Hi Help me with question 6b) pls
1 answer:
Answer:
k = 9
Step-by-step explanation:
Consider the pattern on the right side , that is
= k(k + 2) + 1 = k² + 2k + 1
Equating
k² + 2k + 1 = 100 ( subtract 100 from both sides )
k² + 2k - 99 = 0 ← in standard form
(k + 11)(k - 9) = 0 ← in factored form
Equate each factor to zero and solve for k
k + 11 = 0 ⇒ k = - 11
k - 9 = 0 ⇒ k = 9
But k > 0 , then k = 9
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Answer:
The probability that a man in this age category does NOT die of cancer during the course of the year is 0.997.
Step-by-step explanation:
Suppose the probability of an event occurring is .
The probability of the given event not taking place is known as the complement of that event.
The probability of the complement of the given event will be,
In this case an events <em>X</em> is defined as a man, aged 55 - 59, will die of cancer during the course of the year.
The probability of the random variable <em>X</em> is:
Then the event of a man in this age category not dying of cancer during the course of the year will be complement of event <em>X, </em>denoted by<em> X</em>'.
The probability of the complement of event <em>X</em> will be:
Thus, the probability that a man in this age category does NOT die of cancer during the course of the year is 0.997.