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3 years ago

9

Help please

2 answers:

Kobotan [32]3 years ago

6 0

Answer:

Step-by-step explanation:

360

seropon [69]3 years ago

5 0

The sum of the interior angles is 360

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4 years ago

Read 2 more answers

A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The

Natasha_Volkova [10]

Answer:

The right answer is " $0.2$ ".

Step-by-step explanation:

The given values are:

$\bar{x_0} = 3.7$

$s_o=4.95$

$t_{\frac{0.05}{2} }=2.2621$

As we know,

95% confidence for $\mu_0$ will be:

= $\bar{x_0} \pm t_{\frac{0.05}{2} },n-1\times \frac{s_o}{\sqrt{n} }$

The lower bound will be:

= $3.7-2.2621\times \frac{4.95}{\sqrt{10} }$

= $0.16\simeq 0.2$

The upper bound will be:

= $3.7+2.2621\times \frac{4.95}{\sqrt{10} }$

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Thus the right answer is " $0.2$ "

8 0

3 years ago

A triangle has base 2x+1 and height 6x-3. What value of x would give an area of 240m2?

GREYUIT [131]

Answer:

The values of x which would give an area of 240m² would be:

$x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}$

Step-by-step explanation:

Given

The base of triangle b = 2x+1

The height of triangle h = 6x-3

The Area of the triangle A = 240 m²

The Area of the triangle has the formula

A = 1/2 × b × h

substituting b = 2x+1, h = 6x-3 and A = 240

$240\:=\:\frac{1}{2}\:\left(2x+1\right)\:\times \left(6x-3\right)$

$480=\left(2x+1\right)\left(6x-3\right)$

$480=12x^2-3$

Subtract 480 from both sides

$12x^2-3-480=480-480$

$12x^2-483=0$

$3\left(4x^2-161\right)=0$

$3\left(2x+\sqrt{161}\right)\left(2x-\sqrt{161}\right)=0$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$2x+\sqrt{161}=0\quad \mathrm{or}\quad \:2x-\sqrt{161}=0$

solving

$2x+\sqrt{161}=0$

$2x=-\sqrt{161}$

Divide both sides by 2

$\frac{2x}{2}=\frac{-\sqrt{161}}{2}$

$x=-\frac{\sqrt{161}}{2}$

also solving

$2x-\sqrt{161}=0$

$2x=\sqrt{161}$

Divide both sides by 2

$\frac{2x}{2}=\frac{\sqrt{161}}{2}$

$x=\frac{\sqrt{161}}{2}$

Therefore, the values of x which would give an area of 240m² would be:

$x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}$

3 0

3 years ago