Answer:
2/9
Step-by-step explanation:
2 + 7 = 9
There are two Indian stamps, and the total is 9 stamps.
Answer:
((6 choose 4) * (5 choose 2) + (6 choose 5) * (5 choose 1) + (6 choose 6) * (5 choose 0)) / (11 choose 6) = 181/462 = 0.3918
Using translation concepts, the graph of g(x) = 3x² + 1 is given at the end of the answer.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that the parent function is:
f(x) = x².
The shifted function is:
g(x) = 3x² + 1.
The transformations are given as follows:
- It was vertically compressed by a factor of 3, due to the multiplication by 3.
- It was shifted up 1 unit, due to the addition of 1.
In the graph at the end of the answer, both functions are shown, with <u>f(x) in red and g(x) in blue</u>.
More can be learned about translation concepts at brainly.com/question/28393734
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Answer: 0.28157
Step-by-step explanation:
Given, The proportion of the community favored building a police substation in their neighborhood: p= 0.75
Number of citizens are chosen: n= 10
Let x be the binomial variable that represents the number of citizens favor the building of the police substation.
Then, the probability that exactly 8 of them favor the building of the police substation will be :

[Using binomial probability function
]

Hence, the probability that exactly 8 of them favor the building of the police substation =0.28157
Answer:
The slope would be -3/7
Step-by-step explanation
To get the numerator of the slope, you would do -2 minus 1 to get -3. Then to get the denominator, you would do 4 minus -3 to get 7. That would leave you with a final answer of -3/7 as your slope.