What is the median of the data?<br>30,29,16,11,16,20,21,12,13,15,15,23,30
tia_tia [17]
Answer:
16
Step-by-step explanation:
ascending order:11,12,13,15,15,16,16,20,21,23,29,30,30
number of terms =13
median=[(n+1)/2] th term
=[(13+1)/2] th term
=[14/2] th tem
=7th term
=16
Answer:
x = 2, y = 3
Step-by-step explanation:
i) It is given that 5x - 3y =1
ii) It is also given that x = 2y - 4
iii) we can substitute the value of x from ii) in the equation in i) and we will get 5(2y - 4) - 3y = 1 ⇒ 10y - 20 -3y = 1 ⇒ 7y = 21 ∴ y = 3
iv) substituting the value of y obtained in ii) we get x = (2 × 3) - 4 = 6 - 4 = 2.
v) Therefore x = 2.
The function 
is incresing and have positive values for all x. Then the function 
is also increasing and have positive values for all x. This means that options B (values are negative) and D (function is decreasing) are incorrect.
At x=0, 
.
In option A graph of the function passes through point (0,y), where y is near 3. In option C graph of the function passes through point (0,y), where y is near 1/5. So, you can conclude that the option C is correct.
Answer:
The points are: (16.12,0),(-8.12,0).
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
Distance between two points:
Suppose we have two points, 
and 
. The distance between them is given by:
Find all points on the x-axis that are 14 units from the point (4, -7).
Being on the x-axis mean that they have y-coordinate equal to 0, so the point is (x,0).
The distance is 14. So
So 
The points are: (16.12,0),(-8.12,0).
