Prove the following

ringearV
2021-10-17
Answered

Prove the following

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stuth1

Answered 2021-10-18
Author has **97** answers

Step 1

Empirical Rule :

The empirical rule is used for forecasting final outcomes. After calculating the standard deviation and before collecting exact data, this rule can be used as a rough estimate of the outcome of the impending data to be collected and analyzed.

Approximately

approximately

Step 2

One of the most necessary and sufficient condition for Empirical Rule are that the data distribution must be approximately bell-shaped and that the percentages are only approximately true.

The Empirical Rule does not apply to data sets with severely asymmetric distributions, and the actual percentage of observations in any of the intervals specified by the rule could be either greater or less than those given in the rule.

asked 2021-01-31

For tests using a ballistocardiograph, a patient lies on a horizontal platform that is supported on jets of air. Because of the air jets, the friction impeding the horizontal motion of the platform is negligible. Each time the heart beats, blood is pushed out of the heart in a direction that is nearly parallel to the platform. Since momentum must be conserved, the body and the platform recoil, and this recoil can be detected to provide information about the heart. For each beat, suppose that 0.050 kg of blood is pushed out of the heart with a velocity of +0.30 m/s and that the mass of the patient and the platform is 85 kg. Assuming that the patient does not slip with respect to the platform, and that the patient and the platform start from rest, determine the recoil velocity.

asked 2020-12-21

Which of the following is a correct comment?

*/ Comments */

** Comment **

/* Comment */

{ Comment }

Which of the following is not a correct variable type?

float

int

real

double

*/ Comments */

** Comment **

/* Comment */

{ Comment }

Which of the following is not a correct variable type?

float

int

real

double

asked 2021-01-05

A 0.48 kg piece of wood floats in water but is found to sinkin alcohol (specific gravity= 0.79) in which it has an apparentmass 0.035 kg. What is the SG of the wood?

asked 2021-02-21

A small block with mass m is placed inside an inverted conethat is rotating about a vertical axis such that the time for onerevolution of the cone is T. the walls of the cone make an angle Bwith the vertical. The coefficient of static friction betweenthe block and the cone is ?. Draw a free body diagram.If the block is to remain a constant height h above the apex of thecone, what are the maximum and minimum values of T?

asked 2022-07-03

Finding $\mathrm{cot}(\frac{\pi}{12})$

Given:

$\mathrm{cot}(\theta -\varphi )=\frac{\mathrm{cot}\theta \mathrm{cot}\varphi +1}{\mathrm{cot}\theta -\mathrm{cot}\varphi}$

And:

$\mathrm{cot}\frac{\pi}{3}=\frac{1}{\sqrt{3}};\mathrm{cot}\frac{\pi}{4}=1$

$\frac{\frac{1}{\sqrt{3}}(1)+1}{\frac{1}{\sqrt{3}}-1}$

$\frac{1+\sqrt{3}}{1-\sqrt{3}}$

Given:

$\mathrm{cot}(\theta -\varphi )=\frac{\mathrm{cot}\theta \mathrm{cot}\varphi +1}{\mathrm{cot}\theta -\mathrm{cot}\varphi}$

And:

$\mathrm{cot}\frac{\pi}{3}=\frac{1}{\sqrt{3}};\mathrm{cot}\frac{\pi}{4}=1$

$\frac{\frac{1}{\sqrt{3}}(1)+1}{\frac{1}{\sqrt{3}}-1}$

$\frac{1+\sqrt{3}}{1-\sqrt{3}}$

asked 2022-04-23

If $A+B+C={180}^{\circ},\mathrm{cot}A=2$ and $\mathrm{cot}B=\frac{3}{4}$ , what is $\mathrm{sin}C$ ?

asked 2021-09-12

In these problems you are asked to find a function that models a real-life situations. Use the principle of modeling described in this Focus to help you.

Radius Find a function that models the radius r of a circle in terms of its area V.

Radius Find a function that models the radius r of a circle in terms of its area V.