ANSWER: 32 five-dollar bills
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EXPLANATION:
Let x be number of $5 bills
Let y be number of $10 bills
Since we have total of 38 bills, we must have the sum of x and y be 38
x + y = 38 (I)
Since the total amount deposited is $220, we must have the sum of 5x and 10y be 220 (x and y are just the "number of" their respective bills, so we multiply them by their value to get the total value):
5x + 10y = 220 (II)
System of equations:
Divide both sides of equation (II) by 5 so our numbers become smaller
Rearrange (I) to solve for y so that we can substitute into (II)
Substituting this into equation (II) for the y:
We have 32 five-dollar bills
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If we want to finish off the question, use y = 38 - x to figure out number of $10 bills
32 five-dollar bills and 6 ten-dollar bills
Answer:
The answer to your question is 12 ft
Step-by-step explanation:
Data
Height of the flag pole = 24
shadow of the flag pole = x
height of the man = 5 ft
shadow of the man = 2.5 ft
Process
1.- Use the Thales' theorem to solve this problem
shadow of the flag pole/height of the flag pole = shadow of the man/height
of the man
- Substitution
x/24 = 2.5/5
- Solve for x
x = 2.5(24)/5
- Simplification
x = 60/5
-Result
x = 12 ft
C because it makes complete common sense but idk though just in case I'm wrong and u can't blame me lol
Answer:
The correct option is (B) Fail to reject the null hypothesis with either α = .05 or α = .01
Step-by-step explanation:
Consider the provided information.
The size of sample 1 = n1 = 10
The size of sample 2 = n2 = 10
It is given that the test statistic is: t = 2.095
For α = 0.05
ndf = n1 + n2 - 2
Substitute the respective values in the above formula.
ndf = 10 + 10 - 2 = 18
Two Tailed Test:
From the table, critical value of t = 2.1009
But the calculated value of t = 2.095 which is less than critical value of t = 2.1009, Fail to reject .
For α = 0.01
From the table, critical value of t = 2.8784
But the calculated value of t = 2.095 which is less than critical value of t = 2.8784, Fail to reject .
Hence, the correct option is (B) Fail to reject the null hypothesis with either α = .05 or α = .01