Evaluate the expression. 8^7/8^7
1 answer:
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Probability of the students having brown hair = 0.6
Probability of the students having brown eyes = 0.3
Probability of the students having both brown hair and brown eyes = 0.1
Step-by-step explanation:
Step 1 :
Given,
Percentage of the students having brown hair = 60%
Percentage of the students having brown eyes = 30%
Percentage of the students having both brown hair and brown eyes = 10%
We need to obtain the probability of each separately, when a student is chosen randomly
Step 2 :
The probability of each event happening given its percentage, can be obtained by dividing the corresponding percentage by 100.
Hence we have,
Probability of the students who have brown hair = = 0.6
Probability of the students who have brown eyes = = 0.3
Probability of the students who has both brown hair and eyes = = 0.1
Step 3 :
Answer :
Probability of the students who have brown hair = 0.6
Probability of the students who have brown eyes = 0.3
Probability of the students who has both brown hair and eyes = 0.1
Since this is a right triangle, we can use our trigonometric functions to solve for x.
Since we know the adjacent side and hypotenuse, we will use cosine.
Based on the function
, we can solve for x. The adjacent side is 7 and the hypotenuse is 12. Plugging this in, we get 
.
Now, we must use our inverse trigonometric functions to solve for x:
The inverse cosine and cosine on the left side cancel, leaving you with:
Since we know the adjacent side and hypotenuse, we will use cosine.
Based on the function
Now, we must use our inverse trigonometric functions to solve for x:
The inverse cosine and cosine on the left side cancel, leaving you with: