The cash drawer of the market contains $227. There are six more $5 bills than $10 bills. The number of $1 bills is two more than
1 answer:
Answer:
There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.
Step-by-step explanation:
There are bills of one dollar, five dollars and ten dollars on the cash drawer, therefore the sum of all of them multiplied by their respective values must be equal to the total amount of money on the drawer. We will call the number of one dollar bills, five dollar bills and ten dollar bills, respectively "x","y" and "z", therefore we can create the following expression:
We know that there are six more 5 dollar bills than 10 dollar bills and that the number of 1 dollar bills is two more than 24 times the number of 10 dollar bills, therefore:
Applying these values on the first equation, we have:
Applying z to the formulas of y and x, we have:
There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.
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Answer:
Option c: Fail to reject the null hypothesis at α = 0.10
Step-by-step explanation:
We are given;
Population mean; μ = 70
population standard deviation; σ = 17.32
Sample mean; x¯ = 72.43
Sample size; n = 35
Thus;
Null hypothesis; H0: μ = 70
Alternative hypothesis; Ha: μ > 70
Z-score formula is;
z = (x¯ - μ)/(σ/√n)
z = (72.43 - 70)/(17.32/√35)
z = 2.43/2.9276
z = 0.83
From online p-value from z-score calculator attached, using z = 0.83; significance level = 0.05 and one tailed hypothesis, we have;
P-value ≈ 0.2033
It's more than the significance value, so we will fail to reject the null hypothesis at α = 0.05
Similarly, From online p-value from z-score calculator attached, using z = 0.83; significance level = 0.01 and one tailed hypothesis, we have;
P-value ≈ 0.2033
It's more than the significance value, so we will fail to reject the null hypothesis at α = 0.01
Similarly, From online p-value from z-score calculator attached, using z = 0.83; significance level = 0.10 and one tailed hypothesis, we have;
P-value ≈ 0.2033
It's more than the significance value, so we will fail to reject the null hypothesis at α = 0.10
From the 3 significance values, the correct option is option c. fail to reject the null hypothesis at α = 0.10
