Answer:
(6x6x6x6) x (6x6x6)
Step-by-step explanation:
6 to the power of four is just 6 multiplied to itself 4 times.
6 to the power of three is just 6 multiplied to itself 3 times.
So, you would be multiplying 6, 7 times.
You could check it with a calculator. - 6^4 x 6^3 = 279936.
6^7 = 279936.
Answer:
The minimum sample size needed is
. If n is a decimal number, it is rounded up to the next integer.
is the standard deviation of the population.
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 - 0.9}{2} = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1%20-%200.9%7D%7B2%7D%20%3D%200.05)
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 = 1.645.
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.
How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?
A sample of n is needed, and n is found when M = 4. So
![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)
![4 = 1.96\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=4%20%3D%201.96%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![4\sqrt{n} = 1.96\sqrt{\sigma}](https://tex.z-dn.net/?f=4%5Csqrt%7Bn%7D%20%3D%201.96%5Csqrt%7B%5Csigma%7D)
![\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%5Csqrt%7B%5Csigma%7D%7D%7B4%7D)
![(\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E2%20%3D%20%28%5Cfrac%7B1.96%5Csqrt%7B%5Csigma%7D%7D%7B4%7D%29%5E2)
![n = (\frac{1.96\sqrt{\sigma}}{4})^2](https://tex.z-dn.net/?f=n%20%3D%20%28%5Cfrac%7B1.96%5Csqrt%7B%5Csigma%7D%7D%7B4%7D%29%5E2)
The minimum sample size needed is
. If n is a decimal number, it is rounded up to the next integer.
is the standard deviation of the population.
Answer:
2013 bestie
Step-by-step explanation:
<span>2x-4y=32
2x-8y=48
--------------subtract
4y = - 16
y = -4
</span>2x-4y=32
2x- 4(-4)=32
2x + 16 = 32
2x = 16
x = 8
answer
(8, -4)
Given:
Free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.
Each bucket of ice cream costs $7.28
Each bucket of frozen yogurt costs $8.21.
To find:
The inequality represents number of ice cream and frozen yogurt that she may buy in addition to get a free ice cream maker.
Solution:
Let i be the number of buckets of ice cream and y be the number of buckets of frozen yogurt.
According to the question, total amount spend on both must be greater than or equal to $100 to get a free ice cream maker.
![7.28i+8.21y\geq 100](https://tex.z-dn.net/?f=7.28i%2B8.21y%5Cgeq%20100)
![8.21y\geq 100-7.28i](https://tex.z-dn.net/?f=8.21y%5Cgeq%20100-7.28i)
Divide both sides by 8.21.
![y\geq \dfrac{100-7.28i}{8.21}](https://tex.z-dn.net/?f=y%5Cgeq%20%5Cdfrac%7B100-7.28i%7D%7B8.21%7D)
Therefore, the required inequality is
.