5^25 = 5 * 25^12 = 5 * 625^6 = 1220703125. Making an even power and squaring the value to divide the power by 2 reduces the time and just enter it in a calculator.
The probability that 5 would not be working is 0.18665, the probability that at least one machine would be working is 0.00602 and the probability that all would be working is 1.
Given a company has 200 machines. Each machine has a 12% probability of not working.
If we working pick 40 machines randomly then we have to find the probability that 5 would not be working, the probability that at least one machine would be working, and the probability that all would be working.
So
1) probability that 5 would not be working
C(40,5)·0.12⁵·0.88³⁵= 40!/(5!(40-5)!)·0.12⁵·0.88³⁵
≈ 0.18665
2) probability that at least one machine would be working
0.88⁴⁰ ≈ 0.00602
3) probability that all would be working
1 - 0.12⁴⁰ ≈ 1.0000
Learn more about probability here: brainly.com/question/24756209
#SPJ10
Step-by-step explanation:
since KLJ is a parallelogram, it can be split into 2 congruent triangles, as seen above. The angles remain the same, so we know angle KJL is also 25 degrees. Using the triangle angle sum theorem (all sides of a triangle add up to 180 degrees), we can determine the missing angle measure is 25 degrees. It would have been nice if the question told us JKLM was also a rhombus.
Answer: Rectangualr prism
Pls give brainliest
The length of the diagonal of the square is 22.05 units
<h3>How to find the diagonal of a square?</h3>
A square have all its sides equal to each other.
Therefore, using Pythagoras theorem,
c² = a² + b²
c² = (9√3)² + (9√3)²
c² = 81 × 3 + 81 × 3
c² = 243 + 243
c² = 486
square root both sides
c = √486
c = 22.045407685
c = 22.05 units
learn more on square here: brainly.com/question/10583186
#SPJ1
