Answer:
3/4= 75 % of the data is greater than the first quartile in a box-and-whisker plot.
Step-by-step explanation:
75 % of the data is greater than the first quartile in a box-and-whisker plot.
The first quartile denoted by Q1 is the median of the lower half of the data set.
This means that 25% of the values lie in the first quartile and 75 % of the values lie above the first quartile.
In the box and whisker plot the longer box indicates the interquartile range whereas the sides represent the 1st and 3rd quartile. The first quartile is the region where the values start and increase to the interquartile range.
75 % means = 75/100 or 0.75 or 3/4
75/100= 15/20= 3/4
Answer:
x - 1 is not a factor.
Step-by-step explanation:
By the Factor theorem if x - 1 is a factor then f1) = 0:
f(1) = 4*1^3 + 3*1^2 - 4*1 + 3
= 4 + 3 - 4 + 3
= 6 so it is not a factor.
Answer:
option D is true.
Step-by-step explanation:
The right-angled triangle is shown.
From the right-angled triangle,
The angle Ф = 60°
We know that the trigonometric ratio
tan Ф = opposite / adjacent
Thus,
tan 60 = 4 / n
√3 = 4/n
n = 4/√3
Thus,
n = 4/√3
= (4 × √3) / (√3 × √3)
= 4√3 / 3
Thus,
n = 4√3 / 3
Using Pythagorean theorem
m = √n²+4²





Thus,
Therefore, option D is true.
For this case we have the following inequality:

The first thing we must do is to graph the linear function:

Then, we must evaluate ordered pairs in the following way:
(x, y)
The ordered pairs that meet the inequality, will be included as part of the graph.
Therefore, the shaded region contains all the ordered pairs that meet the inequality.
Answer: See attached image.