Rate of change, or slope, or rise over run, or ‘m’ is the difference between a pair of y-coordinates over the difference between a pair of x-coordinates.
The formula for rate of change or slope is:
m=(y2-y1) / (x2-x1)
All we have to do is take two pairs of coordinates from the table and solve for the slope (m).
Let’s just choose the first two coordinates: (1, 5) and (2, 5).
m=(5-5) / (2-1)
m=(0)/(1)
m=0
So, the rate of change is 0; there is no rate of change. There is 0 rise per 1 unit of run.
Given that there will be 14 fires in a year, there will be an expected number of fires. There are more than 1000 points available in this question. We must determine the probability that a woman owned.
In a year, a fire will harm one in 12 homes. That is, given if n is equal to 12 and that the value of x is equal to 1, the probability of x being equal to 1 is also equal to 1. Hence, due to fire damage. We discovered that the probability value p equals 0.014, and we are aware that, in general, binomial probability, or the probability that x equals x, is equal to c x, p to the power of x times q to the power of n minus x. Substituting all of these values into the formula, where q = 1 - p, gives us the value of 12 c 1, or 0.014. The total power of 1 for q is 1 minus p, or 1 minus 0.014. 11 points is the power of 12 as a whole less 1. The result of simplification is 0.143865, so Therefore, we have determined that the likelihood of one out of every twelve homes experiencing fire damage is 0.143865 percent.
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Answer:
the explicit formula for the geometric sequence 2,6,18,54 is 
2,6,18,54
Step-by-step explanation:
In the sequence given: 2,6,18,54
The common ration is 3 because
a₁ = 2
a₂= 2*3 =6
a₃ = (2*3)*3 = 2*3^2 = 18
a₄= (2*3*3)*3 =2*3^3 = 54
Here we see for a₂ 3 has power 1, for a₃ 3 has power 2 and so on.
So, the formula will be
Here aₙ is the no of term.
a₁ is the first term of the sequence
and r is the common ratio among the sequence.
Answer:
10/10
Step-by-step explanation:
To answer this you will use the formula V = pi x radius ^2 x height. The substitution for this would be 3.14 x 4^2 x 8. The approximate answer is 401.92 cubic units. 3.14 is an approximation of pi.
Note: It does not say that x is the height, but this is the only piece of information missing without an obvious label, so I am using it as the height.
