Answer:
(x-2)^2 +(y+3)^2 = 16
Step-by-step explanation:
The equation of a circle can be written as
(x-h)^2 +(y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-2)^2 +(y- -3)^2 = 4^2
(x-2)^2 +(y+3)^2 = 16
Answer:
112/125
Step-by-step explanation:
If we know all 25 are in at least one foreign language class then we can assume that exactly 4 of the 18 kids in French only take French to add up to 25 and this means that the 14 left take both classes. Now we can create three fractions for each case which are 7/25 (Spanish only) 4/25 (French only) and 14/25 (Both) and we can know say that if he goes down the route of getting a Spanish only as his first he needs one of the 18 other students the chances of this happening are 7/25 * 18/25 = 126/625 the same thing is done with the French only and we get 4/25 * 21/25 = 84/625 and then we have the possibility of just getting a student that does both which is 14/25 or 350/625. now we add them all together to get 560/625 which is simplified to 112/125.
Hope this helps please mark brainliest :)
Answer:
Option B
Step-by-step explanation:
Since the company that Carrie out the survey after the students also arrived at the same conclusion as the student which is: no evidence that preference for brand A is not 0.5. We can say that she did not make any error which could be a type 1 or 2 error and found that the actual value was 0.5 which is the null hypothesis
Null hypothesis: u = 0.5 for brand A
and thus fails to reject the null hypothesis.
Answer:
The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Step-by-step explanation:
The complete question is:
The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.
Solution:
The (1 - <em>α</em>)% confidence interval for population mean is:
The margin of error for this interval is:
The critical value of <em>z</em> for 90% confidence level is:
<em>z</em> = 1.645
Compute the required sample size as follows:
Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Answer:
$0.30 x b
$10.20
Step-by-step explanation:
The equation is
$0.30 x b
Since we know JoAnn uses 34 beads, we can replace b with 34
$0.30 x 34 = $10.20