Direct variation always has the relationship y=kx. Indirect inverse variation always has the relationship y=k/x.
In this case y=kx, where k=6, so this is a direct variation.
Answer:
(f⋅g)(x)=8x^2−2x−15
Step-by-step explanation:
To find the expression (f*g)(x), multiply f(x) into g(x) using the distribution property.
(f*g)(x) = (2x - 3)(4x + 5) = 8x² - 12x + 10x - 15 = 8x² - 2x - 15
Answer:
x = 3
Step-by-step explanation:
Given:
- The volume of the triangular prism : 54 cubic units
- The base length: 4 unit
- The height of the base: x
- The height of the prism : 3x
As we know that, the formula used to find out the volume of a triangular prism is:
V = 1/2 * The base length * The height of the base * The height of the prism
<=> V = 1/2*4*x*3x
In this question we have V = 54 cubic units
<=> 1/2*4*x*3x = 54
<=>
= 9
<=> x = 3
Answer:
a
The null hypothesis is
The alternative hypothesis is
b

c
The decision rule is
Reject the null hypothesis
d
The conclusion is
There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.
Step-by-step explanation:
From the question we are are told that
The variance is
The sample size is n = 30
The sample variance is
The level of significance is
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as

=> 
=> 
Generally from the degree of freedom is mathematically represented as

=> 
=> 
Generally from the chi distribution table the critical value of
at a degree of freedom of
is

=> 
Gnerally from the values obtained we see that
hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.