we are given
A woman walks due east on the deck of a ship at 4 mi/h.
the ship is moving south at a speed of 24 mi/h
so, firstly, we will draw diagram
so, we have


now, we can use Pythagoras theorem

now, we can plug values
and we get


so,
the speed of the woman relative to the surface of the water is 24.33 mi/h .......Answer
Answer:
4 hours
Step-by-step explanation:
If it took them together with a total of 6 hours and Oliver is half as fast meaning Jose is faster it will take Jose 4 hours.
A simple equation is
6= 4+2
And the 2 would be Oliver since Oliver is half as fast.
Answer:
The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.
The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.
The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.
Answer; 17, 18 and 19
Explanation:
Number = x , x + 1 , x + 2
x + x + 1 + x + 2 = 54
3x + 3 = 54
3x = 51
x = 17
x = 17
x + 1 = 18
x + 2 = 19