Answer:
aaaaasssdfghhjjkllllllqqqwwweerrrtyuiioppppZxcvbnmdffghjjklqqwertyukl;sdfghj
Step-by-step explanation:
Answer: 14
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Explanation:
Using the intersecting chord theorem, we can say,
AP*PB = CP*PD
(x+2)*6 = 7*x
6x+12 = 7x
6x+12-6x = 7x-6x
12 = x
x = 12
If x = 12, then,
AP = x+2
AP = 12+2
AP = 14
Refer to the diagram shown below.
Assume that approximately all the data is contained under the probability distribution curve within 3 standard deviations from the mean. It is actually 99.7%.
Therefore,
bin #1 corresponds to μ-3σ,
bin #11 corresponds to μ,
bin #21 corresponds to μ + 3σ.
Let x be the random variable for bin 17.
Then by interpolation,
![\frac{x-\mu}{(\mu + 3\sigma )-\mu} = \frac{17-11}{21-11} \\\\ x-\mu = 1.8\sigma](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx-%5Cmu%7D%7B%28%5Cmu%20%2B%203%5Csigma%20%29-%5Cmu%7D%20%3D%20%5Cfrac%7B17-11%7D%7B21-11%7D%20%5C%5C%5C%5C%20x-%5Cmu%20%3D%201.8%5Csigma)
The z-score for x is
![z= \frac{x-\mu}{\sigma} = \frac{1.8\sigma}{\sigma} =1.8](https://tex.z-dn.net/?f=z%3D%20%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%20%3D%20%5Cfrac%7B1.8%5Csigma%7D%7B%5Csigma%7D%20%3D1.8)
The probability corresponding to bin #17 is (from standard tables)
P(z≤1.8) = 0.964
Therefore if there are 1000 balls, the sum of the balls in bins 1 to 17 is
0.964 * 1000 = 96.4 ≠ 96 balls.
Answer: 96 balls
Answer:
k < -4 or k > 13
Step-by-step explanation:
Let's take a look at the graph, we can see that the arrows point towards both directions, both dots are open, meaning that we can only have < and > signs. We can see that the arrow pointing to the left contains numbers that are less than -4, so that part of the compound inequality must be k < -4. And on the other side, they are numbers that are greater than 13, so that part must be k > 13. Thus, the answer must be d.
Hopes this helps.