Multiply 4 or on both sides to get c by itself
c ≤ 16
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:
Step-by-step explanation:
The area of this prism can be found by multiplying the area of the base by the height.
Since this only works if the two bases are the same, let's assign the congruent trapezoids on the front and back of the prism to be the trapezoid's bases.
The area of a trapezoid is equal to the average of its bases multiplied by its height. In this case, the height of each trapezoid is 6 and there are two bases 5 and 8. To find the average of a set of values, add up all the values of the set and divide by . Therefore, the average of 5 and 8 is and the area of the trapezoid is:
Now we multiply this by the prism's height (9 cm), to get our final answer: