Answer:
0.81 = 81% probability that a randomly selected student is taking a math class or an English class.
0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class
Step-by-step explanation:
We solve this question working with the probabilities as Venn sets.
I am going to say that:
Event A: Taking a math class.
Event B: Taking an English class.
77% of students are taking a math class
This means that 
74% of student are taking an English class
This means that 
70% of students are taking both
This means that 
Find the probability that a randomly selected student is taking a math class or an English class.
This is
, which is given by:

So

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.
Find the probability that a randomly selected student is taking neither a math class nor an English class.
This is

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class
Answer:
k=13.8
Step-by-step explanation:
Given function:
- 2.5k+47.4=81.9
- to find k..
<u><em>Subtract final and middle value:</em></u>
<em><u>Divide by 2.5:</u></em>
Therefore, k=13.8..
Answer:A Produce store sold 63 red apples. If the ratio of red apples to green apples sold was 7:2,
the combined amount of red and green apples sold is 49:14
Step-by-step explanation:
Hope this helps
Answer:
Option (1)
Step-by-step explanation:
Coordinates of the vertices of a quadrilateral WXYZ drawn in the figure are,
W(-1, 4), X(2, 2), Y(0, -1), Z(-3, 1)
Length of a segment having ends as
and
is represented by,
d = 
Length of WX = 
= 
= 
Length of XY = 
= 
Length of YZ = 
= 
Length of ZW = 
= 
Slope of side WX (
) = 
= 
= 
Slope of side XY (
) = 
= 
By the property of perpendicular lines,


therefore, WX and XY are perpendicular.
Slope of YZ (
) =

Therefore, XY ⊥ YZ
Similarly, we can prove YZ ⊥ ZW.
Therefore, quadrilateral WXYZ is a SQUARE.
Option (1) will be the answer.