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Sergio [31]
3 years ago
7

If T(n) = n - 7, what is the 5th term

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0
For this equation, you simply plug in the number 5 every time you see an n. So T(5)=5-7, which equals -2
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A bag contains 10 marbles,7 of which are black and 3 are red.three marbles are drawn at one after the other.find the probability
S_A_V [24]
<h3>Answer:  17/24</h3>

==========================================================

Explanation:

We have these four cases or possible outcomes

  • Case 1) We select 0 black marbles and 3 red marbles.
  • Case 2) We select 1 black marble and 2 red marbles.
  • Case 3) We select 2 black marbles and 1 red marble.
  • Case 4) We select 3 black marbles and 0 red marbles.

Let's calculate the probability for case 4.

There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.

The probability of getting 3 black marbles in a row is

(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.

That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).

Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".

So that's why the answer is 17/24.

8 0
3 years ago
Brian measures the lengths of three insects. the first insect is 3/4 inch long. the second insect is 3/8 inch long. the third in
AleksAgata [21]
Im just gonna assume you mean from longest to shortest length? wouldn't it be 3/8 3/6 3/4?
4 0
3 years ago
Can you help me with this
Sati [7]

Answer:

The answer is b. 979,000

Step-by-step explanation:

If you move the decimal right five time from 9.79 you would get 979,000

4 0
3 years ago
Find HY if YL=9. nobody has shown me how to do this the last two weeks
Alekssandra [29.7K]

Step-by-step explanation:

(a) Your computer may be programmed to allocate borderline cases to the

next group down, or the next group up; and it may or may not manage

to follow this rule consistently, depending on its handling of the numbers

involved. Following a rule which says 'move borderline cases to the next

group up', these are the five classifications.

(i) 1.0-1.2 1.2-1.4 1.4-1.6 1.6-1.8 1.8-2.0 2.0-2.2 2.2-2.4

6 6 4 8 4 3 4

2.4-2.6 2.6-2.8 2.8-3.0 3.0-3.2 3.2-3.4 3.4-3.6 3.6-3.8

6 3 2 2 0 1 1

(ii) 1.0-1.3 1.3-1.6 1.6-1.9 1.9-2.2 2.2-2.5

10 6 10 5 6

2.5-2.8 2.8-3.1 3.1-3.4 3.4-3.7

7 3 1 2

(iii) 0.8-1.1 1.1-1.4 1.4-1.7 1.7-2.0 2.0-2.3

2 10 6 10 7

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2.35-2.65 2.65-2.95 2.95-3.25 3.25-3.55 3.55-3.85

7 3 3 1 1

(V) 0.9-1.2 1.2-1.5 1.5-1.8 1.8-2.1 2.1-2.4

6 7 11 7 4

2.4-2.7 2.7-3.0 3.0-3.3 3.3-3.6 3.6-3.9

7 4 2 1 1

(b) Computer graphics: the diagrams are shown in Figures 1.9 to 1.11

5 0
3 years ago
A rectangle is 3 1/2 inches by 2 1/4
Alchen [17]

Answer:

Are you talking about adding? If you are, the answer is 5 3/4. But if you're talking about subtracting, the answer is 1 1/4.

8 0
4 years ago
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