MathMaster
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m&m Skittles Brown 46 0 Green 15 37 Red 28 23 Yellow 33 32 Orange 18 35 Blue 17 0 Purple 0 38 What is the probability a randomly selected candy is an m&m and a Skittle? What type of events are these?
Suppose on this road trip there was limited room (hence the heinous crime of mixing skittles and m&ms). Rachael was limited to only brining 2 pairs of shoes out of the 8 pairs she has. How many different combinations of shoes could she bring?
In the fictional country of Statanada, the weights of 18 year old boys are normally distributed with a mean of 160 pounds and a standard deviation of 20 pounds. The weights of 18 year old Statanadian girls are normally distributed with a mean of 135 pounds and a standard deviation of 17 pounds. a) Let the random variables 𝐵 and 𝐺 measure the weights of randomly selected 18 year old Statanadian boys and girls (𝐵 for boys, 𝐺 for girls). What are the mean and standard deviation of the random variables 𝐵 and 𝐺? b) Find the mean and standard deviation of the random variable 𝐵 − 𝐺. Note that 𝐸(𝐵 − 𝐺) = 𝐸(𝐵) − 𝐸(𝐺) and 𝑉𝑎𝑟(𝐵 − 𝐺) = 𝑉𝑎𝑟(𝐵) + 𝑉𝑎𝑟(𝐺). c) If a randomly selected 18 year old Statanadian boy weighs more than a randomly selected 18 year old Statanadian girl, what can you say about the value the random variable 𝐵 − 𝐺 assigns to this pair? d) The difference of two independent normally distributed random variables is another normally distributed random variable. Use this to find P(𝐵 − 𝐺 > 0). e) What is the probability that a randomly selected 18 year old Statanadian boy weighs more than a randomly selected 18 year old Statanadian girl?
solve for x. y=2x+4
Given that f(x) = v 7x + 4 and g (x) = 2x + 9, calculate (g • f) (11)
if x+y=3 and xy=-2 then (x^3+x+1)×(y^3+y+1)
From A to B, V=96km/h. From B to A, V=96km/h+200m/min and T=5 min less than A to B. distance from A to B=? time from A to B=?
Plot the polar equation 𝒓 = 𝟑 − 𝟑 𝐬𝐢𝐧(𝜽). Discuss the Limaçon's loop size, direction, and key points, including the loops
You have done a great job, and your boss offers you a few different possible gifts. Using a discount rate of 10%, which present would you choose? A) A single payment of $75,000 received in 5 years B) $8,000 per year for 10 years, starting two year from now C) One payment of $47,500 received today D) A growing perpetuity that pays $2000 each year starting one year from now. The perpetuity grows at a rate of 1.5% per year. E) All the presents stated are equally good!
40% of employees at a large firm are in favor of union representation, and a random sample of 10 employees are asked for an anonymous response. What is the probability that: a) Most of the employees who respond are in favor of union representation. b) Less than half of the employees who respond are in favor of union representation. choose which is the correct answer a) 0.1662 b) 0.6331 a) 0.1562 b) 0.6131 a) 0.4662 b) 0.6231 a) 0.1632 b) 0.6311
If an average of five service calls are received per hour in a repair department. What is the probability that they receive fewer than three calls during a randomly chosen hour? choose the correct answer a) 0.4662 b) 0.6231 a) 0.1562 b) 0.6131 a) 0.1632 b) 0.6311 a) 0.1662 b) 0.6331
The IQ of a person follows a normal distribution and has a mean of 103 and a standard deviation of 15 Using this information and the 68-95-99.7 rule, find the following What percentage of the people have IQ scores between 88 118
Find the median for the scores: 92, 69, 72, 86, 72, 94, 89, 74, 72, 89, 89, 96, 73, 79
A volume of a sphere is given by V 4 πr3 3 where π 22 . Find the value of r (in cm) if the 7 volume of the circle is 2144.66 cm3.
10 1/3 + 4 2/6
6 5/8 - 4 1/5
what is (x+h)^3
M2+18m+56
A farmer uses 1/3 of his land to plant cassava, 1/3 of the remaining to plant maize and the rest vegetables. What fraction did the farmer use to plant vegetables
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