Tracey pays $8.50 of her monthly life insurance premium, and her employer covers the rest. If her monthly premium is $32.25, wha
1 answer:
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Answer:
y =
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = when x =
, thus
=
= 2k ( divide both sides by 2 )
k =
y = ← equation of variation
When x = , then
y = =
=
They hiked the same distance because they were hiking at the same rate.
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.