Answer:
E 0.923
Step-by-step explanation:
The Z score is a measurement used in statistics to determine the relationship between a value and a mean of a group of values measured as standard deviation from the mean. The z score (z) is given as:
, Where μ is the mean, σ is the standard deviation and x is the value.
Given that:
σ = 7, μ = 80 and x = 90

From the normal distribution table, P(X < 90) = P(z < 1.43) = 0.923
Answer:
c) 700
Step-by-step explanation:
Add 800 and 600, and then divide by the number of number, or in this case, two. This should give you 700.
A)
Knights:
25n-C+1250=0
25n+1250=C
C=25n+1250
Legions:
30n+995-C=0
30n+995=C
C=30n+995
b)
fixed cost=b in y-intercept form
variable cost, dependent on n=m in y-intercept form
Knights:
fixed=1250
variable=25
Legions:
fixed=995
variable=30
c)
insert 45 into n for both formulas:
Knights:
25*45+1250=1125+1250=2375
Legions:
30*45+995=1350+995=2345
d)With 45 guests the Legion's Banquett Hall is cheaper, but due to the higher variable cost this changes with a few more people.
calculate break even point:
difference in variable cost=5 -> per person the cost difference will decrease by this much if another person joins
current price difference: 2375-2345=30
30/5=6 -> if there are 6 additional guest (total= 51) they will cost the same
if there are more than 6 additional guest (total >51) the knight's banquett will be cheaper.
B: step 2
You need to multiply the 7 with the 4.5
Let's split it up to make it a little easier.
There's 50 minutes plus another 5 minutes that needs to be added to 11:55
Now, if we add the 5 minutes to 11:55, it becomes 12:00
And we simply have to add the other 50 minutes to 12:00, making it
12:50
So, 55 minutes later than 11:55 is 12:50