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ahrayia [7]
3 years ago
8

A student earned a grade of 80% on a math text that had 20 problems. How many problems on this test did the student answer corre

ctly?
Mathematics
1 answer:
mars1129 [50]3 years ago
7 0
The student got 16 problems correct.
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One of the more famous anecdotes in the field of statistics is known as the "Lady Tasting Tea" and involves the renowned statist
mote1985 [20]

Answer:

n=\frac{0.3(1-0.3)}{(\frac{0.01}{1.96})^2}=8067.36  

And rounded up we have that n=8068

Step-by-step explanation:

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

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

We want for this case a 95% of confidence desired, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for this case is ME =\pm 0.01 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)  

The estimated proportion for this case is \hat p=0.3. And replacing into equation (b) the values from part a we got:

n=\frac{0.3(1-0.3)}{(\frac{0.01}{1.96})^2}=8067.36  

And rounded up we have that n=8068

7 0
3 years ago
What is y=3x and y=2x+2 solution ??
Rzqust [24]

Answer:

Try this: (2,6)

x=2, y=6

Step-by-step explanation:

7 0
3 years ago
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Find the length of side x in the simplest radical form with a rational denominator.
krok68 [10]

Answer:

\sqrt{2}

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

tan(45)=\frac{x}{\sqrt{2}}

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by \sqrt{2}. \sqrt{2} multiplied by itself is simply 2. Try it! We also want to multiply the numerator by \sqrt{2}, but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

tan(45)=\frac{x\sqrt{2} }{2}

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

\frac{x\sqrt{2} }{2*2} =x\sqrt{2}

tan(45)*2=2

We can plug 2 in for the x in the numerator now:

\frac{2\sqrt{2} }{2}

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of x=\sqrt{2}

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

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3 years ago
What is 2inch converted into ft
abruzzese [7]
A Foot Is 12 Inches, There's No Way You Could Turn 2 Inches Into Feet
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3 years ago
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What is the following equation written in standard form?<br> –3x² + 7x=9<br> NEED HELP ASAP
yKpoI14uk [10]

Answer:

-3x^2 + 7x - 9 = 0

The third answer

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3 years ago
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