Answer:
<u>The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35
Accuracy of the test of emissions level = 85% = 0.85
2. The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is?
These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:
Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65
Probability that the test predicts the opposite to be true = 0..35 * 0.85 = 0.2975 (The opposite is that the carbon emissions from the company exceed the permissible level)
Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:
0.65 * 0.2975 = 0.193375
<u>The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)</u>
The height of the kite will be 53.32 feet above the ground.
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
- The boy is flying a kite, holding his hands a distance of 3.5 feet above the ground and
- letting all the kite's strings play out. He measures the angle of elevation from his hand to the kite to be 29°. If the string from the kite to his hand is 110 feet long, what is the total vertical height?
The height of the kite above the ground will be calculated as:-


H = Sin(29) x 110
H = 53.32 feet
The hand of the boy is 3.5 above the ground so the total height H(t) of the kite above the ground will be:-
H(t) = 53.232 + 3.5
H(t) = 56.28 feet.
Therefore the height of the kite will be 53.32 feet above the ground.
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The manager should sale the bookshelf for $235.20
Step-by-step explanation:
Wholesale price of book shelf = $147.00
Mark up = 60% of original price

Total = Wholesale price + Mark up

The manager should sale the bookshelf for $235.20
Keywords: mark up, percentage
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Plural because it has eaten
Jenny has the most. That is because Jenny has more than Marcy and Laura.