Answer:
Step-by-step explanation:
<u>Use the property of 45 degree right triangles</u>
- c = a√2, where c- hypotenuse, a = legs
<u>Top diagram</u>
<u>Bottom diagram</u>
Answer: The sensor will read 300 liters after 5 minutes.
The sensor sensor should have read 120 liters at time -7 minutes.
Step-by-step explanation:
Given: The amount of water detected by sensor initially= 225 litres
Since, the hose fills the aquarium at a constant rate of 15 liters per minute.
Let x be the time , and y be reading of sensor then

Therefore, the sensor reads after 5 minutes (put x=5 in the equation)= 
To find the sensor read at time -7 minutes put x=-7 in the equation, we get

Hence, the sensor should have read 120 liters at time -7 minutes.
Answer:
The confidence interval at 95 % for which we assume that it contains the true value is (0.0962, 0.1838).
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 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 mean subtracted by M. So it is 0.14 - 0.0438 = 0.0962
The upper end of the interval is the mean added to M. So it is 0.14 + 0.0438 = 0.1838
The confidence interval at 95 % for which we assume that it contains the true value is (0.0962, 0.1838).
Answer:
29.1333333333
Step-by-step explanation:
1.) 15 goes into 43 2 times
2.)15 goes into 137 9 times
3.)Do your decimals