Answer: 0.195
Step-by-step explanation:
given data:
population = 2000 people.
people Who are over 6 feet tall = 389.
Solution:
the point estimate of people over 6feet tall
= no of people over 6 feet tall / total population size
= 389/2000
= 0.195
the point estimate of people over 6 feet tall is 0.195
A function is a expression that defines a relationship between one variable and another variable
Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.
Step-by-step explanation:
The equation of a circle in the center-radius form is:
(1)
Where
are the coordinates of the center and
is the radius.
Now, we are given the equation of this circle as follows:
(2)
And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:
(3)
Rearranging the equation:
(4)
(5)
Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of
:
<u>For the first parenthesis:</u>

We can rewrite this as:

Hence in this case
and
:

<u>For the second parenthesis:</u>

We can rewrite this as:

Hence in this case
and
:

Then, equation (5) is rewritten as follows:
(6)
<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>
Rearranging:
(7)
At this point we have the circle equation in the center radius form 
Hence:



The probability that the market will go up and interest rate will go down during the period in question is 0.03.
<h3>What is the probability?</h3>
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the market will go up and interest rate will go down = 0.08 X 0.40 = 0.03
To learn more about probability, please check: brainly.com/question/13234031
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