Refer to the diagram shown below.
The angle θ = 15° relative to the direction of motion.
Therefore the force acting in the direction of motion is
(12 N) cos(15°) = 11.59 N
By definition,
Work = Force x Distance.
Therefore work done in moving the sled by 25 m is
Work = (11.59 N)*(25 m) = 289.8 J
Answer: 289.8 J
Answer:
Six Decimal Nine Times Ten To The Power Of Seven
Explanation:
Answer:
25.25%
Explanation:
Mean diameter (μ) = 0.35 inches
Standard deviation (σ) = 0.03 inches
For any given diameter, X, the z-score is given by:
![z=\frac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
For X= 0.37 inches:
![z=\frac{0.37-0.35}{0.03}\\z=0.6667](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B0.37-0.35%7D%7B0.03%7D%5C%5Cz%3D0.6667)
A z-score of 0.6667 is equivalent to the 74.75-th percentile of a normal distribution.
Therefore, the percentage of bolts that will have a diameter greater than 0.37 inches is:
![P(X>0.37) = 100 - 74.75\\P(X>0.37) = 25.25\%](https://tex.z-dn.net/?f=P%28X%3E0.37%29%20%3D%20100%20-%2074.75%5C%5CP%28X%3E0.37%29%20%3D%2025.25%5C%25)
The answer I'm pretty sure is 3