Answer:
Slope of PQ = 0
Slope of MN = infinity
PQ and MN are perpendicular to each other
Step-by-step explanation:
for any two points (x1, y1), (x2, y2)given in coordinate plane slope is given by
For any line if slope is zero it is parallel to X axis and perpendicular to Y axis
For any line if slope is infinity it is parallel to Y axis and perpendicular to X axis
Also we know X and Y are perpendicular to each other.
Since slope of PQ is zero it is parallel to X axis and perpendicular to Y axis
Since slope of MN is infinity it is parallel to Y axis and perpendicular to X axis.
Thus two lines PQ and MN are perpendicular to each other.
Answer:
303.3 ft
Step-by-step explanation:
16.3ft²÷2=8.15
then V = LWH/3
(Length, width and height over 3)
then round up
Answer:
<h2>C. (13p+7) is the right answer.</h2>
Answer:
a) 0.0167
b) 0
c) 5.948
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 6.16 ounces
Standard Deviation, σ = 0.08 ounces
We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.
Formula:
a) Standard deviation of 23 bags
b) P( fill volume of 23 bags is below 5.95 ounces)
P(x < 5.95)
Calculation the value from standard normal z table, we have,
c) P( fill volume of 23 bags is below 6 ounces) = 0.001
P(x < 6) = 0.001
Calculation the value from standard normal z table, we have,
If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.
Answer:
<em>Most likely time, </em>according to PERT (Program evaluation and review technique).
Step-by-step explanation:
PERT is "a statistical tool used in <em>project management" (Program evaluation and review technique (2020), </em>in Wikipedia), and it is commonly used with CPM <em>(Critical Path Method)</em> to manage projects.
Inside PERT, there are different defined times to accomplished an activity in a project, that is:
- An <em>optimistic time</em> or minimum time required to accomplished an activity, i.e., if everything goes better than normal, the activity is accomplished before expected.
- A <em>pessimistic time, </em>a time quite the opposite to optimistic time.
- A <em>most likely time</em>, or a time required to accomplished an activity if everything goes as expected or normally.
- An <em>expected time</em>, an statistical estimation.
Considering the question, we have that the <em>time</em> when "the first module of the project could be completed":
- "[...] in as few as 15 days" is the <em>optimistic time</em>.
- "[...] or could take as many as 25 days" is the <em>pessimistic time</em>.
- "[...] but most likely will require 20 days" is the <em>most likely time</em>.
As a result, the <em>20-day estimate</em> is called the <em>most likely time</em> in the context of the PERT/CPM techniques.
