1. When there are two events that need to happen, we must multiply the probability of each event happening.
Shawn losing to Mike: 5/8 chance
Shawn losing to Tim: 2/7 chance
5/8 × 2/7 = 10/56 = 5/28
There's a 5/28 chance of Shawn losing to Mike and Tim.
I don't know #2, sorry :/
Hope this helps!
Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is
. In particular, the value we are looking for is
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to
.
Answer:
18 ways
Step-by-step explanation:
Number of Meat choices = 3
Number of Vegetable choices = 3
Number of Desserts = 2
Number of ways dinner can be chosen :
Number of meat choices * Number of vegetable choices * number of desserts
3 * 3 * 2
= 18
Hence, dinner can be chosen in 18 different choices.
Answer:
m= -1/4
Step-by-step explanation:
Either to mirror, or to copy.