Given that average age of employees of a large company is Normal
X - average age of employees
X:N(32,4)
The average age of employees in sales dept is 27 years.
Prob that an employee, chosen at random, will be younger than 27 years.
= P(X<27)
Let us convert x into Z
Z = (x-32)/4 = -5/4 = -1.25
Reqd prob = P(Z<-1.25) =0.5-0.3925
= 0.1075
Hence 10.56% is the correct answer.
Answer:
5. (x-8)(x+2)
10. (x-5)(x-5) OR (x-5)^2
Please refer to my image where it shows my work as I’m explaining.
Okay, for system 1:
1. I am using the elimination method to solve. So I check if all the terms are lined up and if any are the same. I found that 2X are common in both equations.
2. The goal is to “eliminate” the term hence the name. So I can choose to add or subtract. I chose subtraction because 2 - 2 equals 0 which is our goal. Solve for the rest of the terms. This will lead to getting y =4. Refer to image for the work.
3. Last step to to find the X value. We do this by picking any of the given equations,then substitute y with 4 and solve to eventually get x = 10. Refer to image for the work.
FOR SYSTEM 2:
1. Again, I am using the elimination method to solve. I noticed that NONE of the terms are in common so I will have to intervene. You can chose any term to create a match with but I chose Y since it was the one I could use the smallest number to multiply with. When multiplying, DONT just multiply Y, multiply ALL the terms in the equation or else everything will crash.
2. Now that I have terms in common I can choose to add or subtract. I chose subtraction because 2-2 equals zero which is what we want. Solve look at image for my process which lead to X = -8
3. Last step is to find the value of Y. Chose any of the given equations in system 2 then substitute x with -8. Refer to image to see process. It lead to y = 20
To check the validity of the answers, substitute the x and y values into both equations both side of the equal side should have the same number. Hope that helped!
Answer:
Nice picture
Step-by-step explanation:
utoo............
1: 1.19 for 67.2 ounces is about 1.77 cents per ounce. However, $1.50 for 72 ounces is about 2.08 cents per ounce. Clearly, then, the first bottle is cheaper.
2. We simply divide 3/4 by 2 to get (3/4)/2=3/(4*2)=3/8.
3. If the length of the second is 20 feet compared to a 2-foot length for the first, the width of the second rectangle will be ten times the width of the first, so the width of the second rectangle is 10*8=80.