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2 years ago

Susan incorrectly factored the expression below. 12a − 15b + 6 3 (4a + 5b + 3)

Mathematics

1 answer:

hichkok12 [17]2 years ago

6 0

Answer:

3(4a−5b+2)

Step-by-step explanation:

The answer should have originally been 3(4a-5b+2)

3(4a+5b+3)= 12a+15b+9 which is incorrect.

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What is the length of the radius of a circle with a center at 2 + 3i and a point on the circle at 7 + 2i?

dem82 [27]

You can calculate the difference/vector of both points:
$7+2i-(2+3i)=5-i$
then calculate the magnitude/length like pythagoras
$radius=\sqrt{5^2+(-i*-i)}\\=\sqrt{5^2+i^2}\\=\sqrt{5^2-1}\\=\sqrt{24}\\=\sqrt{4*6}\\=2*\sqrt{6}$

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3 years ago

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rusak2 [61]

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3 years ago

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Arada [10]

Answer: 11.4

Step-by-step explanation:

area of rect. = 24

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3 years ago

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Plz answer this step by step thank you x^2 + 15x + 56

Schach [20]

Answer:

(x + 7)(x + 8)

Step-by-step explanation:

${x}^{2} + 15x + 56 \\ = {x}^{2} + 8x + 7x + 56 \\ = {x}(x + 8) + 7(x + 8) \\ = \huge \red{ \boxed{ (x + 8)(x + 7)}}$

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3 years ago

Wind farm configuration is a significant issue as the upwind turbines generate maximal energy while creating wakes for downwind

lord [1]

Answer:

a) [24.114,29.2858]

b) Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP

Step-by-step explanation:

The 95% confidence interval is given by the interval

$\bf [ \bar x-z^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]$

where

$\bf \bar x$ = 26.7 is the sample mean

s = 17.7 is the sample standard deviation

n = 180 is the sample size

Since the sample size is big enough, we can use the Normal N(0,1) to compute $\bf z^*$ and it would be 1.96(*) (a value such that the area under the Normal curve outside the interval [-z, z] is 5% (0.05))

and our 95% confidence interval is

$\bf [26.7-1.96*\frac{17.7}{\sqrt{180}}, 26.7+1.96*\frac{17.7}{\sqrt{180}}]=\boxed{[24.114,29.2858]}$

(*)

This value can be computed in Excel with

<em>NORMINV(1-0.025,0,1)</em>

and in OpenOffice Calc with

<em>NORMINV(1-0.025;0;1)</em>

Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP

7 0

3 years ago