Answer:
46
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here d = - 3 and
= - 5 , thus
a₁ + (17 × - 3) = - 5
a₁ - 51 = - 5 ( add 51 to both sides )
a₁ = 46
Answer:
5 batches per hour
Step-by-step explanation:
Answer: Choice C) No more than 25% of the data for the sets overlap
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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.
Answer:
44°
Step-by-step explanation:
Given:
m<DOC in circle O = 44°
m<COB in circle O = 80°
Required:
Measure of arc DC.
SOLUTION:
<DOC is a central angle that intercepts arc DC. Central angles are said to be congruent to the arc they intercept.
Therefore, m<DOC = measure of arc DC.
Since m<DOC = 44°, the measure of arc DC = 44°.
Arc DC = 44°