First set up the equation 12x-7=4x+9
Get all the x's on one side and number on one side so you have 8x= 16
You get X=2
The proportion of buses traveling more than 900 miles would be 0.0485; multiply this by the total number of buses and you will have your answer.
We find the z-score associated with 900 miles:
z = (X - μ)/σ = (900-830.11)/42.19 = 1.66
Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of this, less than this, is 0.9515. This means that the area under the curve to the right of this, greater than this, would be 1-0.9515 = 0.0485.
Answer:
y=−x/2+2.
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=2x−5.
The slope of the perpendicular line is negative inverse: m=−12.
So, the equation of the perpendicular line is y=−x/2+a.
To find a, we use the fact that the line should pass through the given point: 3=(−12)⋅(−2)+a.
Thus, a=2.
Therefore, the equation of the line is y=−x/2+2.
<h3>Answer:</h3>
- white : brown = 8 : 5
- black : total = 6 : 23
<h3>Explanation:</h3>
Each of the ratio components (white socks, brown socks, black socks, total socks) has an associated number (8, 5, 6, 23). Write the desired ratio using the associated numbers.