Solve: sergey averages 30 miles per gallon of gasoline in his car. how far can he travel on 13 gallons of gasoline?
1 answer:
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The confidence interval is 
.
We first find the mean. Add together all of the data points and divide by 6, the number of data points; the mean is 77.28.
Next we find the standard deviation. Find the difference between each data point and the mean; square it; find the sum; divide by the number of data points; take the square root. The standard deviation is 3.32.
To find the margin of error, we calculate the z-score associated with this level of confidence. 100-90 = 10% = 0.1; 0.1/2 = 0.05; 1-0.05 = 0.95. Using a z-table (http://www.z-table.com) we see that this is between two scores, 1.64 and 1.65; we will use 1.645.
The margin of error is given by
z * (σ/√n) = 1.645*(3.32/√6) = 2.23.
Thus the confidence interval is 77.28 +/ 2.23.
We first find the mean. Add together all of the data points and divide by 6, the number of data points; the mean is 77.28.
Next we find the standard deviation. Find the difference between each data point and the mean; square it; find the sum; divide by the number of data points; take the square root. The standard deviation is 3.32.
To find the margin of error, we calculate the z-score associated with this level of confidence. 100-90 = 10% = 0.1; 0.1/2 = 0.05; 1-0.05 = 0.95. Using a z-table (http://www.z-table.com) we see that this is between two scores, 1.64 and 1.65; we will use 1.645.
The margin of error is given by
z * (σ/√n) = 1.645*(3.32/√6) = 2.23.
Thus the confidence interval is 77.28 +/ 2.23.
300
divide 9 × by 3 ×
= ×
/
= 3 × = 3 ×
= 300
9514 1404 393
Answer:
8. no, no, yes, yes
9. see attached
Step-by-step explanation:
8. Slope-intercept form is ...
y = mx + b . . . . . . . where m is the slope, and b is the y-intercept
You will notice that y is by itself on the left side of the equation, and that there are two terms: an x-term and a constant.
The first two equations are NOT in slope-intercept form.
The last two equations ARE in slope-intercept form.
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9. The values of 3x-1 and y are the same. They are shown in the attached table.
The corresponding (x, y) pairs are (-2, -7), (-1, -4), (0, -1), (1, 2), (2, 5). In each pair, the x-value (first number) comes from the x-column of the table. The y-value (second number) comes from the f(x)- or y-column of the table.
