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astraxan [27]
3 years ago
12

What is 10 to the negative 6th power?

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

Answer:

0.000001

Step-by-step explanation:

It is because 10 is represented as just like 10 and then in a certain place.  And then the negative means it is to the right of the decimal. 6th power means the 6th place. So, basically it means, 10 in the 6th to the right place which is 0.0000010. You do not need the last zero because there is no value after that, so 0.000001.

Sorry if I am wrong! Can I be brainlieest? TYSM

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(a) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 regist
Sladkaya [172]

Answer:

n=9604

Step-by-step explanation:

1) Notation and definitions

X=620 number of people that would vote for the Republican candidate

n=1200 random sample taken

\hat p=\frac{620}{1200}=0.517 estimated proportion of people that would vote for the Republican candidate

p true population proportion of people that would vote for the Republican candidate

Me= 0.01 represent th margin of error.

Confidence =0.95 or 95%

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

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 95% of confidence, 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 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 0.01 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 problem says that we need to use \hat p =0.05, and replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.96})^2}=9604  

And rounded we have that n=9604

6 0
3 years ago
Pls help me giving brainless.​
Natasha2012 [34]
The first day of the month would be the first saturday.

4 0
3 years ago
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Murrr4er [49]

Answer:

36 degrees

Step-by-step explanation:

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8 0
2 years ago
The square root of an integer n is between 9 and 10. What are all the possible values for n. Explain
sashaice [31]
The square root of 9 is \sqrt{81}
The square root of 10 is \sqrt{100}
If \sqrt{n} = 9 to 10
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8 0
3 years ago
For f(x) = 2x + 1 and g(x) = x2 - 7, find (f - g)(x).
kakasveta [241]

Step-by-step explanation:

f(x)=2x+1

g(x)=2x-7

now,

  • f-g(x)=f(x)-g(x)
  • 2x+1-2x+7
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(f-g)(x)=8

hope it helps.

5 0
2 years ago
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