At a high school the average grade for the first semester for all subjects was 79.3. Based on this mean , the principal conclude
1 answer:
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Answer:
The expectation is
Step-by-step explanation:
From the question we are told that
The first offer is
The second offer is
The third offer is
The number of tickets is
The price of each ticket is
Generally expectation is mathematically represented as
given that they just offer one
Now
given that they just offer one
Now
given that they offer five
Hence the expectation is evaluated as
Now given that the price for a ticket is
The actual expectation when price of ticket has been removed is
Answer:
- 168.25 ft
- 3.125 s
Step-by-step explanation:
It is almost too easy to let a graphing calculator show you the solution. (See attached)
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You may be expected to use some actual algebra (or even calculus) to find the solution.
If you've spent any time with quadratics, you know the vertex of ax²+bx+c is located at x=-b/(2a). Here, that means the time to get to the highest point is ...
... t = -100/(2·(-16)) = 100/32 = 3.125 . . . . seconds
Then the highest point is ...
... h(3.125) = -16·3.125² +100·3.125 +12 = 168.25 . . . . feet
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Or, you can put the equation into vertex form.
... h(t) = -16t² +100t +12
... = -16(t² +6.25t) +12
... = -16(t² +6.25t +3.125²) +12 +16·3.125² . . . . . add the square of half the t coefficient inside parentheses; add the opposite of the same amount outside parentheses
... = -16(t +3.125)² +168.25 . . . . . simplify
This tells us the peak of the travel of the bullet is at 168.25 ft after 3.125 seconds.
