Answer:
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

The mean time for the component failure is 2500 hours.
This means that 
What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?
The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Answer: 13.5 ounce bottle for $2.19
a 29.2 ounce bottle for $5.37
The 29.2 ounce bottle is better
Step-by-step explanation:
13.5 ounce bottle for $2.19
a 29.2 ounce bottle for $5.37
find the ratios
13.5/2.19 = $6.16 per unit
29.2/5.37 = $5.44 per unit
Answer:
30%
Step-by-step explanation:
Since we want percentage, we need to convert 1/4th to percentage first.
We will divide, get decimal, and then multiply by 100 to get percentage.
1/4 = 0.25
0.25 * 100 = 25%
Now, we can say:
45% + 25% + chocolate = 100%
70% + chocolate = 100%
chocolate = 100 - 70 = 30
Chocolate = 30%
Answer:
4747
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
X+11=18
subtract 11 from both sides
18-11=7
x=7