Recent questions tagged problem-solving

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Express each of the following as rate percent : (a) 2/3 (b) 3/4 (c) 1/4 (d) 1/3 (e) 1/8 (f) 1/16 (g) 21/4 (h) 5/6
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1.Express each of the following as a fraction :(a) 56% (b) 0.25% (c) 4% (d) 80%(e) 25% (f) 1% (g) 0.05% (h) 1.5%2. Express each of the following as rate percent :(a) 2/3 ...
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A shopkeeper cheats to the extent of 10% while buying as well as selling, by using false weights. His total gain is
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Let the density function of a random variable $$\mathrm{X}$$ be given by $$f_{X}(x)=\frac{x+1}{2}, \quad-1 \leq x \leq 1$$. Then, the form of the density function of ...
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Let the density function of a random variable $$\mathrm{X}$$ be given by $$f_{X}(x)=\frac{x+1}{2},-1 \leq x \leq 1$$. Then, the form of the density function of $$W=X... 112 views 1 answers W.F. Sheppard's correction for the fourth central moment, \( { }^{\mu_{4}}$$ is,a) $$\mu_{4}-\frac{1}{2} h^{2} \mu_{2}+\frac{7}{240} h^{3}$$b) \mu_{4}-\frac{1}{2} h... 84 views 1 answers Q. The alternative hypothesis for the Chi-square test of independence states that.a) the three categorical variables independent.b) the two categorical variables independ... 57 views 0 answers For the cumulative distribution function, findF(x)=\left\{\begin{aligned}0, & x<1 \\0.7, & 1 \leq x<4 \\0.9, & 4 \leq x<7 \\U, & 7 \leq x\end{aligned}\right.a. find U... 77 views 0 answers Complete the following table for Refrigerant-134a. Use data from the steam tables.\begin{array}{|c|c|c|c|}\hlineT \,^{\circ}\mathrm{C} & P, \mathrm{kPa} & u, \mathrm{~kJ/... 126 views 1 answers A disc \( 30 \mathrm{~cm} in diameter and $$10 \mathrm{~cm}$$ thick, initially at uniform temperature of $$265 \backslash \mathrm{deg} C$$ is immersed inliquid at ...
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The following welding defects are observed due to the uneven thermal expansion and contraction of different regions of the welded assembly.a) Lamellar tearsb) Distortion ...
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Determine the position b, of the neutral point? Neglect front and back tensions. Additional data: Hardened steel rolls, surface roughness of the rolls = 0.04 μm and roll...
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6 kmol of CO2 and 5 kmol of N2 are filled in a rigid tank at 300 K and 15 MPa. Find the volume of the tank.a) 1.830 m³b) 0.638 m³c) 0.648 m³d) 0.652 m³give correct an...
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A steel strip which is 10 in. long, - in. thick, and 0.5 in. wide. The allowable stress and modulus of shear for the steel is 12000 psi and 11x10^6 psi respectively. Dete...
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A steel strip which is 10 in. long, - in. thick, and 0.5 in. wide. The allowable stress and modulus of shear for the steel is 12000 psi and 11x10^6 psi respectively. Dete...
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Using a standard deck of 52 playing cards you are dealt 5 cards. What is the probability that youwill be dealt at least 1 ace? give answer as decimal Answer:
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A group of eleven individuals is to be divided into two teams (Team A and Team B) of respective sizes 5 and 6. In how many ways can this be done? Give mathematical justif...
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There are 60 people in an Italian restaurant. Of the 60 customers, 31 order pasta, 37 order pizza and 24 order a salad. There are 15 customers that order both pasta and a...
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Why is math important in everyday life?
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Simplify: $$3 x^{2}+2 x-5-\left(x^{2}-4 x+1\right)$$
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How can I improve my speed in solving math problems?
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Simplify $$\sqrt[15]{243}$$
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Simplify $$(x+5)(x+2)$$
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SImplify $$(3 x) /\left(x^2+3\right)-(2 x) /\left(x^2+1\right)$$
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I find it challenging to solve math problems efficiently. What strategies or techniques can I use to enhance my mathematical problem-solving skills?
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I want to enhance my problem-solving abilities and apply them in my daily activities. What steps can I take to achieve this?
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I find it challenging to solve math problems efficiently. What strategies or techniques can I use to enhance my mathematical problem-solving skills?
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Solve the equation.$\log _3(2 x-3)=\log _3(x+5)$
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Simplify $$2^x \cdot 8^{x+1}$$
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Simplify $$a^{2 x} \cdot a^{3 x+1}$$
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Rewrite $$5^3=125$$ as a logarithmic equation.
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Rewrite $$\log _3 9=2$$ as an exponential equation.
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a. Simplify $$\dfrac{3^{x+1}-3^x}{3^x}$$b. Hence or otherwise simplify $$\dfrac{3^{x+1}-3^x}{m \cdot 3^x+2^2 3^x}-\dfrac{3 m-12}{m^2-16}$$
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Simplify by rationalising the denominator (show all working without using a calculator)$$\dfrac{3}{\sqrt{7}-\sqrt{5}}$$
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Without using a calculator, simplify: $$\dfrac{(2 a)^{-2} \times 3 a^{-5}}{\left(a^3 b^{\frac{1}{2}}\right)^2 \times(a b)^0}$$
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Without using a calculator $$\dfrac{6^{2 m} \times 4^{-m}}{\left(3^m\right)^2}$$
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Simplify without using a calculator $$\dfrac{x^2}{1+x}$$ if $$x=1+\sqrt{3}$$
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Simplify without using a calculator $$\dfrac{\sqrt{9^{x+2}}-\sqrt{9^{x-2}}}{3^{x-3}}$$
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How can I improve my problem-solving skills in math?
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Simplify $$\frac{\log 16}{\log 4}$$
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SImplify $$\dfrac{\left(\log _2 8\right)^2}{\log _2 8^2}$$
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simplify $$\log _3 \sqrt{27}$$
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Simplify $$\log _3 \frac{1}{27}$$
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simplify $$-\log 4-\log 25$$
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Simplify using laws of logs $$\log _3 27-\log _3 3$$
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Simplify $$\log _9 27+\log _9 3$$
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Sum of rational terms in $$(\sqrt{2}+\sqrt[5]{3})^{10}$$ is