Answer:
The probability is 0.0015
Step-by-step explanation:
We know that the mean
is:
![\mu=6:30\ p.m](https://tex.z-dn.net/?f=%5Cmu%3D6%3A30%5C%20p.m)
The standard deviation
is:
![\sigma=0:15\ minutes](https://tex.z-dn.net/?f=%5Csigma%3D0%3A15%5C%20minutes)
The Z-score is:
![Z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
We seek to find
![P(x>7:15\ p.m.)](https://tex.z-dn.net/?f=P%28x%3E7%3A15%5C%20p.m.%29)
The Z-score is:
![Z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![Z=\frac{7:15-6:30}{0:15}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B7%3A15-6%3A30%7D%7B0%3A15%7D)
![Z=\frac{0:45}{0:15}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B0%3A45%7D%7B0%3A15%7D)
![Z=3](https://tex.z-dn.net/?f=Z%3D3)
The score of Z = 3 means that 7:15 p.m. is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
![P(x>7:15\ p.m.)=P(Z>3)=0.0015](https://tex.z-dn.net/?f=P%28x%3E7%3A15%5C%20p.m.%29%3DP%28Z%3E3%29%3D0.0015)
Answer:
![\boxed{7-4=11\:or\:6+3=9}](https://tex.z-dn.net/?f=%5Cboxed%7B7-4%3D11%5C%3Aor%5C%3A6%2B3%3D9%7D)
Step-by-step explanation:
Let
and
be two <em>propositional statements</em>.
The disjunction
is true if either
or
is true or both are true.
In the given options;
The statement;
is false
But;
is true.
Hence,
is true
The correct answer is D
Answer:
-5/4
Step-by-step explanation:
4x-5y=10
-5y=-4x-10
-5y/-5=-4/-5-10/-5
y=4/5+2
perpendicular slope is -5/4