Answer:
8
Step-by-step explanation:
![-(-1)^2+(3)^2=-1+9\\=8](https://tex.z-dn.net/?f=-%28-1%29%5E2%2B%283%29%5E2%3D-1%2B9%5C%5C%3D8)
<span>62.0 inches
The first thing to do is look at a Standard Normal Table to find out how many deviations we need to be from the norm to get 20%. Depending upon the table, you will either be looking for a value of 0.20 or 0.30. The 0.30 is simply 0.50 - 0.20. Use your common sense to determine which value to look for. For instance, in the Standard Normal Table I'm using, a z value of 0 gives me a probability of 0.00000 and a z-value of 4.0 gives me a probability of 0.49997. So I need to look for a probability of 0.30 which is a z-value of approximately 0.84.
Now multiply the z-value by the standard deviation. So
0.84 * 2.4 = 2.016
This value of 2.016 means that only 20% of the population are more than 2.016 inches shorter than the mean. So let's calculate that by subtracting that from the mean, giving:
64 - 2.016 = 61.984.
Rounding to 1 decimal place gives 62.0 inches.</span>
Answer:
- 1364
Step-by-step explanation:
The n th term of a geometric series is
= a![(r)^{n-1}](https://tex.z-dn.net/?f=%28r%29%5E%7Bn-1%7D)
where a is the first term and r the common ratio
4
← is an n th term
with a = 4 and r = - 2
The sum to n terms of a geometric series is
=
, thus
= ![\frac{4((-2)^{10}-1) }{-2-1}](https://tex.z-dn.net/?f=%5Cfrac%7B4%28%28-2%29%5E%7B10%7D-1%29%20%7D%7B-2-1%7D)
= ![\frac{4(1024-1)}{-2-1}](https://tex.z-dn.net/?f=%5Cfrac%7B4%281024-1%29%7D%7B-2-1%7D)
= ![\frac{4(1023)}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%281023%29%7D%7B-3%7D)
= ![\frac{4092}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B4092%7D%7B-3%7D)
= - 1364
Answer:
<1 and <3 are vertical angles and <2 and <4 are vertical angles
Step-by-step explanation:
<em>Hope this helps. pls mark me brainliest. :)</em>
Answer:
Base = 8 feet
Step-by-step explanation:
![area \: of \: \triangle = \frac{1}{2} \times base \times height \\ 16 = \frac{1}{2} \times base \times 4 \\ 16 = base \times 2 \\ base = \frac{16}{2} \\ base = 8 \: feet](https://tex.z-dn.net/?f=area%20%5C%3A%20of%20%5C%3A%20%20%5Ctriangle%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20base%20%5Ctimes%20height%20%5C%5C%2016%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20base%20%5Ctimes%204%20%5C%5C%2016%20%3D%20base%20%5Ctimes%202%20%5C%5C%20base%20%3D%20%20%5Cfrac%7B16%7D%7B2%7D%20%20%20%5C%5C%20base%20%3D%208%20%5C%3A%20feet)