Answer:
y = -2x + 3
Step-by-step explanation:
[]Let us write an equation in slope-intercept form.
-> See attached
-> Our equation will start out as y = x
[] The slope can be found by taking the change in y divided by the change in x
-> 
-> Now our equation is y = -2x
[] The y-intercept, or b, can be found by plugging a point given to us into the equation we have so far.
-> y = -2x + b
(1) = -2(1) + b
1 = -2 + b
3 = b
-> Now our equation is y = -2x + 3, which is our final answer.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
The answer to the question is;
The number of papers expected to be handed in before receiving each possible grade at least once is 14.93.
Step-by-step explanation:
To solve the question , we note that it is a geometric distribution question which have equal probabilities and therefore is a form of Binomial distribution with Bernoulli trials, where we are conducting the trials till we have r successes
Since we have r = 6, we will have to find the expected value of the number of trials till the nth paper handed in receives a previously awarded grade.
We therefore have,
The Probability that out of six papers turned 5 are different scores is given by
P(Y=5) = p'= q⁵p = (1-p)⁵p = 3125/46656
Therefore p' = the probability of receiving different grades once then the expected value is given by
E(X) = 1/p' = 46656/3125 = 14.93.
Answer:
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Area of rectangle = 108 ft²
L = 2W + 6
To find the length and width of the wall of the barn;
Answer:
x = 41 , y = 139
Step-by-step explanation:
x and 41° are alternate exterior angles and are congruent , so
x = 41
x and y are a linear pair and sum to 180° , that is
x + y = 180
41 + y = 180 ( subtract 41 from both sides )
y = 139
