Hello,
Question:
Jack popped some popcorn, but 3 of the 150 kernels did not pop.
Determine which popcorn snacks below has the same ratio of unpopped to total kernels as Jack's popcorn.
We Know:
3 out of 150 did not pop
Solution:
3/150 = 3 to 150
Find ratios similar to this one,
4/200
2/100
1/50
So now we know for every kernel that dosent pop there are 50 that did.
Answers:
4 unpopped out of 200 kernels
1 unpopped out of 50 kernels
Answer:
<u><em></em></u>
- <u><em>Event A: 1/35</em></u>
- <u><em>Event B: 1/840</em></u>
<u><em></em></u>
Explanation:
<u>Event A</u>
For the event A, the order of the first 4 acts does not matter.
The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.
Thus, the number of ways that the first <em>four acts</em> can be scheduled is:


And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).
Therefore the<em> probability of Event A</em> is:

Event B
Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.
The number of ways in which <em>four acts </em>can be scheculed when the order matters is:


The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)
Therefore, <em>the probability of Event B</em> is:

The answer to your query is 19.2
Answer:
30 students
Step-by-step explanation:
80% of N = 24 where N is the total number of students
So
.80 N = 24
N = 24 / .80 = 30
sorry this was a late response
For this case we have a function of the form
, where
. We must find the values of "and" according to the following function:
So:

Thus, the values are:
24,8, -12
Answer:
24,8, -12