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2 answers:
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Answer:
a) 64 feet
b) 3 seconds
Step-by-step explanation:
a)
The maximum height of can be bound by finding the y-coordinate of the vertex of
.
Compare this equation to to find the values of
.
.
The x-coordinate of the vertex can be found by evaluating:
So the x-coordinate of the vertex is 1.
The y-coordinate can be found be evaluating at
:
So the maximum height of the rocket is 64 ft high.
b)
When the rocket hit's the ground the height that the rocket will be from the ground is 0 ft.
So we are trying to find the second t such that:
I'm going to divide both sides by -16:
Now we need to find two numbers that multiply to be -3 and add to be -2.
Those numbers are -3 and 1 since (-3)(1)=-3 and (-3)+(1)=-2.
This implies we have either or
The first equation can be solved by adding 3 on both sides: .
The second equation can be solved by subtracting 1 on both sides: .
So when seconds, is when the rocket has hit the ground.
Answer:
Option A) 15.5 is correct
The new median for the new data set is 15.5
Step-by-step explanation:
Given data set is 8,21,17,13
To find the median :
First order the given set of data into least to greatest
The ordered set is 8,13,17,21
Since the given set of data is even
We can take midvalues of data in the set
Median is the mean of two middle values in the data set
Therefore Median=15 ( given )
Given that if 17 is changed to 18 then the given set of data 8,21,17,13 is changed into new set 8,21,18,13
To find the median :
First order the new set of data into least to greatest
The ordered set is 8,13,18,21
Since the given set of data is even
We can take two midvalues of new data in the set
Median is the mean of two middle values in the data set
Therefore New Median=15.5
Therefore option A) 15.5 is correct
The new median for the new data set is 15.5