Answer:
a) X take values in the interval [0; 1].
b) k = 20
c) P(X≥0.7)=0.46
Step-by-step explanation:
As X represents percentage of iron contained in an ore sample taken from a particular region, it can take values within 0 (0%) and 1 (100%).
Within this values (0 and 1), to be a valid probability density function, the area under the curve of the density probability function has to be 1. This will allow us to calculate the value of k.
This can be written as:
Now, we have to calculate the probability that x≥0.7 (ore sample contains at least 70% iron).
This can be calculated as:
The elapsed time between 1:35 and 6:00 is 4 hours and 25 minutes
Answer:
Length of the resort pool is 13.5 ft.
Step-by-step explanation:
Since, both the rectangular pools are similar in shape,
Corresponding sides of these pools will be proportional.
By the property of similarity,
l =
l = 13.5 ft
Therefore, length of the resort pool will be 13.5 ft.
Answer:
5/16
Step-by-step explanation:
In 5/2 the time, we expect that 5/2 × 1/8 = 5/16 of the test will be complete.
_____
5/2 × (2/5 h) = 1 h