Answer:
x = 2 ; y =1
Step-by-step explanation:
6x-2y=10 -----------------(i)
6x+3y=15 -------------(ii)
multiply (i) by (-1)
(i)* (-1) -6x + 2y = -10
(ii) <u> 6x + 3y = 15</u>
add, 5y = 5
y= 5/5
y = 1
Put y = 1 in (i)
6x - 2*1 = 10
6x - 2 = 10
6x = 10 + 2
6x = 12
x = 12/6
x = 2
Answer
25 square
centimeters
Step-by-step explanation:
We want to find the area of the image of a rectangle with an area of 25 square
centimeters that has been rotated and reflected in
the coordinate plane.
Recall that, rotation and reflection are rigid transformations.
This means that, the preimage and the image rectangle are congruent.
Therefore the area of the image rectangle is still 25 square centimeters
The answer to your question is 915.75 I think
Answer:
91.72% likely that the soil sample contains organic matter.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have that:
Of 700 samples that contain organic matter, 665 give a positive result and 700 - 665 = 35 give a negative result.
Of 300 samples that do not contain organic matter, 300 - 240 = 60 give a positive result and 240 give a negative result.
If a soil sample test gives a positive result, it is ___% likely that the soil sample contains organic matter.
665 with organic matter out of 665 + 60 = 725 positive tests.
665/725 = 0.9172
0.9172*100% = 91.72%.
91.72% likely that the soil sample contains organic matter.