ali drove 268 miles using12 gallons of gas at this rate how many miles would he drive using 9 gallons of gas
1 answer:
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Answer:
Step-by-step explanation:
We need to sum the following two expressions:
expanding the polynomial in the numerator:
This is the most simplified form we can get:
The hypotenuse is 82 centimeters long.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have the equation of the line in point slope form
where
the point is (5,5)
the slope is m=1/5
Remember that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
so
<em>To graph the line</em>
1. Plot the point (5,5).
2. From that point, count right 5 units and up 1 unit and plot a second point.
3. Draw a line through the two points
so
The new point is (5+5,5+1) ----> (10,6)
Plot the points (5,5) and (10,6) and draw a line through the two points
The graph in the attached figure
Answer:
84.13% of bottles will have volume greater than 994 mL
Step-by-step explanation:
Mean volume = u = 1000
Standard deviation = = 6
We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.
x = 994
Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:
Substituting the values, we get:
This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.
i.e. P(z > -1)
From the z-table this value comes out to be:
P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:
P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%