13. Six friends will stay at a cabin in the woods this weekend.
1 answer:
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Let, the numbers of nickels be x.
Given, there were 5 times as many dimes as nickels.
So, the number of dimes = 5x
We know that 1 nickel = $(0.05)
So x nickels = $(0.05x)
Also we know that 1 dime = $(0.1)
So 5x dimes = $(0.1 ×5x) = $(0.5x)
Given total value of dimes and nickels at the end of day 1 is $63.80
So we can write the equation
Now we to find x, we have to move 0.55 to the other side. As 0.55 is multiplied there so to move it we need to divide it to both sides.
So we have got the number of nickels = 116
Number of dimes = 5x = 5(116) = 580
So we have got the required answer.
Number of nickels = 116, number of dimes = 580.
Answer:
sample size if he uses a previous estimate of 32% is 523
sample size if he does not use any prior estimates is 601
Step-by-step explanation:
estimate E = 4 percentage = 0.04
confidence Cl = 95% = 0.95
previous estimate p = 32% = 0.32
q = 1 - 0.32 = 0.68
to find out
size of sample
solution
first we calculate z value for 95% confidence E = 0.04 is 1.96
from probability P(-1.96 < z < 1.96) = 0.95)
here z = 1.96
so in 1st part size of sample we know
E = z ×
put all value E, z p and q and we get n
n = (z/E)² ×p×q
n = (1.96/0.04)² ×0.32×0.68
n = 523
sample size if he uses a previous estimate of 32% is 523
now in 2nd part we take p = 0.5
so n will be
n = (z/E)² ×p×q
n = (1.96/0.04)² ×0.5×0.5
n = 601
sample size if he does not use any prior estimates is 601