Answer:
The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A
Step-by-step explanation:
The form of the equation of the circle is (x - h)² + (y - k)² = r², where
- r is the radius of the circle
- h, k are the coordinates of the center of the circle
Let us solve the question
∵ The center of the circle is at (2, -5)
→ From the rule above
∴ h = 2 and k = -5
∵ The radius of the circle is 12
∴ r = 12
→ Substitute the values of r, h, and k in the form of the equation above
∵ (x - 2)² + (y - -5)² = (12)²
∴ (x - 2)² + (y + 5)² = 144
∴ The equation of the circle is (x - 2)² + (y + 5)² = 144
Answer:
I think it is 249 not sure bc i dont know the multiple answers choices
Step-by-step explanation:
Get all the n together so 3n+2n=5n
5n-17=38
Minus 17 from both sides
5n= 55
N= 11
Using the z-distribution, it is found that she should take a sample of 46 students.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
The margin of error is:
In which:
is the sample mean.
is the standard deviation for the population.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:
The sample size is n when M = 29, hence:
n = 45.67.
Rounding up, a sample of 46 students should be taken.
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ1
Answer:
1.→n=15
2.→n=0
Step-by-step explanation:
The two expressions given are
⇒A number is said to be rational if it can be expressed in the form of , where ,q≠0.And it's decimal expansion will be either terminating or non terminating repeating.
We have to find smallest value of n, for which each of these two expressions will be rational.
So, 1.→n=15
and 2.→n=0
Have a nice day! -Alpha
Step-by-step explanation: ;)
