Answer:
a=7/2
Step-by-step explanation:
a^2-2a+2a-4-a^2+2a+3a+6=3a+9
You want to solve for "a"
1. Mover all terms on the right side to the left side setting this equation to zero.
2. Combine Like Terms
3. Divide to isolate your "a"
<span>3x - 2y + 2y > -14 + 2y </span>
<span>3x + 0 > -14 + 2y </span>
<span>3x > -14 + 2y </span>
<span>3x + 14 > -14 + 14 + 2y </span>
<span>3x + 14 > 0 + 2y </span>
<span>3x + 14 > 2y </span>
<span>(3x + 14)/2 > 2y/2 </span>
<span>(3x + 14)/2 > y*(2/2) </span>
<span>(3x + 14)/2 > y*(1) </span>
<span>(3x + 14)/2 > y </span>
<span>y < (3x + 14)/2 </span>
<span>y < 3x/2 + 14/2 </span>
<span>y < 3x/2 + 7 </span>
<span>y < (3/2)*x + 7 </span>
<span>“y” is LESS THAN (3/2)*x + 7 </span>
<span>the slope intercept form of the inequality is: y < (3/2)*x + 7 </span>
<span>STEP 2: Temporarily change the inequality into an equation by replacing the < symbol with an = symbol. </span>
<span>y < (3/2)*x + 7 </span>
<span>y = (3/2)*x + 7 </span>
<span>STEP 3: Prepare the x-y table using the equation from Step 2. </span>
<span>Using the slope intercept form of the equation from Step 2, choose a value for x, and then compute y for at least three points. </span>
<span>Although you could plot the graph with just two sets of x-y coordinates, you should compute at least three different sets of coordinates points to ensure you have not made a mistake. All three x-y coordinates must lie on the same straight line. If they do not, you have made a mistake. </span>
<span>You can choose any value for x. </span>
<span>For example, (arbitrarily) choose x = -2 </span>
<span>If x = -2, </span>
<span>y = (3/2)*x + 7 </span>
<span>y = (3/2)*(-2) + 7 </span>
<span>y = 4 </span>
Answer:
The probability that 12 people in your sample are carrying no cash is 0.0712
Step-by-step explanation:
n = 100
p(no cash) = 0.09
x = 12
By applying binomial distribution
P(x,n) = nCx*px*(1-p)(n-x)
P(x = 12) = 0.074.
The probability that 12 people in your sample are carrying no cash is 0.074.
n = 100
p(less than 50) = 0.78
x = 75
By applying binomial distribution
P(x,n) = nCx*px*(1-p)(n-x)
P(x = 75) = 0.0712
The probability that 12 people in your sample are carrying no cash is 0.0712
