Answer:
0.298
Step-by-step explanation:
in this case we have an exponential distribution:
1 - e ^ (- x / y)
where x and y corresponds to the times we find in the exercise.
Now follows memoryless property.
P (More than 23 additional minutes | 20 minutes passed)
P = P (More than 23 minutes)
P = 1 - P (Less than or equal to 23 minutes)
P = 1 - (1 - e ^ (- 23/19))
P = 0.298
Therefore the probability is 29.8%
Answer:
15,36,39
Step-by-step explanation:
15² + 36² = 39²
Can't see the figure, but the basic way to solve this problem is to use the formula for volume of a pyramid which is (length * width * height )/3. Slant height is just the square root of ((length/2)2 + height2) recognizing that there is a right triangle there. Since slant height increased by 4 cm when its height increased by 2cm, you know that the length/2 term had to increase by the square root of 12 (22+root(12)2) = 42=16. From there you can figure out the rest pretty readily.
Distribute ^4 to both 2 and q^5
2^4 = 2 x 2 x 2 x 2 = 16
(q^5)^4 = q^20
16(q^20) = 16q^20
16q^20 is your answer
hope this helps
Substitute the values. 
Follow PEMDAS and multiply and divide first. 
Continue following PEMDAS and subtract. 
