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3 years ago

What is equivalent to -2i(6-7i)

Mathematics

1 answer:

borishaifa [10]3 years ago

5 0

Answer:

-14 - 12i

Step-by-step explanation:

Apply complex arithmetic rule: (ai)(b + ci) = -ac + abi

a = 2, b = 6, c = -7

-( -2(-7) + 2*6i )

-( 14 + 12i)

-14 - 12i

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Which of the following is a root of the polynomial shown below f(x)=x^3+2x^2-x-2

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(5, -20)and (3, n) . Find n .

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Step-by-step explanation: To solve this proportion for n, we can use cross products.

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2 years ago

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Subtract 8 y^2 − 5 y + 7 from 2 y^2 + 7 y + 1 1 The answer is: −6y ^2 +12y+4

lys-0071 [83]

Answer:

$\large\boxed{-6y^2+12y+4}$

Step-by-step explanation:

$(2y^2+7y+11)-(8y^2-5y+7)\\\\=2y^2+7y+11-8y^2-(-5y)-7\\\\=2y^2+7y+11-8y^2+5y-7\qquad\text{combine like terms}\\\\=(2y^2-8y^2)+(7y+5y)+(11-7)\\\\=-6y^2+12y+4$

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3 years ago

A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.

AysviL [449]

Answer:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\bar X= 0.996$ the sample mean

$s=0.004$ the sample deviation

$n =25$ the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

We can use as estimator of the real population deviation the sample deviation for this case $\hat \sigma = s$ / The critical value for 99% of confidence interval is given by $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

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3 years ago

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