the company's production unit has a risk of carbon emission
the probability that the company is exceeding the permissible level is 35% =0.35
so there can only be two possibilities, either the company is exceeding the permissible level or its within the permissible level.
and the accuracy of the test that tests the emission level is 85%
so the probability that the carbon emission is within the permissible level is
1 - 0.35 = 0.65
probability that the test measures this accurately is 0.85
therefore when checking the probability that both events happen we have to multiply the 2 probabilities
the probability that carbon emission is within the permissible level and test predicts this outcome is - 0.65 x 0.85 = 0.5525
answer is D.0.5525
Answer: the plain pencil costs 10 cents and the colored pencil costs 20 cents
X=2
So,
=4^2×2 -100
=4^4-100
=256-100
=56
Ratio of boys to girls = 1 : 3
Unknown constant = x
x + 3x = 24
4x = 24
x = 6
No. of girls = 3 x 6 = 18
The correct transformation is a rotation of 180° around the origin followed by a translation of 3 units up and 1 unit to the left.
<h3>
Which transformation is used to get A'B'C'?</h3>
To analyze this we can only follow one of the vertices of the triangle.
Let's follow A.
A starts at (3, 4). If we apply a rotation of 180° about the origin, we end up in the third quadrant in the coordinates:
(-3, -4)
Now if you look at A', you can see that the coordinates are:
A' = (-4, -1)
To go from (-3, -4) to (-4, -1), we move one unit to the left and 3 units up.
Then the complete transformation is:
A rotation of 180° around the origin, followed by a translation of 3 units up and 1 unit to the left.
If you want to learn more about transformations:
brainly.com/question/4289712
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