Answer:
XY is a tangent
Step-by-step explanation:
Given
![XY = 12](https://tex.z-dn.net/?f=XY%20%3D%2012)
![WY = 20](https://tex.z-dn.net/?f=WY%20%3D%2020)
![WZ = 8](https://tex.z-dn.net/?f=WZ%20%3D%208)
Required
Is XY a tangent?
XY is a tangent if:
![WY^2 = XY^2 + WX^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%20WX%5E2)
Because XY should make a right angle at point X with the circle
Where
![WX = 2 * WZ](https://tex.z-dn.net/?f=WX%20%3D%202%20%2A%20WZ)
So, we have:
![WY^2 = XY^2 + WX^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%20WX%5E2)
![WY^2 = XY^2 + (2*WZ)^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%20%282%2AWZ%29%5E2)
![WY^2 = XY^2 + (2WZ)^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%20%282WZ%29%5E2)
![WY^2 = XY^2 + 4WZ^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%204WZ%5E2)
This gives:
![20^2 = 12^2 + 4*8^2](https://tex.z-dn.net/?f=20%5E2%20%3D%2012%5E2%20%2B%204%2A8%5E2)
![400 = 144 + 256](https://tex.z-dn.net/?f=400%20%3D%20144%20%2B%20256)
![400 = 400](https://tex.z-dn.net/?f=400%20%3D%20400)
<em>Yes, XY is a tangent</em>
Answer:
42+t
q×10 or Q(10)
x+4
1/2y
Step-by-step explanation:
there are 42 members and their combined total would be the answer
Q is the number of members now, 10 is what you need to times it by in order to get the original number of members
the sister is 4 years younger than her brother, therfor he must be 4+ older than her
half of Y would be 1/2Y
Answer:
7 units
Step-by-step explanation:
When you reflect a point (x, y) across the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign: it becomes (-x, y).
Thus, if a point A, say, (-7, 5) is seven units to the left of the y-axis, its reflection A' will be the same distance to the right, at (7,5).
In the image below, Point A is seven units to the left of the y-axis. Its reflection, Point A', is seven units to the right of the axis.
Answer:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
The margin of error is:
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
From this, we have that the margin of error, and also the width, is inversely proportional to the sample size, that is, a larger sample size leads to a smaller margin of error and a narrower interval.
How would the width of the new confidence interval compare to the width of the confidence interval based on the 327 women in the armed forces?
New interval: 784
Old interval: 327
Sample size increased, so the new interval will be narrower, and the correct answer is:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
Answer:
C and $320.45
Step-by-step explanation:
I think it's C because this is the full function :
![b = 26 \times d + 3.5 \times 13 + 14.95](https://tex.z-dn.net/?f=b%20%3D%2026%20%5Ctimes%20d%20%2B%203.5%20%5Ctimes%2013%20%2B%2014.95)
And to get the b part of the question i just put the number in
![b = 26 \times 10 + 3.5 \times 13 + 14.95 = 320.45](https://tex.z-dn.net/?f=b%20%3D%2026%20%5Ctimes%2010%20%2B%203.5%20%5Ctimes%2013%20%2B%2014.95%20%3D%20320.45)
I'm not a 100% sure, sorry if it's wrong