Step-by-step explanation:
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Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The mean mileage of a tire is 
The standard deviation is 
The sample size is n = 209
Generally the standard error of mean is mathematically represented as

=>
=>
Generally the probability that the sample mean would differ from the population mean by less than 199 miles is mathematically represented as


=> 
=> 
=> 
=> 
From the z table the area under the normal curve to the left corresponding to 1.11 and -1.11 is

and

So

=> 
84 Hope I Helped! ( Smiles)
Answer:
\angle ACB=40^{\circ}, \angle ABC=63^{\circ}
Step-by-step explanation:
Finding x:
We know that
, because it's a straight line. So,
.
We know that the sum of the angles of any triangle will be
.
So, we have that
.
Combining like terms on the left gives
.
Subtracting
from both sides gives
.
Dividing both sides by
gives
.
Finding missing angle measures:
.
.
So,
and
and we're done!
Note:
. Coincidence? If not, try and prove it!