Answer:
let remaining angle in heptagon be a.
a+64=180(linear pair)
a=116
again
x+155+90+163+a+121°=720(sum of interior angle of hexagon is (6-2)×180°)
x+529+a=720
x+116=720-529
x=191-116=75
Answer:
Fraction of the scouts are square dancing is 
.
Step-by-step explanation:
Each pair is one Girl Scout and one Boy Scout.
So, to the final fraction ( of the pairs) we are going to get 1/2 from the fraction of girls and 1/2 from the fraction of boys.
Girls= 
Boys= 
To get the fraction of the scouts that are square dancing, we have to add the fraction of girls , with the fraction of boys.
=
=
=
=
This means that from 30 scouts , 19 are dancing.
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>
Answer:
Step-by-step explanation:
28
