Answer:
an Injective function is a function that maps distinct elements of its domain to distinct elements of its codomain. In other words, every element of the function's codomain is the image of at most one element of its domain.
Step-by-step explanation:
Use the rules of indices
When they are dividing we subtract the exponents provided the bases are the same.
Since the bases are the same,
(2/3)^5 ÷ (2/3)¹
Will be
(2/3)^5-1
= (2/3)⁴
= 16/81
Hope this helps.
Answer: H' : u = 24
Step-by-step explanation: Let H' represents the null hypothesis and H1 represents the alternative hypothesis.
From the question, the initial claim or assertion is that the machine is set to fill 24 ounces of cereal.
Hence H' : u = 24 ounces..... This is the null hypothesis.
After taking a sample of 100 boxes, they checked whether or not the machine is filling the boxes worn an average of 24 ounces of cereal.
This is the alternative hypothesis and is written as
H1: u ≠ 24 ( 2 tailed test)
Answer:
44.2545
Step-by-step explanation:
you can find the third angle by taking 180-(90+55)=a
a=35
use law of sines
Sin(angle)/(opposite side of angle)=Sin(another angle)/(opposite side of another angle)
so, sin(a)/A=sin(b)/B
sin(35)/33=sin(55)/x
x=sin(55)/(sin(35)/33)
x=44.2545
Hope this helps :)
The equation that gives the cost y of renting a car for x days from Rent-All is; y = mx + c
An equation model that gives the cost y of renting a car for x days from Rent-All is the standard slope-intercept form of the equation of a straight line.
The standard slope-intercept form of the equation of a straight line takes the form;
y = mx + c.
where;
- y is the cost of renting a car
- m is the rate of change of the cost y of renting a car per day
- c is a constant usually a flat rate for renting the car.
The equation that gives the cost y of renting a car for x days from Rent-All is;
y = mx + c
PS: The constant, c may be equal to zero. in some cases.