The answer to this is -76
The z-score is given by:
z=(x-μ)/σ
but
x-μ=52
thus
z=52/√84681
z=0.1787
Thus:
P(X≤52)=0.9633
Answer:
a) 0.1 = 10% probability of a tip of $200 or more.
b) 0.4 = 40% probability of a tip of up to $50.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Distribution:
Total of 500 checks.
200 with tips in the interval of 0-20.
100 with tips in the interval of 20-50.
75 with tips in the interval of 50-100.
75 with tips in the interval of 100-200.
50 with tips of 200 or more.
a) What is the probability of a tip of $200 or more?
50 out of 500. So

0.1 = 10% probability of a tip of $200 or more.
b) What is the probability of a tip of up to $50?
200 out of 500. So

0.4 = 40% probability of a tip of up to $50.
Answer:
The number of miles Mark runs in each track be 
Step-by-step explanation:
Let us assume that the number of miles Mark run in each track meet be x.
As given
Mark ran 875 miles this year in the track club.
Mark ran in 52 track meets and ran the same number of miles in each.
Than the equation becomes
52 × x = 875


Therefore the number of miles Mark runs in each track be 
Answer:
-2
Step-by-step explanation:
To answer this, just take the negative reciprocal of 1/2. We obtain -2.