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
Answer:
<em>Answer</em><em> is</em>
<em>3</em><em>x</em><em>√</em><em>5</em><em> </em>
<em>=</em><em> </em><em>(</em><em>3</em><em>)</em><em> </em><em>(</em><em>x)</em><em> </em><em>(</em><em>√</em><em>5</em><em>)</em>
<em>=</em><em> </em><em>(</em><em>x)</em><em> </em><em>(</em><em>3</em><em>)</em><em> </em><em>(</em><em>√</em><em>5</em><em>)</em>
Answer:
The pressure exerted on the table due to the book is 200 N/m².
Explanation:
The pressure exerted on the table due to the book is 200 N/m².
The given parameters;
mass of the book, m = 400 g = 0.4 kg
dimension of the table, = 0.10m x 0.20 m.
gravitational field strength g = 10 N/kg.
The area of the table is calculated as follows;
A = 0.1 x 0.2 = 0.02 m²
The pressure exerted on the table due to the book is calculated as follows; where;
F is the force of the book due to its weight
Thus, the pressure exerted on the table due to the book is 200 N/m².
The suggested number of sleep hours for teens is between 8 to 10 hours daily.
<h3>
Sleeping hours of teens</h3>
This is the estimated time in which teens are expected to sleep or have full rest.
The average estimated time of sleep hours for teens is between 8 to 10 hours. This may vary according to health condition of individuals.
Thus, the suggested number of sleep hours for teens is between 8 to 10 hours daily.
Learn more about sleeping time here: brainly.com/question/20555693
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Answer:
B)x^3
Explanation:
Given,
(x^8)/(x^2)=y^12
We can simplify the following by bringing the (x^2) above the division line which makes the power negative.
(x^8)*(x^-2)=y^12
or,(x^(8-2))=y^12
or,x^6=y^12 .........(1)
The question is, (y^8)/(y^2)=
Simplifying the question,
(y^(8-2))
or,y^6
Now,from ...(1),
x^6=y^12
or,(x^3)^2=(y^6)^2
Removing the squares,
x^3=y^6
Thus,we get the answer of the question,
(y^8)/(y^2)=y^6=x^3
