Answer:
(x +1)^2 +(y +0.5)^2 = 22.25
Step-by-step explanation:
The center of the circle is the midpoint of the diameter, so is ...
(h, k) = ((-5, -3) +(3, 2))/2 = (-5+3, -3+2)/2 = (-1, -1/2)
The circle formula is then ...
(x -h)^2 +(y -k)^2 = r^2
(x -(-1))^2 +(y -(-1/2))^2 = r^2
We can find r^2 by substituting one of the points for (x, y).
(3 +1)^2 +(2 +1/2)^2 = r^2 = 16 +6.25 = 22.25
Then the circle equation is ...
(x +1)^2 +(y +0.5)^2 = 22.25
Answer:
cylinder surface area = 201.06in²
surface area of cone = 56.56in.²
Step-by-step explanation:
cylinder surface area formula = 2πrh + 2πr²
refer the pic
cone surface area formula = πr ( r + √h² + r² )
refer the sec pic
surface area of the solid
= ( 201.06 + 56.56 ) in.²
= 257.62in.²
= 258in.²
Answer:
Null Hypothesis, : p
45%
Alternate Hypothesis, : p < 45%
Step-by-step explanation:
We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.
The collected random sample of size 50 showed that only 18 were women.
<u><em>Let p = proportion of women in similar sales positions across the country in 2004</em></u>
So, Null Hypothesis, : p
45%
Alternate Hypothesis, : p < 45%
Here, <u><em>null hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.
On the other hand, <u><em>alternate hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is less than 45%.
The test statistics that would be used here is One-sample z proportion test statistics, i.e;
T.S. = ~ N(0,1)
Hence, the above hypothesis is appropriate for the given situation.