Answer:
100feet
Step-by-step explanation:
Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;
v(t) = dh/dt = -32t + 80
0 = -32t + 80
32t = 80
t = 80/32
t = 2.5secs
Substitute t = 2.5 into the height formula h = -16t^2 + 80t
h = -16(2.5)^2 + 80(2.5)
h = -100+200
h = 100feet
Hence the maximum height the dolphin jumps is 100feet
Answer:
Step-by-step explanation:
i'll do a few of them
1) one inch plus a half inch plus an eighth inch plus a sixteenth inch
1 + 1/2 + 1/8 + 1/16 read the tick marks
1 + 8/16 + 2/16 + 1/16 find a common denominators
1 and 11/16 add the sixteenth numerator
2)
3)
4) 6 inch plus an eighth inch plus a sixteenth inch
6 + 1/8 + 1/16 read the tick marks
6 + 2/16 + 1/16 find a common denominators
6 and 3/16 add the sixteenth numerator
5) nine inch plus a quarter inch plus an eighth inch
9 + 1/4 + 1/8 read the tick marks
9 + 2/8 + 1/8 find a common denominators
9 and 3/8 add the sixteenth numerator
Answer:
a) 
b) 
c) 
With a frequency of 4
d) 
<u>e)</u>
And we can find the limits without any outliers using two deviations from the mean and we got:

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case
Step-by-step explanation:
We have the following data set given:
49 70 70 70 75 75 85 95 100 125 150 150 175 184 225 225 275 350 400 450 450 450 450 1500 3000
Part a
The mean can be calculated with this formula:

Replacing we got:

Part b
Since the sample size is n =25 we can calculate the median from the dataset ordered on increasing way. And for this case the median would be the value in the 13th position and we got:

Part c
The mode is the most repeated value in the sample and for this case is:

With a frequency of 4
Part d
The midrange for this case is defined as:

Part e
For this case we can calculate the deviation given by:

And replacing we got:

And we can find the limits without any outliers using two deviations from the mean and we got:

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case
20/5
4x/x adding 10 to each
4x+10/x+10 =2
Multiple x+10 to each side
4x+10=2x+20
Then subtract and get
2x=10
Divide
X=5
Now plug it back in
20/5
The standard for is 2000+ 1200