Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, use the slope formula 
to find the slope of the line. Substitute the x and y values of the given points into the formula and solve:
So, the slope is 
.
2) Now, use the slope-intercept formula 
to write the equation of the line in slope-intercept form. All you need to do is substitute real values for the 
and 
in the formula.
Since represents the slope, substitute for it. Since represents the y-intercept, substitute 3 for it. (Remember, the y-intercept is the point at which the line hits the y-axis. All points on the y-axis have an x-value of 0. Notice how the given point (0,3) has an x-value, too, so it must be the line's y-intercept.) This gives the following equation and answer:
8 goes into 74 nine times but there is a remainder of 2
9 and a remainder of 2 or 9 and 1/4
Answer:
The probability that X is less than 32 minutes is 0.736.
Step-by-step explanation:
Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.
To find : What is the probability that X is less than 32 minutes?
Solution :
If X has an average value of 24 minutes.
i.e. 
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
The exponentially function is 
The function form according to question is
The probability that X is less than 32 minutes is
Therefore, the probability that X is less than 32 minutes is 0.736.
ANSWER:
STEP-BY-STEP EXPLANATION:
We have that the equation in its slope-intercept form is the following:
The slope can be calculated as follows:
We use the points (4,7) and (1,1) to calculate the slope:
Now, we calculate the value of b, using the point (1,1) and the slope, like this:
Therefore, the equation would be:
Answer:
The standard form of the line is 10x + 3y = 10
Step-by-step explanation:
First we need to find the slope of the equation, which we can do using the slope equation and the two points given: (3, 0) and (0, 10)
m(slope) = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 -3)
m = 10/-3
Now we can write the equation in slope intercept form since we have the slope and the intercept.
y = mx + b
y = -10/3x + 10
Now we can manipulate the equation to get the standard form.
y = -10/3x + 10
10/3x + y = 10
10x + 3y = 30
