Answer:
There are 3 terms
so it's answer A
Step-by-step explanation:
This is because terms are separated by + or - signs
Answer: Combination
There are <u> 56 </u> committees possible
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Explanation:
The reason why we know we'll use a combination (instead of a permutation) is because order does not matter. There are no ranking positions on a committee. No one person has a special job compared to the other. The ordering of a committee doesn't matter. All that matters is the entire group itself. For instance, if we had people A,B,C then the committee ABC is the same as CBA and BAC. We would have to introduce a different person, say person D, to get a new committee group.
We have n = 8 people overall to choose from and r = 5 slots to fill. Use the combination formula to get
We can conclude there are 56 different committees possible.
1. Hi, please take a good look at the pictures at the bottom.
2. What we are trying to find here is BH.
3. The second picture shows the "diagonal section", DBFH in another perspective.
4. We notice that HB is the hypothenuse of right triangle DBH.
5. So we can apply the pythegoran theorem to find HB, but first we need to find HD and DB.
6. HD is just a side of the cube so it is 5 units. DB is the diagonal of the base square ABCD, so we find it by applying the pythagorean theorem in right triangle ABD:
6. So we have both HD and DB:
7. Remark: Another way would be to use the generalized Pythagorean theorem, which is as follows:
8. In general, given a right rectangular prism with sides a, b and c, the diagonal is given by
Answer:
See explanation
Step-by-step explanation:
Enzo’s profit over the last few months:
- In December, he made profit $900;
- In January, his his profit was $500;
- In February - unknown;
- In March, his loss was $300.
Find the difference between given data
Dec - Jan
Jan - Feb
Feb - Mar
If this sequence is arithmetic, then
So, if the profit in February was $100, then this sequence is arithmetic sequence. In this case,
The recursive formula is
Answer:
P(even no.) = 0.5
Step-by-step explanation:
Using the Formula of Probability =
Total no. of outcomes when a six sided die is rolled are: 6 (as shown below)
1, 2, 3, 4, 5, 6
Required outcomes are only even number: 3 (as shown below)
2, 4, 6
Thus P(even no.) = = = 0.5