Step-by-step explanation:
commutative property of multiplication
3 * 5 means 5 + 5 + 5 which equals 15.
5 * 3 means 3 + 3 + 3 + 3 + 3 which equals 15.
Answer:
Last week Alexander earned $792 in commissions.
Step-by-step explanation:
Giving the following information:
Commission= 11%
Sales= $7,200
T<u>o calculate the total commission, we need to use the following formula:</u>
Total commission= commission rate*sales
Total commission= 0.11*7,200
Total commission= $792
Last week Alexander earned $792 in commissions.
Answer: 1 gallon
Step-by-step explanation:
Hi there!
Using the equation (12*18)-(7*3), where 12*18 is the area of the wall, 7*3 is the area of the door not being painted, you are left with 196 square ft. of wall. further dividing 196/200 is 0.98, meaning that Mr. Smith will only need one gallon of paint for his wall.
[(12*18)-(7*3)]/200
(215-21)/200
196/200
0.98
Let Xi be the random variable representing the number of units the first worker produces in day i.
Define X = X1 + X2 + X3 + X4 + X5 as the random variable representing the number of units the
first worker produces during the entire week. It is easy to prove that X is normally distributed with mean µx = 5·75 = 375 and standard deviation σx = 20√5.
Similarly, define random variables Y1, Y2,...,Y5 representing the number of units produces by
the second worker during each of the five days and define Y = Y1 + Y2 + Y3 + Y4 + Y5. Again, Y is normally distributed with mean µy = 5·65 = 325 and standard deviation σy = 25√5. Of course, we assume that X and Y are independent. The problem asks for P(X > Y ) or in other words for P(X −Y > 0). It is a quite surprising fact that the random variable U = X−Y , the difference between X and Y , is also normally distributed with mean µU = µx−µy = 375−325 = 50 and standard deviation σU, where σ2 U = σ2 x+σ2 y = 400·5+625·5 = 1025·5 = 5125. It follows that σU = √5125. A reference to the above fact can be found online at http://mathworld.wolfram.com/NormalDifferenceDistribution.html.
Now everything reduces to finding P(U > 0) P(U > 0) = P(U −50 √5125 > − 50 √5125)≈ P(Z > −0.69843) ≈ 0.757546 .
There are several information's that are already given in the question. Based on those information's the answer to the question can be easily deduced.
Weight of 4 gallons of gasoline = 25 pounds
Then
Weight of 1 gallon of gasoline = 25/4 pounds
= 6.25 pounds
From the above deduction, we can easily conclude that the unit rate in pounds per gallon of gasoline is 6.25 pounds/gallon. I hope the answer helps you.
