Rewrite each expression as a product of two or quotient of two powers
1 answer:
Answer:
The product is
Step-by-step explanation:
To do this we must understand how the basic operations apply to powers. If the power has the same base and we multiply them, the base remains the same while we sum the powers, if we divide them the base remains the same and we subtract the powers, if we try to make a power of a power the two powers multiply. Applying this rule we have:
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Answer:
206 albums The King of Limbs and 34 albums The Best of Radiohead sold
Step-by-step explanation:
Let x be the no. of The album The Best of Radiohead sold .
We are given that total sales of both albums in one week is 240 albums.
So, number of albums The King of Limbs = 240 -x
Cost of 1 album The Best of Radiohead by Radiohead is $13.83
Cost of x album The Best of Radiohead by Radiohead = 13.83x
Cost of 1 album The King of Limbs, by Radiohead= $7.83
Cost of (240-x) album The King of Limbs, by Radiohead=7.83(240-x)
The total cost revenue of both albums in that week is 2083.20
So, 13.83x+7.83(240-x)=2083.20
13.83x+1879.2-7.83x=2083.20
13.83x-7.83x=2083.20-1879.2
6x=204
x=34
The no. of The album The Best of Radiohead sold is 34
Number of albums The King of Limbs = 240 -x =240-34=206
Hence 206 albums The King of Limbs and 34 albums The Best of Radiohead sold
Answer:
a: Sample mean: 20, Sample standard deviation: 1.732
b: 19.13 <µ < 20.87
c: 18.84< µ < 21.16
d: as the confidence level increases, the interval becomes wider
Step-by-step explanation:
a: Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.
Sample standard deviation is the square root of the variance
See the first attached photo for the calculations of these values.
We need to create a 80% confidence interval for the population. Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.
Look for the column on the t-distribution chart that has "area in two tails" of 0.20 (80%), and row 7 (degree of freedom)
The t-value is 1.415
See the second attached photo for the construction of the confidence interval
We need to create a 90% confidence interval for the population. Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.
Look for the column on the t-distribution chart that has "area in two tails" of 0.10 (90%), and row 7 (degree of freedom)
The t-value is 1.895
See the third attached photo for the construction of the confidence interval
