Answer:
The anchor should be located at the midpoint between the 20m high and 60m high antennas.
Step-by-step explanation:
Let the length of cable for 20m high antenna be represented by x, and that for 60m high antenna be y.
The single length of cable required = x + y.
From the principle of geometry, if the cable is anchored at 200m from the 20m high antenna, it forms a right angled triangle. Applying the Pythagoras theorem,
x =
= 199
Applying the same principle to the 60m high antenna gives,
y =
= 191
The single length of cable required = 199+ 191
= 390m
Varying the point of location of the anchor between the two antennas causes an increase in the length of cable required.
The anchor should be located at the midpoint between the two antennas to achieve a minimum amount of cable.
Answer:
z=62 degrees
y=117 degrees
Step-by-step explanation:
z is just supplement of 118 degree angle. So z is just 180-118=62.
The sum of all angles in the four sided shape is ((number of sides)-2)180.
(4-2)180=360.
We know three angles already.
360-62-97-84=117
Thus, y is 117 degrees.
Answer is B I got it right on the test :)
Answer:
8.241
Step-by-step explanation:
Answer:
Correct option is (A).
Step-by-step explanation:
Let <em>p</em> = proportion of water samples that exceeded the desired pH level.
A sample of size <em>n</em> = 648 is selected. Of these samples <em>X</em> = 62 exceeded the desired pH levels.
The confidence interval for the population proportion is given by:
The MOE or margin of error is estimated difference between the true population parameter value and the sample statistic value.
The information provided is:
MOE = 0.02
Compute the 90% confidence interval for the proportion of water samples that exceeds the desired pH level as follows:
Thus, the 90% confidence interval for the proportion of water samples that exceeds the desired pH level is (8%, 12%).
This confidence interval implies that there is a 90% confidence that the river water exceeds the desired pH level between 8% and 12% of the time studied.
The correct option is (A).