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Bad White [126]
3 years ago
7

3x^3-2x^2-147x+98=(ax-c)(bx+d)(bx-d) where a,b,c and d positive integers. Work out the value of a,b,c and d

Mathematics
1 answer:
Alexxx [7]3 years ago
6 0

Expand the right side:

(ax-c)(bx+d)(bx-d)=(ax-c)(b^2x^2-d^2)

=ab^2x^3-b^2cx^2-ad^2x+cd^2

Notice that 98 = 2 * 7 * 7, so we have c=2 and d=7.

Then

-ad^2=-147\implies a=\dfrac{147}{49}=3

and

ab^2=3\implies b^2=1\implies b=1

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The class scores of a history test have a normal distribution with a mean Mu = 79 and a standard deviation Sigma = 7. If Opal’s
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Using the normal distribution, we got that expression for the z-score of her test score is

z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1

<h3>What is Normal Probability Distribution?</h3>

it's a type of probability distribution which is  symmetric about the mean, it gives data near the mean are more frequent than data far from the mean.

Given that mean =\mu=79

and standard deviation =\sigma = 7

X=73

we know that formula of z-score is

z=\frac{X-\mu}{\sigma}

Hence Z-score can be calculated as

z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1

Using the normal distribution, we got that expression for the z-score of her test score is

z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1

To learn more about the normal distribution visit : brainly.com/question/24663213

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Jon is taking a 625 mile trip, on the first day he drove 183 miles. How many more miles does he need to drive???
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