Combine like terms: x - 3y^3 + 3x^3 - 5x - x^3 - x - 2x^3

Mathematics

2 answers:

Nuetrik [128]4 years ago

7 0

Hey there!

$Answer: \boxed{-3y^3-5x}$

$Explanation:$

Combine like terms.

$\boxed{-3y^3-5x}}\text{ is your answer.}$

Hope this helps!

$\text{-TestedHyperr}$

Dmitry [639]4 years ago

7 0

Answer:

$-3y^3-5x\\$

Step-by-step explanation:

$x-3y^3+3x^3-5x-x^3-x-2x^3\\$

rewriting will help combine like terms effectively

$-2x^3+3x^3-x^3-3y^3+x-x-5x$

Now combine like terms

$-3y^3-5x$

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Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01. If 10

AnnyKZ [126]

Answer:

a)P=0.42

b) $n\geq 297$

Step-by-step explanation:

We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

$P=\begin{pmatrix}n\\ k\end{pmatrix} p^k(1-p)^{n-k}=\frac{n!}{k!(n!-k!)}p^k(1-p)^{n-k}$

a) we have k=2, n=10 and p=0.01:

$P=\frac{10!}{2!(10!-2!)}0.01^2(1-0.01)^{10-2}\\P=\frac{10!}{2!*8!}0.01^2(0.99)^{8}\\P=45*0.01^2(0.99)^8=0.42$

b) We have, $1-(1-p)^n=P$ , Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.