Answer:
172.27 in
Step-by-step explanation:
Apply the Sine Rule
Sine Rule is given as:
c = x = ?
C = 180 - (52 + 48) = 80° (sum of triangle)
b = 130 in.
B = 48°
Plug in the values
Multiply both sides by sin(80)
172.274641 = x
x = 172.27 in. (to 2 decimal places)
To find how the mean is affected by an outlier, we can find the means for both of the data sets. We can find a mean by adding all of the quantities together and then dividing by how many there are. But, instead since we see that the outlier is much larger, we know that it would make the data set's mean much larger, since by adding a number that is much greater than the rest, the dividing will create an even larger number.
Answer:
0.1875, or 3/16
Step-by-step explanation:
The formula for density is mass/volume.
I hope this helps :)
Answer:
a. 3/4 inches per minute
b. -1 1/8 inches per minute
c. B is fastest; 1 1/8 is more than 3/4
Step-by-step explanation:
A <em>change</em> is a <em>difference</em>. A <em>rate of change</em> is <em>one difference divided by another</em>, usually the change in y-value divided by the change in x-value.
__
<h3>a.</h3>
The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).
change in elevation per minute = (6 -3 inches)/(8 -4 min)
= (3 inches)/(4 min) = 3/4 inches/minute
__
<h3>b.</h3>
Similarly, ...
change in elevation per minute = (3 -7 1/2 inches)/(18 -14 min)
= (-4 1/2 inches)/(4 min) = -1 1/8 inches/minute
__
<h3>c.</h3>
We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.
The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.
