The least weight of a bag in the top 5 percent of the distribution is; 246
From the complete question below, we are given;
Population mean; μ = 240
Population standard deviation; σ = 3
Z-score formula is;
z = (x' - μ)/σ
- Now, we want to find the least weight in the top 5 of the distribution and as such we will use;
1 - 0.05/2 = 0.025 as significance level
Z-score at significance level of 0.025 is 1.96
Thus;
1.96 = (x' - 240)/3
3 × 1.96 = x' - 240
x' = 240 + 5.88
x' = 245.88
Approximating to a whole number gives;
x' = 246
Complete question is;
A machine is used to fill bags with a popular brand of trail mix. The machine is calibrated so the distribution of the weights of the bags of trail mix is normal, with mean 240 grams and standard deviation 3 grams. Of the following, which is the least weight of a bag in the top 5 percent of the distribution?
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The statement about synonyms which is correct is: Synonyms are words with the same connotative meanings.
What is a synonym?
A synonym can be defined as a word that has the same connotative meaning with another word or group of words.
This ultimately implies that, synonyms are group of words that are having exactly the same meaning and as such can be used interchangeably.
In English language, some example of synonyms include the following:
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The word that best describes the tone of the excerpt is : ( C ) Methodical
<h3>What is methodical procedure ?</h3>
Methodical procedure describes the sequential procedure in which a system of actions is been followed usually computer systems or other forms as seen in the excerpt.
Hence we can conclude that the word that best describes the tone of the excerpt is methodical.
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<u>Attached below is the missing excerpt </u>
<em>I knew I could never let Mom hear the messages, because protecting her is one of my most important raisons d’être, so what I did was I took Dad’s emergency money from on top of his dresser, and I went to the Radio Shack on Amsterdam. It was on a TV there that I saw that the first building had fallen. I bought the exact same phone and ran home and recorded our greeting from the first phone onto it. I wrapped up the old phone in the scarf that Grandma was never able to finish because of my privacy, and I put that in a grocery bag, and I put that in a box, and I put that in another box, and I put that under a bunch of stuff in my closet, like my jewelry workbench and albums of foreign currencies. </em>
The importance of improving agricultural productivity for the industrialization of economic production in Europe in the period from 1750 to 1900 is that as less labor was needed on farms, more people moved to urban areas to work in factories.
<h3 /><h3>First Industrial Revolution</h3>
It began in England in 1760, a period in which the transition from the feudal to the capitalist system took place. This transition occurred due to the technological development in Europe, which generated several economic and social transformations in the world.
Therefore, the impacts of the Industrial Revolution are related to the productive processes, which ceased to be artisanal to be developed in factories with the use of machines, thus emerging new working relationships.
The correct answer is:
- Because less labor was needed on farms, more people moved to urban areas to work in factories.
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