Explanation
Let's first graph the elements:
Using the distance formula we get:
This number is natural, whole, integer, and rational.
Whole numbers are numbers such as 0, 1, 2, ... This is a whole number.
Natural numbers can also be counting numbers. They are the whole numbers, but starting at 1, not 0. This is a natural number.
Integers are whole numbers with negatives. This is an integer.
Rational numbers are any numbers that can be written as a fraction. We can write this as 4563/1, so it is rational.
Answer:
A. no, not independent
Step-by-step explanation:
Let A = "father born in Michigan" and B = "mother born in Michigan".
If A and B are independent, then ...
P(A|B) = P(A)
The table tells us ...
P(A|B) = P(A&B)/P(B) = 0.29/0.73 ≈ 0.397
and
P(A) = 0.48
Since 0.48 ≠ 0.397, we must conclude that the events are not independent.
Answer:
22 3/4 ft
Step-by-step explanation:
The diagram seems to show a 6 1/2 ft person casting a 9 ft shadow at the same time a flagpole is casting a 31 1/2 ft shadow. You want the height of the flagpole.
<h3>Proportion</h3>
Shadow lengths are presumed proportional to the height of the object making them. This means ...
h/(31 1/2) = (6 1/2)/9 . . . . . all lengths in feet
Multiplying by 31 1/2, we get ...
h = (31 1/2)(6 1/2)/9 = (819/4)/9 = 91/4
h = 22 3/4 . . . . ft
The flagpole is 22 3/4 feet tall.
Answer:
There are 18 fish in the fish tank.
Step-by-step explanation:
The volume of a fish tank is 60 cubic feet: V = 60 ft³.
The density is 0.3 fish over feet cubed. d = 0.3 fish/ft³
We can find the number of fish using proportions. The required conversion factor is 0.3 fish/ft³. The number of fish is:
60 ft³ × (0.3 fish/ft³) = 18 fish
There are 18 fish in the fish tank.
