Answer:
The probability the average mpg is less than 28 mpg is 0.8413.
Step-by-step explanation:
Given : The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is approximately normal with
Mean mpg and standard deviation mpg.
Number of sample n=36
To find : What is the probability the average mpg is less than 28 mpg?
Solution :
Applying z-score formula,
The portability is given by,
Using z-table,
Therefore, the probability the average mpg is less than 28 mpg is 0.8413.
Answer:
100.9 yards
Step-by-step explanation:
One circuit of the track is a distance of ...
C = 2πr = 2π(60 yd) = 120π yd.
At Alex's running rate, the distance covered in 20 minutes is ...
(4 yd/s)(20 min)(60 s/min) = 4800 yd
The number of circuits will be ...
(4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits
The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,
That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd
The shortest distance along the track to Alex's starting point is about 100.9 yards.
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<em>Additional comment</em>
The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.
I find that Khan Academy is a helpful tool to learn geometry.
Let being these two angles : angle A and angle B
we know that complementary angles assumed make 90 degree so
m<A +m<B = 90 degrees
and given again angle A is proportional inverse by 0,25 and angle B by 0,1(6)
A = 0,25 *x
B = 0,1(6)*x
A+B=90
0,25x +0,1(6)x =90
x(0,25 +0,1(6)) = 90
x(0,41(6))=90
x = 90/(0,41(6)) = 216,3
measure angle A = 0,25*216,3 = 54,075 degrees
measure angle B = 90 -54 = 36 degrees
C Substitute the x and y coordinate into both equations and check to see if they work