Answer:
<em>100feet</em>
Step-by-step explanation:
Given the height of the object modelled by the equation
y = -16x^2 + 48x + 64
We can find the maximum height reached by the object since we are not told what to find.
The velocity of the object at its max height is zero.
dy/x = 0
dy/dx = -32x + 48
0 = -32x + 48
32x = 48
x = 48/32
x = 1.5secs
get the max height by substituting x = 1.5 into the given equation:
y = -16x^2 + 48x + 64
y = -16(1.5)^2 + 48(1.5)+ 64
y = -36+72+64
<em>y = 100 feet</em>
<em>Hence the maximum height reached by the object is 100feet</em>
Answer:
$25,600
Step-by-step explanation:
- Given: P = $50,000, r = 20% & t = 3 years
- Formula for depreciation is given as:
- Plugging the values of P, r and t in the above formula, we find:
- So, after third year it will be worth by $25,600.
Step-by-step explanation:
they are independent systems, so in case of an emergency both systems will activate.
this is like rolling 2 dice and asking for the probability that both will show 1.
the probability that both will fail is the product of the individual probabilities for failure :
0.01 × 0.03 = 0.0003
so, the third answer option is correct.
FYI - the probability for 2 dice to both roll 1 is
1/6 × 1/6 = 1/36
Answer:
The probability that the three friends will meet in the same group is .
Step-by-step explanation:
We can define the following random variable:
"The friend was assign to the ith group"
This way and let's define . This way and the pdf for is given by:
We want that the three friends stay in the same group, in other words ,
But this holds for only one of the three groups and need to compute for all possible outcomes. Since the condition is that the three friends stay together, there are three possibilities: They are assign to the first group or the second group or the third group. We are not interested in one of them being assigned to another group. We want:
Which is very close to zero.