Answer:
The first option is not a direct variation
Step-by-step explanation:
When we talk of a direct variation, as one value increases, the other value increases too
Or as one value decreases, the other value decreases
A direct variation is of the form;
y = kx
k = y/x
where k is the coefficient of variation that must be a constant value all through the set of values
The values we are comparing here are the x and y values
So
let us take a look at the options;
The first option is not a direct variation
For the first option, the rate of increase is not constant;
2/6 = 1/3 , 8/12 = 2/3 , 14/18 = 7/9
for the second;
the ratio is 1 to 1
for the third;
3/6 = 1/2 ; 6/12 = 1/2; 9/18 = 1/2
for the fourth;
2/6 = 1/3, 4/12 = 1/3 , 6/18 = 1/3
Answer:
A, B, E
Step-by-step explanation:
The attachment shows a graph of the function. It tends to infinity for x going to infinity in either direction. (A, B are true)
The right-side piece is cubic, not quadratic.
The U-shape tells you the function is decreasing on the left side.
The two function definitions have the same value at x=2, so the function has no discontinuities. It is continuous. (E is true)
Answer:
a
The null hypothesis is 
The alternative hypothesis is 
b

c

d
The decision rule is
Reject the null hypothesis
e
There is sufficient evidence to support the researchers claim
Step-by-step explanation:
From the question we are told that
The first sample size is 
The sample variance for elementary school is 
The second sample size is 
The sample variance for the secondary school is 
The significance level is 
The null hypothesis is 
The alternative hypothesis is 
Generally from the F statistics table the critical value of
at first and second degree of freedom
and
is

Generally the test statistics is mathematically represented as

=> 
=> 
Generally from the value obtained we see that
Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to support the researchers claim