Injective- (one-to-One)
so
Replace the f(x) with y
10-4x
Interchange the variables
x=10-4y
Solv for y.
y= 5/2 - x/4
So solve for y and replace with f-1 (x).
and it equals
f-1 (x)=5/2- x/4
Answer:
Step-by-step explanation:
When we collect a large data we may find a single entry repeated. In these cases we prepare frequency distribution with x = the item in one column and f = the no of times it repeats i.e. frequency in other column.
Similarly for class intervals also, we write as frequency to the right side of interval column which gives no of items which fall within the class.
This process ensures compact presenting of data.
Hence we have
a)The number of observations that fall in a class
answer: Frequency
b) The relative frequency of a class multiplied by 100
answer: Percentage. Because when we express probability as a percentage we get total 100
c) The ratio of the frequency of a class to the total number of observations
answer: Relative frequency
(Relative frequency also known as probability is frequency/total entries)
The name of this property is symetric property of equality
Answer:
We can think that the line of the kite is the hypotenuse of a triangle rectangle, and the altitude is one of the cathetus of the triangle.
And we know that it makes an angle of 65° with the horizontal (i guess this is measured between the hypotenuse and the horizontal adjacent to the kite.
This angle is complementary to the top angle of our triangle rectangle, such that A + 65° = 90°
A = 90° - 65° = 25°
Then the altitude of the kite is the adjacent cathetus to this angle.
We can use the relation:
sin(A) = Adjacent cathetus/hypotenuse.
Sin(25°) = X/350ft
Sin(25°)*350ft = X = 147.9m
Answer:
between 222 and 223 days
Step-by-step explanation:
This relation includes the point (0, 2).
A proportional relation must include the point (0, 0).
This is not proportional, but it may be linear.
Points: (0, 2), (2, 20)
y = mx + b
20 = (20 - 2)/(2 - 0) × 2 + b
20 = 18/2 × 2 + b
b = 2
y = 18x + 2
When 4000 people know, y = 4000.
y = 18x + 2
4000 = 18x + 2
3998 = 18x
x = 3998/18
x = 222.111...
Answer: between 222 and 223 days
