# (a)Debra is playing a role-playing game with her friends. She will roll dice to…

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(a)Debra is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 9/20. Find the odds in favor of her character unlocking the treasure chest.B.(b)A child has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue block are 5/12 What is the probability of choosing a blue block?

Provided below are the sizes of 15 farms, in acres, randomly selected from the state of Oregon. The mean of

Provided below are the sizes of 15 farms, in acres, randomly selected from the state of Oregon. The mean of this sample is 482 acres. 2560 489 313 192 457 542 450 139 424 140 454 112 247 313 398a. Find the median of the sample and compare it to the mean and discuss the difference.b. Find the mean and the median if you throw out the 2560 acre farm which has the largest area by far. What does this tell you

Given that a 7-digit phone number cannot start with 0 or 1, find the following: a) The number of all

Given that a 7-digit phone number cannot start with 0 or 1, find the following: a) The number of all possible phone numbers in a given area codeb) the number of all such phone numbers with no repeating digitsc) the number of all such phone numbers with at least one repeating digitd) the probability of having a phone number with no repeating digits and the probability of having a phone numbers with at least one repeating digit.

17. Debt payments of $1610.00 due today, $725.00 due in 101 days and $670.00 due in 296 days respectively are

17. Debt payments of $1610.00 due today, $725.00 due in 101 days and $670.00 due in 296 days respectively are to be combined into a single payment to be made 170 days from now. Whatis that single payment, if money is worth 9.5% p.a. and the agreed focal date is 170 days fromnow?

The Body Mass Index (BMI) is a measure of an individual’s body size and is calculated with the following formula.

Mathematics Assignment Writing ServiceThe Body Mass Index (BMI) is a measure of an individual’s body size and is calculated with the following formula. (mass in kg, and height in m)Healthy individuals should have a BMI between 18.5 and 25. A BMI below or above this range indicates an underweight or overweight person.a) Calculate the BMI of a person with a mass of 75 kg and a height of 1.80 m.b) What is the minimum weight required of a person 1.60 m tall to remain in the healthy BMI range?c) How tall is a person with a BMI of 24 and a mass of 90 kg?2.As altitude above sea-level increases, the amount of available oxygen decreases as a result of lower air pressure. The following formula relates the altitude, a km, with the percentage of available oxygen compared to sea level, P.P = 100(0.884)aTo breathe properly, a mountain climber needs at least 40% of the sea-level concentration of oxygen. What is the highest altitude he can climb to without an oxygen mask? (You will need graphing technology to solve.)3.The number of calories, C, burned by a runner is related to the runner’s mass, m kg, and the distance run, d km, by the formula C = m x d x 1.036. (Note : You may like this formula written as C = 1.036md )a) How many calories does a 70 kg runner burn from running 15 km?b) How far does a 58 kg person need to run in order to burn 1000 calories?4.Solve for x. Round to 3 decimal places.a) x3 = 15b) x10 = 1000

16. Debt obligations of $700.00 due three months ago and $1810.00 due in one month are to be repaid by

16. Debt obligations of $700.00 due three months ago and $1810.00 due in one month are to be repaid by a payment of $1200.00 today and the balance in six months. What is the size of thefinal payment if interest is 7.75% and the agreed focal date is one month from now?

Determine the independent and dependent variables for each relationship. Justify your reasoning. a. The number of hours you practise your

Determine the independent and dependent variables for each relationship. Justify your reasoning. a. The number of hours you practise your favourite sport is related to your skill at that sport.Independent Variable:Dependent Variable:Reasoning :b. The size of a family’s house is related to the number of people who can comfortably live in the home.Independent Variable:Dependent Variable:Reasoning:c. The number of hours of darkness is related to the time of year.Independent Variable:Dependent Variable:Reasoning:

Terry earns a base salary of $2100 per month. Once he exceeds $40000 in total sales, he earns an additional

Terry earns a base salary of $2100 per month. Once he exceeds $40000 in total sales, he earns an additional 5% commission (salary) on the amount of sales over $40000. Let s be the amount of his total sales for the month and M(s) be the amount of his salary for the month. (For instance, if he had sales of $42000 for the month, he would earn a salary of $2100 and 5% of $2000, since $42000 is $2000 more than $40000.)a. [5 pts] Graph M(s) for s values between $0 and $100000 in sales. Indicate your scale on both the horizontal and vertical axes, and be sure to label what quantities (salary or sales) each axis represents.b. [2 pt] If Terry had $64000 in sales, how much was his salary for that month?c. [2 pts] If Terry’s total salary for a month was $3400, how much were his total sales for that month?d. [2 pts] Compute M(28000) and interpret what this means in the context of the problem (in terms of the monthly salary and the sales).

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