5. Find the volume common to two circular cylinders, each of radius r, that intersect at right angles.

Q: Two events A and B are such that P(A) =0.25, P(B) = 0.4 , and P(AUB)3D0.5. Draw a Venn diagram to…

A: From the given information, PA=0.25PB=0.4PA∪B=0.5 The required Venn diagram is shown below:

Q: 24. Among 300 elementary school students, 258 said they like chocolate ice cream, 142 like vanilla…

A: Given that: The total number of students is 300. 258 like chocolate ice cream. 142 like vanilla ice…

Q: ariables. Model the following constraints using only li s: operators such as or or if can not be…

A: Given that invested in choosing a set of investment  using  variables.

Q: d) Use your answers for Parts B and C to compute the 95% confidence interval for the proportion of…

A: (1-α)100% = 95%  α= 0.05 Zα/2  = 1.96 (Use Excel function =NORMSINV(0.05/2) )

Q: For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 35 beats…

A:

Q: Given the probability distributions for variables X and Y shown to the right, P(x,y) Y compute the…

A:

Q: normal population has a mean of $84 and standard deviation of $14. You select random samples of 40.…

A: Given data,Mean μ=84sd    σ=14n=40

Q: 2. I surveyed 150 adults in the U.S. and asked them how many hours of TV the watched on average per…

A: We know that, regression equation for the above situation is given by, Y= a+b1X1+b2X2+b3X3+b4X4…

Q: When was the graph concave down? Explain how the number of states with seat belt laws was changing…

A: step:-1 Part (d):- Concave down:- A graph is said to be concave down at a point if the tangent line…

Q: Consider the following initial-boundary value problem: Ju ər² (DE). (BC), (IC1), (IC2), Fu Ət² u(0,…

A: v(x) is a function of x only so the partial derivatives of v(x) with respect to x is the ordinary…

Q: r A D C

A: We have given a diagram;

Q: A researcher measures the relationship between education (in years) and investment gains (in…

A: We have given that data  And i want to find  Correlation coefficients ( r )

Q: (a) Calculate P(1 1.5). (Round your answer to four decimal places.) 0.4901 x (c) What is the 90th…

A:

Q: 14. (a) Give a parametrization for the intersection of y = x² and z = e". (b) Set up an integral…

A:

Q: Find L for A=2nr+nrl

A:

Q: B. Construct a 95% confidence interval estimate of 4-4, the difference between the mean weight of…

A: Given Information: B) 95% confidence interval estimate of difference between the mean weight of…

Q: Consider the function f(x) whose second derivative is f'(x) = 9x+ 10 sin(x). If f(0) 3 and f'(0) =…

A:

Q: Need help with c and f

A: Given confidence level and degree of freedom then to find critical value of t statistic for the…

Q: I. Find P(C U B). J. Are C and B mutually exclusive events? Show why or why not.

A:

Q: According to one association, the total energy needed during pregnancy is normally distributed, with…

A: Suppose the random variable x defines the total energy needed during pregnancy by a woman.

Q: How many 12-bit strings (that is, bit strings of length 12) are there which: a. Start with the…

A:

Q: According to an airline, flights on a certain route are on time 80% of the time. Suppose 10 flights…

A: Given that, according  to an airline, flights on certain routes are on time 80% of the time. 10…

Q: An antidepressant has historically been known to relieve depression for 80% of patients who use the…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: 1. Consider the following optimization problem: minimize 2x1 + x2 + x3 subject to x2-x3 = 0 5x1 +…

A: (a) No, the given problem is not a linear programming problem. The objective function 2x1​+x22​+x3​…

Q: f(x,y) = /1+9ry, y = r³ for 0 < x < 1. (line integral for a function of two variables is computed…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: A book publisher charges its clients based on the number of pages that are printed. The table below…

A: Given the table shows the number of pages printed of the last six books and the cost of the items…

Q: (a) Demonstrate that a polynomial is completely determined by its coefficients. That is, if n and m…

A: (d) Given that m1,m2,b1,b2 are real no. we need to express lm1,b1.lm2,b2 in quadratic form. We'll…

Q: Harry, Harry would have twice as many stamps as Jimmy. What was the rati 1 of his stamps to 3 Jimmy…

A: To determine the ratio of stamps owned by Harry to the number of stamps owned by Jimmy we have to…

Q: Constructing a Confidence Interval for the Population Proportion The Berkman center for Internet and…

A: Given data,x = 13n = 50Using plus four method,x = 13+2 = 15n = 50+4 = 54

Q: 8. Sign analyze f"(x). h. Find all x-values where the graph is concave down. Use interval notation…

A: To find g), h) and i)

Q: 4) Time (hours) Miles travelled 1 12 24 3 36 The time it takes Mike to ride his bicycle varies…

A: As per our guidelines we are suppose to solve only one question. Kindly repost the other questions…

Q: find c and d.

A: c)The given function is,

Q: Number of Employees: 1,400 Based on last year's performance distribution, The employees received a…

A: Answer:- Given table is, Total number of employees, n = 1400  Using formula, Expected value = n*p

Q: 1. Find the nth Taylor polynomial P₁ for f about x = a. Use P₁, to approximate f(b). Compare your…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: (c) Are the results the same if you apply MAE as the measure of accuracy? (Round your answers to two…

A: Data for time series value is given according to weeks, We have to calculate MAE, MAPE

Q: A piece of a chain's length and weight are in proportion. If 320 cm of chain weighs 8 kg, then ) A)…

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

Q: formula) using shapes H, anu any other polyhedron you have that is neither a pyramid nor a prism. b.…

A: Topic - polygedrons

Q: (a) Given 2 '11 A = 4 1 -8) -3 -8 -1 6 Using Elementary Row Operations find the rank of A. -31 (b)…

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.