Answer:
-3 - 1 = 4/9(-5 - 4)
Step-by-step Explanation:
Point-Slope form uses the formula y-y1=m(x-x1).
m is the slope, which they gave you, so you can substitute it into the formula:
y - y1 = 4/9(x - x1).
They also gave you a first point (-5, -3) So you can substitute the x and y of those into the formula as well.
-3 - y1 = 4/9(-5 - x1)
y1 and x1 are for another point. By drawing a graph and then using the rise and run of the slope (up 4 and over 9), you can get another point (as shown in the picture).
Substitute the x and y values of that point into the equation as well and you have your answer:
-3 - 1 = 4/9(-5 - 4)
The angle between the two tangents drawn from an external point to a circle and the angle subtended by the line segment joining the points of the contact at the Centre are supplymentary,
So,
15.) let the unknown angle be x
=》x + 55° = 180°
=》x = 180° - 55°
=》
16. let the unknown angle be n
=》n + 80° = 180°
=》n = 180° - 80°
=》
Answer:
And solving we got:
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Step-by-step explanation:
For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:
Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes
And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:
And using the probability mass function we got:
And solving we got:
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583