Answer:
The sum of all positive integers is
5 + 6 + 7 + 8 + 9 + 10
= <em>45</em>
Step-by-step explanation:
Because 
and 
So positive numbers between 4.9 and 10.09 are
<em>5+6+7+8+9+10 = 45</em>
<em />
<em>Brainliest will be appreciated.</em>
Answer:
A
Step-by-step explanation:
given 3xy + 4yz + 8xz = 10
subtract 8xz from both sides leaving the terms in y together
3xy + 4yz = 10 - 8xz
take out the common factor y on the left side
y(3x + 4z) = 10 - 8xz
divide both sides by (3x + 4z)
y = 
→ A
<span>Since the problem specifically stated that the people
gather around the table, therefore we assume a circular table hence a circular
formation of gathering. Since the
arrangement is important therefore we use the permutation. </span>
nPr = n! / (n – r)!
<span>However before we proceed with our calculation we MUST
first affix a reference point since the formation is circle. Imagine that the
reference point is the 1st point made when you draw a circle, so it
is the both the 0 degrees and the 360 degrees.</span>
Let us say that one of the actors is the reference point.
So there are now only 8 actors which places can be interchanged. Since all
actors have to sit together, hence the arrangements are:
8P8 = 8! / (8 – 8)! = 40,320
Now since there are 13 total people, therefore the
arrangements of the other 4 people are:
4P4 = 4! / (4 – 4)! = 24
We multiply all to get the total number of arrangements:
<span>Total arrangements = 40320 * 24 * 1 (1 is the reference point)</span>
<span>Total arrangements = 967,680</span>
Answer:
Victor's age after 7 years = 10+7
=> 17 years
Answer:
1024 outcomes
Step-by-step explanation:
Within a particular single question, we can select only 1 correct answer from 2 options. The number of ways of doing this is 2C1 and this is 2
This means for each question, there are only 2 possible outcomes. Now for 10 questions, the total number of possible outcomes would be the outcome of each of the questions multiplied by one another.
That would be (2)^10 which is 1024 outcomes
