Answer:
y=-7x+16
Step-by-step explanation:
y-y=m(x-x1)
y-2=-7(x-2)
y-2=-7x+14
+2 +2
y=-7x+16
Answer:
![x=34](https://tex.z-dn.net/?f=x%3D34)
Step-by-step explanation:
*it's kind of hard to read the number in parenthesis though but i think it's 5
both angles have to add up to 180º because they are co-exterior angles on parallel lines.
![2(x+5)+102=180\\2(x+5)=78\\2x+10=78\\2x=68\\x=34](https://tex.z-dn.net/?f=2%28x%2B5%29%2B102%3D180%5C%5C2%28x%2B5%29%3D78%5C%5C2x%2B10%3D78%5C%5C2x%3D68%5C%5Cx%3D34)
Answer:
x = 3
Step-by-step explanation:
MQ : MN = 5:6
MP : MO = 5:6
MQ/MN = 5/6
Hence, MP/MO = 5/6
(5+x)/(6+(18/5)) = 5/6
5+x = (5/6)(48/5)
5+x = 8
x = 3
Answer:
0.128
Step-by-step explanation:
We know the probability for any event X is given by,
,
where p is the probability of success and q is the probability of failure.
Here, we are given that p = 0.533.
Since, we have that q = 1 - p
i.e. q = 1 - 0.533
i.e. q = 0.467
It is required to find the probability of 4 wins in the next 5 games i.e. P(X=4) when n = 5.
Substituting the values in the above formula, we get,
![P(X=4)=\binom{5}{4}\times 0.533^{5-4}\times 0.467^{4}](https://tex.z-dn.net/?f=P%28X%3D4%29%3D%5Cbinom%7B5%7D%7B4%7D%5Ctimes%200.533%5E%7B5-4%7D%5Ctimes%200.467%5E%7B4%7D)
i.e. ![P(X=4)=5 \times 0.533 \times 0.048](https://tex.z-dn.net/?f=P%28X%3D4%29%3D5%20%5Ctimes%200.533%20%5Ctimes%200.048)
i.e. ![P(X=4)=5 \times 0.533 \times 0.048](https://tex.z-dn.net/?f=P%28X%3D4%29%3D5%20%5Ctimes%200.533%20%5Ctimes%200.048)
i.e. i.e. ![P(X=4)=0.128](https://tex.z-dn.net/?f=P%28X%3D4%29%3D0.128)
Hence, the probability of 4 wins in the next 5 games is 0.128.