Answer:
32.1869
Step-by-step explanation:
Formula :
for an approximate result, multiply the length value by 1.609
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Answer:
c) 50
Step-by-step explanation:
We have been given that the mean life of a particular brand of light bulb is 1200 hours. About 95% of this brand of bulbs will last between 1100 and 1300 hours.
We will use z-score formula to solve our given problem.
, where,
,
,
,

We know that 95% of data points lies within two standard deviation of mean, so 1100 will correspond to a z-score of -2 and 1300 will correspond to a z-score of 2.




We can use sample score 1300 and get same answer as:




Therefore, the standard deviation of the light bulbs’ life is 50 years.
Answer:
C
Step-by-step explanation:
The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is
∠ ACE =
(AE - BD ) =
(104 - 46)° =
× 58° = 29° → C
Solve for a.
y=2x/a+2b
Multiply both sides by a.
ay=2ab+2x
Add -2ab to both sides.
ay+−2ab=2ab+2x+−2ab
−2ab+ay=2x
Factor out variable a.
a(−2b+y)=2x
Divide both sides by -2b+y.
a(−2b+y) / −2b+y = 2x / −2b+y
a = 2x / −2b+y