Answer:
1) 78.87%
2) 99.7%
Step-by-step explanation:
The z-score for a normal distribution is given by:
1- The given data is:
σ = 4 years
μ = 50 years
For X = 45 and X =55
A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.
Therefore, the percentage of the alligators are between 45 and 55 years old is:
78.87% of alligators.
2- The given data is:
σ = 2 minutes
μ = 17 minutes
For X = 11 and X =23
A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.
Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:
99.7% of people.
Answer:
$ 71.5
Step-by-step explanation:
firstly kilometer to meters
<em>1 km = 1000 m </em>
therefore 3 km = 3000m
for the first 500 = $40
hence deduct the 500 from 3000m
3000 - 500 = 2500
now find out how many 300m go into 2500
2500 / 300 = 8.33
which is rounded up to 9
therefore the total amount is :
40 + 9 * 3.5
<u>= $71.5</u>
<u></u>
Answer:
D
Step-by-step explanation:
you can model the amount that each phone plan will cost after n minutes with these linear equations
company X: 
company Y: 20 + 4n
if you subtract the functions you can get the function for the
30 + 5n - ( 20 + 4n )
Answer:
In the last two overs, the bowler gave 14 runs.
Step-by-step explanation:
The bowling rate of 4.5 in the first 8 over means he gave 32.5 runs.
i.e.
Score given in first 8 overs = 4.5 × 8 = 36
Given that the bowling economy 5 at the end of 10 overs means the bowler must have given 10 × 5 = 50 score in the total 10 overs.
so, subtract 36 from 50 to get the score he will be giving in the last two overs.
i.e. score given the last two overs = 50 - 36 = 14
Therefore, in the last two overs, the bowler gave 14 runs.
Put 22.5% in a equivalent fraction 225/1000 reduce to 9/40
