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3 years ago

What is the total quotient of 6476 divided by 12

Mathematics

1 answer:

olga55 [171]3 years ago

4 0

1619/3 as a fraction

539.666667 as a decimal

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For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7

Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k$

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean $210x^6y^4$

We can deduce that this term will be located somewhere in the middle. So I will calculate $k= 5; k=6 \text{ and } k =7$ .

For $k=5$

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just $x^{n-k} y^k$

For $k=6$

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0

4 years ago

If I charged 30$ a hair cut the whole year how many times would each customer have to come in to get 17,510$

V125BC [204]

You would need to come in 583.6 or 584 times

5 0

3 years ago

How do i find joint relative frequency?

Svet_ta [14]

A joint relative frequency is found by dividing a frequency that is not in the Total row or the Total column by the frequency’s row total or column total.

3 0

3 years ago

Help me please giving brainiest

Setler79 [48]

Answer:

1) The most common place (mode) for people to jog is the path.

2) (The picture)

Step-by-step explanation:

1) The mode means what is most common, and since the path has 22 people, it is the most common place.

2) The data is distributed into 5 different columns based on how many people use the certain column. The second column is the mode and most common spot to jog.

4 0

3 years ago

Calculate the expected value of playing a lottery ticket game where each ticket costs $5, and the chance of having winning ticke

Amanda [17]

Answer:

$4895

Step-by-step explanation:

P(winning) = 1 / 1000000 = 0.000001

P(not winning) = 1 - 1/1000000 = 0.999999

Winning amount = 4,900,000,000 - 5 = 4899999995

Amount lost = - 5

__ X: - 5 _________ 4899999995

P(X) : 0.999999 ___ 0.000001

Expected value E(x) = Σx * p(x)

E(x) = - 5(0.999999) + 4899999995(0.000001)

E(x) = - 4.999995 + 4899.999995

E(x) = 4895

Hence, expected value is 4895

6 0

3 years ago