Answer:
47
Step-by-step explanation:
There are total 52 cards.
Certain number of cards are lost.
When divided by 4, leaves 3 cards remain ; 51, 47, 43, 39, . . .
When divided by 5, leaves 2 cards remain : 47, 42, 37, 32, . . .
When divided by 3, leaves 2 cars remain : 50, 47, 44, 41, . . .
The common number among the three is 47.
Answer:
8 : 1
Step-by-step explanation:
Given ratio of sides = a : b, then
ratio of area = a² : b²
ratio of volumes = a³ : b³
Given
ratio of areas = 384 : 96 = 4 : 1 ← in simplest form, then
ratio of sides = 
: 
= 2 : 1
Hence
ratio of volumes = 2³ : 1³ = 8 : 1
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.
Answer:
this will help https://www.google.com/search?q=factoring+equations&oq=factoring+equations&aqs=chrome..69i57j0l6j69i61.464j0j7&sourceid=chrome&ie=UTF-8#kpvalbx=_w9Z8XvnVCsq7tgXx3SM51
Step-by-step explanation:
its in the video https://www.google.com/search?q=factoring+equations&oq=factoring+equations&aqs=chrome..69i57j0l6j69i61.464j0j7&sourceid=chrome&ie=UTF-8#kpvalbx=_w9Z8XvnVCsq7tgXx3SM51
Step-by-step explanation:
$15
He keeps 8. He saves 5 so 8+5=13
He also gives $2 to charity.
8+5+2= $15
