A typical doctor's appointment lasts 25 minutes. Last year Dr. Renshaw spent 1072 hours seeing patients. About how many typical
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Answer:
A)
B) the probability that is traveling more than 70 mph is 0.3446
C) the probability that it is traveling between 65 and 75 mph is 0.6449
D) 90% of all cars travel at least 56.85 mph fast on the freeway
Step-by-step explanation:
The speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 5 miles per hour.
Mean =
Standard deviation =
A) X ~ N( _____, _______ )
In general
So,
B) If one car is randomly chosen, find the probability that is traveling more than 70 mph.i.e.P(X>70)
So,
Z=0.4
Using Z table
P(Z>70)=1-P(Z<70)=1-0.6554=0.3446
Hence the probability that is traveling more than 70 mph is 0.3446
C) If one of the cars is randomly chosen, find the probability that it is traveling between 65 and 75 mph.
P(65<X<75)
AT x = 65
Z=-0.6
AT x = 75
Z=1.4
Using Z table
P(65<X<75)=P(-0.6<Z<1.4)=P(Z<1.4)-P(Z<-0.6)=0.9192-0.2743=0.6449
Hence the probability that it is traveling between 65 and 75 mph is 0.6449
D)90% of all cars travel at least how fast on the freeway?
Since we are supposed to find at least how fast on the freeway
So,P(X>x)=0.9
1-P(X<x)=0.9
1-0.9=P(X<x)
0.1=P(X<x)
Z value at 10% =-2.23
So,
56.85 = x
Hence 90% of all cars travel at least 56.85 mph fast on the freeway
Using an exponential function, it is found that the mass of the radioactive sample at the beginning of the 13th day of the experiment was of 169.1 mg.
<h3>What is an exponential function?</h3>A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day, hence A(0) = 500, r = 0.08, and the equation is given by:
At the 13th day, the mass is given by:
More can be learned about exponential functions at brainly.com/question/25537936