Problem 1. The scores of individual students on a national test have a normal distribution with mean 18.6 and standard deviation 5.9. At Federico Ramos Rural High School, 76 students took the test. If the scores at this school have the same distribution as national scores, what are the mean and standard deviation of the sample mean for 76 students?

Q: Find all the solutions of the following equations and graph one of them. e² = -2

A:

Q: Formulate the following problem as a part of equations, and hence find theirsolution.Ray travels 300…

A: The formula relating speed, distance and time is,

Q: Solve each of the following for b:a. 2b + 7 = b + 10 b. 3b - 4 = 24 - b

A: Solution:Given(a)   2b + 7 = b + 10(b)3b - 4 = 24 - bTo find b:

Q: Find all real solutions of the following. Check your results 7(y-7) =D4 y+4

A:

Q: Question 4 Solve the equation. -15y + 75y = -y + 125 O y = 25 Oy = 5 O y - 5 and y =-5

A: Let's solve your equation…

Q: Solve for q: 1 = r

A:

Q: Solve the following simultaneous equations. Give the answer and correct to the four important…

A: To solve the following simultaneous equations p+2q=2 ...(1)1p-1=1+1q ...(2)

Q: x+y+z=3 x+2y + 3z=-0 x+3y+2z=3 What is the value of

A: Given equations: x+y+z=3x+2y+3z=0x+3y+2z=3 We have to find the value of x. Cramer's rule to solve…

Q: Solve EXACTLY like the example attached.  Follow ALL steps. Start with the gcf, then do the…

A:

Q: Simplify both sides of the following equation as much as possible, and then solve: 6. 4y + 3y %3D…

A:

Q: Solve the following equation by completing the square: O -2t 6 O 2t 6 O 128

A: Given, x2 +4x = 6  We have to solve the above equation by completing the square method.

Q: Mary works due north of home. Her husband Juan works due east. They leave for work at the same time.…

A: To find distance of person ‘J’ from his home.

Q: Mary is one year older than john and their ages add up to 15.Form a pair of equations and solve them…

A:

Q: solve for y step by step

A: The given equation is -y-3=-7.

Q: Solve the following equations 4x - y= 13 x- 2y = 5

A: 4x - y = 13 .... (i) x - 2y = 5 .... (ii) Now, multiplying (i) by 2 we get, 8x - 2y = 26 .... (iii)…

Q: Solve the following equation for x : C=-10. (Ax + B)² = C, where A=2, B=6 and

A:

Q: D. Find the solutions of the equation z -1= 0. Plot the answers on an Argand diagram.

A: We have given equation z6-1=0. We have to solve given equation and draw the argand diagram.

Q: solve the following triangle: a=10,6%39,C=11+7

A: The objective is to solve the given triangle

Q: How many people need to attend a party for there to be a > 80% probability that at least two of them…

A: Given information: The probability that at least two of the people share the same birthday is 0.8.

Q: 96 2.

A: Given differential equation is: xdydx-y=x2-y2 xdydx=y+x2-y2 dydx=y+x2-y2x Substitute y=vx…

Q: crystal completed 6 rows of math problems. There were th same number of math problems in each row.…

A: Cystal completed 6 rows. Every row had same number of questions. She has completed a total of 48…

Q: Write a problem for each of the following equations. 12 – X = 3 12X = 60 3X + 2 = 11

A: The objective of this question is to create real-life problems or scenarios that can be represented…

Q: The rest of my solutions, D-F, were not given/solved.

A: The domain of csc-1x is ℝ-(-1,1) and it has a horizontal asymptotes in this domain but no vertical…

Q: Find the exact solution(s) to the following equation. 2e²x=5e*-2

A:

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.