Answer:
In point slope form, this is y = (-5/2)x + 2. In standard form, it's (5/2)x + y = 2.
Step-by-step explanation:
y-6=-5/2 (x+4) has already been written in point-slope form. The slope of the line is -5/2 and the point on the line is (-4,6).
In slope-intercept form: add 6 to both sides of the original equation, obtaining y = 6 - (5/2)(x + 4), or y = 2 - (5/2)x, or y = (-5/2)x + 2
<h2>
Answer:</h2>
The number is -2.
<h2>
Step-by-step explanation:</h2><h3>Written out, our equation looks like this:</h3><h3>(-5·x)+2=12</h3>
We'll start of by taking our final result of 12 and subtracting 2, as the beginning of the statement says "two more."
<h3>12 minus 2 gives us
10.</h3>
Now, since the statement says "the product of -5," we will take this 10 and divide by -5.
<h3>10 divided by -5 gives us -2.</h3>
This means that our number, x equals -2. Of course, we must input this solution to double check our work.
<h3>(-5·<u>
-2</u>)+2=12</h3><h3>10+2=12</h3><h3>12=12</h3>
<h2>Our final answer is x=-2!</h2>
Kristen completed 42 km. We will imagine that she ran all 6 hours. => 9 * 6 =54 km which is more than she actually completed. So we will find a 9 Multiple less than 42 km and that will be 36 km. (9 * 4 = 36 km completed by running) and the rest until 42 were completed by walking (3 * 2 = 6; 6 + 36 =42).
Answer:
0.619
Step-by-step explanation:
from the question we have the following data:
probability of motor 1 breaking = 65% = 0.65
probability of motor 2 breaking = 35% = 0.35
probability of motor 3 breaking = 5% = 0.05
since we have 3 motors the probability of any of them breaking down is = 
but what the question requires from us is the conditional probability of the first one being installed
we have to solve this questions using bayes theorem
such that:

= 
= 
= 0.618966
approximately 0.619
therefore the conditional probability ralph installed the first motor is 0.619
Answer:
the answer is b
Step-by-step explanation:
35 occurs the most on the graph meaning that it's the mode