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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?
Read more about z-score at; brainly.com/question/25638875
The projected population size in 2030 will be : ≈ 44159
First step : determine the population growth rate
Gr = change in population / time
= ( 1500 - 1100 ) / 1 year
= 400 = 36%
<h3>Determine the projected population size </h3>
applying Malthus's population projection.
Pp = P₁ ( 1 + r )ⁿ
where ; P₁ = 1500, r = 0.36 , n = ( 2030 - 2019 ) = 11 years
Pp = 1500 ( 1 + 0.36 )¹¹
= 1500 ( 29.439 )
= 44158.5 ≈ 44159
Hence we can conclude that the projected population size as at 2030 is 44159
Learn more about projected population : brainly.com/question/25896797
Answer: 47 Types of Bodies of Water.
Explanation:
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The atomic number is defined by the number of protons in an element. An element is defined by the number of protons the nucleus contains and doesn't have anything to do with how many isotopes the element has. Carbon always has an atomic number of 6 and uranium always has an atomic number of 92. I GOTCHU BROOOO GET THATS A BUDDY
