36.00 will be enough to pay for fuel because if you multiply the 8.8 gallons of diesel needed by the fuel cost per gallon you get 35.112
In order to combine like terms, they have to first be organized. First combine the terms with the variable x, then the terms with no variables.
3x+13.5+5.2x-6
3x+5.2x=8.2x
13.5-6=7.5
The final simplified expression is 8.2x+7.5.
Answer:
Contour lines
Step-by-step explanation:
A series of light brown lines drawn at intervals of 50 feet to designate their respective heights above sea level are called CONTOUR lines, or just contour.
A contour line (also called isoline) is a line that indicates points at the same elevation on the map, showing you a representation of the terrain's elevation (hills, mountains, canyons and so on). You will find those lines on specialized maps, like topographic maps, which are different than road maps.
Answer:
Step-by-step explanation:
The equation of a line can be easily found from the graph. First, find two points on the line that intersect points on the graph, then plot the changes in the two axis in this manner (change in y)/(change in x), or rise/run. Thus, the slope of this line is 5/3. Then, the b in y = mx + b is simply when the line intersects the y-axis, in this case -5. Thus, the equation of the line is
y = -5/3x - 5
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Answer:
The 90% confidence interval using Student's t-distribution is (9.22, 11.61).
Step-by-step explanation:
Since we know the sample is not big enough to use a z-distribution, we use student's t-distribution instead.
The formula to calculate the confidence interval is given by:
Where:
is the sample's mean,
is t-score with n-1 degrees of freedom,
is the standard error,
is the sample's size.
This part of the equation is called margin of error:
We know that:
degrees of freedom 
Replacing in the formula with the corresponding values we obtain the confidence interval:
