Answer:
0.7486 = 74.86% observations would be less than 5.79
Step-by-step explanation:
I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The general format of the normal distribution is:
N(mean, standard deviation)
Which means that:

What proportion of observations would be less than 5.79?
This is the pvalue of Z when X = 5.79. So



has a pvalue of 0.7486
0.7486 = 74.86% observations would be less than 5.79
Answer:
Step-by-step explanation:
ok. you said 2000 and 2500 so I'll just solve for both.
this is very simple, mis/mia wants to earn 2000/2500 so let's solve
this can be done two ways. an equation way, or a dividing way. I personally like the dividing way.
2000 divided by 55= 36.36-- so she will have to tune up 37 bicycles
2500 divided by 55= 45.45-- so she will have to tune 46 bicycles. this is because 46 bicycles, times the amount of money == just a little over 2500 so she has reached her goal
Answer:
The function of capita GDP is given by

where G(t) is in dollar and t is years after 1950.
Step-by-step explanation:
Given that,
in 1950, the per capita GDP of Australia was $1800.
The capita GDP is increased by 6.7 % per year.
In 1951, the capita GDP was increased =6.7% of $1800
The capita GDP was= $1800+ 6.7% of $1800
=$1800(1+6.7%)
In 1952, the capita GDP was increased =$1800(1+6.7%)
The capita GDP was=$1800(1+6.7%)+ 6.7% of$1800(1+6.7%)
=$1800(1+6.7%)(1+6.7)
= $1800(1+6.7%)²
=$1800(1+0.067)²
In 1952, the capita GDP was increased =$1800(1+6.7%)²
The capita GDP was=$1800(1+6.7%)²+ 6.7% of$1800(1+6.7%)²
=$1800(1+6.7%)²(1+6.7)
= $1800(1+6.7%)³
=$1800(1+0.067)³
and so on.
The function of capita GDP is given by

where G(t) is in dollar and t is years after 1950.
3 is less than 9 there fore 3.69 os smaller than 9.63