HELLO THERE!
(:
This is a problem that looks harder then it seems, First determine the cost of each item he is trying to buy. Then figure out the number of dollars he has to spend. Once you have figured that out you divide the cost into how much he has.
For example.
John has 10 dollars. He wants to buy pencils. Each pencil will cost john 2 Dollars. How many can he buy?
By dividing the cost of the pencils = 2 into the number of dollars he has 10 Divided by 2, we get 5.
Now it's your turn. Divide the number he has to spend by the price of the items. This will get you your answer!
Hope this helped!
Given:
Consider the given expression is
![(4x^3y^2)^{\frac{3}{10}}](https://tex.z-dn.net/?f=%284x%5E3y%5E2%29%5E%7B%5Cfrac%7B3%7D%7B10%7D%7D)
To find:
The radical form of given expression.
Solution:
We have,
![(4x^3y^2)^{\frac{3}{10}}=(2^2)^{\frac{3}{10}}(x^3)^{\frac{3}{10}}(y^2)^{\frac{3}{10}}](https://tex.z-dn.net/?f=%284x%5E3y%5E2%29%5E%7B%5Cfrac%7B3%7D%7B10%7D%7D%3D%282%5E2%29%5E%7B%5Cfrac%7B3%7D%7B10%7D%7D%28x%5E3%29%5E%7B%5Cfrac%7B3%7D%7B10%7D%7D%28y%5E2%29%5E%7B%5Cfrac%7B3%7D%7B10%7D%7D)
![(4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{6}{10}}(x)^{\frac{9}{10}}(y)^{\frac{6}{10}}](https://tex.z-dn.net/?f=%284x%5E3y%5E2%29%5E%7B%5Cfrac%7B3%7D%7B10%7D%7D%3D%282%29%5E%7B%5Cfrac%7B6%7D%7B10%7D%7D%28x%29%5E%7B%5Cfrac%7B9%7D%7B10%7D%7D%28y%29%5E%7B%5Cfrac%7B6%7D%7B10%7D%7D)
![(4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{3}{5}}(x)^{\frac{9}{10}}(y)^{\frac{3}{5}}](https://tex.z-dn.net/?f=%284x%5E3y%5E2%29%5E%7B%5Cfrac%7B3%7D%7B10%7D%7D%3D%282%29%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%28x%29%5E%7B%5Cfrac%7B9%7D%7B10%7D%7D%28y%29%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D)
![[\because x^{\frac{1}{n}}=\sqrt[n]{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%7D%5D)
![[\because x^{\frac{1}{n}}=\sqrt[n]{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%7D%5D)
Therefore, the required radical form is
.
D -2, 4 is in the second quadrant because the -x brings it to the left side and the positive 4 puts it in the upper of the left side which is the second quadrant
This In Expression Form Is:
3r + 4t.
The Reason Why Is Because:
When You Triple r, That Is 3r, And When You Quadruple t, It becomes 4t. And Plus Means to Add. So, This Becomes 3r + 4t
I Hope this Helps!
Answer:
The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%
Step-by-step explanation:
Confidence interval for the proportion of people who own a tablet:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
For this problem, we have that:
![n = 150, \pi = \frac{120}{150} = 0.8](https://tex.z-dn.net/?f=n%20%3D%20150%2C%20%5Cpi%20%3D%20%5Cfrac%7B120%7D%7B150%7D%20%3D%200.8)
99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.7159](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.8%20-%202.575%5Csqrt%7B%5Cfrac%7B0.8%2A0.2%7D%7B150%7D%7D%20%3D%200.7159)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.8841](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.8%20%2B%202.575%5Csqrt%7B%5Cfrac%7B0.8%2A0.2%7D%7B150%7D%7D%20%3D%200.8841)
Percentage:
Multiply the proportion by 100.
0.7159*100 = 71.59%
0.8841*100 = 88.41%
The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%