Answer:
Probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.
Step-by-step explanation:
We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.
<em>Let X = incomes for the industry</em>
So, X ~ N()
Now, the z score probability distribution is given by;
Z = ~ N(0,1)
where, = mean income of firms in the industry = 95 million dollars
= standard deviation = 5 million dollars
So, probability that a randomly selected firm will earn less than 100 million dollars is given by = P(X < 100 million dollars)
P(X < 100) = P( < ) = P(Z < 1) = 0.8413 {using z table]
Therefore, probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.
Answer:
Step-by-step explanation:
Assuming the equation is:
Then taking antilogarithms gives:
We simplify on the left to get:
This gives us:
We subtract 3125 from both sides to get:
Answer:
- x + y ≤ 25
- 1.75x + 2.50y ≤ 75
Step-by-step explanation:
- Paperback books = x
- Hard cover books = y
<u>Number of books:</u>
<u>Cost of books:</u>
The system above is the one we need
A) You can get this by switching the x and y values and then solving for y.