Question

Asked Sep 17, 2019

3 views

Assume that 4 digits are selected at a random from the set { 1,2,3,4} and are arranged in random order.

Question: What is the probability that the resulting 4-digit number is less than 8000

Step 1

The set of the digits from which the digits are selected randomly and arranged in random order is

Step 2

For a four digit number less than 8000, the digit at first place must be less than 8.

Step 3

Thus,

...Tagged in

Find answers to questions asked by student like you

Q: For problems 1 through 11, use the following sets. The set U is the universal set. 0- -32, - 8, -2, ...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Solve the given initial-value problem. x(dy/dx) + y = 2x + 1, y(1)=7

A: Calculation:Rewrite the given equation as y’ + (y/x) = (2x + 1)/x.The above equation is observed to ...

Q: Hello! I was wondering, how do you add, subtract, multiply and divide fractions.

A: Addition and subtraction of fractions:Case1: when fractions have same denominator:Adding and subtrac...

Q: Find the solution of the initial value problem y' + (2/t)y = sin(t)/ t2 , y(π) = 0, t > 0.

A: Click to see the answer

Q: Let i, r, and k be positive integers, and let s gcd(i, r). Assume that r | ik. Prove that | k.

A: To prove the divisibility property under the given conditions

Q: In Mexico, avocados are 48 pesos per kilogram. What is the cost, in cents, of an avocado that weighs...

A: It is known that 1 dollar is 15 pesos, 1 dollar is 100cents and 1 kg is 2.205lb.Given that avocados ...

Q: Find the smallest angle between the vectors v = (1,1,2) and w= (2,4,5).

A: The given vectors are,

Q: A model for the population P(t) in a suburb of a large city is given by the initial-value problem dP...

A: It is given that,

Q: p=559.04,r = 5.2%, t= 67 days the simple interest rounded to the nearest cent if needed

A: Obtain the simple interest for the given details as follows.r = 5.2%, t = 67 days, p = 559.04

Q: Solve the given initial value problem by using the method of exactness. xy dx+(2x2+3y2-20)dy=0, y(0...

A: First identify M and N and check that the differential equation is exact.

Q: A coin is tossed 4 times and the sequence of heads and tails is recorded. Use the Fundamental Princi...

A: Given that, a coin is tossed 4 times.For each time a coin is tossed, there are two possible outcomes...

Q: Use the method of integrating factors to solve the given initial value problem. y'+3x2y=sin(x)e-x^3...

A: The given equation is

Q: 4, parts a, b, and c please

A: To solve the initial value problem (c) using (a) and (b)

Q: Find the Fourier transform specified in part (a) and then use it to answer part (b). (a) Find the Fo...

A: (a)Consider the provided function.

Q: The question I had to solve was: Let S be the set of real numbers. If a, b are elements of S, defin...

A: Let S is set of all real number. If a, b are elements of S, define a related to b if a-b is an integ...

Q: 3.64 X .15

A: Given that the expression is

Q: the book is "First Course on Fuzzy Theory and Applications"

A: To prove the inequality regarding membership function of the symmetric differenece of two fuzzy sets

Q: Prove: If A and B are n x n matrix and A is inventively, then det(A^-1 BA)= det(B)

A: To prove the result, use the following formulas for any two m x m matrices X and Y:

Q: For a real number r, define Sr to be the interval [r-1, r+2]. Let A={1, 3, 4}. Determine the union U...

A: To identify the union of the three sets completely

Q: Please just do 1(b)

A: To compute the required value , by definite integral

Q: 27+2548+432+9=?

A: Given that the expression is

Q: Verify that the indicated function is an explicit solution of the given differential equation. Assum...

A: The function is given as:

Q: Compute 4.659×10^4−2.14×10^4. Round the answer appropriately. Express your answer as an integer usi...

A: The given expression is

Q: Let F be a finite field of p" elements containing the prime subfield Zp. Show that if a e F is a gen...

A: Given that

Q: the book is "First Course on Fuzzy Theory and Applications"

A: to check if the given fuzzy sets satisfy the convexity condition

Q: Solve the given differential equation by using an appropriate substitution. The differential equatio...

