Answer:
The temperature at midnight was 26 degrees.
Step-by-step explanation:
Let "x" be the temperature in midnight.
The temperature fell 14 degrees by 5 am.
Temperature at 5 am = x - 14
Temperature at 9 am doubled from what it was at 5 am.
So, temperature at 9 am = 2(x - 14)
It had risen another 8 degrees to 32 by noon.
So, temperature at noon
32 = 2(x - 14) + 8
Now we have to find the value of x.
Distribute 2 inside the parenthesis, we get
32 = 2x - 28 + 8
32 = 2x - 20
2x = 32 + 20
2x = 52
Dividing both sides by 2, we get
x = 26
Therefore, the temperature at midnight was 26 degrees.
Answer:
Step-by-step explanation:
Given:
To find the GCF of using prime factorization.
Writing each in prime factors:
3 = 1 <u>3</u>
24 = 1 2
2
2
<u>3</u>
Now, GCF of 3 and 24 is 3
GCF of and
is
.
Therefore, the overall GCF of the two terms is
Answer: Choice C) No more than 25% of the data for the sets overlap
================================================
Explanation:
It sounds like you are given a visual representation of the box plots. However, for reference, I'm going to post an attached image of the plots so we're both on the same page. See the image below.
Figure 1 and Figure 2 both refer to the same set of boxplots. The only difference is that figure 2 has a blue region from x = 20 to x = 23 to show where the two boxplots overlap.
Since this blue region does not contain a full whisker, and only a fraction of one for each plot, this means that less than 25% of the data is overlapping between the two sets. Recall that the distance from the tip of the whisker to the edge of the boxplot represents 25% of the data exactly. The same can be said if you went from the edge of a box (either Q1 or Q3) to the median.
