Answer:
For this case we want to check if the true mean for the depth of groves cut into aluminium by a machine is equal to 1.7 (null hypothesis) and the alternative hypothesis would be the complement different from 1.7. And the best system of hypothesis are:
Null hypothesis: 
Alternative hypothesis ![\mu \neq 1.7[/tx]And the best system of hypothesis are:3. This two-sided test: H0: μ = 1.7 mm H1: μ ≠ 1.7 mmStep-by-step explanation:For this case we want to check if the true mean for the depth of groves cut into aluminium by a machine is equal to 1.7 (null hypothesis) and the alternative hypothesis would be the complement different from 1.7. And the best system of hypothesis are:Null hypothesis: [tex]\mu =1.7](https://tex.z-dn.net/?f=%5Cmu%20%5Cneq%201.7%5B%2Ftx%5D%3C%2Fp%3E%3Cp%3EAnd%20the%20best%20system%20of%20hypothesis%20are%3A%3C%2Fp%3E%3Cp%3E3.%20This%20two-sided%20test%3A%0A%3C%2Fp%3E%3Cp%3EH0%3A%20%CE%BC%20%3D%201.7%20mm%0A%3C%2Fp%3E%3Cp%3EH1%3A%20%CE%BC%20%E2%89%A0%201.7%20mm%3C%2Fp%3E%3Cp%3E%3Cstrong%3EStep-by-step%20explanation%3A%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3EFor%20this%20case%20we%20want%20to%20check%20if%20the%20true%20mean%20for%20the%20depth%20of%20groves%20cut%20into%20aluminium%20by%20a%20machine%20is%20equal%20to%201.7%20%28null%20hypothesis%29%20and%20the%20alternative%20hypothesis%20would%20be%20the%20complement%20different%20from%201.7.%20And%20the%20best%20system%20of%20hypothesis%20are%3A%3C%2Fp%3E%3Cp%3ENull%20hypothesis%3A%20%5Btex%5D%5Cmu%20%3D1.7)
Alternative hypothesis [tex]\mu \neq 1.7[/tx]
And the best system of hypothesis are:
3. This two-sided test:
H0: μ = 1.7 mm
H1: μ ≠ 1.7 mm
Answer:(6,-1)
Explanation:The slope of the line can be calculated using the following formula:
slope =
We are given that:slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):slope =

= -0.75 ........> accepted choice
For point (2,8):slope =

= 0.75 ........> rejected choice
For point (-5,1):slope =

= 4/3 ........> rejected choice
For point (1,1):slope =

= -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)
Answer:the product of the length and the width of the rectangle could be expressed as
(x^2 - 3y)(x^2 + 3y)
Step-by-step explanation:
If the area of a rectangle is expressed as x^4 - 9y^2, we would determine the dimensions by simplifying the given expression. The simplified expression becomes
(x^2 - 3y)(x^2 + 3y)
Let us check by multiplying each term in one parenthesis by each term in the other parenthesis to get the given expression. It becomes
(x^2 - 3y)(x^2 + 3y) = x^4 + 3x^2y - 3x^2y - 9y^2 = x^4 - 9y^2
Answer:
Values are switched, ratio should be 16/24
Step-by-step explanation:
The student's ratios are wrong because the values in the right side of the equality are switched, the proposed equality is:

To find the correct ratio, simply multiply the number of oranges and number of fluid ounces by 4. The correct equality should be:

The ratio should be 16/24
3:1 is a common example, or even like 4:3