Expansion of Binomials| Algebra| ENGG10 LE1 Problem 8

# Category: Mathematics

Includes Engineering Mathematics like Algebra, Geometry, Trigonometry, Calculus, Differential Equations, Probability, Statistics

Expand the following binomial: (x-1/x)^5.

Perform the given operations of the following polynomial

Perform the given operations of the following polynomial

Perform the given operations of the following polynomial

Simplify the given expression. Write the answer with positive exponents.

Simplify the given expression. Write the answer with positive exponents.

Simplify the given expression. Write the answer with positive exponents. $latex \left(\frac{3^2}{a^3}\right)^{-2}\cdot \left(\frac{a^4}{2^2}\right)^2&s=2&bg=ffffff&fg=000000$ SOLUTION: $latex \left(\frac{3^2}{a^3}\right)^{-2}\cdot \:\left(\frac{a^4}{2^2}\right)^2=\frac{\left(3^2\right)^{-2}}{\left(a^3\right)^{-2}}\cdot \frac{\left(a^4\right)^2}{\left(2^2\right)^2}&s=1&bg=ffffff&fg=000000$ $latex =\frac{3^{-4}}{a^{-6}}\cdot \frac{a^8}{2^4}&s=1&bg=ffffff&fg=000000$ $latex =\frac{\frac{1}{3^4}}{\frac{1}{a^6}}\cdot \frac{a^8}{2^4}&s=1&bg=ffffff&fg=000000$ $latex =\frac{a^6}{3^4}\cdot \frac{a^8}{2^4}&s=1&bg=ffffff&fg=000000$ $latex =\frac{a^6}{81}\cdot \frac{a^8}{16}&s=1&bg=ffffff&fg=000000$ $latex =\frac{a^{6+8}}{1296}&s=1&bg=ffffff&fg=000000$ $latex =\frac{a^{14}}{1296}&s=1&bg=ffffff&fg=000000$

Birth weights of male babies at one hospital were recorded for 200 births of boys. A mean of that sample was 35.3 hg and a standard deviation of 7.2 hg. a) Construct a 90% confidence interval for the mean of all boy baby weights. b) A medical Journal claims that the mean weight of male babies is 37.0 hg. Test that claim at a 0.10 level of significance. c) Use a 0.05 level of significance to test a claim that the real standard deviation of boy birth weights is 6.75 hg.

In a recent study of drive-through orders at Burger King, they found out that 365 were accurate and 71 were not accurate. a) Construct a 95% confidence interval for the population percentage of their drive-through order that were not accurate. b) If Burger King claims to have an accuracy of 85% on all drive-through orders, test the claim at the 0.05 levels of significance.