Math Answers

a researcher investigated the relationship between monthly income and years of service in a company. using the data from 20 workers, the computed correlation coefficient was found to be 0.25. is the computed r significant at 0.05 level of significance? 

A researcher investigated the relationship between monthly income and years of service in a company.

Using the data from 20 workers, the computed correlation coefficient was found to be 0.25. Is the 

computed r significant at 0.05 level of significance?

Read and analyze the following situations and supply the values of the following variables (if

there is any). On the third column, write known on the space provided if the situation gives

or can compute the value of the variance, otherwise write unknown. Identify also the formula

to be used to estimate the standard error of the mean by writing the symbols of, when the

population variance is known and sawhen the population variance is unknown,

Situation:

Consider a population consisting of 1, 2, 3, 4, 5, 8,

9, and 11. Samples of size 3 are drawn from this

population.

•Given: N=

n=

•Answer:

•Standard Error Formula:

A conical vessel has a height of 24 cm and a base diameter of 12cm. It holds water to a depth of 18 cm above its vertex. Find the volume in cubic cm of its content.

How to simplify (2x3)3

ACTIVITY IN BASIC CALCULUS

BASIC RULES IN DERIVATIVE

Name: ____________________ Grade & Section: _______________ Date: __________

  Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.

 1. f (x) = -₄x⁵ +___x^-4 - 2468

2. f (x) =____x^-3 - ____x^1/4 - 12x

3.f (x) =____"\\sqrt[4]{x}" ³ - "\\xlongequal{x}"

 4. ( )

√

The temperature at a point is given by T = xyz. Find the average temperature in the cube

with opposite corners at (0,0,0) and (2,2,2).

Determine the average value of F(x, y, z) = xyz throughout the cubical region D

bounded by the coordinate planes and the planes x = 2, y − 2, z = 2 in the first octant.

ACTIVITY IN BASIC CALCULUS

BASIC RULES IN DERIVATIVE

  Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.

1. f(x) = -₄x⁵ + ______x^-4- 2468

2. f (x) =____x^-3- _____x^1/4 - 12x

3.f(x)= ____ "\\sqrt[4]{x}" ³ - "\\xlongequal{}"

4.f (x) = "\\xlongequal{}" - _____x² + "\\sqrt[4]{x}"

Find the volume of the region bounded above by the plane z = y/2 and below by the

rectangle.

R ∶ 0 ≤ x ≤ 4,0 ≤ y ≤ 2