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2 years ago

If 9 out of 20 candies are orange, how many orange candies will there be per 100 candies total?

Mathematics

1 answer:

avanturin [10]2 years ago

5 0

Answer:

Step-by-step explanation:

20 / 9 = 2.222222222223

100 / 45 = 2.222222222223

9 is 45% of 20 and 45 is 45% of 100.

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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

3 years ago

Which two number have an absolute value of 2

madam [21]

Answer:2 -2

Step-by-step explanation:absolute value is distance from zero so both of those are the same distance from zero

3 0

3 years ago

PLEASE HELP! A juice company gives prizes to anyone finding specially marked caps on its juice bottles. You and your friends buy

laiz [17]

The odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

<h3>What is odds against?</h3>

In probability, the term odds against is the ratio of probability of non occurring a favorable event to the probability of occurring a favorable event. It can be given as,

$\text{odd against}=\dfrac{P(\overline A)}{P(A)}$

Here, $P(\overline A)$ is the probability of not occurring a favorable event, and P(A) is the probability of occurring a favorable event.

A juice company gives the prizes to anyone finding specially marked caps on its juice bottles. The 4 bottles have winning cap in 20 bottles. Thus, the probability of winning is,

$P(A)=\dfrac{4}{20}\\P(A)=\dfrac{1}{5}$

The probability of not winning is,

$P(\overline A)=1-\dfrac{1}{5}\\P=\dfrac{4}{5}$

Thus, the odd against the winning is,

$\text{odd against}=\dfrac{\dfrac{4}{5}}{\dfrac{1}{4}}\\\text{odd against}=\dfrac{16}{5}\\\text{odd against}=3.2$

Thus, the odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

Learn more about the odds against here;

brainly.com/question/1870238

#SPJ1

7 0

2 years ago

What is the surface area of the right cone below?

olga2289 [7]

B. 4967 units idjdnndndndnndndndnndnd

3 0

3 years ago

PLS HELP!

wolverine [178]