Math Answers

The weight (x grams) of a rose is assumed to be distrubuted as N (5, 12.4). A rose is selected randomly .find the probability that the weight of randomly selected flower is less than 4 gram

Given the population 3 5 8 9 and 10. Suppose samples of size 3 are drawn from this population

a consider the normal distribution of IQs with a mean of 100 and a standard deviation of 16. What

percentage of IQs are?

a. greater than 95?

b. less than 120

c. between 90 and 110

A division-wide aptitude test in Science was conducted to 1000 pupils. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal distribution. What is the score that divides the distribution into two such that 75% of the cases is below it?

Find the inverse of matrix A given below using the formula A ^-1 =C^T/│A│

A="\\begin{vmatrix}\n -6 & -4 & -4 \\\\\n -1 & -4 & 6 \\\\\\\n-6 & 5 & -1\n\\end{vmatrix}"

Find the derivative of a function using Limit definition of derivative.

y = 4 √x

Find the inverse of matrix A given below using the formula A ^-1 =C^T/│A│

A="\\begin{vmatrix}\n -6 & -4 & -4 \\\\\n -1 & -4 & 6 \\\\\\\n-6 & 5 & -1\n\\end{vmatrix}"

Faculty salaries for a random sample of teacher in the public school system certain town recorded by dividing each salary 1,000 find the m a d and standard deviation of these salaries if the coded observation are 18,15,21,19,13,15,14,23,18 1nd 16pesos

Given functions 𝑓(𝑥) = 6 + √𝑥 − 4 and 𝑔(𝑥) =

10

𝑥−5

. 

Determine the domain and range of 𝑓(𝑥) and 𝑔(𝑥)

Show that ¬p→(q→r) and q→(p ∨ r) are logically equivalent