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Question Number 59097    Answers: 0   Comments: 0

A sample of 20 cigarettes is tested to determine nicotine vomtent and the average value observed was 1.2mg.Compute a 99 percentage two−sided confidence interval or the mean nicotine content if it is known that the standard deviation of a cigarette′s nicotine content is 0.2mg.

$${A}\:{sample}\:{of}\:\mathrm{20}\:{cigarettes}\:{is}\:{tested}\:{to}\:{determine}\:{nicotine}\:{vomtent} \\ $$$${and}\:{the}\:{average}\:{value}\:{observed}\:{was}\:\mathrm{1}.\mathrm{2}{mg}.{Compute} \\ $$$${a}\:\mathrm{99}\:{percentage}\:{two}−{sided}\:{confidence}\:{interval} \\ $$$${or}\:{the}\:{mean}\:{nicotine}\:{content}\:{if}\:{it}\:{is}\:{known}\:{that}\:{the}\:{standard}\:{deviation}\:{of}\:{a}\:{cigarette}'{s}\: \\ $$$${nicotine}\:{content}\:{is}\:\mathrm{0}.\mathrm{2}{mg}. \\ $$

Question Number 59095    Answers: 1   Comments: 0

An building student makes a floor plan of a building on a scale of 1:75.At what % change will he need to convert it to a scale of 1:250?

$${An}\:{building}\:{student}\:{makes}\:{a}\:{floor} \\ $$$${plan}\:{of}\:{a}\:{building}\:{on}\:{a}\:{scale}\:{of}\:\mathrm{1}:\mathrm{75}.{At} \\ $$$${what}\:\%\:{change}\:{will}\:{he}\:{need}\:{to}\:{convert} \\ $$$${it}\:{to}\:{a}\:{scale}\:{of}\:\mathrm{1}:\mathrm{250}? \\ $$

Question Number 59094    Answers: 1   Comments: 1

Question Number 59092    Answers: 1   Comments: 0

what % increase will it be to transform an image on a scale of 1:75 to 1:300?

$${what}\:\%\:{increase}\:{will}\:{it}\:{be}\:{to}\:{transform} \\ $$$${an}\:{image}\:{on}\:{a}\:{scale}\:{of}\:\mathrm{1}:\mathrm{75}\:{to}\:\mathrm{1}:\mathrm{300}? \\ $$

Question Number 59089    Answers: 1   Comments: 0

Question Number 59080    Answers: 0   Comments: 0

Question Number 59079    Answers: 0   Comments: 0

Question Number 59077    Answers: 0   Comments: 0

Question Number 59076    Answers: 0   Comments: 0

Question Number 59075    Answers: 0   Comments: 1

Question Number 59074    Answers: 0   Comments: 0

Question Number 59070    Answers: 3   Comments: 0

Question Number 59060    Answers: 2   Comments: 0

Question Number 59059    Answers: 0   Comments: 0

Question Number 59058    Answers: 2   Comments: 1

Question Number 59053    Answers: 0   Comments: 0

f=v v=47×48 f=?

$${f}={v} \\ $$$${v}=\mathrm{47}×\mathrm{48} \\ $$$${f}=? \\ $$

Question Number 59052    Answers: 0   Comments: 0

let f(x) =∫_0 ^(π/2) ln(cosθ +xsinθ)dθ with x fromR 1) determine a explicit form for f(x) 2) calculate ∫_0 ^(π/2) ln(cosθ +sinθ) dθ and ∫_0 ^(π/2) ln(cosθ +2sinθ)dθ .

$${let}\:{f}\left({x}\right)\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {ln}\left({cos}\theta\:+{xsin}\theta\right){d}\theta\:\:\:{with}\:{x}\:{fromR} \\ $$$$\left.\mathrm{1}\right)\:{determine}\:{a}\:{explicit}\:{form}\:\:{for}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {ln}\left({cos}\theta\:+{sin}\theta\right)\:{d}\theta\:\:{and}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {ln}\left({cos}\theta\:+\mathrm{2}{sin}\theta\right){d}\theta\:. \\ $$

Question Number 59050    Answers: 1   Comments: 0

calculate ∫_0 ^∞ ((arctan(x^2 ))/(1+x^2 )) dx

$${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{arctan}\left({x}^{\mathrm{2}} \right)}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx}\: \\ $$

Question Number 59049    Answers: 0   Comments: 1

∫_( 0) ^∞ ((x log x)/((1+x^2 )^2 )) dx =

$$\:\underset{\:\mathrm{0}} {\overset{\infty} {\int}}\:\frac{{x}\:\mathrm{log}\:{x}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }\:{dx}\:= \\ $$

Question Number 59040    Answers: 3   Comments: 0

1) ∫_0 ^( (π/4)) ((sin x+cos x)/(cos^2 x+sin^4 x))dx = ?

$$\left.\mathrm{1}\right)\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{4}}} \:\frac{\mathrm{sin}\:{x}+\mathrm{cos}\:{x}}{\mathrm{cos}\:^{\mathrm{2}} {x}+\mathrm{sin}\:^{\mathrm{4}} {x}}{dx}\:=\:? \\ $$

Question Number 59023    Answers: 0   Comments: 0

please solve my quens

$${please}\:{solve}\:{my}\:{quens} \\ $$

Question Number 59021    Answers: 2   Comments: 10

[Q58885 reposted] How many 4−digit numbers abcd exist which are divisible by 3 and satisfy a≤b≤c≤d?

$$\left[{Q}\mathrm{58885}\:{reposted}\right] \\ $$$${How}\:{many}\:\mathrm{4}−{digit}\:{numbers}\:{abcd}\:{exist} \\ $$$${which}\:{are}\:{divisible}\:{by}\:\mathrm{3}\:{and}\:{satisfy} \\ $$$${a}\leqslant{b}\leqslant{c}\leqslant{d}? \\ $$

Question Number 59018    Answers: 0   Comments: 1

Question Number 59012    Answers: 3   Comments: 0

Question Number 59006    Answers: 0   Comments: 1

probar con h≠0 ((sin(x+h)−sin(x))/h)=((sin(h/2))/(h/2))cos(x+(h/2))

$${probar}\:{con}\:{h}\neq\mathrm{0} \\ $$$$\frac{{sin}\left({x}+{h}\right)−{sin}\left({x}\right)}{{h}}=\frac{{sin}\left({h}/\mathrm{2}\right)}{{h}/\mathrm{2}}{cos}\left({x}+\frac{{h}}{\mathrm{2}}\right) \\ $$$$ \\ $$

Question Number 59003    Answers: 0   Comments: 0

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