Answer:
Hence, option 1 is correct.
Hence, last option is correct.
Step-by-step explanation:
We have given two function
and 
Domain is the values x can take and
And range is the values y can take
Hence, x can take any real value in both the functions in f(x) and g(x)
Hence, option 1 is correct
Now, for range
range of f(x) can be any real number
But range of g(x) can be positive number
Hence, last option is correct.
Rest all options are incorrect.
Answer:
X+y=237Litres
Step-by-step explanation:
Let a be mixture of milk and water.
Let x =milk
Let y= water
z = x+y
Final volume of mixture =63litres + z
5/12(3+z))+60=8/15(63-z)
z =x+y= 237litres
Answer:
1. Group C; 2. Group B; 3. Group D; 4. Group A
Step-by-step explanation:
These equations are in the form
, where v₀ is the initial velocity and h₀ is the initial height.
The first equation has no value for v₀ and a value of 19 for h₀. This means there is no velocity, so the ball is dropped, and since the initial height is 19, it is dropped from 19 meters. This makes it group C.
The second equation has a value of 50 for v₀ and no value for h₀. This means the initial velocity is 50 and there is no initial height. This makes it group B.
The third equation has no value for v₀ and a value of 50 for h₀. This means there is no initial velocity, so the ball is being dropped, and the initial height is 50. This makes it group D.
The fourth equation has a value of 19 for v₀ and no value for h₀. This means the initial velocity is 19 and there is no initial height. This makes it group A.
Answer:
C. 50
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

The higher the margin of error, the wider an interval is.
As the sample size increases, the margin of error decreases. If we want a widest possible interval, we should select the smallest possible confidence interval.
So the correct answer is:
C. 50
Basically its just saying that How many people will move to the next round