3/5 cannot be simplified into a smaller fraction.
Answer:
0.66608
Step-by-step explanation:
Equipment = 3 fans
Mortality = 0.098
We are required to find probability that equipment gets to work for 5years
The question says forces of mortality is constant and also equal to 0.098
To calculate p(x>5)
We will do this by calculating exponentially
e^-0.098x5
= 0.612626394
Probability that at least 2 fans out of 3 are working
3(0.612626394)²+(1-0.612626394)+(0.612626394)³
= 1.1259333x0.3873736+0.2299255
= 0.6660823470
This is approximately
<u>0.6608</u>
this is the probability that the equipment will work for at least 5years
I don’t understand the question.
Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( )sin ( )
sin x - sin y = 2cos ( )sin ( )
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin()sin( ) ]² + [ 2cos( )sin( ) ]²
= 4sin² ( )sin² ( ) + 4cos² ( )sin² ( )
= 4sin² ( )[ sin² ( ) + cos² ( ) ← sin²x + cos²x = 1
= 4sin² ( ) × 1
= 4sin² ( ) = right side ⇒ proven
Answer:
5.497787144 miles
Step-by-step explanation:
Remember that circumference of a circle can be calculated with:
r=radius
We also know that the radius is just a half of the diameter.
So, the radius of the track is (1/2)/2=1/4 miles
Now, use the circumference of a circle formula to find how much she runs in 1 lap.
Simplify
This is how much she runs in 1 lap.
Multiply by 3.5 for 3 and a half laps.
The answer is around 5.497787144 miles.