Answer:
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Step-by-step explanation:
Answer: x=12
Step-by-step explanation:
OQ is equal to NL since both contain 90 degree angles and are intersected by a radius. Since OS is 3x-2 and NL is 32, then we need to find OQ and set it equal to NL. OS is half of OQ, so multiplying OS by 2 will get you OQ. 6x-4=32
That yields x=12.
(1, 3 )
to determine if the given points are a solution to the equation
They must lie on the given line to be a solution
the only one that is on the line is (1, 3 ) and is therefore the only solution
Answer:
Value of 26.93 will be exceeded 85% of the time.
Step-by-step explanation:
We are given that a random variable is normally distributed with a mean of 25 and a standard deviation of 5.
Let X = a random variable
So, X ~ N()
The z score probability distribution is given by;
Z = ~ N(0,1)
where, = population mean
= standard deviation
Now, we have to find that value which will be exceeded 85% of the time, i.e.;
P(X > ) = 0.85
1 - P(X ) = 0.85
P(X ) = 0.15
P( ) = 0.15
P(Z ) = 0.15
Now, in the z table the critical value of whose less than area is 0.15 is given as 0.3853, i.e;
= 0.3853
= 25 + 1.9265 = 26.93
Therefore, value of 26.93 will be exceeded 85% of the time.