Answer:
Option D.
Step-by-step explanation:
Consider the below figure attached with this question.
If a line passes through two points 
and 
, then the equation of line is
From the below figure it is clear that the a solid line passes through the points (-2,0) and (0,4). So, the equation of related line is
All area above the solid line is shaded. It means the sign of inequality is ≥.
From the below figure it is clear that the a dashed line passes through the points (2,0) and (0,2). So, the equation of related line is
All area below the dashed line is shaded. It means the sign of inequality is <.
System of inequality is
Therefore, the correct option is D.
Answer:
10(7a +5)
Step-by-step explanation:
The greatest common factor of the two terms is 10. Factoring that out gives ...
10(7a +5)
_____
Other possibilities for meeting the problem requirement are ...
Answer:
The probability that exactly 19 of them are strikes is 0.1504
Step-by-step explanation:
The binomial probability parameters given are;
The probability that the pitcher throwing a strike, p = 0.675
The probability that the pitcher throwing a ball. q = 0.325
The binomial probability is given as follows;
Where:
x = Required probability
Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;
The probability that exactly 19 of them are strikes is given as follows;
Hence the probability that exactly 19 of them are strikes = 0.1504
Answer:
5.24 in
Step-by-step explanation:
The arc length is calculated as
arc = circumference × fraction of circle
= 2πr × 
= 2π × 5 × 
= 
≈ 5.24 in (2 dec. places )
