Question

Determine the poker odds of drawing the following hand from a standard card deck. (4 suits, 13 ranks in each suit.)

What are the odds of drawing a royal flush (AKQJ10 all of the same suit)? Drawing cards is WITHOUT replacement. (NOTE: If necessary, lay out 52 cards on a table and do a dry run before computing the probabilities!)

In order to get a royal flush in spades, you must pick the following 5 cards:a. What is the probability that you will pick the A of spades for your first card?b. What is the probability that you will pick the K of spades for your second card?c. What is the probability that you will pick the Q of spades for your third card?d. What is the probability that you will pick the J of spades for your fourth card?e. What is the probability that you will pick the 10 of spades for your fifth card?f. Now we picked the cards in the order

A K Q J 10

We could have also picked the cards in many other orders such as

A Q K J 10, 10 J Q K A, etc.

Therefore, you have to multiply your answer by a factor F to get the correct probability of getting a royal flush in spades. This factor is

F = 5! What is the value of F?g. Now there are 4 suits in a deck, not just spades. So we need another factor G = 4 to compute the probability of getting a royal flush of ANY suit (spades, hearts, diamonds, or clubs).h. Multiply the above numbers (a) to (g) to get the final probability.

(Note: The probability of getting a pair is 1/649,740. If you did not get close to this number, then you did something wrong.)

The population of a town increases by 1% per month. Identify the independent variable

and dependent variable. Write a statement present the relationship betweens variables. Determine

whether the relationship is linear or exponential model.

What is the weight of liquid mercury displaced by a 2 cm radius solid gold sphere fully submerged? Show your work. Note: the volume of a sphere of radius R is V=(4/3) π R3. Show your work.

A class consists of 8 women and 26 men. If a student randomly selected from the class find the probability that the student is a woman. Write your answer as a decimal rounded to 3 places.

An archer is able to hit the bulls eye 56% of the time. If she shoots 6 arrows , what is the probability that she gets exactly 4 bulls eyes? Assume each shot is independent of the others. Round three decimal places

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.8 years, and standard deviation of 0.6 years.If 15 items are picked at random, 10% of the time their mean life will be less than how many years?Give your answer to one decimal place.

Please help me with these two my prof put them online and I have no clue how to do them! Thank you so much in advance1.0.570 mol sample of carbon dioxide gas at a temperature of 23.0 °C is found to occupy a volume of 25.8 liters. The pressure of this gas sample is ____ mm Hg.2. A sample of neon gas collected at a pressure of 590 mm Hg and a temperature of 301 K has a mass of 26.2 grams. The volume of the sample is _______ L.

A bungee jumper whose mass is 82 kg, jumps from a tall platform. After reaching his lowest point , he continues to oscillate up and down, reaching the low point two more times in 9.6 seconds. Ignoring air resistance and assuming that the bungee cord is on ideal spring determine its spring constant.

A 5KG block moving at with speed v = 20 m/s experiences a net force of 10N in the direction antiparaellel to its motion. What is the magnitude of its acceleration.

1- A parts store sells both new and used parts. 60% of the parts sold are used, while 9% of all the parts sold are defective. If 5% of the parts in the store are used and defective, what is the probability that the next customer will purchase a part that is used or defective?

2. You draw one card from a standard deck.

a) What is the probability that it is a 7 or a Queen?

b) What is the probability that it is a spade or a face card?

Four towns wish to build a radio station. Suppose that the towns are located at (0, 0), (3,0), (0, 8) and (7, 7) on a square grid.At what point (a, b) should the station be located to minimize the sum of the squares of the distances from each town to the station?

Four towns wish to build a radio station. Suppose that the towns are located at (0, 0), (3,0), (0, 8) and (7, 7) on a square grid.At what point (a, b) should the station be located to minimize the sum of the squares of the distances from each town to the station?

Determine the x-coordinate of the solution to the system of equations:x – y = – 6x + 4y = 14The x-coordinate isSolve the system of equations and write the answer as an ordered pair:0.5x + 0.5y = – 6

x – y = 2Two angles are complementary if the sum of their measures is 90 degrees. The measure of the first angle is 42 degrees more than 2 times the second angle. Find the measure of the first angle.

A. The measure of the first angle is 16 degrees.

B. The measure of the first angle is 88 degrees.

C. The measure of the first angle is 2 degrees.

D. The measure of the first angle is 74 degrees.A vendor sells pizza and soft drinks. A customer buys 8 slices of pizza and 6 drinks for $39.50. Another customer buys 5 slices of pizza and 7 drinks for $30.44. Find the cost of a slice of pizza.A slice of pizza costs $

Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants in electrical equipment. Disposal of items containing less than 50parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor contains PCB with a mean of

Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is

22

22

feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?