Answer: The radius of this circle is 0.5
Step-by-step explanation:
We have a circle that passes through the point (0, 0.5)
We do not know the center of the circle, so we have infinite possible radius to answer this, but let's suppose that the center of the circle is in the point (0, 0)
For a circle centered in the origin, we have the equation:
x^2 + y^2 = r^2
Where r is the radius.
Here we have that x = 0 and y = 0.5
then:
0^2 + (0.5)^2 = r^2
0.5^2 = r^2
r = 0.5
The radius of this circle is 0.5
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Answer with explanation</u>
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Let
be the population mean.
As per given , we have

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.
Also, population standard deviation is given
, so we perform one-tailed z-test.
Test statistic : 
, where
= Population mean
= Population standard deviation
n= sample size
= Sample mean
For n= 18 ,
,
,
, we have

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\
=1- 0.0340=0.9660
Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.
[We reject null hypothesis if p-value is larger than the significance level . ]
Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .
The answer is 9, to find it just do inverse and in this case that is 12-3 and u should always get the answer
4.5 cups to ounces is 36 fluid ounces.
Answer:
40
Step-by-step explanation:
Let n represent the integer. Then the increase can be written as ...
n + (-12) = 28
We can add 12 to both sides of this equation:
n + (-12) + (+12) = 28 +12
n + 0 = 40 . . . . . . -12 and 12 total to zero; 28 and 12 total to 40.
n = 40
The integer is 40.