A theorem is a statement that can be easily prove using a corollary

Mathematics

2 answers:

Reika [66]3 years ago

7 0

False. Although, I'm not 100% sure.

scZoUnD [109]3 years ago

7 0

⇒A theorem is a statement that can be easily prove using a corollary

False Statement

Corollary Means , a Theorem written in another way , when it has been proved.

For Example:The Sum of Angles of Triangle is 180°.-----Theorem

Corollary→If three distinct rays intersect at three points , and sum of interior Angles formed at their point of Intersection is 180°, then it is a Triangle.

Correct Statement will be:

A theorem is a statement that can be easily proved using an Axiom or Postulate.

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A study was recently conducted to estimate the mean cholesterol for adult males over the age of 55 years. From a random sample o

Komok [63]

Answer: Correct critical value = 2.2622

Step-by-step explanation:

Confidence interval for population mean when population standard deviation is unknown:

$\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}$ , where $\overline{x}$ = sample mean, n= sample size, s= sample standard deviation, $t_{\alpha/2}$ = two-tailed t value.

As per given: n= 10

degree of freedom : df = n-1=9

$\overline{x}=242.6\\\\s=73.33\\\\\alpha=5\%=0.05$

Critical t-value : $t_{\alpha/2,df}=t_{0.05/2,9}=t_{0.025,9}=2.2622$

So, the 95 percent confidence interval estimate for the mean :

$242.6\pm (2.2622)\dfrac{73.33}{\sqrt{10}}\\\\=242.6\pm (2.2622)(23.19)\\\\\approx242.6\pm52.46\\\\=(242.6-52.46,\ 242.6+52.46)\\\\=(190.14,\ 295.06)$