A die can have 6 possible outcomes.
The probability of an event is calculated using the formula:

Therefore, the probability of rolling a 1 is gotten to be:

The probability is 1/6.
I'm going to assume that you meant the following:
(x-1)
---------------
x^2-3x+2
Factoring the denominator, we get:
(x-1)
------------
(x-1)(x-2)
Notice that we have x-1 in both the numerator and the denominator. This factor cancels. HOWEVER: x can still not equal 1, which would lead to div. by zero. With the factor x-1 cancelled, we have 1 / (x-2). As x approaches 1 from either side, y approaches 1 / (1-2), or 1 / (-1), or -1. Thus, the limit exists and is -1.
Answer:
D
Step-by-step explanation:
Angle 5 is equal to angle 8 because the two angles are an alternate interior angle. We already know that angle 7 and 8 are supplementary because it's adjacent to each other on a straight line. So, since angle 5 and 8 is equal to each other, angle 5 is also supplementary to angle 7.
Answer: ŷ = 0.07X + 5.2
Step-by-step explanation:
Given the following :
Number of citations 5 - 7.5 - 10 - 15 - 20
Outputs Residuals 3 - - 6 - - 10 - 5 - - 6
Using the online regression calculator :
Line of best fit is represented by the equation:
ŷ = 0.06897X + 5.2069
ŷ = 0.07X + 5.2
From the line equation:
y = mx + c
With 0.07 = slope of gradient(m)
Intercept (c) = 5.2 (point where the line of best fit intersect the y_axis
x and y are values of x and y respectively
To answer this (specifically the first one) you have to count how many spaces each point moves. (How many spaces up/down does it go? Left/right?) then you put rise (up/down) over run (left/right) and you should get the slope!