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3 years ago

LAST QUESTION I think it's 12/5, am I right?

Mathematics

1 answer:

Anon25 [30]3 years ago

8 0

Yes u are right hope this helps

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What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90

Sholpan [36]

Answer: 15

Step-by-step explanation:

(r+1)th term of $(a+b)^n$ is given by:-

$T_{r+1}=\ ^nC_r(a)^{n-r}b^r$

For $(a+b)^6$ , n= 6

$T_3=T_{2+1}=\ ^6C_2(a)^{6-2}(b)^2\\\\$

$=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2$

Hence, the coefficient of the third term in the binomial expansion of $(a+b)^6$ is 15.

3 0

3 years ago

Read 2 more answers

PLEASE HELP ILL GIVE YOU BRAINLIEST!!! Which number line represents the number 0.7?

Novay_Z [31]

Answer:

Step-by-step explanation:

We know $0.7$ is in between $0$ and $1$

Thus the dot has to be in between $0$ and $1$

And it should be $7^t^h$ unit after $0$

Observing all the number line , we see C is the absolute match!

8 0

3 years ago

In Cecilia’s CD collection, 1/5 of her Jazz CDs represents 1/10 of all her CDs. What is the ratio of her Jazz CDs to her non-Jaz

KatRina [158]

Answer: The required ratio is 1:1.

Step-by-step explanation:

Let the total number of CDs be 100

$\frac{1}{10}$ of CDs is given by

$\frac{1}{10}\times 100\\\\=10$

According to question,

$\frac{1}{5}$ of her Jazz CDs represents $\frac{1}{10}$ of all her CDs.

Let the number of Jazz CDs be x

So, it becomes

$\frac{1}{5}\times x=10\\\\x=10\times 5\\\\x=50$

So, Number of Jazz's CDs is 50

Number of Jazz non CDs is given by

$100-50=50$

Ratio of her CDs to her non- CDs is given by

$50:50\\\\1:1$

Hence, the required ratio is 1:1.

6 0

3 years ago

C<br> On Wednesday they made $5.50 How much does Zara get?<br><br> Please help?

Natalija [7]

Answer

Zara gets $5.50

Step-by-step explanation:

7 0

2 years ago

Whats 20,000,000x - 3 =

Amiraneli [1.4K]

Answer:

6666666.667 equals x

Step-by-step explanation:

take the 3 to the other side- doin that is became positive

them you divide to find x

4 0

3 years ago