The constant is used in mathematics, physics, and other related fields such as engineering extensively. In this exercise, you are going to compute an approximation of the constant T. Gambler Jack is no mathematician. His friends laugh at him and make a bet that Jack does not know the number x, not even the first three most significant digits. Jack is going to lose the bet but his girlfriend, Jane, is an accountant and she is going to help. She suggested Jack the following idea. r 2r Figure 3: A circle with radius r inside a square with sides of length 2r. 1. Use a circular dartboard of radius r inside a square of length 2r as shown in Figure 3. 2. Throw n number of darts rundomly onto the dartboard. 3. Count the number m of darts that falls inside the circle. 4. The ratio of m over n is approximately a quarter of a circle. If you are still lost, the conversation above can be distilled into the following equation for computing the probability p of the dart landing inside the cirele: area of circle area of square (2r)2 You can approximate the probability by using the following formula: Tumber of darta inaide eircle pr total number of darts thrown Since this is an approximation, your answer may not be close to r. For instance, if I throw 10 darts and 8 of them lands inside the circle then T (8/10) x 4 = 3.2. Question Write the function monte_carlo_p1 (n) which returns an approximation of a by throwing the darts n times. Theoretically, the more darts you throw, the more accurate your n is.

Q: 7. 5(c+4)=D.

A: To find the value of C

Q: Given P(E) = 0.34, P(F) = 0.36, and P(E and F) = 0.17, what is P(E or F)?

A: Solution: From the given information,

Q: Nearly half of the U.S. population lives in coastal areas susceptible to coastal hazards, and the…

A: Here we are given a linear equation  C=2.5N+175 for the number of persons per square mile living in…

Q: Suzie plays with her legos 2/3 of the time. Regardless of what she is playing with, she plays in the…

A: Given information- Suzie plays with Legos 2/3 of the time, P(Lego) = 2/3 Regardless of what she is…

Q: On the Fourth of July Sam took a red pill at 8 A.M. and a green pill at noon. The next day he took a…

A: Given that, On the Fourth of July Sam took a red pill at 8 A.M. and a green pill at noon. Also given…

Q: (a) Jace has 4 less than 7 times as many shoes as Jayden. Together, Jace and Jayden have 140 shoes.…

A:

Q: and B = %3D 3. Calculate-2A+B (: ) 3 6 -5 ...... ( ) 6 3

A:

Q: If P(A) = 0.5 and P(B) = 0.80, then P(A or B) must be 0.95.   TRUE or FALSE

A: From the provided information, P (A) = 0.5 and P (B) = 0.80

Q: How is math connected to people and surroundings?

A: You go to the market and buy something. Now you have to pay for that. So you have to calculate how…

Q: For the following problem, do not use algebra. Make a guess that satisfies one or more conditions of…

A: Given, Rick, Sam, and Li work at a coffee shop for a total of 76 hours.  Sam worked 4 more hours…

Q: Given P(E)=0.49, P(F)=0.34,and P(E and F)=0.15, what is P(E or F)?

A: GivenP(E)=0.49P(F)=0.34P(E∩F)=0.15

Q: Given P(E) = 0.26, P(F) = 0.48, and P(E and F) = 0.11, what is P(E or F)?

A:

Q: Find the missing values. Use the same format as in the table above. a= b= c= d=

A: Solution: Let x be represents the the prize of ticktes

Q: You draw one card from a well-shuffled standard deck of 52 cards. Let R= drawing a red card and let…

A: Number of cards in well shuffled standard deck = 52Event R = Drawing a red cardEvent F = Drawing a…

Q: Given that z = V3+i. (a) Find z10 and express your answer in the form a + ib, where a and b are real…

A: Given that  z=3+i Let z=reiθ=rcosθ+isinθ, then rcosθ=3, rsinθ=1 ⇒r=3+1=2 and θ=tan-113=π6. So,…

Q: Given P(E or F) = 0.18, P(E) = 0.40, and P(F) = 0.46, what is P(E and F)?

A: Solution-: Given: P(E or F)=0.18, P(E)= 0.40, P(F)=0.46  We want to find P(E and F)=?

Q: Given P(E) = 0.23, P(F) = 0.34, and P(E and F) = 0.08, what is P(E or F)

A: P(E) = 0.23, P(F) = 0.34, and P(E and F) = 0.08.

Q: In the problem, state the support, SX, of X. You rent a car whose market value is 31,000 dollars.…

A: SX is the sample space of the X, i.e) all the possible outcomes of the experiment under the given…

Q: Today, you've decided to treat yourself to some dessert, so you go to the store to buy a doughnut or…

A: The objective of this question is to find out the price of a cupcake that would give the same…

Q: (c + m) +d = ( 0 + m) x 1.25 m = ?

A: To find formula for m,  we have to rearrange the terms.

Q: what was the equation though?

A: Note: The previous solution is incorrectly solved. The end behaviors of the function are incorrectly…

Q: Aunt Zena has gone to the weekend fair that her nephew's school is running. The school is trying to…

A: Given information: The amount of the winning coupon is $12 and the cost of each toss is $1.

Q: Given P(E) = 0.45, P(F) = 0.44, and P(E and F) = 0.11, what is P(E or F)?

A: P(E or F) = P(E) +P(F) - P(E and F)

Q: 11. John had 72 more mangoes than oranges. After selling of the mangoes and of the oranges, he was…

A: Let us suppose that the number of oranges he has is x Since the number of mangoes is 72 more than…

Q: Given P(E or F)=0.87, P(E)=0.14, and P(E and F)=0.19, what is P(F)?

A: We have given that,  P(E or F) = 0.87, P(E) = 0.14                              and P(E and F)= 0.19…

Q: Given P(E) = 0.14, P(F) = 0.16, and P(E and F) = 0.16, what is P(E or F)?

A: Concept of General Addition Rule: For any two events E and F the General Addition Rule states that:

Q: While three soldiers guarding an orchard, a theif came in and stole come apples. On his way out, he…

A: Given that While three soldiers guarding an orchard, a theif came in and stole come apples. On his…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.