6x^-12 - 6y^3 ... I think
Answer:
x=4.5 or 9/2
Step-by-step explanation:
=![\frac{9}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7Bx%7D)
Then, cross multiply
6×X=6x
9×3=27
6x=27
x=4.5
Answer:
8164964.62715
Step-by-step explanation:
please mark this answer as brainliest
Answer:
![2(6x^2y^2+xy-1)\\](https://tex.z-dn.net/?f=2%286x%5E2y%5E2%2Bxy-1%29%5C%5C)
Step-by-step explanation:
We are to find the product of the given expression. Given the expression
(3xy - 1) (4xy + 2), th product is derives by simply opening up the bracket as shown below;
![= (3xy - 1) (4xy + 2)\\\\= 3xy(4xy)+2(3xy)- 1(4xy)-1(2)\\\\= 12x^2y^2 + 6xy-4xy-2\\\\= 12x^2y^2 + 2xy-2\\\\bringing\ out\ the\ common\ factor;\\\\2(6x^2y^2+xy-1)\\\\](https://tex.z-dn.net/?f=%3D%20%283xy%20-%201%29%20%284xy%20%2B%202%29%5C%5C%5C%5C%3D%203xy%284xy%29%2B2%283xy%29-%201%284xy%29-1%282%29%5C%5C%5C%5C%3D%2012x%5E2y%5E2%20%2B%206xy-4xy-2%5C%5C%5C%5C%3D%2012x%5E2y%5E2%20%2B%202xy-2%5C%5C%5C%5Cbringing%5C%20out%5C%20the%5C%20common%5C%20factor%3B%5C%5C%5C%5C2%286x%5E2y%5E2%2Bxy-1%29%5C%5C%5C%5C)
The expression 2(6x²y²+xy-1) gives the required product.
Answer:
460 is part of the confidence interval, which means that we cannot say that there is significant evidence that the mean mathematics SAT score for entering freshmen class is greater than 460
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1 - 0.99}{2} = 0.005](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1%20-%200.99%7D%7B2%7D%20%3D%200.005)
Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 2.575.
Now, find the margin of error M as such
![M = z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
![M = 2.575\frac{101}{\sqrt{90}} = 27.4](https://tex.z-dn.net/?f=M%20%3D%202.575%5Cfrac%7B101%7D%7B%5Csqrt%7B90%7D%7D%20%3D%2027.4)
The lower end of the interval is the sample mean subtracted by M. So it is 436 - 27.4 = 408.6.
The upper end of the interval is the sample mean added to M. So it is 436 + 27.4 = 463.4.
460 is part of the confidence interval, which means that we cannot say that there is significant evidence that the mean mathematics SAT score for entering freshmen class is greater than 460