In designing an electric motor, ten components are to be stacked into a cylindrical casing. Component 1 and 2 need to be at the bottom and top respectively. Four components are one type and identical to one another, another two components are also one type and identical to one another, and another two components are non-identical. How many different designs are possible?

Q: How many spherical balls can be made out of a solid cube of lead whose edge measures 66 cm and each…

A:

Q: the number of production defects is  29  and that  16  of these are classified as major defects,  12…

A: Number of production defects = 29Number of major defects = 16Number of design defects = 12Number of…

Q: Consider the triangular plate shown in the accom- panying sketch. How must a total mass of 1 kg be…

A: given

Q: You have four identical conducting spheres: A, B, C, and D. In each scenario, sphere A starts with a…

A: Given:-            When two spheres are touched each others it remains at same potential (V) and the…

Q: A real estate company wants to build a parking lot along the side of one of its buildings using 600…

A:

Q: A pianist plans to play 6 pieces at a recital from her repertoire of 21 pieces, and is carefully…

A: HERE ORDER IS MATTER SO WE USE PERMUTATION FOR NO OF DIFFERENT PROGRAM .

Q: A total of 23 rows are required to build a brick wall. The bottom row requires 117 bricks and each…

A:

Q: Give 1 problems on Pigeonhole Principle and provide solution for the problem.

A: We need to give 1 problems on Pigeonhole Principle and provide solution for the problem.

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 23 pieces, and is carefully…

A: Given, Total 23 pieces Pianist has to choose 5 pieces

Q: We have eight identical balls in shape and size, seven weighing 1kg and one weighing 2kg. Using the…

A:

Q: B. In the design of an electromechanical product, seven different components are to be stacked into…

A: Here component in cylindrical cash arranged in stacked pattern There are total 7 components

Q: Find the length of 1/2 inch conduit from which the fallowing pieces can be cut; 7 7/8 inches, 3 1/8…

A: To find: The total length of 12 inch conduit. Calculation: The total length of 12 inch conduit can…

Q: Two stacks of 23 quarters each are shown. One stack forms a cylinder but the other stack does not…

A: We are given that there are two stacks of 23 quarters each. Also given that one stack forms a…

Q: A certain three-dimensional figure has one base and 3 faces. The area of each face is the same. The…

A:

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be 27…

A:

Q: The lengths of the legs of a right triangle are 4 cm and 6 cm. If the triangle is rotated about one…

A: Given data is : The lengths of the legs of a right triangle are 4 cm and 6 cm To find the greatest…

Q: A baseball team won two out of their last four games. In how many different orders could they have…

A: A baseball team won two out of their last four games. The objective is to find out in how many…

Q: What is the first principle component?

A: Given the data points in 2-d space are 0,0, -1,2, -3,6, 1,-2, 3,-6

Q: A rectanglular table seats 6 people; I person on each end and 2 on each of the longer sides. Thus,…

A: Six people can sit in a rectangular table with two people on the shorter side and four people on the…

Q: There are 4 major roads from city x to city y and 3 major roads from city y to coty z. How many…

A:

Q: 5. Assume that each scoop can only hold a maximum of 8 pieces and a minimum of 2. How many ways are…

A:

Q: The operations manager of a plant that manufactures tires wants to compare the actual inner…

A: From the provided information, a) The mean for Grade X can be obtained as:

Q: A certain grade of milk contains 10% butter fat and a certain grade of cream60% butter fat. How many…

A: Let x quarts of milk and (100-x) quarts of cream have to be mixed.  Total amount of butterfat is:…

Q: Will the ladder be long enough to reach the bottom of the window (the base of the ladder cannot be…

A: We have to find that if the length of ladder would be long enough to reach the bottom of the window.

Q: A certain drug is made from only two incredients:  compound A and compound B.  There are 3…

A: Given:A certain drug is made from only two ingredients:  compound A and compound B.  There are 3…

Q: 3. Prove analytically that the sum of the lengths of two sides of a triangle is greater than the…

A:

Q: EX#3: A baker added enough chips to the dough so that only 1% of the cookies will contain no chips.…

A:

Q: If ten components are to be stacked into a cylindrical casing. Component 1 and 2 need to be at the…

A: Given three components are of one type and identical to one another and two components areof…

Q: A wire of length L meters is to be divided into two parts; one part will be bent intoa square and…

A:

Q: 5. A sheet of cardboard 3 ft by 4 ft will be made into a box by cutting equal-sized squares from…

A: The volume of the box can be obtained using the formula v=l×w×h. Here, l is the length , w is width…

Q: In a medical supply​ room, there are 165 packages of type O positive blood and 210 packages of type…

A: Given Information - Number of type O positive blood packages = 165 Number of type AB negative blood…

Q: A jeweler has three small solid spheres made of gold, of radius 2 mm, 3 mm, and 4 mm. He decides to…

A: Let the radius of large sphere be x. The volume of the large sphere is 43πx3. Model the equation for…

Q: a box is made from a tin sheet 7 in. square by cutting out identical squares from each corner and…

A:

Q: A chemist needs 120 mililiters of a 30% soultion but has only 21% and 33% solutions available. Find…

A:

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 27 pieces, and is carefully…

A: Total number of pieces = 27 Number of pieces play = 5 To find different recital programs possible.

Q: In the design of an electromechanical product, 6 different components are to be stacked into a…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 20 pieces, and is carefully…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: If a cube has edges that are each twice as long as a second cube then its volume will be eight times…

A: Calculate volume in the following way:-

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 26 pieces, and is carefully…

A: Given that, the number of pieces in repertoire is 26 and the number of pieces planed to play is 5.…

Q: 4. Assume that each scoop can only hold a maximum of 8 pieces. How many ways are there to sprinkle…

A:

Q: A 10ft board is to be cut into three pieces, two equal-length ones and the third 3 in. Shorter than…

A: Calculation:It is given that the length of a board is 10ft which has to be cut into three…

Q: cubic centimeter cube is painted on all its side. If it is sliced into 1 cubic centimeter cubes, how…

A: There are six side of the cube and as side of cube is 5cm and hence each side will have 5×5=25

Q: The area of a rectangular pasture is 8750 square feet. The pasture is divided into three smaller…

A:

Q: A pyramid is made of metal balls. The lowest layer consists of 4x4 balls, the next layers of 3x3 and…

A: Given  A pyramid is made of metal balls. The lowest layer consists of 4x4 balls, the next layers of…

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be nine…

A: Volumes

Q: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

A: If the given figure, 'h' is the height of the box The length of the box is A-2h Width of the box is…

Q: A pianist plans to play 6 pieces at a recital from her repertoire of 25 pieces, and is carefully…

A: According to the given information, Total pieces of repertoire = 25 Number of pieces pianist plans…

Q: In a factory, machines R, S and T are all producing metal rods of the same length. Machine R…

A: In the given problem

Q: 9. Two of the muscles that control eye movement are attached to the eyeball and intersect behind the…

A: If you like the solution then please give it a thumbs up.. The Answer is:         Angel ADF = 120°…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.