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3 years ago

Samples of size n= 240 are randomly selected from the population of numbers (O through 20)

1 answer:

7 0

Oh this is easy, skewed to the right would have to make it a good 80 by 90 by 80 by 90 by 80 which would be 4+4 and make that 69

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How

Lady_Fox [76]

Your mom is 65. uh huh

4 0

2 years ago

2logx=3-2log(x+3) solve for x

AVprozaik [17]

Answer:

$\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}$

Step-by-step explanation:

$2\log x=3-2\log(x+3)\\\\Domain:\ x>0\ \wedge\ x+3>0\to x>-3\\\\D:x>0\\============================\\2\log x=3-2\log(x+3)\qquad\text{add}\ 2\log(x+3)\ \text{to both sides}\\\\2\log x+2\log(x+3)=3\qquad\text{divide both sides by 2}\\\\\log x+\log(x+3)=\dfrac{3}{2}\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log\bigg(x(x+3)\bigg)=\dfrac{3}{2}\qquad\text{use the de}\text{finition of a logarithm}\\\\x(x+3)=10^\frac{3}{2}\qquad\text{use the distributive property}$

$x^2+3x=10^{1\frac{1}{2}}\\\\x^2+3x=10^{1+\frac{1}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^2+3x=10\cdot10^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\x^2+3x=10\sqrt{10}\qquad\text{subtract}\ 10\sqrt{10}\ \text{from both sides}\\\\x^2+3x-10\sqrt{10}=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=3,\ c=-10\sqrt{10}\\\\b^2-4ac=3^2-4(1)(-10\sqrt{10})=9+40\sqrt{10}\\\\x=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2(1)}=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2}\\\\x=\dfrac{-3-\sqrt{10+10\sqrt{10}}}{2}\notin D$

6 0

3 years ago

Find the value of the angle θ rounded to 1 DP.

kogti [31]

Answer:

Step-by-step explanation:

Sin 21 = $\frac{opposite side}{hypotenuse}$

Sin 21 = $\frac{BC}{15}$

0.3583 = $\frac{BC}{15}$

0.3583*15 = BC

BC = 5.3745 = 5.37 m

Tan ∅ = $\frac{opposite side}{adjacent side}$

Tan ∅ = $\frac{4}{5.37}= 0.7448$

∅ = tan⁻¹ (0.7448) = 36.67 = 36.7

5 0

3 years ago

Write an equation in point-slope form of the line that passes through the given point and has the given slope. (-6, 2); m = 3

pashok25 [27]

Answer:

there

Step-by-step explanation:

3 0

3 years ago

Which number are greater then 0.3?

Lorico [155]

0.39,0.4. I got these answers because 0.39 has an extra digit the 0.3 so 0.3 becomes 0.30 and 0.39 is bigger than it. 0.4 is greater than 0.3 because the 4 in 0.4 is greater than 0.3. Hope This Helped :D

3 0

3 years ago