Answer:
∠ 1 = 20 x + 5
∠ 2 = 24 x - 1
If lines l and m are parallel:
∠ 1 + ∠ 2 = 180°
20 x + 5 + 24 x - 1 = 180
44 x + 4 = 180
44 x = 180 - 4
44 x = 176
x = 176 : 44
x = 4°
Your welcome again :)
Step-by-step explanation:
Answer:
Good question! The correct answer is a) increases and b) increases.
While the pair of answers a) decreases and b) decreases or the pair a) stays the same and b) stays the same would be technically correct answers, this is the best way of describing the trend of the scatter plot; typically, trends are described by how the dependent or y-variable responds to the independent or x-variable increasing.
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%
Answer:
not all of them are proportional because they do not all equal the same.
Step-by-step explanation:
From this question, you can conclude:
1. There are 3 decimal
2. Decimal1 + decimal2+ decimal3= 2
3. The first decimal is 0.34
If you insert the 3rd into 2nd equation, it will become:
0.34+ decimal2+ decimal3= 2
decimal2+ decimal3= 2-0.34
decimal2+ decimal3= 1.56
If there are no rules regarding the second and third decimal, then you can use this both
1.01 + 0.55
0.78 + 0.78
