Answer:
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Step-by-step explanation:
Complete question
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Solution :
The null hypothesis is basically the problem statement that needs to be tested.
Alternate hypothesis is opposite of that of null hypothesis
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
1. We want to add all alike terms and follow GEMDAS as well. Addition first 2x+3x=5x ,then -x(which is equal to -1x) + 10x = 9x. Now we add 5x + 9x = 14x.
Right now the equation looks like:
14x + 14 = -42
2. Now we process the equation,
Subtract 14 from the left side, but what u do to one side u do to the other so now the equation looks like:
14x = -56
3. Now we are almost finished last step.
14x changes to x and we divide -56 by 14 which equals -4. The answer is
X = -4
Ps. I spent way too long writing this answer
Answer:
26.04cm^2
Step-by-step explanation:
28 divided by 20 is 1.4. 1.4 times the area will give you the area of the other figure. 1.4 x 18.6 = 26.04
Common factors are 1,2,4 so the greatest one would be 4