Answer: Option B
Step-by-step explanation:
First we assign a name to the events:
Event S: a customer buys socks
Event H: a customer buys shoes.
We know that :
We also know that the probability of S given that H occurs is:
If two events S and H are independent then:
This mean that if two events S and H are independent then:
We know that:
and
This means that S and H events are dependent.
The answer is the option B
You need to convert the second equation to slope/intercept form. The first equation is in that form already. Then you can compare slopes.
-6x + 8y = 14
8y = 6x + 14
y = (3/4)x + 14/8
SO THE SLOPE IS 3/4 which is the same as slope of equation 1
Therfore they are parallel.
A)4/13 would be the larger number since if you were to try to add them, 4/13 = 40/130 and 3/10 = 39/130, 40/130 > 39/130
B) A rational number between them would be 39.5/130.
Answer:
D. AC ≅ XZ
Step-by-step explanation:
To prove that two triangles are congruent by the Angle-Side-Angle theorem, both triangles must have two corresponding angles that are congruent to each other in each triangle, and also a corresponding included side in each triangle that are congruent.
Thus, we are given that,
<X ≅ <A and <Z ≅ <C, therefore, what is needed is a corresponding included angle in each triangle that are congruent to each other, which are,
AC and XZ
Therefore, what is needed is:
AC ≅ XZ
