Answer:
63.6 feet
Step-by-step explanation:
Answer:
x ≈ {0.653059729092, 3.75570086464}
Step-by-step explanation:
A graphing calculator can tell you the roots of ...
f(x) = ln(x) -1/(x -3)
are near 0.653 and 3.756. These values are sufficiently close that Newton's method iteration can find solutions to full calculator precision in a few iterations.
In the attachment, we use g(x) as the iteration function. Since its value is shown even as its argument is being typed, we can start typing with the graphical solution value, then simply copy the digits of the iterated value as they appear. After about 6 or 8 input digits, the output stops changing, so that is our solution.
Rounded to 6 decimal places, the solutions are {0.653060, 3.755701}.
_____
A similar method can be used on a calculator such as the TI-84. One function can be defined a.s f(x) is above. Another can be defined as g(x) is in the attachment, by making use of the calculator's derivative function. After the first g(0.653) value is found, for example, remaining iterations can be g(Ans) until the result stops changing,
6+4• (5-7)^2
(5-7)^2
-2^2
4
6+4+4
=14
Answer:
g = 36
Step-by-step explanation:
We have the equation
+ 7 =19
Subtract 7 from both sides:
= 19 - 7 = 12
= 12
Now, multiply by 3 to both sides: 3 ×
= 3 × 12
g = 36
Answer:
The probability that at least one of the children get the disease from their mother is P=0.7125.
Step-by-step explanation:
This can be modeled as a binomial random variable.
The parameter p=0.34 is the probability of a child being infected, and is constant and independent of the other events.
The parameter n=3 is the number of children (sample size).
Then, we have to calculate the probabilty that at least one of the children get the disease from their mother. That is:

The probability of exactly k children being infected can be calculated as:

Then, the easiest way to calculate this probability is using the complement: the value of the probability is 1 (or 100%) less the probability that no children gets infected.
