In what quadrant is the point (1,2) on?
2 answers:
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Answer:
The number of observations in the data set expected to be between the values 91 and 121 is of 2853.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 101, Standard deviation = 10
Percentage of of observations in the data set expected to be between the values 91 and 121.
91 = 101 - 10
So 91 is one standard deviation below the mean.
121 = 101 + 2*10
So 121 is two standard deviations above the mean
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
Of those 50% below the mean, 68% are between one standard deviation below the mean(91) and the mean(101).
Of those 50% above the mean, 95% are between the mean(101) and two standard deviations above the mean(121).
So the percentage of observations in this interval is of:
Number of observations in the interval
81.5% of 3500. So
0.815*3500 = 2853
The number of observations in the data set expected to be between the values 91 and 121 is of 2853.
Actually Welcome to the Concept of the linear equation in two variables.
So we have to form two equations to solve this.
Let the number of children be 'x' and number of adults be 'y'.
hence, we get as,
x+y = 630 ..... (1)
and also, to their total cost spending, we get as,
1.5x + 2.25y = 1170 ...... (2)
solving (1) and (2) we get as,
Number of children were = 330
and Number of Adults were = 300
(Solved in the attachment)
