All these cases represent experiments whose outcomes are all equaly likely. What we mean is that the cards have all the same probability of being dealt (1/52), and all the spaces of the spinner have the same probability of being landed into (1/5).
These probabilities are computed as 1 over all the possible outcomes.
(a) If you want a heart card and a five, you want the 5 of hearts. So, only one card would satisfy your request, and thus you have probability 1/52 of dealing the 5 of hearts.
(b) There are four 10s and four Jacks in the deck, so 8 cards satisfy your request. With probability 8/52, you'll be dealt a Jack or a 10.
(c) You have two "good" outcomes out of 5, so your probability is 2/5.
Answer: 50%
Step-by-step explanation:
Let x = Total dishes.
Dishes from China = 
Dishes from Japan = 
Total dishes from China and Japan = 
Dishes from other countries 
Percent of dishes from other countries= 
Hence, dishes from other countries = 50%
Given:
A line segment with initial point (–5, 3) and terminal point (1, –6).
To find:
The set of parametric equations over the interval 0 ≤ t ≤ 1 which defines the given line segment.
Solution:
Initial point is (–5, 3). So,
Terminal point is (1, –6).
Check which of the given set of parametric equations satisfy 
.
Put t=1 in each set of parametric equations.
In option A,
So, option A is incorrect.
In option B,
So, option B is incorrect.
In option C,
Put t=0, in this set of parametric equations.
So, option C is correct.
In option D,
So, option D is incorrect.
Answer:
1. 11:16
2. 13:14
3. 13:4
4. 2:23
5. 5:3
6. 8:13
Step-by-step explanation:
Some answers are reduced to the point that prime numbers can't be reduced, hopefully this helps ^^
