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Question Number 180778 Answers: 0 Comments: 0

Question Number 180776 Answers: 2 Comments: 0

Simplify (√((4/( (√2))) + 3))

$${Simplify}\:\:\sqrt{\frac{\mathrm{4}}{\:\sqrt{\mathrm{2}}}\:+\:\mathrm{3}}\: \\ $$$$ \\ $$

Question Number 180775 Answers: 0 Comments: 7

A box contains 2 blue, 1 red balls. We randomly draw one ball then put it back and add two balls of the same color of that ball in the box. We randomly draw again one ball, if it was red then what′s the probability that the first drawn ball was blue?

$${A}\:{box}\:{contains}\:\mathrm{2}\:{blue},\:\mathrm{1}\:{red}\:{balls}.\:{We}\:{randomly} \\ $$$$\:{draw}\:{one}\:{ball}\:{then}\:{put}\:{it}\:{back}\:{and}\:{add}\:{two}\:{balls} \\ $$$$\:{of}\:{the}\:{same}\:{color}\:{of}\:{that}\:{ball}\:{in}\:{the}\:{box}.\:{We} \\ $$$$\:{randomly}\:{draw}\:{again}\:{one}\:{ball},\:{if}\:{it}\:{was}\:{red}\:{then} \\ $$$$\:{what}'{s}\:{the}\:{probability}\:{that}\:{the}\:{first}\:{drawn}\:{ball} \\ $$$$\:{was}\:{blue}? \\ $$

Question Number 180773 Answers: 1 Comments: 0

How many triangles can be formed from non−adjacent vertices of a regular polygon that it angle is 177^( °) ?

$${How}\:{many}\:{triangles}\:{can}\:{be}\:{formed}\:{from} \\ $$$$\:{non}−{adjacent}\:{vertices}\:{of}\:{a}\:{regular}\:{polygon} \\ $$$$\:{that}\:{it}\:{angle}\:{is}\:\mathrm{177}^{\:°} \:? \\ $$

Question Number 180771 Answers: 1 Comments: 1

Mr.W question: we have a triangle ABC. Where is point D s.t. AD,BD and CD divide the triangle in equal area triangles?

$${Mr}.{W}\:{question}: \\ $$$${we}\:{have}\:{a}\:{triangle}\:{ABC}.\:{Where}\:{is}\:{point}\:{D} \\ $$$${s}.{t}.\:{AD},{BD}\:{and}\:{CD}\:{divide}\:{the}\:{triangle} \\ $$$${in}\:{equal}\:{area}\:{triangles}? \\ $$

Question Number 180759 Answers: 1 Comments: 0

Find all functions f : R→R for all x, y ∈R such that f(f(x−y)−yf(x))=xf(y)

$${Find}\:{all}\:{functions}\:{f}\::\:\mathbb{R}\rightarrow\mathbb{R}\:{for}\:{all}\:{x},\:{y}\:\in\mathbb{R}\:{such}\:{that} \\ $$$${f}\left({f}\left({x}−{y}\right)−{yf}\left({x}\right)\right)={xf}\left({y}\right) \\ $$

Question Number 180756 Answers: 3 Comments: 1

Question Number 180735 Answers: 1 Comments: 0

A and B throw with 3 dice. if A throws a sum of 16 points, the probability of B throwing a higher sum is pls solve

$${A}\:{and}\:{B}\:{throw}\:{with}\:\mathrm{3}\:{dice}.\:{if}\:{A}\: \\ $$$${throws}\:{a}\:{sum}\:{of}\:\mathrm{16}\:{points},\:{the} \\ $$$$\:{probability}\:{of}\:{B}\:{throwing}\: \\ $$$${a}\:{higher}\:{sum}\:{is}\: \\ $$$${pls}\:{solve} \\ $$

