<u>Answer:</u>
5, 7
<u>Step-by-step explanation:</u>
The mode of the numbers is 5, which means that 5 should be the most common card (highest frequency). Therefore the cards should have at least one more 5 among them.
Considering that 5 is one of the hidden cards and x is the other,
• Using the equation for the mean:
⇒
⇒
This means 5 and 7 are the hidden cards.
Step-by-step walkthrough:
a.
Well a standard half-life equation looks like this.
is the starting amount of parent element.
is the end amount of parent element
is the time elapsed
is a half-life decay period
We know that the starting amount is 74g, and the period for a half-life is 2.8 days.
Therefore you can create a function based off of the original equation, just sub in the values you already know.
b.
This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.
c.
Now we just gotta do some algebra. Use the original function but this time, replace with 10g and solve algebraically.
Take the log of both sides.
Use the exponent rule for log laws that,
slap that in your calculator and you get