A jar contains n nickels and d dimes. There is a total of 253 coins in the jar. The value of the coins is $15.95. How many nicke
1 answer:
There are 187 nickels and 66 dimes in the jar.
Step-by-step explanation:
Given,
Total coins = 253
Value of coins = $15.95 = 15.95*100 = 1595 cents
Value of each nickel = 5 cents
Value of each dime = 10 cents
According to given statement;
x+y=253 Eqn 1
5x+10y=1595 Eqn 2
Multiplying Eqn 1 by 5
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 5
Putting y=66 in Eqn 1
There are 187 nickels and 66 dimes in the jar.
Keywords: linear equation, elimination method
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Answer:
A sample of is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is of:
In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.
This means that
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
How large a sample size is needed to be 95% confident with a margin of error of E?
A sample size of n is needed, and n is found when M = E.
A sample of is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.