(29 PTS) Explain how the Quotient of Powers Property was used to simplify this expression. 3^4/9 = 3^2
2 answers:
Answer:
B. By simplifying 9 to to make both powers base three and subtracting the exponents
Step-by-step explanation:
When you have a division the quotient of powers property states that the exponents should be substracted, and by simplifying 9 to you end up with an equation like this:
=
Then you just have to substract the exponent from the denominator from the numerator´s exponent, which would be:
4-2=2
and the resultant equation would be:
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Given that the basket of watermelons sells for $9 before tax and the tax rate is 9%.
The tax on the basket of watermelons is given by
Therefore, the total price Tiffany pays for the basket of watermelons is $9 + $0.81 = $9.81
The tax on the basket of watermelons is given by
Therefore, the total price Tiffany pays for the basket of watermelons is $9 + $0.81 = $9.81
Answer:
Assuming a significance level of we have that the p value is lower than this significance level so then we can conclude that the mean for checkout time is significantly less for people who use the self-service lane
Step-by-step explanation:
Data given
Our notation on this case :
represent the sample size for people who used a self service
represent the sample size for people who used a cashier
represent the sample mean for people who used a self service
represent the sample mean people who used a cashier
represent the sample standard deviation for people who used a self service
represent the sample standard deviation for people who used a cashier
Assumptions
When we have two independent samples from two normal distributions with equal variances we are assuming that
The statistic is given by:
And t follows a t distribution with degrees of freedom and the pooled variance
is given by this formula:
System of hypothesis
Null hypothesis:
Alternative hypothesis:
This system is equivalent to:
Null hypothesis:
Alternative hypothesis:
We can find the pooled variance:
And the deviation would be just the square root of the variance:
The statistic is given by:
The degrees of freedom are given by:
And now we can calculate the p value with:
Assuming a significance level of we have that the p value is lower than this significance level so then we can conclude that the mean for checkout time is significantly less for people who use the self-service lane