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2 years ago

Written as a simplified polynomial in standard form, what is the result when (x-8)^2

Mathematics

1 answer:

Lady_Fox [76]2 years ago

6 0

The result of the simplified polynomial in standard form is 26x-67-x^2.

Given that,

There is (x-8)^2.
And, 10x - 3
The above (x - 8)^3 should be subtracted from 10x-3.

Based on the above information, the equation be like

= (10x - 3) - (x - 8)^2

= 10x - 3 -(x^2-16x+64)

= 10x - 3-x^2+16x-64

= 26x-67-x^2

Therefore we can conclude that the result of the simplified polynomial in standard form is 26x-67-x^2.

Learn more: brainly.com/question/24169758

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I hope this helps you

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3 years ago

X^2-3=0 solve for all real values of x

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3 years ago

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In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A

Marina86 [1]

Answer:

(a) 0.94

(b) 0.20

Step-by-step explanation:

From a population (Bernoulli population), 90% of the bearings meet a thickness specification, let $p_1$ be the probability that a bearing meets the specification.

So, $p_1=0.9$

Sample size, $n_1=500$ , is large.

Let X represent the number of acceptable bearing.

Convert this to a normal distribution,

Mean: $\mu_1=n_1p_1=500\times0.9=450$

Variance: $\sigma_1^2=n_1p_1(1-p_1)=500\times0.9\times0.1=45$

$\Rightarrow \sigma_1 =\sqrt{45}=6.71$

(a) A shipment is acceptable if at least 440 of the 500 bearings meet the specification.

So, $X\geq 440.$

Here, 440 is included, so, by using the continuity correction, take x=439.5 to compute z score for the normal distribution.

$z=\frac{x-\mu}{\sigma}=\frac{339.5-450}{6.71}=-1.56$ .

So, the probability that a given shipment is acceptable is

$P(z\geq-1.56)=\int_{-1.56}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}}=0.94062$

Hence, the probability that a given shipment is acceptable is 0.94.

(b) We have the probability of acceptability of one shipment 0.94, which is same for each shipment, so here the number of shipments is a Binomial population.

Denote the probability od acceptance of a shipment by $p_2$ .