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2 years ago

Multiplying polynomials (x-4)^2

Mathematics

2 answers:

balandron [24]2 years ago

8 0

X2-8x+16
Use (x-4)(x-4) and use distributive property

Anettt [7]2 years ago

4 0

$\sf \dashrightarrow(x - 4) {}^{2}$

$\\ \\$

$\sf \dashrightarrow {x}^{2} + {4}^{2} + 2 \times 4 \times x$

$\\ \\$

$\sf \dashrightarrow {x}^{2} + 16 + 8x$

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When 27 times x squared times z all over negative 3 times x squared times z to the sixth power is completely simplified, the exp

marysya [2.9K]

Answer:

-5 or 5 depending on how you write the simplified form

Step-by-step explanation:

$\dfrac{27x^2z}{3x^2z^6}=9x^{2-2}z^{1-6}\\\\\boxed{=9z^{-5}=\dfrac{9}{z^5}}$

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3 years ago

Calculate the sample standard deviation and sample variance for the following frequency distribution of hourly wages for a sampl

lidiya [134]

Answer:

(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

Given

$\begin{array}{cc}{Class} & {Frequency} & 8.26 - 10.00 & 20 &10.01-11.75 & 38 &11.76 - 13.50& 36 & 13.51-15.25 &25&15.26-17.00 &27 &\ \end{array}$

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

$x_1 = \frac{8.26+10.00}{2} = \frac{18.26}{2} = 9.13$

$x_2 = \frac{10.01+11.75}{2} = \frac{21.76}{2} = 10.88$

$x_3 = \frac{11.76+13.50}{2} = \frac{25.26}{2} = 12.63$

$x_4 = \frac{13.51+15.25}{2} = \frac{28.76}{2} = 14.38$

$x_5 = \frac{15.26+17.00}{2} = \frac{32.26}{2} = 16.13$

So, the table becomes:

$\begin{array}{ccc}{Class} & {Frequency} & {x} & 8.26 - 10.00 & 20&9.13 &10.01-11.75 & 38 &10.88&11.76 - 13.50& 36 &12.63& 13.51-15.25 &25&14.38&15.26-17.00 &27 &16.13\ \end{array}$