A: To folve the given Bernoulli type differential equation

Q: Suppose n(X)=240n(X)=240 and XX is partitioned into six subsets X1X1, X2X2, X3X3, X4X4, X5X5, and X6...

A: The given details aren(X) = 240n(X1) = n(X2) = n(X3) = xn(X4) = n(X5) = n(X6) = y n(X1) = 3n(X5), (i...

Q: Find the general solution to given set of first order equations. Please refer to image.

A: The given set of first order equation is,

Q: Find the solution to the initial value problems using integration. dH/dx=3x, H(0)=1 d2x/d2y=-9sin(y...

A: Consider first problem:

Q: A DVD is available at a store for $ 16.66. The list price of this DVD was $ 19.19. What was the perc...

A: Calculation:From the given information, the sales price and the original price of the DVD is $16.66 ...

Q: Use the method of separable equations to solve the following initial value problems. dx/dt= xsin(t)...

A: It is given that dx/dt=xsin(t) with initial condition x(0) =1 and xy′=y2 with initial condition y(1)...

Q: Show that (2*,A) is an abelian group. Make sure that you prove associativity, that you identify the ...

A: First to prove that the given group is abelian. Here in the given group G is the set of all subsets ...

Q: A 6 inch personal pizza has 570 calories, with 240 of those from fat. A 14 inch pizza is cut into 8 ...

A: Given that, the 6 inch pizza has 570 calories with 240 of from fat.The 14 inch pizza is cut into 8 s...

Q: Express the repeating decimal number as a quotient of two integers 4.09 with 9 repeating simplf...

A: We want to express the repeating decimal number as a quotient of two integers.

Q: Dancing Stars sells ballet, tap, and jazz shoes. For the upcoming year Dancing Stars plans to sell 1...

A: The ratio of jazz shoes to ballet and tap shoes is 1 : 3 : 6 .

Q: 6.3.22 How many permutations of the letters ABC DEF GH contain D the string AB, DE, and BED?

A: The given letters are ABCDEFGH.Obtain the permutations as follows.

Q: A point is an ordinary point of a non-homogeneous linear second order differential equation, y"+p(x...

A: Consider the differential equation:

Q: Is 8-8=0 a universal or existential quantifier.

A: Let us first go through the definition of universal and existential quantifier as well as universal...

Q: Given the differential equation: (1-x)y"+y=0, x0=0 Find: Seek the power series solution for the dif...

A: Consider the differential equation

Q: a golf cource charges $52 for a round of golf using a set of their clubs, and $44 if you have your o...

A: Calculation:From the given information, the amount gained by using the own set of clubs is ($52 – $4...

Q: Assume that you are located at (A) which is New Orleans. Let Boston (B), Chicago (C) , Denver (D), a...

A: Solution contextSince the data about the distances between the cities, modes of transport or transpo...

Q: Derive the uncertainty delta A for the function A(x,y,z) = x^3 * y + ln(z), where x = 3.1 (plus or m...

A: The function is given as

Q: How many cubic centimeters are there in 3.47yd^3Express the volume in cubic centimeters to three sig...

A: It is known that 1 yard is equal to 91.44Cm.Then 1yd3 is 764554.858cm3.

Q: In a linguistics program there are 61 students. Of these students, 30 of the students speak Finnish...

A: Let us say that,

Q: Hi, please help me with a very detailed, step-by-step approach to the solution to this problem. I wi...

A: Problem concerns linear maps between vector spaces and linear independence

Q: 6.3.16 How many subsets with an odd number of elements does a set with 10 elements have?

A: Consider that the set has 10 elements and we need to find the subsets with an odd number of elements...

Q: 2. If you have 7 types of candy, how many pieces of candy would you have to guarantee that you had a...

A: Click to see the answer

Q: I dont know where to start.

A: The given information is

Q: X< or = (less than or equal to) 3y im not sure how to get the symbol correctly on here and I need...

A: The given inequality is

Q: I asked this question previously, and it was determined by Pearson that it was incorrect, and it is ...

A: Given :