There are 4 cats, 2 dogs and 1 goldfish for a total of 7 animals. These animals should be distributed to each of Mr. Smith's children. But we must note of the restrictions.
This is the solution for the problem:
2(7C6) + 2(7C4) + 3(7C1)
How is this so? The first term stand for Anna and Betty, hence, 2. Each of them must choose 6 out of the 7 animals (except for goldfish). That's why it's written as '7C6' which is combination of 6 out of 7. It stands for nCr, or 'r' objects out of 'n'. The equation for that is n!/[r!(n-r)!]. The second term is for Charlie and Danny who gets 4 cats out of the 7 animals. And lastly, the other 3 would get the three last pet available.
Solving the equation, the answer is 105 ways.
Answer:
D.) All the above answer choices are good characteristics of a summary.
Step-by-step explanation:
A summary is one-third of the original context. It gives the main idea of the writing. It includes all the most important and relevant supporting details. One can understand the whole story or text by reading the summary.
12x < 96 = x <96/12 = x = 8 . hope this helps :)
Answer:
Step-by-step explanation:
Given that the proportion of murders with firearm is 79.2 %
Each murder is independent and there are two outcomes either with fire arm or without fire arm.
Hence X no of murders with fire arm is binomial with n = 200 and p = 0.792
q=1-0.792 = 0.208
a) Expected value of x = np
b) P(X=173) = 0.002289
Since probability is very low it can be concluded it would be unusual to observe 173 murders by firearm in a random sample of 200 murders
Answer:
Step-by-step explanation:
Combine like terms:
-5.8c and +1.4c gives us -4.4c
+4.2 and -3.1 gives us 1.1
Put them together, and you have your expression.