First, rewrite the equation in standard form.
The center-radius form of the circle equation<span> is in the format:
(x – h)^</span>2<span> + (y – k)^</span>2<span> = r^</span>2
<span>with the center being at the </span>point<span> (h, k) and the radius being "r".
</span>
(x-3)^2 + (y+4)^2 = 81
From here, you can determine the center and radius. The center is at (3,-4) and the radius is 9.
The person would have scored 39 out of 50. Hope this helps
You would do 2x-3+x+3x-15=360
combine like terms which then gives you
5x-18=360 then you would add 18 to both sides giving you
5x=378
and then you divide by 5 on both sides which will then give you your answer x=?
Answer: The required number of boys in the class is 18.
Step-by-step explanation: Given that in math class, the girl to boy ratio is 8 to 6 and there are 24 girls in the class.
We are to find the number of boys in the class.
Let 8x and 6x represents the number of girls and boys in the class.
Then, according to the given information, we have

Therefore, the number of boys in the class is given by

Thus, the required number of boys in the class is 18.
Answer:
Answer for the question :
A resercher is wondering whehter the drinking habits of adults in a certain region of the country are in the same proportion as the general population of adults. Suppose a recent study stated that the proportion of adults who reported drinking once a week or less in the last month was 0.26. The researcher's null hypothesis for this test is H0: P=0.26 and the alternative hypothesis is Ha; P> 0.26. The researcher collected datat from a random sample of 75 adults in the region of interest.
1- Verify that the normality assumption is satisfied. Describe each separately.
2- To cotinue the study into the drinking habits of adults, the researcher decides to collect datat from adults working in "blue collar" jobs to see whether their drinking habits are in the same proportion as the general public. The null hypothesis for this test is H0: P=0.26 and the alternative hypothesis is Ha: P>0.26. The researcher computer the test statistic to be 1.59. Draw a graph of z distribution, label the test statistic and shade the p-value associated with this test statistic."
is given in the attachment.
Step-by-step explanation: