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
88 degrees is the answer. You would start by setting up the equation as (5x+7)+(8x+8)+(3x+5)=180 because all angles of a triangle have a sum of 180 degrees. From there you combine like terms which would leave the answer of being 16x+20=180 then you subtract the 20 from 180 to get x by itself. Then that would leave you with 16x=160 then you divide both sides by 16 to get x=10. From there you plug 16 into the x in the planetarium equation which is 8(10)+8 which equals 88 degrees
Answer:
Step-by-step explanation:
if the roots are 3 and -6, we can start with:
But the leading coefficient must be 3, we just add a 3 to one of the x's:
But now we have to make sure the roots work again:
So our equation is:
[/tex]f(x)=3x^2+9x-54[/tex]
Answer:
Step-by-step explanation:
Q3
Corresponding angles are congruent
- 6x - 11 = 37
- 6x = 11 + 37
- 6x = 48
- x = 8
Q4
Angle2 is complementary with 142 and alternate interior with 2(x + 9)
- 142 + 2(x + 9) = 180
- 142 + 2x + 18 = 180
- 2x + 160 = 180
- 2x = 20
- x = 10
