Answer: Since it is not a perfect square my answer is the square root of 261 or 16.16 which is rounded to the nearest hundredth.
Step-by-step explanation:
10^2 + b^2 = 19^2
100 + b^2 = 361
-100 -100
b^2 = 261
b= ![\sqrt{261}](https://tex.z-dn.net/?f=%5Csqrt%7B261%7D)
Answer:
![y = \frac{3}{5} + x](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B5%7D%20%2B%20x)
Step-by-step explanation:
Given
Represent Mai's distance as x and Clare's distance as y
![Mai = x\ miles](https://tex.z-dn.net/?f=Mai%20%3D%20x%5C%20miles)
farther than Mai
Required
Determine the relationship between both
farther than Mai
Substitute x for Mai
farther than x
Express as a mathematical expression:
![C = \frac{3}{5} + x](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B3%7D%7B5%7D%20%2B%20x)
Recall that Clare's distance is represented by y.
So, we have:
![y = \frac{3}{5} + x](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B5%7D%20%2B%20x)
Hence, the relationship is: ![y = \frac{3}{5} + x](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B5%7D%20%2B%20x)
Answer:
What ?!
Step-by-step explanation:
Muning ? what is this muning ?
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
n = 1200
x = 32% of 1200
So, ![\hat{p}=32\5=0.32](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D32%5C5%3D0.32)
We need to find 95% confidence interval.
so, z = 1.96
So, margin of error would be
![z\times \sqrt{\dfrac{p(1-p)}{n}}\\\\=1.96\times \sqrt{\dfrac{0.32\times 0.68}{1200}}\\\\=1.96\times 0.0135=](https://tex.z-dn.net/?f=z%5Ctimes%20%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%5C%5C%5C%5C%3D1.96%5Ctimes%20%5Csqrt%7B%5Cdfrac%7B0.32%5Ctimes%200.68%7D%7B1200%7D%7D%5C%5C%5C%5C%3D1.96%5Ctimes%200.0135%3D)
So, Interval would be
![\hat{p}\pm \text{margin of error}}\\\\=0.32\pm 0.0263\\\\=(0.32-0.0263,0.32+0.0263)\\\\=(0.2937,0.3463)\\\\=(0.294,0.346)\\\\=(29.4\%,34.6\%)](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20%5Ctext%7Bmargin%20of%20error%7D%7D%5C%5C%5C%5C%3D0.32%5Cpm%200.0263%5C%5C%5C%5C%3D%280.32-0.0263%2C0.32%2B0.0263%29%5C%5C%5C%5C%3D%280.2937%2C0.3463%29%5C%5C%5C%5C%3D%280.294%2C0.346%29%5C%5C%5C%5C%3D%2829.4%5C%25%2C34.6%5C%25%29)
Hence, Option 'c' is correct.
Answer: 1,679,616 different outcomes
(a little over 1.6 million)
To get this answer, you multiply eight copies of "6"
which can be written in shorthand as exponential notation
6^8 = 6*6*6*6 * 6*6*6*6 = 1,679,616
A smaller similar example is if you roll 2 dice making you have 6^2 = 6*6 = 36 different outcomes. All of the 36 outcomes can be represented in a table that has 6 rows and 6 columns.