Math Answers

Find the probability that of the next 200 children born, (a) less than 40% will be boys, (b) between 43% and 57% will be girls, (c) more than 54% will be boys. Assume equal probabilities for births of boys and girls

Suppose current dividends on a stock are Php10 per shares which remain the same forever at 6.3% growth rate. If the required return rate is 8%, what is the price of the stock?

Solve the linear partial differential equation (D⁴+D'⁴)=0

How many 5 mb mp3 files can be stored on a 1 gb flash drive

use a normal distribution or a t-distribution to construct a 95% confidence interval for the population 

mean. Justify your decision. If neither distribution can be used, explain why.

Interpret the results. If convenient, use technology to construct the confidence interval.

Body Mass Index.

In a random sample of 50 people, the mean body mass index (BMI) was 27.7 and the standard deviation was 6.12. Assume the body mass indexes are normally distributed.

Find the margin of error for the given values of c, s, and n

c=0.90

s=2.9

n=50

Polynomial and rational functions can be used to model a wide variety of phenomena of science, technology, and everyday life.

Go to www.desmos.com/calculator, write your equation, or function, and develop your explanation using the properties of graphs.

Your Discussion should be a minimum of 250 words in length and not more than 750 words

Is (3x4)/5²+(5x6)/7²+(7x8)/9² +..... series convergence or not

1.      Use Gaussian elimination to solve the system of linear equations

300x₁ 112x₂ 109x₃ = 521

252x₁ 156x₂ 330x₃ =738

108x₁ -123x₂ 121x₃ =106

2.     Solve the following system linear equations by Gauss Jordan Method

x +y +z = 5

2x +3y +5z = 8

4x + 5z = 2

b) Persons who visit the restroom of a certain fast-food outlet were asked to state their opinion of the quality of the restroom facilities, The following tables show the responses from a sample of 100 persons. Gender of Respondent Totals Male Female Quality of Facilities Above Average 8 7 15 Average 26 24 50 Below Average 7 28 35 Totals 41 59 100 A 𝜒 2 test is carried out to determine whether there is an association between the gender of persons and their opinion. i) State appropriate null and alternative hypotheses [2] ii) Determine the critical region of the test at the 1% level of significance [1] iii) Calculate the expected value for Male and below average [2] iv) For a test statistic of 9.825, explain with reason, the conclusion of your test. [