We know that
using a graph tool
see the attached figure
<span>The diver reaches the surface when d = 0
</span>so
<span>0.5t (3.5t- 28.25)=0---------> the solution is
0.5t=0--------> t=0
and
</span><span>(3.5t- 28.25)=0----------> 3.5t=28.25--------> t=28.25/3.5--------> t=8.07 minutes
</span><span>
the time it takes for the diver to reach the surface is when the depth is zero
the time is 8 minutes
the answer is
8 minutes</span>
Answer:
The area of the grass covered by the sprinkler water is approximately 78.54 feet^2
Answer:
20 meters
Step-by-step explanation:
The track is circular so it means that after Patrick raced the entire track he is back at the starting point. In other words, every 440 meters he is back to the beginning.
So we would have that, if he races round the track twice, he would run 440(2) = 880 meters and he would be back at the starting point.
The problem asks us how far is he from the starting point at the 900 meter mark. If at 880 meters he is at the starting point, then at 900 meters he would be 
meters from the starting point.
Answer:
The P-value is 0.0234.
Step-by-step explanation:
We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.
Let = population mean.
So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}
Alternate Hypothesis, : > 100 {means that the population mean is more than 100}
The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;
T.S. = ~
where, = sample mean = 98
s = sample standard deviation = 20
n = sample size = 400
So, the test statistics = ~
= -2
The value of t-test statistics is -2.
Now, the P-value of the test statistics is given by;
P( < -2) = 0.0234 {using the t-table}
Answer:
1. 4; 2. 32; 3. 9; 4. 8; 5. 12; 6. 16; 7. 6; 8. 8; 9. 8; 10. 8
