Next time, please share your system of linear equations by typing only one equation per line:
<span>3x - 2y - 7 = 0 5x + y - 3 = 0 NO
</span><span>3x - 2y - 7 = 0
5x + y - 3 = 0 YES
Mult. the 2nd equation by 2 so as to obtain 2y, which will be cancelled out by - 2y in the first equation:
</span><span> 3x - 2y - 7 = 0
2(5x + y - 3 = 0)
Then:
3x - 2y - 7 = 0
10x +2y - 6 = 0
----------------------
13x - 13 = 0, so that x = 1. Find y by subbing 1 for x in either of the 2 given equations.</span>
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:
Option (B)
Step-by-step explanation:
From the given table,
With the increase in the values of x (from x = -2 to x = 2), values of the function is decreasing from x =2 to x = 4.
Interval (0, 1) lies in the domain of the function in which the y-values of the function are,
At x = 0,
f(0) = -6
At x = 1,
f(1) = 0
Therefore, values of the given function are increasing in the interval of (0, 1).
Option (B) will be the correct option.
Answer:
How many miles does each member of the biking club ri
de>
Step-by-step explanation:
This question is statistical, because 1) it provides a thing for you to study (how many miles does each member ride, as well as 2) provides (hopefully) enough respondents (the members of the biking club) that it will not skew the statistics.
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Answer:
$900
Step-by-step explanation:
<u>Let the fixed salary be x and the commission be y, then as per given, the earnings:</u>
- 10000y + x = 1350
- 15000y + x = 1575
<u>Subtract the first equation from the second:</u>
- 15000y - 10000y = 1575 -1350
- 5000y = 225
then
- 10000y =2*5000y = 2*225 = 450
<u>Using the first equation:</u>
<u>So the fixed salary is</u> $900
