Math Activity #2The number of the day is 178.25• Write this number in word form:
2 answers:
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Answer:
1974.6 feets
Step-by-step explanation:
The plane's altitude is : h + 100 feets
To obtain h, according to the attached picture ;
We can use trigonometry :
Tan θ = opposite / Adjacent
Opposite = h ; adjacent = 3000 feets
Tan 32° = h / 3000
h = 3000 * 0.6248693
h = 1874.6080
Plane's altitude :
h + 100 feets
(1874.6080 + 100) feets
= 1974.6 feets
Probabilities are used to determine the chances of Laura winning an activity
- The value of p is 1/12
- The expected score of the game is -1/6
- The probability that she has a total score of 5 after two rounds is 0
To calculate the value of p, we make use of the following probability formula
So, we have:
Collect like terms
Evaluate the sums, on the left-hand side
Subtract 11/12 from both sides
Hence, the value of p is 1/12
<h3>(b) How to calculate the expected score</h3>This is calculated using the following expected value formula
So, we have:
Evaluate the products
Simplify
Hence, the expected score of the game is -1/6
<h3>(c) The probability that she has a total score of 5 after two rounds</h3>From the table, we have:
For after two rounds, we make use of the following equation
Hence, the probability that she has a total score of 5 after two rounds is 0
Read more about probabilities at:
The value of is
Explanation:
Given that and
<u>The value of </u><u>:</u>
The value of can be determined by substituting x = 5 in the functions f(x) and g(x) and then dividing the terms, we get, the value of
Thus, we have,
Substituting the value of x = 5 in the functions f(x) and g(x), we get,
Simplifying the terms, we have,
Adding the terms in numerator, we have,
Thus, the value of is