<span>Residual value is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) in a data set.
i.e. Residual value = given value - predicted value
From the table, the residual value corresponding to a has 4.1 as the given value and 4.5 as the predicted value.
Therefore, a = 4.1 - 4.5 = -0.4
Similarly, </span><span>the residual value corresponding to b has 7.2 as the given value and 7.05 as the predicted value.
Therefore, b = 7.2 - 7.05 = 0.15
</span>
Therefore, a = -0.4 and b = 0.15
Bernardo and Ogechi were asked to find an explicit formula for the sequence 1\,,\,8\,,\,64\,,\,512,...1,8,64,512,...1, comma, 8,
MatroZZZ [7]
Answer:
will be the correct formula for the given sequence.
Step-by-step explanation:
The given sequence is 1, 8, 64, 512...........
The given sequence is a geometric sequence having a common ratio (r) of
r = 
r = 
Since explicit formula of a geometric sequence is given by

where
= nth term of the sequence
a = first term of the sequence
r = common ratio of the successive term to the previous term
Now we plug values of a and r in the formula to get the explicit formula for the given sequence.

Therefore, if Bernardo is saying that the formula of the sequence is
h(n) =
then he is correct.
Answer:
A) 66 inches
B) 3.5 inches
C) 38 inches
D) 3 inches
Step-by-step explanation:
A)
If the height of the 36-month-old boy is 36 inches, we just need to use the value of x = 36 in the equation, and then find the value of y:
y = 3.5 * 36 - 60 = 66 inches
B)
As the slope of the equation is 3.5, an increase of 1 in the value of x causes a increase of 3.5 in the value of y, so the answer is 3.5 inches.
C)
We just need to use y = 73 and then find x:
73 = 3.5x - 60
3.5x = 133
x = 38 inches
D)
If the increase in y was 10.5, we just need to divide this value by the slope to find the increase in x:
dx = dy/3.5 = 10.5/3.5 = 3 inches
Answer:
The expression used to represent g(x) as inverse of f(x) is 
Option B is correct.
Step-by-step explanation:
We are given:

We need to find the expression that could be used to verify g(x) is the inverse of f(x).
We know that
is inverse of function
So placing value of f(x) in g(x)

So, the expression used to represent g(x) as inverse of f(x) is 
Option B is correct.
We can also solve to prove that 

Answer:
0.0498 = 4.98%
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute.
Each minute has 60 seconds.
So a rate of 1 inquire each 4 seconds.
The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately
Mean of 1 inquire each 4 seconds, so for 12 seconds 
This probability is P(X = 0).