Question Number 180734 Answers: 1 Comments: 0

If f(x)={_(0, othrrwise) ^(2x , 0≤x≤a) is a probability density funtion of a random variable, then a=? pls solve

$${If}\:{f}\left({x}\right)=\left\{_{\mathrm{0},\:{othrrwise}} ^{\mathrm{2}{x}\:,\:\mathrm{0}\leqslant{x}\leqslant{a}} \:{is}\:{a}\:{probability}\right. \\ $$$${density}\:{funtion}\:{of}\:{a}\:{random}\: \\ $$$${variable},\:{then}\:{a}=? \\ $$$${pls}\:{solve} \\ $$

Question Number 180733 Answers: 0 Comments: 0

let X have a Bernoulli distribution with mean 0.4 , then the variance of 2X−3 is pls solve

$${let}\:{X}\:{have}\:{a}\:{Bernoulli}\:{distribution}\: \\ $$$${with}\:{mean}\:\mathrm{0}.\mathrm{4}\:,\:{then}\:{the}\:{variance} \\ $$$${of}\:\mathrm{2}{X}−\mathrm{3}\:{is} \\ $$$${pls}\:{solve} \\ $$

Question Number 180730 Answers: 1 Comments: 0

is it ((125x^3 ))^(1/3) a polynomial?

$${is}\:{it}\:\sqrt[{\mathrm{3}}]{\mathrm{125}{x}^{\mathrm{3}} }\:\:{a}\:{polynomial}? \\ $$

Question Number 180729 Answers: 2 Comments: 0

if f(x)=((kx+3)/(2x−5)) is a constant function then what will be the value of k?

$${if}\:{f}\left({x}\right)=\frac{{kx}+\mathrm{3}}{\mathrm{2}{x}−\mathrm{5}}\:\:\:{is}\:{a}\:{constant}\:{function} \\ $$$${then}\:{what}\:{will}\:{be}\:{the}\:{value}\:{of}\:{k}? \\ $$

Question Number 180728 Answers: 1 Comments: 0

Given x, y, z∈R^+ such that x^2 −3xy+4y^2 −z=0. when ((xy)/z) reaches its max value, find the max value of (2/x)+(1/y)−(2/z).

$$\mathrm{Given}\:{x},\:{y},\:{z}\in\mathbb{R}^{+} \:\mathrm{such}\:\mathrm{that}\:{x}^{\mathrm{2}} −\mathrm{3}{xy}+\mathrm{4}{y}^{\mathrm{2}} −{z}=\mathrm{0}. \\ $$$$\mathrm{when}\:\frac{{xy}}{{z}}\:\mathrm{reaches}\:\mathrm{its}\:\mathrm{max}\:\mathrm{value},\:\mathrm{find}\:\mathrm{the}\:\mathrm{max}\:\mathrm{value}\:\mathrm{of} \\ $$$$\frac{\mathrm{2}}{{x}}+\frac{\mathrm{1}}{{y}}−\frac{\mathrm{2}}{{z}}. \\ $$

Question Number 180718 Answers: 1 Comments: 0

Resoudre le systeme (dx/dt)=4x+6y (dy/dt)=−3x−5y (dz/dt)=−3x−6y−5z

$${Resoudre}\:{le}\:{systeme} \\ $$$$\frac{{dx}}{{dt}}=\mathrm{4}{x}+\mathrm{6}{y} \\ $$$$\frac{{dy}}{{dt}}=−\mathrm{3}{x}−\mathrm{5}{y} \\ $$$$\frac{{dz}}{{dt}}=−\mathrm{3}{x}−\mathrm{6}{y}−\mathrm{5}{z} \\ $$

Question Number 180713 Answers: 1 Comments: 7

Question Number 180746 Answers: 2 Comments: 0

Question Number 180744 Answers: 2 Comments: 2

Question Number 180698 Answers: 1 Comments: 0

2+(x/(2+(x/(2+(x/:)))))=3 x=?

$$\mathrm{2}+\frac{{x}}{\mathrm{2}+\frac{{x}}{\mathrm{2}+\frac{{x}}{:}}}=\mathrm{3}\:\:\:\:\:\:\:\:\:\:\:{x}=? \\ $$

