Math Answers

Geometry                                                                                         

(a) Where in the world do we find some early evidence of geometry? (1)

(b) Approximately to what year does this evidence date back? (1)

(c) Give detail of how geometry was practiced in your example. (2)

(d) Where in the CAPS is this type of geometry covered as a topic? (1)

A group of the following students got the following score in a test:6,9,12,15,and 18.compute the mean of the sample mean

(a) state the null and alternative hypotheses, (b) compute the test

statistic, (c) determine the critical value and sketch the rejection region and non-rejection

region in the normal curve.

1. The cahier of a fast-food restaurant claims that the average amount spent by customers for dinner is

Php 120.00. A sample of 50 customers over a month was randomly selected and it was found out

that the average amount spent for dinner was Php 122.50. Construct the critical regions using a 0.05

level of significance to conclude that the average amount spent by customers is more than Php

120.00. Assume that the population standard deviation is Php6.50.

Given the following information, construct the rejection region. Show the solution in

a step-by-step procedure.

1. H 0 : = 84

H a : 84

m= 87, s= 10, n = 35, "\\alpha" = 0.05

A group of the following students got the following score in a test:6,9,12,15,and18 compute the mean of the sample mean

Determine the second derivative of g(x)=sin(2x³-9x)

H 0 : = 84

H a : 84

= 87, = 10, n = 35, = 0.05

The mean weight of the luggage carried into an airplane by individual passengers at Taguegarao City Airport is 19.8 kilograms. A statistician takes a random sample of 110 passengers and obtain a sample mean weight of 18.5 kilograms with standard deviation of 8.5 kilograms. Test the claim at a=0.01 level of significance.

1.2.Explain how and who came up with these algebraic concepts or used these algebraic concepts deloped over time.

1.2.1 decimal number system

1.2.3 abstract symbol s

1.2.3 negative numbers

1.3 Describe the stages in the development of symbolic algebra. Give at least one example of equation for each of these stages.

Use Green’s Theorem to evaluate

∮C(x − 2y2) dx + (y4 + 2xy) dy where C consists of the line segment

from (0, 2) to (0, 4), followed by the curve with parametric equations x = 4 cos t, y = 4 sin t from (0, 4) to (−2, 2√3), then the line segment from (−2, 2√3) to (−1, √3), and finally the curve with parametric equations x = 2 sin t, y = 2 cos t from (−1, √3) to (0, 2).