Which equation represents the general form of a circle with a center at (-2,-3) and a diameter of 8 units
2 answers:
Answer:
Equation of circle is (x + 2) ²+ ( y + 3)² = 4².
Step-by-step explanation:
Given : a circle with a center at (-2,-3) and a diameter of 8 units.
To find : Which equation represents the general form of a circle .
Solution : We have given center at (-2,-3) and a diameter of 8 units.
Radius = .
Radius = .
Radius = 4 units.
Standard form of circle is (x -h) ²+ ( y -k)² = r².
Where, ( h, k) is center , r = radius .
Plug center ( -2 ,-3) and r = 4 .
(x - (-2)) ²+ ( y - (-3))² = 4².
(x + 2) ²+ ( y + 3)² = 4².
Therefore, Equation of circle is (x + 2) ²+ ( y + 3)² = 4².
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Assuming ya mean
take derivitive
remember dy/dx e^x=e^x
also the chain rule
so
find where it equals 0
multiply both sides by e^x
divide both sides by 8
take ln of both sides
divide both sides by 9
x≈-1/5
f'(-1)<0
f'(0)>0
so it is increasing from x to infinity
the interval it is increasing on is
take derivitive
remember dy/dx e^x=e^x
also the chain rule
so
find where it equals 0
multiply both sides by e^x
divide both sides by 8
take ln of both sides
divide both sides by 9
x≈-1/5
f'(-1)<0
f'(0)>0
so it is increasing from x to infinity
the interval it is increasing on is
Answer:
By the Central Limit Theorem, the mean of the sampling distribution of sample means would be 5.4 years.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The mean for the entire population is 5.4 years.
So, by the Central Limit Theorem, the mean of the sampling distribution of sample means would be 5.4 years.