Answer:
The number of students who scored more than 90 points is 750.
Step-by-step explanation:
Quartiles are statistical measures that the divide the data into four groups.
The first quartile (Q₁) indicates that 25% of the observation are less than or equal to Q₁.
The second quartile (Q₂) indicates that 50% of the observation are less than or equal to Q₂.
The third quartile (Q₃) indicates that 75% of the observation are less than or equal to Q₃.
It is provided that the first quartile is at 90 points.
That is, P (X ≤ 90) = 0.25.
The probability that a student scores more than 90 points is:
P (X > 90) = 1 - P (X ≤ 90)
= 1 - 0.25
= 0.75
The number of students who scored more than 90 points is: 1000 × 0.75 = 750.
The answer is: 
The inverse of a function 
is another function, 
, with the following property:
In other words, the inverse of a function does exactly "the opposite" of what the original function does, and so if you compute them both in sequence you return to the starting point.
Think for example to a function that doubles the input, 
, and one that halves it: 
. Their composition is clearly the identity function 
, since you consider "twice the half of something", or "half the double of something".
In general, to invert a function 
, you have to solve the expression for 
, writing an expression like 
. If you manage to do so, then 
is the inverse of 
.
In your case, you have
Multiply both sides by 
to get
Square both sides to get
Finally, subtract 3 from both sides to get
Since the name of the variables doesn't really have a meaning, you can say that the inverse function is
As for the domain of the inverse function, remember what we said ad the beginning: if the original function goes from set A (domain) to set B (codomain), then the inverse function goes from set B (domain) to set A (codomain). This means that the inverse function is defined on an element in B if and only if that element belongs to the range of the original function, i.e. the set of the elements of the codomain 
such that there exists 
. So, we need the range of .
We know that the range of 
is 
. When you transform it to 
you simply translate the graph horizontally, so the range doesn't change. But when you multiply the function times 
you affect both extrema of the range, turning it into ![(-\infty,0]](https://tex.z-dn.net/?f=%20%28-%5Cinfty%2C0%5D%20)
, which you can simply write as 
Answer:
y = -5x + 20
Step-by-step explanation:
Lets start with the first given values for x and y
(2,10)
Lets try out the first equation
y = 5x + 4
y = 5(2) + 4
y = 14
This equation wouldn't work because the y value is not 10 when the x value is 2
y = 5x + 20
y = 5(2) + 20
y = 30
This equation doesn't work either
y = -5x + 20
y = -5(2) + 20
y = -10 + 20
y = 10
This would be the correct equation since your y value is 10 when the x value is 2
When multiplying fractions, just multiply straight across
10 x 11 = 110
3 x 12 = 36
110/36 is your answer
3 1/18 is simplified mixed fraction
hope this helps
Answer:
280
Step-by-step explanation:
V=Bh
V=1/2(7x10)8 *it is a triangluar pyrmid so the base is a triangle*
V=1/2x70x8
V=35x8
V=280
Answer:280