Question Number 180689 Answers: 1 Comments: 0

value of ∫_o ^(+oo) e^(E(x)) dx

$${value}\:{of}\: \\ $$$$\int_{{o}} ^{+{oo}} {e}^{{E}\left({x}\right)} {dx} \\ $$

Question Number 180695 Answers: 1 Comments: 0

Find all k, m, n ∈ N such that k!+3^m =3^n

$${Find}\:{all}\:{k},\:{m},\:{n}\:\in\:\mathbb{N}\:{such}\:{that} \\ $$$${k}!+\mathrm{3}^{{m}} =\mathrm{3}^{{n}} \\ $$

Question Number 180684 Answers: 1 Comments: 0

Question Number 180683 Answers: 1 Comments: 0

(b) x + y + Kz = 2 3x + 4y + 2z = K 2x + 3y − z = 1

$$\left(\mathrm{b}\right)\:\mathrm{x}\:+\:\mathrm{y}\:+\:\mathrm{Kz}\:=\:\mathrm{2} \\ $$$$\:\:\:\:\mathrm{3x}\:+\:\mathrm{4y}\:+\:\mathrm{2z}\:=\:\mathrm{K} \\ $$$$\:\:\:\:\mathrm{2x}\:+\:\mathrm{3y}\:−\:\mathrm{z}\:=\:\mathrm{1} \\ $$

Question Number 180667 Answers: 3 Comments: 1

Question Number 180680 Answers: 4 Comments: 0

Question Number 180682 Answers: 1 Comments: 0

Determine the value of k such that the following system has (i) a Unique solution (ii) No solution (iii) More than one solution (a) Kx + y + z = 1 x +Ky + z = 1 x + y + Kz = 1

$$\mathrm{Determine}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{k}\:\mathrm{such}\:\mathrm{that}\:\mathrm{the} \\ $$$$\mathrm{following}\:\mathrm{system}\:\mathrm{has}\:\left(\mathrm{i}\right)\:\mathrm{a}\:\mathrm{Unique}\: \\ $$$$\mathrm{solution}\:\left(\mathrm{ii}\right)\:\mathrm{No}\:\mathrm{solution}\:\left(\mathrm{iii}\right)\:\mathrm{More}\:\mathrm{than} \\ $$$$\mathrm{one}\:\mathrm{solution} \\ $$$$ \\ $$$$\left(\mathrm{a}\right)\:\mathrm{Kx}\:+\:\mathrm{y}\:+\:\mathrm{z}\:=\:\mathrm{1} \\ $$$$\:\:\:\:\mathrm{x}\:+\mathrm{Ky}\:+\:\mathrm{z}\:=\:\mathrm{1} \\ $$$$\:\:\:\:\mathrm{x}\:+\:\mathrm{y}\:+\:\mathrm{Kz}\:=\:\mathrm{1} \\ $$

Question Number 180625 Answers: 1 Comments: 0

During the challenge Cup season. Team A scored 15 goals more than Team B. They have 121 goals between them. how many goals did each team score?

$$\mathrm{During}\:\mathrm{the}\:\mathrm{challenge}\:\mathrm{Cup}\:\mathrm{season}.\:\mathrm{Team} \\ $$$$\mathrm{A}\:\mathrm{scored}\:\mathrm{15}\:\mathrm{goals}\:\mathrm{more}\:\mathrm{than}\:\mathrm{Team}\:\mathrm{B}. \\ $$$$\mathrm{They}\:\mathrm{have}\:\mathrm{121}\:\mathrm{goals}\:\mathrm{between}\:\mathrm{them}. \\ $$$$\mathrm{how}\:\mathrm{many}\:\mathrm{goals}\:\mathrm{did}\:\mathrm{each}\:\mathrm{team}\:\mathrm{score}? \\ $$$$ \\ $$

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