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3 years ago

Divide f(x) by d(x), f (x)= x^4+2x^3-8x^2-20x+30, d (x)=x^2+2x-3

Mathematics

1 answer:

Savatey [412]3 years ago

7 0

With polynomial long division

x^2-5 with remainder -10x-15
or
x^2-5-(10x+15)/(x^2+2x-3)

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The average and standard deviation of a measurement is 15.0 ± 5.0. if 100 students measured the value, how many would you expect

AURORKA [14]

Solution: We are given:

$\mu=15, \sigma=5$

Using the empirical rule, we have:

$\mu \pm \sigma$ covers 68% of data.

Also the percentage of values below mean = Percentage of values above mean = 50%

Now, let's find the z score for x=20

$z=\frac{20-15}{5}=1$

Therefore, the percentage of values greater than 1 standard deviation above mean $50\% - \frac{68\%}{2} =50\%-34\%=16%$

Expected number of students = 16% of 100 = 16

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3 years ago

Which sample had the least percent error?

vaieri [72.5K]

Answer:

<h3>Sample 4</h3>

Step-by-step explanation:

When there is a large number with 0.1 away from Actual, it is closer than to 20, 32, or 36.

This is the best way I can explain it.

Best of Luck to you.

If you have questions, please feel free to comment below.

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2 years ago

What is the slope of the line that passed through (3,-4) and (4,9)

Advocard [28]

Step-by-step explanation:

<u>Step 1: Find the slope</u>

<u /> $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{9-(-4)}{4-3}$

$m =\frac{9+4}{1}$

$m=13$

Answer: The slope is 13

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3 years ago

A 9 foot tall tree casts a 5 foot shadow . At the same time a house casts a 28 foot shadow. How tall is the house?

ruslelena [56]

Answer:

Step-by-step explanation:

it is 33 if you get it wrong than dab

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2 years ago

Which of the following statements is true about an image after a dilation?

tino4ka555 [31]

Answer:

Not sure what the answer choices are, but choose the choice that says the new image is either stretched or shrunk. In a dilation, the shape/corresponding sides of the pre-image are preserved in the new image, but the size of the new image is altered.

Step-by-step explanation:

hope this helps!

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2 years ago