5m - 3n = 19; m - 6n = -7 /pls. help me solve this linear equation with two variables.
1 answer:
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Answer:
The total cost charged by the two companies will be the same for 10 square yards of carpeting .
Step-by-step explanation:
Let us assume that the number of square yards for carpeting used be x.
Let us assume that the total cost of the charged by the companies be y.
As given
Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100.
Than the equation becomes
y = 22x + 100
As given
City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70.
Than the equation becomes
y = 25x + 70
Than the two equations are
y = 22x + 100 and y = 25x + 70
Than compare the two equations are
22x + 100 = 25x + 70
25x - 22x = 100 - 70
3x = 30
x = 10 square yards .
Therefore the total cost charged by the two companies will be the same for 10 square yards of carpeting .
Answer:
Step-by-step explanation:
Given
Let the probability of false positive be represented with p
Required
Determine the probability the first occurrence of p was at the third person
We have that:
The probability that a trustworthy person do not fail the test (q) is:
The required probability implies that:
The first person did not fail: i.e. 0.85
The second person did not fail: i.e. 0.85
The third person failed: i.e. 0.15
This is then calculated as:
<em>Hence, the probability that the first false positive occurred at the third person is 0.108375</em>