To find the distance between her home and her latest position:
According to the question, the diagram is,
Consider the right triangle,
AB=120 km
BC=50 km
To find AC:
Using Pythagoras theorem,

Hence, the distance between the new position and her home is 130 km.
Step-by-step explanation:
8(b+1)=-3(2+b)
8b+8=-6-3b
8b +3b = -6-8
11b = -14
b = -14/11
Answer:
The answer to the question is;
The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.
Step-by-step explanation:
The mean of the distribution = 0.9 mg
The standard deviation of the sample = 0.1 mg
The size of the sample = 100
The mean of he sample = 0.89
The z score for sample mean is given by
where
X = Mean of the sample
μ = Mean of the population
σ = Standard deviation of the population
Therefore Z =
= -1
From the standard probabilities table we have the probability for a z value of -1.0 = 0.1587
Therefore the probability that the resulting sample mean will be less than 0.89 = 0.1587 That is the probability that the mean is will be less than 0.89 is 15.87 % probability.
The exponential function is given in the form

where a is the initial value and b is the multiplicative rate of change
So lets plug the first two values of the table in this function , we get
or

Now plug second

Divide equation 2 by equation 1

On simplifying we get

or

So the multiplicative rate of change of the function is
