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valkas [14]
2 years ago
12

The nth term of a sequence is 3n +2 work out the first 3 terms of the sequence

Mathematics
2 answers:
bezimeni [28]2 years ago
7 0

Answer:

The first term is when n= 1

3(1)+2 = 3+2

= 5

The second term is when n= 2

3(2)+2 = 6+2

= 8

The third term is when n=3

3(3)+2 = 11

Zanzabum2 years ago
4 0

Answer:

5, 8, 2

Step-by-step explanation:

.............pi

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a coin will be tossed 10 times. Find the chance that there will be exactly 2 heads among the first five tosses and exactly 4 hea
777dan777 [17]

Answer:

The chance that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses is P=0.0488.

Step-by-step explanation:

To solve this problem we divide the tossing in two: the first 5 tosses and the last 5 tosses.

Both heads and tails have an individual probability p=0.5.

Then, both group of five tosses have the same binomial distribution: n=5, p=0.5.

The probability that k heads are in the sample is:

P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{5}{k}\cdot0.5^k\cdot0.5^{5-k}

Then, the probability that exactly 2 heads are among the first five tosses can be calculated as:

P(x=2)=\dbinom{5}{2}\cdot0.5^{2}\cdot0.5^{3}=10\cdot0.25\cdot0.125=0.3125\\\\\\

For the last five tosses, the probability that are exactly 4 heads is:

P(x=4)=\dbinom{5}{4}\cdot0.5^{4}\cdot0.5^{1}=5\cdot0.0625\cdot0.5=0.1563\\\\\\

Then, the probability that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses can be calculated multypling the probabilities of these two independent events:

P(H_1=2;H_2=4)=P(H_1=2)\cdot P(H_2=4)=0.3125\cdot0.1563=0.0488

7 0
3 years ago
Find the slope and reduce. P=(3-4, 1 1/4) Q=(-1/2, -1)​
Alexxx [7]

Answer:

7/4 i really hope its these one or im failimg my quiz

3 0
2 years ago
Can anyone help me with number 3?
Firdavs [7]
104,976 square feet you do 324 x 324, because its 324 to the 2 power.
3 0
2 years ago
Solve: 100times q equals 8.5648
Serga [27]
Divide 100 by 8.5648. answer is : <span> 100÷ 8.6548</span> 11.5542820169  

hope it hlps ^-^

 
8 0
3 years ago
Read 2 more answers
Please help me :)<br><br><br> ty ty
WARRIOR [948]

Answer:

The slope is <u>steeper</u> and the line is shifted <u>flatter</u>.

Step-by-step explanation:

I have provided a graph to help illustrate the relationship between these two lines, (The red line is line A which is y = 2x + 4, and the blue line is line B which is y = 4x + 9).

As you can see, the slope does determine the steepness of the lines. This means that line A's slope is going up 2 units and over to the right 1 unit, whereas line B's slope is going up 4 units and to the right 1.

Therefore, if line A is to transform into line B, then its slope will be steeper.

Hope this helps you :)

Also, P.S. I don't know if there are supposed to be more options, so I apologize if flatter does not belong in the second box.

6 0
2 years ago
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