1.) 28-3x-4= 2x+12+x
2.) 24-3x= 3x+12
3.)24-6x=12
4.)-6x=-12
5.)x=2
![f(x) = 3 {x}^{2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%203%20%7Bx%7D%5E%7B2%7D%20)
function g has to be the transformation of function f. Therefore,
![g(x) = 3 {(x - 6)}^{2} + 5](https://tex.z-dn.net/?f=g%28x%29%20%3D%203%20%7B%28x%20-%206%29%7D%5E%7B2%7D%20%20%2B%205)
is the answer.
Answer:
The volume of the box is 41.21 inches cube.
Step-by-step explanation:
Given,
Width of the box
inches
inches
Length of the box
inches
inches
Height of the box
inches
inches
The box is in cuboid form.
The volume of cuboid is given by (length × breadth × height ).
So,
volume of the box is
×
×
![)](https://tex.z-dn.net/?f=%29)
= ![( \frac{455}{32} )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B455%7D%7B32%7D%20%29)
inches cube
The volume of the box is 41.21 inches cube.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The decision is to <u>reject</u> the <u> null hypothesis</u> at a significant level of <u>significance </u>
There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u> is <u>different from</u> <u>at least of the population</u>
Step-by-step explanation:
From the question we are told that the claim is
The mean growth rates of all four species are equal.
The null hypothesis is
![H_o : \mu _1 = \mu_2 = \mu_3 = \mu_4](https://tex.z-dn.net/?f=H_o%20%20%3A%20%20%5Cmu%20_1%20%3D%20%20%5Cmu_2%20%3D%20%5Cmu_3%20%20%3D%20%20%5Cmu_4)
Th alternative hypothesis is
![H_a: at \ least \ one \ of \ the \ means \ is \not\ equal](https://tex.z-dn.net/?f=H_a%3A%20at%20%5C%20least%20%5C%20one%20%5C%20of%20%5C%20%20the%20%5C%20%20means%20%5C%20is%20%5Cnot%5C%20equal)
From question the p-value is ![p-value = 0.015](https://tex.z-dn.net/?f=p-value%20%20%3D%20%200.015)
And since the
so the null hypothesis will be rejected
So
The decision is to <u>reject</u> the <u> null hypothesis</u> at a significant level of <u>significance </u>
There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u> is <u>different from</u> <u>at least of the population</u>