Answer:
12/35
Step-by-step explanation:
Multiply it
Answer:
0.6804
Step-by-step explanation:
Given that Margie is practicing for an upcoming tennis tournament. Her first serve is good 20 out of 30 times on average.
Since each trial is independent and there are two outcomes, X no of good serves is binomial with n=6 and p =2/3
Required probability
= Prob that atleast four of 6 times good serve
=![P(X\geq 4)](https://tex.z-dn.net/?f=P%28X%5Cgeq%204%29)
=![P(x=4,5 or 6)\\=1-F(3)\\=0.6804](https://tex.z-dn.net/?f=P%28x%3D4%2C5%20or%206%29%5C%5C%3D1-F%283%29%5C%5C%3D0.6804)
Formula used:
P(X=r) =![6Cr (\frac{2}{3}^r )(\frac{1}{3}^{6-r} )](https://tex.z-dn.net/?f=6Cr%20%28%5Cfrac%7B2%7D%7B3%7D%5Er%20%29%28%5Cfrac%7B1%7D%7B3%7D%5E%7B6-r%7D%20%20%29)
Step-by-step explanation:
![{x}^{2} + 2x - 15 \\ = (x - 3)(x + 5)](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%20%2B%202x%20-%2015%20%5C%5C%20%20%3D%20%28x%20-%203%29%28x%20%2B%205%29)
then:
![4 {x}^{2} - 36 \\ = 4( {x}^{2} - 9) \\ = 4(x - 3)(x + 3)](https://tex.z-dn.net/?f=4%20%7Bx%7D%5E%7B2%7D%20%20-%2036%20%5C%5C%20%20%3D%204%28%20%7Bx%7D%5E%7B2%7D%20%20-%209%29%20%5C%5C%20%20%3D%204%28x%20-%203%29%28x%20%2B%203%29)
then pack them up!
![4(x - 3)(x + 3)(x + 5)](https://tex.z-dn.net/?f=4%28x%20-%203%29%28x%20%2B%203%29%28x%20%2B%205%29)
tho there is a problem in your question.
lcm means the <em>least</em> common multiple.
answers in options are just <em>multiples</em>.
though considering that you shall choose:
![4(x + 5) {(x - 3)}^{2} (x + 3)](https://tex.z-dn.net/?f=4%28x%20%2B%205%29%20%7B%28x%20-%203%29%7D%5E%7B2%7D%20%28x%20%2B%203%29)
-5 -(-1) = -5+1= -4
and
-9 -(-5) = -9+5 = -4
we observe that the number are in AP
of the AP -
ist term = -1
common difference = -4
19th term = -1 + (19-1)(-4)= -1 -72 = -73
_________________________
the correct answer = B
Answer:
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Step-by-step explanation:
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