P(Al hits bottle first time) = 1/3
P(Al misses the first shot but hits on his second shot) =
P( Al misses and bill misses and Al hits) = 2/3 * 3/4 * 1/3 = 1/6
So required probability = 1/3 + 1/6 = 1/2
Answer:
-81 - y
Step-by-step explanation:
To simplify the expression -3[2-(y-5)]-4[3(y+1)-(6-y)(-2)] use order of operations or PEMDAS.
-3[2-(y-5)]-4[3(y+1)-(6-y)(-2)]
-3[2-y+5]-4[3y + 3+12 -2y]
-3[7-y] -12y-12-48+8y
-3[7-y] - 4y - 60
-21 + 3y - 4y - 60
-81 - y
Answer:
(6, - 5 )
Step-by-step explanation:
The parabola is symmetrical about x = 4
The point (2, - 5 ) is 2 units to the left of x = 4 ,then
the point 2 units to the right of x = 4 is (6, - 5 )
Markdown is the amount of money that is subtracted from the original price.
The equation of the line that is perpendicular to the line 3y - 4x = 6 is: c. 4y + 3x = 8.
<h3>How to Determine the Equation of Lines that are Perpendicular?</h3>
The lines that are perpendicular to each other have slope value of their equation, m, that are negative reciprocals of each other or the product of their slopes is equal to -1.
Given the line 3y - 4x = 6, rewrite the equation in slope-intercept form, y = mx + b, and determine the value of m:
3y = 4x + 6
Divide both sides by 3
3y/3 = 4x/3 + 6/3
y = 4/3x + 2
The slope (m) = 4/3.
The slope of the line that would be perpendicular to the line 3y - 4x = 6, will have a slope of -3/4, which is the negative reciprocal of 4/3.
Rewrite 4y + 3x = 8 in slope-intercept form:
4y = -3x + 8
4y/4 = -3/4x + 8/4
y = -3/4x + 2
The slope of 4y + 3x = 8 is -3/4.
Therefore, the perpendicular line is: c. 4y + 3x = 8.
Learn more about perpendicular lines equation on:
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