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givi [52]
3 years ago
5

How do you factor the sum of 2 squares?

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0
<span>If two terms in a binomial are perfect squares separated by subtraction, then you canfactor them. To factor the difference of two perfect squares, remember this rule: if subtraction separates two squared terms, then the sum and the difference of the twosquare roots factor the binomial.</span>
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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.

1-0.99^n\geq 0.95\\0.99^n\leq 1-0.95\\0.99^n\leq 0.05\\n\geq 297

4 0
3 years ago
Is this a function ? Yes or no and why or why not
never [62]

Answer:

Yes

Step-by-step explanation:

Yes it is a function, because graph is intersecting y - axis only once.

3 0
3 years ago
What is the simplified form of the following expression? Assume a greater-than-or-equal-to 0 and c greater-than-or-equal-to 0
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Answer:

A. 7ac(^4sqrt. ab^2)

Step-by-step explanation:

just took the quiz on edg.

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3 years ago
Two sides of a triangle measure 9 cm and 23 cm what could be the measurement of the third side of the triangle
Vladimir79 [104]
Pythagorean Theorem: a^2+b^2=c^2
(9)^2 + b^2 = (23)^2
81 + b^2 = 529
b^2 = 529 - 81
b^2 = 448
b^2 =
\sqrt{448}
b = 21.2
6 0
3 years ago
What is the square foot of 2
yKpoI14uk [10]
144 square inches because it's 12 by 12 by 12
3 0
3 years ago
Read 2 more answers
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