Answer: 0.6763 cm∧2
Step-by-step explanation: Variance is one of the measures of dispersion which is the the second central moment in probability. It is defined as a measure of by how much the values in a data set differs from the mean of the values. Thus it is the average of the squares of the deviations from the mean as this ensures that both the negative and positive deviations do not cancel each other out.
The sample variance would be calculated as follows:
Population size is 7 (5.6 4.9 6.0 5.1 5.5 5.1 7.5)
Mean: Sum of samples / population size ;
(5.6 4.9 6.0 5.1 5.5 5.1 7.5) / 7 = 5.67
Applying the formula for variance: [ Summation (x - mean) ] / population size =( |5.6 - 5.67| + |4.9 - 5.67| + |6.0 - 5.67| + (|5.1 - 5.67|) * 2 + | 5.5 - 5.67| + |7.5 - 5.67|) / 7 = 0.6763 cm^2
<h2>
Dimensions of enlargement is height is 16 inch and width is 12 inch.</h2>
Step-by-step explanation:
A picture has a height that is 4 / 3 its width.
Let h be the height and w be the width.
Given that
Area of picture is given by 192 inch²
A = 192 inch²
h x w = 192
Dimensions of enlargement is height is 16 inch and width is 12 inch.
Y-intercept of f(x) is a value of function for x = 0.
y = 6^x ⇒ f(x) = 6^x
f(0) = 6^0 = 1
Answer: (0; 1)
