Answer:
![3^{n}+3^{n-1}](https://tex.z-dn.net/?f=3%5E%7Bn%7D%2B3%5E%7Bn-1%7D)
Step-by-step explanation:
Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be ![x^n + yn](https://tex.z-dn.net/?f=x%5En%20%2B%20yn)
Because the sequence multiplies by 3 each time, The base number in that equation would be
.
So
of the equation would be:
.
Compare the 2 equations:
4, 12, 36
3, 9 ,27
The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is:
.
Combine these 2 equations together and you get:
.
If 15 is 1/4 of an hour then multiply 12 with 4. It’s 48, they can hang 48 sheets in an hour.
Answer:
![d = \frac{78.24 -66.25}{\sqrt{\frac{7^2 +7^2}{2}}}= 1.713](https://tex.z-dn.net/?f=%20d%20%3D%20%5Cfrac%7B78.24%20-66.25%7D%7B%5Csqrt%7B%5Cfrac%7B7%5E2%20%2B7%5E2%7D%7B2%7D%7D%7D%3D%201.713)
For the interpretation we consider a value for d small is is between 0-0.2, medium if is between 0.2-0.8 and large if is higher than 0.8.
And on this case 1.713>0.8 so we have a large effect size
This value of d=1.713 are telling to us that the two groups differ by 1.713 standard deviation and we will have a significant difference between the two means.
Step-by-step explanation:
Previous concepts
The Effect size is a "quantitative measure of the magnitude of the experimenter effect. "
The Cohen's d effect size is given by the following formula:
![d = \frac{\bar X_1 -\bar X_2}{\sqrt{\frac{s^2_1 +s^2_2}{2}}}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Cfrac%7B%5Cbar%20X_1%20-%5Cbar%20X_2%7D%7B%5Csqrt%7B%5Cfrac%7Bs%5E2_1%20%2Bs%5E2_2%7D%7B2%7D%7D%7D)
Solution to the problem
And for this case we can assume:
the mean for females
the mean for males
represent the deviations for both groups
And if we replace we got:
![d = \frac{78.24 -66.25}{\sqrt{\frac{7^2 +7^2}{2}}}= 1.713](https://tex.z-dn.net/?f=%20d%20%3D%20%5Cfrac%7B78.24%20-66.25%7D%7B%5Csqrt%7B%5Cfrac%7B7%5E2%20%2B7%5E2%7D%7B2%7D%7D%7D%3D%201.713)
For the interpretation we consider a value for d small is is between 0-0.2, medium if is between 0.2-0.8 and large if is higher than 0.8.
And on this case 1.713>0.8 so we have a large effect size
This value of d=1.713 are telling to us that the two groups differ by 1.713 standard deviation and we will have a significant difference between the two means.
2x^2 + 4x + 1 = 0
2x^2 + 4x + 1 - 1 = 0 - 1
2x^2 + 4x = -1
X(2x + 4) = -1
X = -1.
2x + 4 = -1
2x + 4 - 4 = -1 - 4
2x = -5
2x/2 = -5/2
X = -5/2.
I believe these are the solutions. If not you can use the quadratic formula to solve for the roots, solutions.
Answer: 12 for the main square
Step-by-step explanation:
take the 4 and the 3 and multiply it, makes 12. you see how each stair is 6 inches and there is 3 full steps which makes it 1.50 feet. 12 x 1.50 is 18. that makes your main square. I'm sorry but I cant really help you with the steps but that was also confusing to me.