Answer:
a) 9%
, not unusual
b) 42.4%
c) 48.4%
d) 11.1%
, 44.4%
, 44.4%
Step-by-step explanation:
We have the following information from the statement:
n = 12
r = 4
a)
P (likebothofthem) = P (likefirstsong) * P (likesecondsong)
P = 4/12 * 3/11
P = 0.09 = 9%
The probability is not unusual, unusual is considered less than 0.05 or 5%
b)
P (likeneither) = P (notlikefirstsong) * P (notlikesecondsong)
P = 8/12 * 7/11
P = 0.424 = 42.4%
c) P (likeexactlyoneofthem) = P (firstsongliked) * P (secondsongnotliked) + P (firstsongnotliked) * P (secondsongliked)
P = (4/12 * 8/11) + (8/12 * 4/11)
P = 0.484 = 48.4%
d)
a)
P (likebothofthem) = P (likefirstsong) * P (likesecondsong)
P = 4/12 * 4/12
P = 0.111 = 11.1%
The probability is not unusual, unusual is considered less than 0.05 or 5%
b)
P (likeneither) = P (notlikefirstsong) * P (notlikesecondsong)
P = 8/12 * 8/12
P = 0.444 = 44.4%
c) P (likeexactlyoneofthem) = P (firstsongliked) * P (secondsongnotliked) + P (firstsongnotliked) * P (secondsongliked)
P = (4/12 * 8/12) + (8/12 * 4/12)
P = 0.444 = 44.4%
Step-by-step explanation:
the answer is 14
3/7 • 2 1/14
=14
Answer:
40°
Step-by-step explanation:
Answer:
Y values will stay the same
Step-by-step explanation:
Reflecting over the Y axis will alter the distance left and right but not up and down. so only Y remains unchanged
that's the answer
Step-by-step explanation:
![slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{3 - - 5}{ - 9 - - 3} = \frac{8}{ - 6} \\ \frac{y - 3}{x - - 9} = \frac{8}{ - 6} \\ - 6(y - 3) = 8(x - - 9) \\ - 6y + 18 = 8x + 72 \\ - 6y = 8x + 72 -18 \\ - 6y = 8x + 54 \\ \frac{ - 6y}{ - 6} = \frac{8x}{ - 6} + \frac{54}{ - 6} \\ y = \frac{8x}{ - 6} - 9](https://tex.z-dn.net/?f=slope%20%3D%20%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20%20%5C%5C%20%3D%20%20%5Cfrac%7B3%20-%20%20-%205%7D%7B%20-%209%20-%20%20-%203%7D%20%3D%20%20%5Cfrac%7B8%7D%7B%20-%206%7D%20%5C%5C%20%20%5Cfrac%7By%20-%203%7D%7Bx%20-%20%20-%209%7D%20%3D%20%20%5Cfrac%7B8%7D%7B%20-%206%7D%20%20%5C%5C%20%20-%206%28y%20-%203%29%20%3D%208%28x%20-%20%20-%209%29%20%5C%5C%20%20-%206y%20%20%2B%2018%20%3D%208x%20%2B%2072%20%5C%5C%20%20-%206y%20%3D%208x%20%2B%2072%20-18%20%5C%5C%20%20-%206y%20%3D%208x%20%2B%2054%20%5C%5C%20%20%5Cfrac%7B%20-%206y%7D%7B%20-%206%7D%20%3D%20%20%5Cfrac%7B8x%7D%7B%20-%206%7D%20%2B%20%20%5Cfrac%7B54%7D%7B%20-%206%7D%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B8x%7D%7B%20-%206%7D%20%20-%209%20%20%20%20%20%20%20)