Answer:
The 1st Blank is: A pure substance, or simply a substance
The 2nd blank on the left is: Elements
The 3rd blank on the right is: Compounds
The 4th blank which is the second middle one is: A mixture
The 5th blank which is the bottom left one is: Heterogeneous mixture
The 6th blank which is the last one on the bottom right is: Homogeneous mixture
Look at the step-by-step explanation if you get confused at the bottom.
Step-by-step explanation:
The 1st Blank: I would just put a pure substance.
The 2nd blank on the left: They are three characteristics of elements but just put elements.
The 3rd blank on the right: They are three characteristics of compounds but just put compounds.
The 4th blank which is the second middle one is: The characteristics of a mixture but just put a mixture.
The 5th blank which is the bottom left one: Are the characteristics of a heterogeneous mixture but just put heterogeneous mixture.
The 6th blank which is the last one on the bottom right: Are the characteristics of a homogeneous mixture but just put homogeneous mixture.
Answer:
0.2992 = 29.92% probability of obtaining at least 8 failures.
Step-by-step explanation:
For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A success is 5 or 6.
A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:
10 normal six sided dice are thrown.
This means that 
Find the probability of obtaining at least 8 failures.
This is:
So
Then
0.2992 = 29.92% probability of obtaining at least 8 failures.
Answer:
In 6 months (at the fifth month they are equal in price)
Step-by-step explanation:
Set the month as x.
Plan A's equation: 8x + 25
Plan B's equation: 12x + 5
8x + 25 < 12x + 5
Solve.
-4x < -20
x > 5
In 6 months (at the fifth month they are equal in price)
For this case we have the following variables:
x: number of months
f (x): number of caps sold
The function that models the problem is given by:
By the time the store sells 64 caps we have:
From here, we clear the number of months:
Answer:
the store sells 64 caps in 3 monts
A. month 3
