Tree diagrams display all the possible outcomes of an event. Each branch in a tree diagram represents a possible outcome. Tree diagrams can be used to find the number of possible outcomes and calculate the probability of possible outcomes.
the answer is a map to career pathways
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:
neck strain
Explanation:
due to twisting the neck to talk and looking at the screen
