Answer: wooo
Step-by-step explanation:m
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.
Divide 45 by 9. This leaves you with 5 in the denominator of your fraction. Next, cancel out the x^5 factors completely. They disappear. Next, divide y^16 by y^4. You'll get y^12. The first answer is the correct one.
Answer:
m∠K = 36°
m∠L = 54°
m∠M = 90°
Step-by-step explanation:
A triangle's angles add up to 180 degrees. We will add together all the angles and set them equal to 180. Then, we will solve for x. Lastly, we will solve for the angle measurements.
-> The little "box" in angle M means that it is equal to 90°
90° + (2x + 42)° + (4x + 12)° = 180°
90° + 42° + 12° + 2x° + 4x°= 180°
144° + 6x°= 180°
6x° = 36°
x = 6°
[m∠K]
4x + 12
4(6) + 12
36°
[m∠L]
2x + 42
2(6) + 42
54°