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4 years ago

All the real square roots of 144.

Mathematics

2 answers:

Svet_ta [14]4 years ago

7 0

Answer:

12 and -12

Step-by-step explanation:

12 times 12 equals 144

-12 times -12 equals 144 because 2 negatives make a positive

Monica [59]4 years ago

6 0

Answer:

So the set of all real square roots of -144 is the empty set. The imaginary square roots are i12 and -i12.

Step-by-step explanation:

hopefully that helps you

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A bag contains chips of which 27.5 percent are blue. A random sample of 5 chips will be selected one at a time and with replacem

emmasim [6.3K]

Answer:

$\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=0.1997$

Step-by-step explanation:

We know that the mean and standard deviation of the sampling distribution of the sample proportion( $\hat{p}$ ) is given by :-

$\mu _{\hat{p}}=p\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}$

, where p= Population proportion and n = sample size.

Let p be the proportion of blue chips.

As per given , we have

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n= 5

Now , the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 will be :

$\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{ 0.275(1- 0.275)}{5}}\\\\=0.19968725547\approx0.1997$

Hence, the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 are :

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3 years ago