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GATE2019 ME2: 19
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If $x$ is the mean of data $3, x, 2$ and $4$, then the mode is _____
gate2019me2
numericalanswers
engineeringmathematics
asked
Feb 9, 2019
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Arjun
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According to given condition,
$x$ = $\frac{3 + x + 2 +4}{4}$
$\Rightarrow 4x = x + 9$
$\Rightarrow 3x = 9$
$\Rightarrow x = 3$
Thus, If we rearrange the numbers, We have, $2, 3, 3, 4$
Thus, Mode = $3$
answered
May 18, 2019
by
Shalini26
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May 24, 2019
by
ankitgupta.1729
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Answer:
3 : 3
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GATE2019 ME2: 40
The probability that a part manufactured by a company will be defective is $0.05$. If $15$ such parts are selected randomly and inspected, then the probability that at least two parts will be defective is _____ (round off to two decimal places).
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Feb 9, 2019
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gate2019me2
numericalanswers
engineeringmathematics
probabilityandstatistics
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0
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GATE2019 ME2: 18
The transformation matrix for mirroring a point in $x – y$ plane about the line $y=x$ is given by $\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \\$ $\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \\$ $\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix} \\$ $\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$
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Arjun
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gate2019me2
engineeringmathematics
linearalgebra
matrixalgebra
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GATE2019 ME2: 26
Given a vector $\overrightarrow{u} = \dfrac{1}{3} \big(y^3 \hat{i} + x^3 \hat{j} + z^3 \hat{k} \big)$ and $\hat{n}$ as the unit normal vector to the surface of the hemipshere $(x^2+y^2+z^2=1; \: z \geq 0)$ ... $S$ is $ \dfrac{\pi}{2} \\$ $\dfrac{\pi}{3} \\$ $\dfrac{\pi}{2} \\$ $\pi$
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gate2019me2
engineeringmathematics
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GATE2019 ME2: 27
A diffferential equation is given as $x^2 \frac{d^2y}{dx^2} – 2x \frac{dy}{dx} +2y =4$ The solution of the differential equation in terms of arbitrary constants $C_1$ and $C_2$ is $y=C_1x^2 +C_2 x+2 \\$ $y=\dfrac{C_1}{x^2} +C_2x+2 \\$ $y=C_1x^2+C_2x+4 \\$ $y=\dfrac{C_1}{x^2}+C_2x+4$
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gate2019me2
engineeringmathematics
differentialequation
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GATE2019 ME2: 28
The derivative of $f(x)= \cos x$ can be estimated using the approximation $f'(x)=\dfrac{f(x+h)f(xh)}{2h}$. The percentage error is calculated as $\bigg( \dfrac{\text{Exact value  Approximate value}}{\text{Exact value}} \bigg) \times 100$. The percentage error in the derivative of $f(x)$ ... $> 0.1 \% \text{ and } <1 \%$ $> 1 \% \text{ and } <5 \%$ $>5 \%$
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gate2019me2
engineeringmathematics
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