Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%
Step-by-step explanation:
Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.
Let x be the weights of legal U.S. quarters .
Required probability: 
![=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275 \ \ \ [By\ P-value\ calculator]](https://tex.z-dn.net/?f=%3DP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3C%5Cdfrac%7B5.33-5.67%7D%7B0.07%7D%29%2BP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B5.81-5.67%7D%7B0.07%7D%29%5C%5C%5C%5C%3DP%28z%3C-4.857%29%2BP%28z%3E2%29%5Capprox0.02275%20%20%20%20%5C%20%5C%20%5C%20%5BBy%5C%20%20P-value%5C%20calculator%5D)
The percentage of legal quarters will be rejected by the vending machine = 2.275%
The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
The same distance = vt₂ where t₂ is the time to complete the return journey at speed v.
For the whole journey, 2s=60(t₁+t₂). Therefore s=30(t₁+t₂)=40t₁=vt₂.
30t₁+30t₂=40t₁, 10t₁=30t₂, t₁=3t₂, so s=120t₂=vt₂ and v=120kph.
Answer:
2x=3
Step-by-step explanation:
You have two sides that are balanced. On one side is two x's and on the other is three ones. It shows 2x is equal to 3.
#10. Sam: (4, 2); Theater: (-3, 5) #11. Sam is 3 km south and 7 km east of the
theater. #12. (-3, -4) #13. (-3, 0.5) #14. T (0.75, -1.0); U (0.75, 1.25); V (-0.75, 1.25) #15. W(-0.75, -1.0) #16. Janine is describing points that lie on the y-axis. Ordered pairs that lie on the x-axis have a y-coordinate of 0. The origin lies on the x- and y-axis. Any other point with an x-coordinate of 0 lies on the y-axis such as (0, 3).
I hope this helps joseph.. ^^ gl
Answer:
I can't really see the question
Step-by-step explanation:
