The table shows the precipitation in December, in inches, for Washington state from 2005 to 2013. What was the mean amount of pr
ecipitation during this time? Round to the nearest hundredth.
A) 1.97 Inches
B) 2.61 Inches
C) 5.33 Inches
D) 5.98 Inches
A) 1.97 Inches
B) 2.61 Inches
C) 5.33 Inches
D) 5.98 Inches
2 answers:
Answer : C) 5.33 Inches
The table shows the precipitation in December, in inches, for Washington state from 2005 to 2013.
We are given with 9 values.
number of values =9
To find the mean amount of precipitation during this time we add all the precipitation then divide by number of values
=
The mean amount of precipitation = 5.33 inches
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Answer:
Option 3 is right.
Step-by-step explanation:
Reference angle of x is obtained by either 180-x, 180+x. or 360-x depending on the posiiton of terminal whether II quadrant or iv quadrant, or iii quadrant, etc.
In whatever way we find reference angles,
cos will remain cos only and sin will remain sin only there may be only changes in sign.
Of all the ordered pairs given, we find that I, II, and Iv there is a switch over form cos to sine and sin to cos. Hence these options cannot be for reference angles.
III option is
show that both sign and cos changed sign. This is possible only in III quadrant.
ie reference angle of orignal angle t = 180+t
SO this option is right.
Answer:
a. ;
b.
Step-by-step explanation:
We need here to apply the <em>Multiplication Principle </em>or the <em>Fundamental Principle of Counting</em> for each answer. Answer <em>b</em> needs an extra reasoning for being completed.
The <em>Multiplication Principle</em> states that if there are <em>n</em> ways of doing something and <em>m</em> ways of doing another thing, then there are <em>n</em> x <em>m</em> ways of doing both (<em>Rule of product</em> (2020), in Wikipedia).
<h3>In how many ways can ten students line up? </h3>There are <em>ten</em> students. When one is selected, there is no other way to select it again. So, <em>no repetition</em> is allowed.
Then, in the beginning, there are 10 possibilities for 10 students; when one is selected, there are nine possibilities left. When another is selected, eight possibilities are left to form the file, and so on.
Thus, we need to multiply the possibilities after each selection: that is <em>why</em> the <em>Multiplication Principle</em> is important here.
This could be expressed mathematically using n!:
For instance,
So, for the case in question, the <em>ten</em> students can line up in:
ways to line up in a single file.
For this question, we need to consider the former reasoning with extra consideration in mind.
The members of Group 1 can occupy <em>only</em> the following places in forming the file:
<em>places</em>.
The members of Group 2 <em>only</em>:
<em>places</em>.
And the members of Group 3, the following <em>only</em> ones:
<em>places.</em>
Well, having into account these possible places for each member of G1, G2 and G3, there are: <em>10! ways</em> for lining up members of G1; <em>10! ways</em> for lining up members of G2 and, also, <em>10! ways</em> for lining up members of G3.
After using the <em>Multiplication Principle</em>, we have, thus:
<em>ways the students can line up to come in from recess</em>.