Answer:
Diana approximately had 128 cards
Step-by-step explanation:
Let n be the number of cards Diana had. She knows that
- there are 17 kings among n cards
- 4 kings among 30 cards
Write a proportion:

Cross multiply:

11.424242
isolate the repeating part
11+0.424242
focus on the repeating part
0.42424242
how many places till it repeats again?
2
let's say it is x
x=0.42424242
multiply by 100
100x=42.424242
subtract them
100x-x=42.42424242-0.42424242
the infinite repeats cancel and we get
99x=42
divide by 99

so
Answer:
Binomial distribution
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they purchase a pair of running shoes, or they do not. Customers' purchases are made independently. This means that the probability distribution of X is the binomial probability distribution.
Answer:
0.6
Step-by-step explanation:
0.06 is one-tenth of the number that is 10 times bigger than 0.06.
0.06 * 10 = 0.6
0.06 is one-tenth of 0.6.
Answer:

The farthest point is the Challenger Deep
Step-by-step explanation:
Given


Solving (a): The sea level
Both elevations had signs in front of them.
The sea level is the point at the neutral level, neither positive nor negative.
Hence:

Solving (b): Farthest Point.
The farthest point is the one with the highest magnitude.
Comparing
to 
-35,797 ft has the highest magnitude.
Hence:
<em>The farthest point is the Challenger Deep</em>