Answer:
85%
Step-by-step explanation:
Convert fraction (ratio) 170 / 200 Answer: 85%
Answer:
From inspection of the diagram, we can see that the spinner is divided into <u>4 equal parts</u>, where 3 parts are red and 1 part is yellow.
![\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}](https://tex.z-dn.net/?f=%5Csf%20Probability%5C%3Aof%5C%3Aan%5C%3Aevent%5C%3Aoccurring%20%3D%20%5Cdfrac%7BNumber%5C%3Aof%5C%3Aways%5C%3Ait%5C%3Acan%5C%3Aoccur%7D%7BTotal%5C%3Anumber%5C%3Aof%5C%3Apossible%5C%3Aoutcomes%7D)
Therefore,
![\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%7BProbability%20of%20getting%20a%20red%7D%20%3D%20%5Csf%20%5Cdfrac%7B3%7D%7B4%7D)
![\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%7BProbability%20of%20getting%20a%20yellow%7D%20%3D%20%5Csf%20%5Cdfrac%7B1%7D%7B4%7D)
<u>Multiplication Rule for Independent Events</u>
For independent events A and B:
Therefore,
![\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20%5Csf%20P%28yellow%5C%3Aand%5C%3Ayellow%29%20%26%20%3D%20%5Csf%20P%28yellow%29%20%5Ctimes%20P%28yellow%29%5C%5C%5C%5C%20%26%20%3D%20%5Csf%20%5Cdfrac%7B1%7D%7B4%7D%20%5Ctimes%20%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5C%20%26%20%3D%20%5Csf%20%5Cdfrac%7B1%7D%7B16%7D%5Cend%7Baligned%7D)
<h3><u>Conclusion</u></h3>
Ari is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.
Hi there!
Let's solve this equation step by step!
![|x| - 7 = 6](https://tex.z-dn.net/?f=%20%7Cx%7C%20%20-%207%20%3D%206)
First add 7 to both sides.
![|x| = 13](https://tex.z-dn.net/?f=%20%7Cx%7C%20%20%3D%2013)
Next we need to take a look at the meaning of the stripes between our variable. Those stripes mean we are dealing with an absolute value function. The absolute value stripes make everything between the stripes positive; also when we plug in a number. In this particular question we can plug in both -13 and 13 at the position of n, because when -13 is made positive, it fulfils the equation.
Hence,
![x= 13](https://tex.z-dn.net/?f=x%3D%2013)
or
![x = - 13](https://tex.z-dn.net/?f=x%20%3D%20-%2013)
~ Hope this helps you!
Answer:
C) 366 days
Step-by-step explanation:
Capital gains taxes are classified into:
- Short term capital gains which are taxed at the same marginal tax rate than ordinary income. Any investment held for one year or less is subject to short term capital gains.
- Long term capital gains which are taxed at a generally lower tax rate, e.g. 0 - 15% - 20%. An investment must be held for more than one year to be considered a long term capital gain.