Answer:
a) 
And we can find this probability with the complement rule:
b) 
And if we use the z score we got:
Step-by-step explanation:
Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:
Where 
and 
Part a
We are interested on this probability
And we can use the z score formula given by:
And using this formula we got:
And we can find this probability with the complement rule:
Part b
For this case we select a sample of n =44 and the new z score formula is given by:
And if we find the z score we got:
And if we use the z score we got:
In order to solve this we'll start by assigning variables to hamburgers and cheeseburgers, since these are what we're trying to find. Lets say x = hamburgers and y = cheeseburgers. So we know two things, we know that x+y= 763 (hamburgers plus cheeseburgers sold equals 763, and we know that y= x+63 (cheeseburgers sold equals 63 more than hamburgers sold). Now we have a system of equations. This can be solved most easily by rearranging each equation to each y, and then set them equal to each other:
x+y=763 -> y=763-x, and we already have y=x+63. Set them equal to each other:
x+63 = 763-x (add x to both sides) -> 2x+63 = 763 (subtract 63 from both sides) -> 2x = 700 (divide both sides by 2) x = 350. So we solved for x, which is hamburgers sold, which is what the question asks for, so your answer is 350 hamburgers were sold on Saturday
Answer
Rectangle or Square
Why
Only square and rectangle has the property of having a 2 90 degrees angle or right angle.
Answer:
The 32 electricians will take 1 day and 3 hours to complete the wiring.
Step-by-step explanation:
Since it takes electricians 36 days to wire a new housing subdivision, to determine how many days would 32 electricians take to do the same job the following calculation must be performed:
36/32 = X
1.125 = X
1 = 24
0.125 = X
0.125 x 24 = X
3 = X
Therefore, the 32 electricians will take 1 day and 3 hours to complete the wiring.
