To graph the line, we must first find out the equation for the line in slope-intercept form (y = mx + b). So far, we only have the slope, so the line's equation is y = 3/4x + b. But, by inserting the values of x and y in the point we know, we can find the y - intercept.
4 = 3/4 + b
b = 13/4
That means that the equation of our line is y = 3/4x + 13/4. Now we can graph. But, there is another way to go about (slightly faster too). Since we know the coordinates of 1 point, we can put that line down. Then, since we know that slope is rise over run, we can say, that with a slope of 3/4, one would go 3 points up for every 4 to the right. Now we can go 3 points up and 4 points to the right of point (1,4). That would be (5, 7). Now we can graph (since we have 2 points, or an equation).
The graph looks like this:
Answer:
{0,1,2,3,4,5}
Step-by-step explanation:
We are given that
Total number of machine parts=300
Number of defective machine parts=10
Total number of good machine parts=300-10=290
Sample contain parts that do not conform to customer requirement=5
X is a random variable which is the number of parts in a sample of 5 parts that do not conform to customer requirements.
We have to find the correct answer.
The sample contain 5 parts
Therefore, the possible values of random variable X
0,1,2,3,4,5
Hence, the range of X is given by
{0,1,2,3,4,5}
Answer:
Step-by-step explanation:
Given
Required
Determine the line equation
First, we calculate the slope (m) using
The equation is then calculated using:
Open bracket
Answer:
640.5 cm^2
Step-by-step explanation:
So the formula for trapezoid is height times the average of the bases. So 25+36=61, and then we divide that by 2 to get 30.5 as our average. Then, we take 30.5 and multiply it by 21 and we get 640.5.
Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom.
