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Kay [80]
2 years ago
12

I Need Help!!!!

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
8 0

Answer:

6^27

Step-by-step explanation:

To answer this, we are going to use one of the laws of indices

We have this as;

(a^b)^c = a^(b * c) = a^bc

we are going to apply same here

(6^-3)^-9 = 6^(-3 * -9) = 6^27

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Marizza181 [45]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.04 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We assume that a prior estimation for p would be \hat p =0.5 since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

5 0
3 years ago
What is the slop of 2x+3y-9=0
MAVERICK [17]

Answer:

Step-by-step explanation:

We need to write this equation in y=mx+b where m is the slope.

3y= -2x +9

y= -2/3 +9

So now that it is in the form of y=mx+b, we can find the slope. -2/3 is the slope of the equation. Hope that helps!

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2 years ago
the volume of a box is represented by the roduct (x^2+5x+6) times (x+4). Give the polynomial that represents the length of the b
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Answer:

Step-by-step explanation:

x²+5x+6=x²+3x+2x+6=x(x+3)+2(x+3)=(x+3)(x+2)

so Volume=(x+3)(x+2)(x+4)

V=lwh

one of the factors is the length.

3 0
3 years ago
7x + y = 7<br> y = [ ? ]x+ []
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Y=-7x+7

hope this helped!
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