Answer:
The 75th percentile of this distribution is 11 .25 minutes.
Step-by-step explanation:
The random variable <em>X</em> is defined as the waiting time in line at an ice cream shop.
The random variable <em>X </em>follows a Uniform distribution with parameters <em>a</em> = 3 minutes and <em>b</em> = 14 minutes.
The probability density function of <em>X</em> is:
The <em>p</em>th percentile is a data value such that at least p% of the data-set is less than or equal to this data value and at least (100-p)% of the data-set are more than or equal to this data value.
Then the 75th percentile of this distribution is:
Thus, the 75th percentile of this distribution is 11 .25 minutes.
Answer:
B=48, A=106
Step-by-step explanation:
Using A and B as the unknown variables, not the point names.
The lines in the angles of B and D mean that those angles are congruent, or the same. B=D, so B=48. The lines are the same length, as marked with the arrows, which leads to unknown variable A=106, like point A shows.