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3 years ago

What is the factored form of 24y^5 + 3y^2?

Mathematics

1 answer:

Dmitry [639]3 years ago

3 0

Common factor

24y^5+3y^2

3(8y^5+y^2)

Solution

3y^2(2y+1)(4y^2-2y+1)

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D(1) = 1.<br> d(n) = n.d(n-1), for n > 2

melamori03 [73]

Answer:

Step-by-step explanation:

You are stupid

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3 years ago

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4. Look at the polyhedron that you chose at the beginning. Which two solids do you need to create your polyhedron? How many of e

andrey2020 [161]

Answer:

I am currently doing that one as well right know and I think that you need two octahedrons, and 8 tetrahedrons

Step-by-step explanation:

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3 years ago

Consider the following binomial experiment. The probability that a green jelly bean is chosen at random from a large package of

Flura [38]

Answer:

There is a 5.79% probability that at most 2 jelly beans are chosen.

Step-by-step explanation:

For each jelly bean chosen, there are only two possible outcomes. Either it is green, or it is not. This is why we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

There are 13 jelly beans, so $n = 13$ .

The probability that a green jelly bean is chosen at random from a large package of jelly beans is 2/5. This means that $p = 0.4$ .

If Sally chooses 13 jelly beans, what is the probability that at most two will be green jelly beans?

This is

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$ .

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{13,0}.(0.4)^{0}.(0.6)^{13} = 0.0013$

$P(X = 1) = C_{13,1}.(0.4)^{1}.(0.6)^{12} = 0.0113$

$P(X = 1) = C_{13,2}.(0.4)^{2}.(0.6)^{111} = 0.0453$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0013 + 0.0113 + 0.0453 = 0.0579$ .

There is a 5.79% probability that at most 2 jelly beans are chosen.

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3 years ago

A person has 3 hats, 4 shirts, and 2 pairs of pants. ignoring color schemes, how many different outfits can they make.

vova2212 [387]

Number of ways to choose a hat = 3
Number of ways to choose a shirt = 4
Number of ways to choose a pant = 2

According to the fundamental rule of counting, the total ways to make a dress will be the product of the individual numbers an item can be chosen.

So,the number of outfits that can be made = 3 x 4 x 2 = 24 outfits.

Hence, the person can make 24 different outfits.

7 0

3 years ago

The circumference of a circle is 3.14 inches.<br> What is the area of the circle?

SVETLANKA909090 [29]

Answer:

A = .785 inches ^2

Step-by-step explanation:

C = pi *d

We know the diameter = 2*r

C = pi*2*r

Substituting pi = 3.14 we can solve for r

3.14 = 2*pi*r

3.14 = 2*3.14 *r

Divide by 3.14 on each side

3.14/3.14 = 2*3.14 *r/3.14

1 = 2r

Divide by 2

1/2 =2r/2

1/2 =r

Now we can find the area

A = pi *r^2

A = 3.14 *(1/2)^2

A= 3.14 *1/4

A = .785 inches ^2

6 0

3 years ago