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Nina has $245 in 5-dollar bills and 10-dollar bills. She has ten more 5-dollar bills than 10-dollar bills. How many of each type
1 answer:
Answer:
Number of 5 dollar bills = 23
Number of 10 dollar bills = 13
Step-by-step explanation:
Let number of 5 dollar bills be x
and the number of 10 dollar bills be y
Total $245, means we can write:
5x + 10y = 245
Ten more 5 dollar bills than 10 dollar bills, means:
x - 10 = y
Now we substitute 2nd equation in first and solve for x:
Also,
y = x - 10
y = 23 - 10 = 13
So there are 23 5-dollar bills and 13 10-dollar bills
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Answer:
critical value = 1.645
The 90% confidence interval = ( -22.62, -17.58)
Step-by-step explanation:
Given that:
the sample size = 178
the sample size = 226
the sample mean = 54.4
the sample mean = 74.5
population standard deviation = 18.58
population standard deviation = 9.52
level of significance ∝ = 1 - 0.90 = 0.10
The critical value for is 1.645
For the construction of our confidence interval, we use 90% since that is used to find the critical value.
∴
The margin of error =
2.52
The lower limit =
= ( 54.4-74.5) - (2.52)
= -20.1 - 2.52
= -22.62
The upper limit =
= ( 54.4-74.5) + (2.52)
= -20.1 + 2.52
= -17.58
The 90% confidence interval = ( -22.62, -17.58)