Answer:
$399.98
Step-by-step explanation:
Given
Mark down percent = 60%
Mark down price = $239.99
Required
Original price of the rack
Let x be the original price of the product. The equation to get x is as expressed below;
60% of x = 239.99
0.6x = 239.99
x = 239.99/0.6
x = 399.98
Hence the rack will ring up for $399.98 at the register
Answer:
The degrees of freedom are given by:
The p value for this case would be given by:
Step-by-step explanation:
Information given
represent the mean height for the sample
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
Hypothesis to verify
We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case would be given by:
Given:
The function is
![A(x)=(3x-3)(3x+2)](https://tex.z-dn.net/?f=A%28x%29%3D%283x-3%29%283x%2B2%29)
To find:
The simplified form of A(x) and value of A(x) at x=1.
Solution:
We have,
![A(x)=(3x-3)(3x+2)](https://tex.z-dn.net/?f=A%28x%29%3D%283x-3%29%283x%2B2%29)
![A(x)=(3x)(3x)+(3x)(2)+(-3)(3x)+(-3)(2)](https://tex.z-dn.net/?f=A%28x%29%3D%283x%29%283x%29%2B%283x%29%282%29%2B%28-3%29%283x%29%2B%28-3%29%282%29)
![A(x)=9x^2+6x-9x-6](https://tex.z-dn.net/?f=A%28x%29%3D9x%5E2%2B6x-9x-6)
![A(x)=9x^2-3x-6](https://tex.z-dn.net/?f=A%28x%29%3D9x%5E2-3x-6)
Putting x=1, we get
![A(1)=9(1)^2-3(1)-6](https://tex.z-dn.net/?f=A%281%29%3D9%281%29%5E2-3%281%29-6)
![A(1)=9-3-6](https://tex.z-dn.net/?f=A%281%29%3D9-3-6)
![A(1)=9-9](https://tex.z-dn.net/?f=A%281%29%3D9-9)
![A(1)=0](https://tex.z-dn.net/?f=A%281%29%3D0)
Therefore, the simplified form of A(x) is
and the value of A(x) at x=1 in 0.
We know that there are 26 letters in the alphabet, and 10 different digit possibilities (0-9). We also know that the plates each have 3 letters and 2 digits. and they can be repeated. To solve this, we multiply 26 X 26 X 26 X 10 X 10 to get the total amount of possibilities 1,757,600. Hope this helps.