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3 years ago

Factor the polynomial by its greatest common monomial factor

Mathematics

1 answer:

givi [52]3 years ago

5 0

Answer:

$\large\boxed{9b^8+24b^3=(3b^3)(3b^5+8)}$

Step-by-step explanation:

$9b^8=3\cdot3\cdot b^{3+5}=\bold{3}\cdot3\cdot\bold{b^3}\cdot b^5=\bold{(3b^3)}(3b^5)\\\\24b^3=\bold3\cdot8\cdot\bold{b^3}=\bold{(3b^3)}(8)\\\\9b^8+24b^3=\bold{(3b^3)}(3b^5)+\bold{(3b^3)}(8)=\bold{(3b^3)}(3b^5+8)\\\\\text{Used}\\\\a^n\cdot a^m=a^{n+m}\\\\\text{distributive property:}\ a(b+c)=ab+ac$

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Simplify: (-2)(-3)+(4)(-8) Simplify: (3)(-6)-18

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Answer:

Step-by-step explanation:

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3 years ago

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Refer to the Trowbridge Manufacturing example in Problem 2-35. The quality control inspection proce- dure is to select 6 items,

Ivanshal [37]

Answer:

77.64% probability that there will be 0 or 1 defects in a sample of 6.

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So we use the binomial probability distribution to solve this question.

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 combinations 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.

The true proportion of defects is 0.15

This means that $p = 0.15$

Sample of 6:

This means that $n = 6$

What is the probability that there will be 0 or 1 defects in a sample of 6?

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

In which

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

$P(X = 0) = C_{6,0}.(0.15)^{0}.(0.85)^{6} = 0.3771$

$P(X = 1) = C_{6,1}.(0.15)^{1}.(0.85)^{5} = 0.3993$

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77.64% probability that there will be 0 or 1 defects in a sample of 6.

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3 years ago

Which is the answer ? Pls help

Kisachek [45]

Answer:

Hello! answer: 248

Step-by-step explanation:

1488 ÷ 6 = 248 HOPE THAT HELPS!

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3 years ago

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Can I get some help? Please show your work! Thanks!

kirill [66]

Hey there,

Your question states: You have a 332 feet fencing to enclose a rectangular region. What is the maximum area.

Your correct answer would be 6,889.

Reason/explanation:

The formula that we would use is $P = 2l+2w$

$f(x)=ax^{2} +b*x+c$

$L=166=-W\\ L=83$
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So by this, now that we know that $L=83$

We do . . . 83 × 83. . .

And you final answer would be Option A.) 6,889

Hope this helps you!

~Jurgen

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3 years ago

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at a clothing store, levi's jeans are on sale for 40% off. sales tax is 7%. which expression will calculate the total cost of le

aleksandrvk [35]

Given:

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