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3 years ago

3^-6 x (3^4 divided by 3^0)^2. simplfyed i need it quick im about to guess

Mathematics

1 answer:

11111nata11111 [884]3 years ago

7 0

Answer:

Step-by-step explanation:

first the parenthesis

3^4/3^0=3^4

anything raised to the power of 0 is 1

(3^4)^2=3^8 you multiply the powers

3^-6 * 3^8= 3^(-6+8)=3^2

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A simple random sample from a population with a normal distribution of 103 body temperatures has x overbarequals98.90degrees Upp

Shtirlitz [24]

Answer:

$98.90-1.984\frac{0.62}{\sqrt{103}}=96.98$

$98.90+ 1.984\frac{0.62}{\sqrt{103}}=100.82$

The 95% confidence interval would be given by (96.98;100.82)

Step-by-step explanation:

Information given

$\bar X=98.90$ represent the sample mean

$\mu$ population mean (variable of interest)

s=0.62 represent the sample standard deviation

n=103 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=103-1=102$

Since the Confidence is 0.95 or 95%, the significance is $\alpha=0.05$ and $\alpha/2 =0.025$ , and the critical value for this case would be $t_{\alpha/2}=1.984$

And replacing we got:

$98.90-1.984\frac{0.62}{\sqrt{103}}=96.98$

$98.90+ 1.984\frac{0.62}{\sqrt{103}}=100.82$

The 95% confidence interval would be given by (96.98;100.82)

8 0

3 years ago

The claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and th

Alex777 [14]

Answer:

The correct option is b) 4.71

Step-by-step explanation:

Consider the provided information.

Test statistic for proportion: $z=\frac{\hat p-p}{\sqrt{\frac{pq}{n}}}$

It is given that the claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n=800 deaths of the elderly with 15 percent of them attribute to residential falls.

Therefore, $\hat p=0.15$ , p = 0.1, q = 1-0.1 = 0.9 and n = 800.