Answer:
Part 1) The new distance from the water to the top of the tank is 
Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95
Step-by-step explanation:
step 1
Find the total volume of the tank
step 2
Find the volume of the tank if the water level is two inches below the top of the tank
step 3
Find the volume of the glass sphere
The volume of the glass sphere is equal to
we have
assume
substitute
step 4
What is the new distance from the water to the top of the tank?
we know that
so
using proportion
Find how many inches correspond a volume of 
The new distance from the water to the top of the tank is
step 5
Find how many of these balls can be put into the tank with the tank not overflowing
we know that
The volume of one ball is equal to
using proportion
therefore
The maximum number of balls that can be put into the tank with the tank not overflowing is 95
If triangle MNO is congruent to triangle PQR then side OM is congruent to side RP and equals 9
The answer to 47/40 as a percentage is 94%
Answer:
A. negative correlation
Step-by-step explanation:
Let two variables x and y, the correlation coefficient r measure to what degree the variables x and y are related.
--- If this coefficient is positive then the relationship will be positive. This means that even an increase in the variable x will produce an increase in the variable y. In the dispersion diagram the points will be grouped, simulating a line of positive slope.
--- If this coefficient is negative then the relation will be negative. This means that even an increase in the variable x will produce a decrease in the variable y. In the dispersion diagram the points will be grouped, simulating a negative slope line.
In the diagram shown it can be noted that as the variable x increases the variable y decreases.
Therefore it can be concluded that the correlation between x and y is negative. The correct option is option A
We have been given that Judy’s brother Sam has a collection of 96 comic books.
We have been asked to find the 10 ways Sam could divide his comic books into equal groups.
This can be done as follows:
96 can be written as .
Thus, we can either have 2 groups of 48 comics or 48 groups of 2 comics. As we can see we have 2 ways to divide the comic books in equal groups.
Likewise, 96 can also be written as . Here, we can similarly see that we can either have 3 groups of 32 comics or 32 groups of 3 comics. As we can again see we have 2 more ways to divide the comic books in equal groups, taking the total number of ways to 4.
Continuing in this manner we will see that we can have 4 groups of 24 or 24 groups of 4, 6 groups of 16 or 16 groups of 6 and lastly 12 groups of 8 or 8 groups of 12 comic books, thus taking the count to a total of 10 ways in which Sam can divide his comic books into equal groups.
