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Nonamiya [84]
2 years ago
12

HELP ME PLEASEEEEEEEEEEEEE

Mathematics
1 answer:
Bad White [126]2 years ago
6 0

Answer:

option 2 : =x^4 - 3x^3 +x^2 -4

Step-by-step explanation:

Given P(x) = R(x) - C(x)

R(x) = 2x^4 - 3x^3 + 2x - 1 \ , \ C(x) = x^4 - x^2 + 2x + 3

P(x) = (2x^4 - 3x^3 + 2x -1) - (x^4 -x^2 + 2x +3)

      =2x^4 -3x^3 + 2x -1 -x^4 +x^2 -2x -3

      = (2x^4 - x^4) - 3x^3 +x^2 +(2x -2x) + (-1 -3)                [arranging \ terms]

      =x^4 - 3x^3 +x^2 -4

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The amount of lateral expansion (mils) was determined for a sample of n = 8 pulsed-power gas metal arc welds used in LNG ship co
Alona [7]

Answer:

95% Confidence interval for the variance:

3.6511\leq \sigma^2\leq 34.5972

95% Confidence interval for the standard deviation:

1.9108\leq \sigma \leq 5.8819

Step-by-step explanation:

We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².

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Then, the variance of the sample is

s^2=2.89^2=8.3521

The confidence interval for the variance is:

\dfrac{ (n - 1) s^2}{ \chi_{\alpha/2}^2} \leq \sigma^2 \leq \dfrac{ (n - 1) s^2}{\chi_{1-\alpha/2}^2}

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

\chi_{0.025}=1.6899\\\\\chi_{0.975}=16.0128

Then, the confidence interval can be calculated as:

\dfrac{ (8 - 1) 8.3521}{ 16.0128} \leq \sigma^2 \leq \dfrac{ (8 - 1) 8.3521}{1.6899}\\\\\\3.6511\leq \sigma^2\leq 34.5972

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:

\sqrt{3.6511}\leq \sigma\leq \sqrt{34.5972}\\\\\\1.9108\leq \sigma \leq 5.8819

6 0
3 years ago
Landon bought a camper with a sticker price of $3700. If he paid $210 a
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An architect plans to buy 5 stone spheres and 3 stone cylinders. For the same​ amount, she can buy 2 stone spheres and 6 stone c
Vedmedyk [2.9K]

The cost of each stone sphere is $ 36.81

<em><u>Solution:</u></em>

Given that,

An architect plans to buy 5 stone spheres and 3 stone cylinders

For the same​ amount, she can buy 2 stone spheres and 6 stone cylinders

Let "x" be that same amount

Let "a" be the cost of each stone sphere

Cost of each stone cylinder = $ 36.81

Therefore,

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7 0
3 years ago
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