3)- A large freight elevator can transport a maximum of 10,000 pounds (5 tons). Suppose a load of cargo containing 45 boxes must be transported via the elevator. Experience has shown that the weight y of a box of this type of cargo follows a probability distribution with mean µ = 200O pounds and standard deviation o = 55 pounds. What is the probability that all 45 boxes can be loaded onto 45 the freight elevator and transported simultaneously? [Hint: Find P( yS1000 ). (Central Limit Theorem)]

Q: 7) Find the solution to the equation V2x + 5 - 6= -4.

A: We have to find x

Q: 1. Solve the following equations:  |2x+8|=3x+7 2|x - 7|=x-8 |3x-5|=4+2x

A:

Q: 3. Solve (x- 5)(x² +5x + 6) = 0

A:

Q: 2. Simplify and solve log5 V9.

A: Given that: log59

Q: 2. Solve the following simultaneous equations by elimination: (3x - y = 5 4x + y = 9 a) b) {3x 7x

A: a) we need to solve given system by elimination method b) we need to solve given system by…

Q: A. Which of the following have integer solutions? Why? 1. 21x – 7y = 88 2. 55x + 44y = 99 3. 42x +…

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for…

Q: 1. Solve using substitution 2x + y = 14   3x - 2y = 7

A:

Q: 17. Solve the equation 8x +1 = 5x

A: Given     8x2+1=5x  ⇒ 8x2+1-5x=0  ⇒ 8x2-5x+1=0 Compare the above equation with ax2+bx+c=0 we have,…

Q: Demonstrate that the equation x6 + y¹² = 703 has no integer solutions.

A:

Q: 7) Solve for x: 5x - 2x+7= 0 %3D

A: Solving by quadratic formula we can get

Q: What is the number of non-negative integer solutions to the equation x+y+z+w=15?

A: Number of non-negative integral solutions for x1+x2+...+xn=m is given by Cn-1n+m-1 We have:…

Q: Construct a mathematical model and solve the following problem: The product of two consecutive…

A: Let x and x+1 be the number. Here, the product of two consecutive numbers is 1640.…

Q: 4x³-12x²-x+3=0

A:

Q: 11) Solve by Substitution a. b. -4x – 2y =-1 y=-2x – 4 x+3y=-17 -8x + 8y =-24

A:

Q: Solve: 4(1-x)-10x =-13(x+1)

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Q1) Solve the following equation . 3-2x 3 2.

A: Consider the equation  3-2x3=x2

Q: 5. 16yk+2 Solve the difference equation + 8yk+1+yk = 6-k, yo = 4, y₁ = 1

A:

Q: 18. Solve the following: 3 10 x + 5 x2 + 7x + 10 x + 2

A:

Q: How do I solve, step by step:  1/5(13y-2)+1/10(4y+11)=

A: Solve the equation 1/5(13y − 2) + 1/10(4y + 11) = 0 for y as follows.Consider the expression 1/5(13y…

Q: n 10x + 11y = n has

A: The equation as, ax+by=S. The smallest positive integer S is expressed as, S=(k+1)*a*b

Q: dy e2x-y Q.2 Solve dx ex+y

A:

Q: 3) How many solutions does the equation a + b +c + d+e+f= 30 have if each variable must be a non-…

A:

Q: solve the following 8x-4=10x+6

A: To determine the value of x.

Q: How do I solve 1/2h(b1+b2) if h=3, b1=4, and b2=6?

A: In order to solve the given expression, first of all put the value of h, b1 and b2 in the given…

Q: 5. Write an equation that would have infinitely man solutions with the equatio below: 5x + 3y-12

A: We have been given the equation  5x +3y - 12

Q: 0 = A + Bln 4 1 = A + Blm 6 Solve for A, B

A: Ans : A = -3.419 and B = 2.466Explanation:Explaination:

Q: 2. Determine the general solution of the following equation X₁ 3 -1X1 e 1-(³ + X₂ 1

A:

Q: 1. Solve the simple equations: 7x -2 19 - 4x + 3 = 1 3 2 2x + x- 13x + 6= 0 2 Solvo uei

A: Solution

Q: 5) Solve the problem: Adalberto takes 120 minutes to finish an algebra 2 exam, while Yessenia takes…

A: Solve for to finish the test if they work together

Q: b. Solve y = -x³ + x² + x- 3 and y = x-3 using Substitution Method. I

A: