A collection of nickels and dimes has a value of 1.85. The value of the dimes is 0.10 less than twice the value of the nickels.
1 answer:
Step-by-step explanation:
Let n be the number of nickels and d be number of dimes.
Since we know that the value of one dime equals $0.10 and value of 1 nickel is $0.05, therefore, value of n nickels will be 0.05n and value of d dimes will be 0.10d.
We have been given that a collection of nickels and dimes has a value of 1.85.
Let us represent this information in an equation.
We have been given that the value of the dimes is 0.10 less than twice the value of the nickels.
We can represent this information in an equation as:
Therefore, our system of equations that can be used to find the number of nickels and the number of dimes is:
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Answer:
(a) 3.75
(b) 2.00083
(c) 0.4898
Step-by-step explanation:
It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].
(a)
Compute the mean of X as follows:
(b)
Compute the variance of X as follows:
(c)
Compute the value of P(X < 3.7) as follows:
Thus, the value of P(X < 3.7) is 0.4898.