To find the median you list out all the numbers and find the middle.
80, 90, 100
With angie getting 75, it goes from "80, 90, 100" to "75, 80, 90, 100"
This changes the median from 90 to 85.
Mean is the average of all the numbers. The average of the first set of numbers (Found by adding all of the numbers up and dividing by the amount of numbers present) is 90.
The mean of the second set is 86.25
The answer would be A, both the mean and median will decrease.
Answer:
4:15 is the ratio formed by the proportion.
Answer:
Yes. It is a vector space over the field of rational numbers 
Step-by-step explanation:
An element
of the set
has the form

where
are rational coefficients.
The operations of addition and scalar multiplication are defined as follows:


The properties that
, together the operations of vector addition and scalar multiplication, must satisfy are:
- Conmutativity
- Associativity of addition and scalar multiplication
- Additive Identity
- Additive inverse
- Multiplicative Identity
- Distributive properties.
This is not difficult with the definitions given. The most important part is to show that
has a additive identity, which is the zero polynomial, that is closed under vector addition and scalar multiplication. This last properties comes from the fact that
is a field, then it is closed under sum and multiplication.
By connecting the top of the height of the bird feeder and the tip of the shadow casted, we form a right triangle. The hypotenuse is equal to the given distance between the top of the bird feeder and the top of the shadow which is equal to 19 feet.
If we let x be the height of the bird feeder and x/2 be the length of the shadow, by Pythagorean theorem,
x² + (0.5x)² = 19²
The value of x from the equation is 16.99 ft or 17 ft.
Thus, the height of the bird feeder is 17 ft and the shadow is approximately 8.5 ft.