A can of soda in 1972 costs $0.15, by 2012 it cost $1.35 find the rate at which the cost of a can of soda increases over this ti
1 answer:
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Answer:
Step-by-step explanation:
Hello!
The variable of interest is X: flexural strength of concrete beams.
Data:
7.3 6.8 8.6 9.7 11.6 9.7 6.8 7.7 11.8 7.4 8.1 8.7 6.3 7.9 7.0 7.9 7.8 6.5 6.3 7.0 7.5 7.7 7.2 11.3 9.0 10.7 5.1
a.
The point estimate of the mean value is the sample mean. You calculate it using the following formula:
X[bar]= ∑X/n= 219.40/27= 8.1259≅ 8.13
b)x
b.
The point estimate that divides the sample in 50%-50% is the measure of central tendency called Median(Me).
To reach the median you have to calculate it's position (PosMe)
For uneven samples PosMe= (n+1)/2= (27+1)/2= 14 ⇒ This means that the Median is the 14th observation of the data set.
So next is to order the data from lower to heighest and identify the value in the 14th position:
5,1 ; 6,3; 6,3; 6,5 ; 6,8; 6,8; 7; 7; 7,2; 7,3; 7,4 ; 7,5 ; 7,7 ; 7,7 ; 7,8 ; 7,9 ; 7,9 ; 8,1 ; 8,6 ; 8,7 ; 9 ; 9,7 ; 9,7 ; 10,7 ; 11,3 ; 11,6 ; 11,8
Me= 7.7
d) x tilde
c.
The point estimate of the population standard deviation is the sample standard deviation. The standard deviation is the square root of the variance, so the first step is to calculate the sample variance:
∑X²= 1858.92
S= √2.926= 1.71
The standard deviation is a measurement of variability, it shows how to disperse the data is concerning the sample mean.
d. This estimate describes the spread of the data.
I hope it helps!
Answer:
The system of inequalities is
Step-by-step explanation:
step 1
Find the equation of the dashed line with negative slope
The line passes through the points
(0,-2) and (-2,0)
Find the slope
Find the equation of the line in slope intercept form
we have
substitute
The solution of the inequality is the shaded area below the dashed line
therefore
The equation of the inequality A is
step 2
Find the equation of the dashed line with positive slope
The line passes through the points
(0,0) and (4,1)
Find the slope
Find the equation of the line (direct variation)
we have
substitute
The solution of the inequality is the shaded area above the dashed line
therefore
The equation of the inequality B is
therefore
The system of inequalities is