The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. The area of the
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Answer:
measure the volume of cherry syrup solution with Tartar Emetic = 22.5 mL
Hence, the correct quantity of tartar emetic to fill the prescription will be obtained
Step-by-step explanation:
Given:
Mass of Sodium citrate = 5 g
Mass of Tartar Emetic = 0.015 g = 15 mg
Volume of Cherry syrup ad 120 mL = 120 mL
sensitivity = 4 mg
Error = 5%
Now,
The smallest weight that can be measured =
or
The smallest weight that can be measured = = 80 mg
Now,
80 mg is dissolved in 120 mL of Cherry syrup according to prescription
( Thus,
1 mg is dissolved in of Cherry syrup according to prescription )
so to measure 15 mg of Tartar Emetic, measure the volume of cherry syrup
=
= 22.5 mL
Hence, the correct quantity of tartar emetic to fill the prescription will be obtained
Answer:
a.
b.
c.
d.
Step-by-step explanation:
The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.
So, the PMF of X is equal to:
Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:
For binomial distribution:
Therefore, the company can expect to win 0.3 bids and it is calculated as:
Additionally, the standard deviation of the number of bids won is:
Finally, the probability to won 1, 2 or 3 bids is equal to:
So, the expected profit for the company is equal to:
Because there is a probability of 0.243 to win one bid and it will produce 50,000 of income, there is a probability of 0.027 to win 2 bids and it will produce 100,000 of income and there is a probability of 0.001 to win 3 bids and it will produce 150,000 of income.