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Question Number 178673    Answers: 2   Comments: 0

Question Number 178639    Answers: 0   Comments: 0

A set of five numbers has: mode 24 median 21 mean 20 what are the five numbers?

$$\mathrm{A}\:\mathrm{set}\:\mathrm{of}\:\mathrm{five}\:\mathrm{numbers}\:\mathrm{has}: \\ $$$$\mathrm{mode}\:\mathrm{24} \\ $$$$\mathrm{median}\:\mathrm{21} \\ $$$$\mathrm{mean}\:\mathrm{20} \\ $$$$\mathrm{what}\:\mathrm{are}\:\mathrm{the}\:\mathrm{five}\:\mathrm{numbers}? \\ $$

Question Number 178609    Answers: 1   Comments: 0

Question Number 181568    Answers: 0   Comments: 0

Question Number 178074    Answers: 0   Comments: 3

question posted by spillover in 12.10.2022

$${question}\:{posted}\:{by}\:{spillover}\:{in} \\ $$$$\mathrm{12}.\mathrm{10}.\mathrm{2022} \\ $$

Question Number 177957    Answers: 2   Comments: 0

let a > 0 find the sum of the infinite series 1 + (((loga)^2 )/(2!)) + (((loga)^4 )/(4!)) + (((loga)^6 )/(6!))...

$$\mathrm{let}\:\:\mathrm{a}\:>\:\mathrm{0}\:\mathrm{find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{infinite}\: \\ $$$$\mathrm{series} \\ $$$$\:\mathrm{1}\:+\:\frac{\left(\mathrm{loga}\right)^{\mathrm{2}} \:}{\mathrm{2}!}\:+\:\frac{\left(\mathrm{loga}\right)^{\mathrm{4}} \:}{\mathrm{4}!}\:+\:\frac{\left(\mathrm{loga}\right)^{\mathrm{6}} \:}{\mathrm{6}!}... \\ $$

Question Number 177922    Answers: 1   Comments: 0

Question Number 177870    Answers: 0   Comments: 0

Question Number 177859    Answers: 1   Comments: 0

Question Number 177835    Answers: 1   Comments: 0

Question Number 177400    Answers: 3   Comments: 2

∫((√(9a^2 −1))/a)da Evaluate

$$\int\frac{\sqrt{\mathrm{9a}^{\mathrm{2}} −\mathrm{1}}}{\mathrm{a}}\mathrm{da} \\ $$$$ \\ $$$$\mathrm{Evaluate} \\ $$

Question Number 177336    Answers: 0   Comments: 3

A tank GM by 4m by 3m. calculate one−third of its volume. please help!

$$\mathrm{A}\:\mathrm{tank}\:\mathrm{GM}\:\mathrm{by}\:\mathrm{4m}\:\mathrm{by}\:\mathrm{3m}.\:\mathrm{calculate} \\ $$$$\mathrm{one}−\mathrm{third}\:\mathrm{of}\:\mathrm{its}\:\mathrm{volume}. \\ $$$$ \\ $$$$\mathrm{please}\:\mathrm{help}! \\ $$

Question Number 177179    Answers: 1   Comments: 1

If a number is 20% more the other, how much percent is the second number less than the first. please help!

$$\mathrm{If}\:\mathrm{a}\:\mathrm{number}\:\mathrm{is}\:\mathrm{20\%}\:\mathrm{more}\:\mathrm{the}\:\mathrm{other},\:\mathrm{how} \\ $$$$\mathrm{much}\:\mathrm{percent}\:\mathrm{is}\:\mathrm{the}\:\mathrm{second}\:\mathrm{number} \\ $$$$\mathrm{less}\:\mathrm{than}\:\mathrm{the}\:\mathrm{first}. \\ $$$$ \\ $$$$\mathrm{please}\:\mathrm{help}! \\ $$

Question Number 177068    Answers: 1   Comments: 0

Let a,b,c be real numbers such that: a+b+c=0. Prove that: ((a^2 b^2 c^2 )/4)+(((ab+bc+ca)^3 )/(27))≤0

$${Let}\:{a},{b},{c}\:{be}\:{real}\:{numbers}\:{such}\:{that}: \\ $$$${a}+{b}+{c}=\mathrm{0}.\:{Prove}\:{that}: \\ $$$$\frac{{a}^{\mathrm{2}} {b}^{\mathrm{2}} {c}^{\mathrm{2}} }{\mathrm{4}}+\frac{\left({ab}+{bc}+{ca}\right)^{\mathrm{3}} }{\mathrm{27}}\leqslant\mathrm{0} \\ $$

Question Number 176610    Answers: 1   Comments: 0

Question Number 176607    Answers: 1   Comments: 0

Question Number 176440    Answers: 0   Comments: 0

Question Number 176424    Answers: 0   Comments: 0

Using perseval′s Identity Evaluate : ∫_0 ^∞ (((1−cosx)/x))^2 dx Mastermind

$$\mathrm{Using}\:\mathrm{perseval}'\mathrm{s}\:\mathrm{Identity} \\ $$$$\mathrm{Evaluate}\::\:\int_{\mathrm{0}} ^{\infty} \left(\frac{\mathrm{1}−\mathrm{cosx}}{\mathrm{x}}\right)^{\mathrm{2}} \mathrm{dx} \\ $$$$ \\ $$$$\mathrm{Mastermind} \\ $$

Question Number 176360    Answers: 0   Comments: 0

Question Number 176132    Answers: 0   Comments: 0

Question Number 176098    Answers: 1   Comments: 0

The deviations of a set of numbers from 12 are 3, −2, 1, 0, −1, 4, 0, 1 and 2. Calculate the mean and standard deviation of the numbers.

$$\mathrm{The}\:\mathrm{deviations}\:\mathrm{of}\:\mathrm{a}\:\mathrm{set}\:\mathrm{of}\:\mathrm{numbers} \\ $$$$\mathrm{from}\:\mathrm{12}\:\mathrm{are}\: \\ $$$$\:\:\:\:\:\mathrm{3},\:−\mathrm{2},\:\mathrm{1},\:\mathrm{0},\:−\mathrm{1},\:\mathrm{4},\:\mathrm{0},\:\mathrm{1}\:\mathrm{and}\:\mathrm{2}. \\ $$$$\mathrm{Calculate}\:\mathrm{the}\:\mathrm{mean}\:\mathrm{and}\:\mathrm{standard}\: \\ $$$$\mathrm{deviation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{numbers}. \\ $$

Question Number 176094    Answers: 0   Comments: 0

Question Number 176022    Answers: 0   Comments: 0

Question Number 176005    Answers: 0   Comments: 2

Question Number 175976    Answers: 1   Comments: 1

Question Number 175954    Answers: 0   Comments: 0

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