A college student is looking to transfer to two universities and wants to major in STEM but the student has not picked a major. The following are the two majors offered by the two universities that the student is interested in: University A University B Mathematics Mathematics Civil Engineering Physics Electrical Engineering Computer Science Physics Chemistry Mechanical Engineering Statistics

Three months later some vehicles have sold and new models have been brought into the Wheel Shop. Now, there are a different number of bicycles, tandem bicycles, and tricycles in the shop. There are a total of 135 seats, 118 front handlebars (that steer the bike), and 269 wheels. How many bicycles, tandem bicycles and tricycles are there in the Wheel Shop?

There are three light bulbs in a room, and three light switches outside the room. You are outside, and want to match up which switch goes with which light bulb. You can only travel into the room once, and cannot come back in again. You can do anything you want upon entering the room. How can you set the situation so that you will know which switch goes with which light bulb?

Each of us has an ABO blood type. We get this blood type by inheriting two alleles-one from our mother and one from our father. Each of these alleles can be A, B, or O and the combination of the two that we inherit determines our blood type. The table below explains the combinations of alleles and the blood types those combinations produce. Blood Type Alleles Inherited A and A A and B A and O B and B B and O O and O A AB A B B O Harper has alleles A and O (therefore blood type A) and Taylor has alleles A and B (therefore blood type AB). On your own paper, fill in the chart of the possible combinations of alleles that their children could inherit: allele from Taylor A B allele from Harper A O Then list the possible blood types their children can have and the probabilities of each type.

An experiment is designed to see whether 3rd graders can write faster with a pen or pencil. Four third graders participate, 2 boys and 2 girls. For each child, a marble is drawn without replacement from a bucket containing 2 red marbles and 2 blue marbles. If a red marble is selected, the child gets a pen and if blue, the child gets a pencil. The children are assigned in this order: boy 1, girl 1, boy 2, girl 2. LetX be the number of boys assigned to a pen. Find E (X). Find SD(X). а. b.

Oliver starts with a collection of bricks in which the combined number of blue and green bricks is odd. Explain why he cannot end up with a combined number of blue and green bricks that is even.

Helen and her three roommates live in a two-bedroom apartment at the University of Texas at El Paso.  Each has a different major (one woman is majoring in chemistry).  Coincidentally, each woman has a different hair color (one is blonde).  Determine each woman’s full name, hair color, and major. Joan, who isn’t Ms. Bonds, doesn’t have either of the two darker hair colors (black or brown), and neither does Irene.   Glory doesn’t share a room with Ms. Carlson or the accounting major.     Glory’s major isn’t physics.     The physics major has brown hair.     Daniels hair is neither red nor black.     Bonds, whose first name is not Glory, is majoring in English.     Alder and Helen are both majoring in a science and often take classes together.

In this question, you are asked to comment on a student's attempt at answering the question detailed below. Read the question and the student's incorrect attempt first, then answer the questions below. The Question Ronan is building an extension to his house to facilitate a social space and games room. One of his passions is watching sport on a big screen, so he has purchased a wide-lens home cinema projector that he can connect to his laptop, instead of buying a large-screen TV. Having read the manufacturer's guide extensively, and researched his options on the internet for optimising picture quality, he decides that he would like to have a viewing area equivalent to having a 120-inch TV mounted on the wall. This means that the width of the viewing area will be 108 inches. The projector has a wide lens that covers an angle of 72°. He needs to position the projector centrally with respect to the viewing area, on a stand that you may assume is at the correct height for optimum picture…

You are given the chance to play one of two games: One where there is a 20% chance of you winning 8 dollars and an 80% chance of winning 128 dollars. For the second game you have a 20% chance of winning two dollars and an 80% chance of winning 256 dollars. Which lottery is worth more on average, and how much is it worth   discrete math

Certain app allows you to order from different types of cuisine. According with the app's records 23% of the orders are to an American food restaurant, 38% to an Asian food restaurant, 17% to a Mexican food restaurant, 6% to a Dessert place, and the rest are to other types of restaurants. Assume that incoming orders are independent of each other.