Answer:
x = 10
Step-by-step explanation:
If f(x) equals 3x-7 and also equals 23, then you can set 3x-7 equal to 23
3x - 7 = 23
3x = 30
x = 10
We are given that there are a total of 78 students. If we set the following variables:

Then, the sum of all of these must be 78, that is:

Since there are 15 in chemistry and physics and 47 in chemistry, we may replace that into the equation and we get:

Simplifying:

Now we solve for P by subtracting 62 on both sides:

Therefore, there are 16 students in physics
The slope of these coordinates is - 3/5
Answer:
C. The difference of the medians is 4 times the interquartile range.
Step-by-step explanation:
The diagram show two box plots.
<u>Mahoney's box plot:</u>
Median 
Interquartile range 
<u>Martin's box plot:</u>
Median 
Interquartile range 
The interquartile ranges are the same.
The difference of the medians 
Hence, the difference of the medians is 4 times the interquartile range.
we know that
the two triangles in the figure are similar, because they have three equal angles
therefore
The ratio of the corresponding sides are equal

therefore
<u>the answer is the option C</u>
