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4 years ago

Find the remainder when f(x) is divided by x - k. 9) f(x) = x' - 8x? - 10x² – 24x

Mathematics

1 answer:

OlgaM077 [116]4 years ago

6 0

Answer: Graphing a Quadratic Function

y=−10x2−31x

Step-by-step explanation:

Graphing a Quadratic Function

f(x) ÷ x - k.

9) f(x) = x' - 8x? - 10x² – 24x

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Whats 48.5438 x 16 1/7 divided by 8?

Vlad1618 [11]

Answer:

97.95

Step-by-step explanation:

48.5438 x 16 1/7 = 783.6356286

783.6356286 ÷ 8 =97.95445357

round- 97.95

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3 years ago

(03.01 MC) The length of a rectangle is 5 units and its width is 4 units. What is the approximate length of the diagonal of the

Alexxandr [17]

Answer:

√41, or about 6.4 units

Step-by-step explanation:

$\sqrt{ {5}^{2} + {4}^{2} } = \sqrt{25 + 16} = \sqrt{41}$

√41 is about 6.4 units

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2 years ago

The triangles below are similar. Find the length of the missing side (giving brainliest and thanks to all!)

andreev551 [17]

Answer:

x = 4

Step-by-step explanation:

I think this is correct

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3 years ago

Read 2 more answers

I NEED HELP FAST! Find the measure of the missing angles.

loris [4]

Angle G = 130 degrees

Angle H = 50 degrees

Angle K = 74 degrees

Angle M = 106 degrees

Angle G would be 130 degrees because it's a vertical angle, and vertical angles are always alike.

Angle H would be 50 degrees because it's an adjacent angle, and we also know that one side of the line is always 180 degrees so we have an equation that looks like this 180 - 130 = 50 degrees

Angle K would be 74 degrees because it's a vertical angle.

Angle M would be 106 degrees because it's an adjacent angle.

7 0

3 years ago

3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circu

dlinn [17]

Answer:

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

The null hypothesis is rejected

The 99% confidence level is $13.3930 < \mu < 13.3994$

Step-by-step explanation:

From the question we are told that

The sample size is n = 10

The population mean is $\mu = 13.4 000 \ angstroms$

The level of significance is $\alpha = 0.05$

The sample data is

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

$\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}$

=> $\= x = 13.3962$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }$

=> $\sigma =0.0039$

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu}{\frac{\sigma}{\sqrt{n} } }$

=> $z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }$

=> $z = 3.08$

Generally the p-value is mathematically represented as

$p-value = 2P( z > 3.08)$

From the z-table $P(z > 3.08)= 0.001035$

$p-value = 2* 0.001035$

$p-value = 0.00207$

So from the obtained value we see that

$p-value < \alpha$

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is 99% then the level of significance is

$\alpha = (100 -99)\%$

=> $\alpha = 0.01$

Generally from the normal distribution table critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 2.58 * \frac{0.0039}{\sqrt{10} }$

=> $E = 0.00318$

Generally the 99% confidence interval is mathematically represented as

$13.3962 - 0.00318 < \mu < 13.3962 + 0.00318$

=> $13.3930 < \mu < 13.3994$

7 0

3 years ago