Question 1011 Mark
State whether the following statement is True or False:
The relation between accumulated value ' $A$ ' and present value ' $P$ ' is $A=P(1+i)^n$
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$(p \vee q) \wedge \sim p$ is a contradiction
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Every square matrix of order n can be expressed as sum of symmetric and skew symmetric matrix
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State whether the following statement is True or False:
If $b_{y x}=1.5$ and $b_{x y}=\frac{1}{3}$ then $r=\frac{1}{2}$, the given data is consistent
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State whether the following statement is True or False:
A sinking fund is a fund established by financial organization
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Truth value of $\sqrt{3}$ is not an irrational number is $F$
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If $\left[\begin{array}{ll}3 & 0 \\ 0 & 2\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{l}3 \\ 2\end{array}\right]$, then $x =1$ and $y =-1$
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Choose the correct alternative:
Both the regression coefficients cannot exceed 1
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State whether the following statement is True or False:
The value of insured property is called policy value
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$p \rightarrow q$ is equivalent to $p \rightarrow \sim q$
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Inverse of $\left[\begin{array}{ll}2 & 0 \\ 0 & 3\end{array}\right]$ is $\left[\begin{array}{cc}\frac{1}{2} & 0 \\ 0 & \frac{1}{3}\end{array}\right]$
View full question & answer→Question 1121 Mark
State whether the following statement is True or False:
$y=5+2.8 x$ and $x=3+0.5 y$ be the regression lines of $y$ on $x$ and $x$ on $y$ respectively, then $b_{y x}=-0.5$
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State whether the following statement is True or False:
An installment of money paid for insurance is called Premium
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$x^2=25$ is true statement.
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If A is non singular, then |A| = 0
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State whether the following statement is True or False:
The equations of two regression lines are $10 x-4 y=80$ and $10 y-9 x=40$. Then $b_{x y}=0.9$
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State whether the following statement is True or False:
Premium is the amount paid to the insurance company every month
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The negation of 10 + 20 = 30 is, it is false that 10 + 20 ≠ 30.
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State whether the following statement is True or False:
The variable used for predicting the response is called the independent variable
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State whether the following statement is True or False:
Regression coefficient of $x$ on $y$ is the slope of regression line of $x$ on $y$
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State whether the following statement is True or False:
Regression analysis is used for measuring the degree of the relationship between the variables
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State whether the following statement is True or False:
$
\operatorname{Cov}(x, x)=\text { Variance of } x
$
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$\operatorname{Corr}(x, x)=1$
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State whether the following statement is True or False:
$
\operatorname{Corr}(x, x)=0
$
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If A and B are two square matrices such that $AB = BA$, then $(A – B)^2 = A^2 – 2AB + B^2$
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State whether the following statement is True or False:
$b_{x y}$ is the slope of regression line of $y$ on $x$
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The converse of inverse of $\sim p \rightarrow q$ is $q \rightarrow \sim p$
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Corner point method is most suitable method for solving the LPP graphically
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The half-plane represented by $3 x+4 y \geq 12$ includes the point $(4,3)$
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If the corner points of the feasible region are (0, 10), (2, 2) and (4, 0), then the minimum value of Z = 3x + 2y is at (4, 0)
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If the corner points of the feasible region are $\left(0, \frac{7}{3}\right),(2,1),(3,0)$ and $(0,0)$, then the maximum value of $Z=4 x+5 y$ is 12
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A convex set includes the points but not the segment joining the points
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LPP is related to efficient use of limited resources
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If LPP has two optimal solutions, then the LPP has infinitely many solutions
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Objective function of LPP is a relation between the decision variables
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The maximum value of $Z=5 x+3 y$ subjected to constraints $3 x+y \leq 12,2 x+3 y \leq 18$, $0 \leq x, y$ is 20
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The graphical solution set of the inequations $0 \leq y, x \geq 0$ lies in second quadrant
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The point $(6,4)$ does not belong to the feasible region bounded by $8 x+5 y \leq 60,4 x+$ $5 y \leq 40,0 \leq x, y$
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Of all the points of feasible region, the optimal value is obtained at the boundary of the feasible region
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The area of the shaded region bounded by two curves $y=f(x)$, and $y=g(x)$ and $X$-axis is $\int_{ a }^{ b } f (x) d x+\int_{ a }^{ b } g (x) d x$
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The equation of the area of the ellipse is $x^2+y^2=a^2$
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The equation of the area of the circle is $\frac{x^2}{ a ^2}+\frac{y^2}{ b ^2}=1$
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The area bounded by the curve $y=f(x)$ lies on the both sides of the $X$-axis is $\left|\int_{ a }^{ b } f (x) d x\right|+\left|\int_{ b }^{ c } f (x) d x\right|$
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The area of portion lying below the $X$ axis is negative
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Standard form of parabola is $x^2=-4 b y$, when curve lies in the positive $Y$-axis
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$y ^2=4 ax$ is the standard form of parabola when curve lies on $X$-axis
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