B bsbdhdbhhdjddjdjdndhdhdhdgdggdhdhdhdhdhdhdhdhdhdhd
Answer:
37.5
Step-by-step explanation:
3/8
3 divided by 8= .0375
.0375 times 100= 37.5
There must be no chance that d and e will happen. If the two occurrences cannot coexist, we can infer that they are not independent.
<h3>What is probability?</h3>
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
<h3>What is the probability formula?</h3>
P(A) = n(A)/n(S)
Where P(A) is the likelihood that an event "A" will occur and n(A) is the number of positive outcomes. The total number of occurrences in the sample space is denoted by n(S).
We must have a similar probability for both events in order for them to be independent. Because of the table, we may test for independence by knowing the likelihood that e and d will occur. When we are told that occurrences d and e are mutually exclusive, the entire table of values becomes somewhat of a red herring. The chance of d given e and the probability of d given d are both equal to zero if two events are mutually incompatible. There must be no chance that d and e will happen. If the two occurrences cannot coexist, we can infer that they are not independent. There is a chance for it.
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The half life of a decaying substance is defined as the time at which the substance decreases to one-half of its original value. In this case, given hlf-life of 10 years and an original mass of 50 grams, after 10 years, the isotope mass becomes 50*0.5 or 25 grams. Answer is B.
Answer:
A.
miles
Step-by-step explanation:
Given two Cartesian coordinates
, the distance between the points is given as:
![d = \sqrt{((x_1-x_2)^2+(y_1-y_2)^2)}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%29%7D)
Converting to polar coordinates
![(x_1,y_1) = (r_1 cos \theta_1, r_1 sin \theta_1)\\(x_2,y_2) = (r_2 cos \theta_2, r_2 sin \theta_2)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%28r_1%20cos%20%5Ctheta_1%2C%20r_1%20sin%20%5Ctheta_1%29%5C%5C%28x_2%2Cy_2%29%20%3D%20%28r_2%20cos%20%5Ctheta_2%2C%20r_2%20sin%20%5Ctheta_2%29)
Substitution into the distance formula gives:
![\sqrt{((r_1 cos\theta_1-r_2 cos \theta_2)^2+(r_1 sin \theta_1-r_2 sin \theta_2)^2}\\=\sqrt{(r_1^2+r_2^2-2r_1r_2(cos \theta_1 cos \theta_2+sin\theta_1 sin \theta_2) }\\= \sqrt{r_1^2+r_2^2-2r_1r_2cos (\theta_1 -\theta_2)}](https://tex.z-dn.net/?f=%5Csqrt%7B%28%28r_1%20cos%5Ctheta_1-r_2%20cos%20%5Ctheta_2%29%5E2%2B%28r_1%20sin%20%5Ctheta_1-r_2%20sin%20%5Ctheta_2%29%5E2%7D%5C%5C%3D%5Csqrt%7B%28r_1%5E2%2Br_2%5E2-2r_1r_2%28cos%20%5Ctheta_1%20cos%20%5Ctheta_2%2Bsin%5Ctheta_1%20sin%20%5Ctheta_2%29%20%7D%5C%5C%3D%20%5Csqrt%7Br_1%5E2%2Br_2%5E2-2r_1r_2cos%20%28%5Ctheta_1%20-%5Ctheta_2%29%7D)
In the given problem,
![(r_1,\theta_1)=(8 mi, 63^0) \:and\: (r_2,\theta_2)=(8 mi, 123^0 ).](https://tex.z-dn.net/?f=%28r_1%2C%5Ctheta_1%29%3D%288%20mi%2C%2063%5E0%29%20%5C%3Aand%5C%3A%20%20%28r_2%2C%5Ctheta_2%29%3D%288%20mi%2C%20123%5E0%20%29.)
![Distance=\sqrt{8^2+8^2-2(8)(8)cos (63 -123)}\\=\sqrt{128-128cos (-60)}\\=\sqrt{64}=8 mile](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B8%5E2%2B8%5E2-2%288%29%288%29cos%20%2863%20-123%29%7D%5C%5C%3D%5Csqrt%7B128-128cos%20%28-60%29%7D%5C%5C%3D%5Csqrt%7B64%7D%3D8%20mile)
The closest option is A.
miles