.75  miles/hour

Vt =  435,49 Km/min

Vt  =  26129 Km/hour

Vt = 16630, 35  miles/hour

The distance from the earth center up to the satellite position is:

Earth radius  + distance above the earth  

radius of satellite  6400 + 1250   =  7650 Km

linear speed = Vt  = 2π*r/T

where

r is the radius of the satellite and T period  =  110 min

Then

Vt  =  6,28* 7650 / 110

Vt = 4804/110

Vt  =  43,674.54 Km/min

To get it in Km/h we must multiply by 60

Vt  =  26204m/hour

And finally, to get it in miles per hour we divide it by 16

Vt = 1637.75  miles/hour

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The angle of elevation to a nearby tree from a point on the ground is measured to be 20°. How tall is the tree if the point on the ground is 92 feet from the tree?

Answers

Answer:

Set your calculator to degree mode.

The figure is not shown. Please sketch it to confirm my answer.

tan(20°) = h/92

h = 92×tan(20°) = about 33.49 feet

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Find the mean of x for sample size of 10 O a. 3.5 b. 35.0 OG, 30.5 d. 3.05 0, 0.35 safe handling and storage practices for emergency oxygen systems include what is the money that remains after taxes and other deductions are taken out called? how are movies marketed and distributed? have these aspects changed between the studio and independent systems? a chestnut-colored horse is mated with a cremello (cream-colored) horse. during a 10-year period, all of their offspring are palominos. this pattern of inheritance is best explained by Question 5 Marks: 1 The formula (Volume of Pool / Pump Flow Rate (GPM) x 60 min) = turnover rate, will tell us .Choose one answer. a. the number of hours it takes for the entire contents of the pool to pass through the filters b. the efficiency rate of the pumps c. the gallons per minute flow rate d. the chlorine demand per day fluid flows past a flate plate with a drag force d1. if the free stream velcoty is doubled will the new drag force d2 be larger or smaller than d1 and by what amount What was a key difference between indentured servants from england and slaves from africa?. Glutathione peroxidase has an active site selenocysteine rather than cysteine. How would the change from sulfur to selenium produce similar chemistry, and in what ways would the chemistry differ Consider the following consumer's problem: U(X,Y)= 3X + 2Y. Prices are Px = $5, Py = $10 and Income is m = $500. a) Sketch the budget set. What is the slope of the Budget Line? What are maximal possible consumptions of X and Y? b) Show that the MRSxy = -3/2. c) Sketch the indifference curves onto the budget set and show that, given these prices, optimal consumption implies Y = 0. d) Find the consumer's optimal consumption bundle (X*, Y*) given these prices and income. e) How high would the price of X have rise for the consumer to choose Y> 0? Explain. Are goods X and Y substitutes or complements? Explain. Someone pls help? ........ what is the difference between biotic and abiotic limiting factors? ANCIENT GREEK OLYMPICSOnce every four years, the Ancient Greeks held athletic competitions, called Olympiads. Olympiad means "a period of four years." These games were held in Olympus to honor Zeus, the head god. The first recorded games occurred in 776 BC, but it is likely that they had been held for hundreds of years before. They continued until 394 CE when the Romans outlawed the games. City-states trained their athletes to compete in the Olympic games because it was an honor to win and they believed it would garner the favor of the gods. The athletes did not compete for gold medals, however. The winners received a crown of olive leaves that signified victory, large amounts of money, and free meals for life. At the Olympic games was the only place the leaders of the city-states could meet in safety, as they honored a truce during the games. At first, only men were allowed to compete in the Olympics. Women were not even allowed to watch. Eventually, the Greeks decided to honor Hera, the wife of Zeus, and then they allowed women to participate in running races. The men, however, had a lot of events to choose from and could enter as many as they wanted to. There were four types of running events at different distances. Next, there were combative events. These included boxing and wrestling. Equestrian events followed as the contestants showed their prowess on horseback and in chariots in an arena called the Hippodrome. But themost prestigious event was the pentathlon, a competition in which theathletes had to perform five different events. These included throwing a javelin, performing a long jump, wrestling, running, and throwing the discus. Today's Olympics, which date back to 1896 CE, include a vast array of events that were not included in the original games. Modern games are broken up into summer sports which include 42 events, and winter sports that include 15 events. Today's athletes usually compete in one area, such as gymnastics, in several events, like floor exercises and uneven parallel bars. Ancient Olympics were often violent and bloody, while today's Olympics attempt to measure an athlete's ability without bloodshed. Summary of what I have read:Question l: Why were Greek Olympics held? What was the reasoningbehind it? What did the athletes compete for?Question 2: How are today's Olympics different from Ancient GreekOlympics?Question 3: When were women able to compete in Ancient Olympicgames? What were they allowed to compete in? In the expression 2x-5 identify the following parts