Answer:
The likelihood of selecting an individual with high blood pressure who is also a runner is 2/3.
Step-by-step explanation:
Based on the data provided:
P( Choosing someone with high blood pressure ) = 0.3
or stated as P(H) = 0.3
P( Choosing a runner ) = 0.4
or stated as P(R) = 0.4
Now, P( Selecting a person with high blood pressure as well as being a runner) = 0.2
⇒ P(H∩ R) = 0.2
Next, we want to calculate the P(the selected individual is a runner, given they have high blood pressure)
which means we need to determine: P(R/H)
Using BAYES THEOREM:
So, the chance of choosing a person with high blood pressure who is a runner stands at 2/3.
The illustration is omitted. Please see the attachment below.
Answer:
The area of the shaded sector is 144π square units.
Step-by-step breakdown:
Given:
The central angle for the sector is, 
The circle's radius is, 
The area of a sector with radius 'R' and angle 
can be determined with:
Substituting 
gives
Thus, the area of the shaded sector calculates to 144π square units.
Answer:
C. The mean daily salary is not above $350 per day
Step-by-step explanation:
The calculation is displayed below:
Y = a + bX
where,
Y = earnings of a randomly chosen agent
a = $150
b = $50
X = number of loans closed
Now
E(x) = (1 × 0.05) + (2 × 0.10) + (3 × 0.22) + (4 × 0.30) + (5 × 0.18) + (6 × 0.12) + (7 × 0.03)
= 3.94
Consequently,
E(y) = $150 + ($50 × 3.94)
= $347
therefore, option C is incorrect
Answer:
No solution
Step-by-step explanation:
Given: 
and 
Handle each inequality separately.
Utilizing the subtraction property of inequalities
and
Utilizing the addition property of inequalities
Thus, the solution to the combined inequality is the overlap of both solutions.
Refer to the attached image for the number line representation.
No solution
Kevin, since the problem states a number (x) minus 20, and given that 20 is mentioned later, it indicates that it is the second number involved here.
