Answer:
Yes, there is evidence that there exists a difference in the true mean breaking strengths for the two types of welds. This is because confidence interval does not contain 0
Step-by-step explanation:
Given that in an inertia welding experiment, a sample of 50 welds made with a standard welding method were tested.
Group Group One Group Two
Mean 94.000 96.000
SD 3.000 3.500
SEM 0.424 0.452
N 50 60
The mean of Group One minus Group Two equals -2.000
standard error of difference = 0.629
t = 3.1818
df = 108
a) 95% confidence interval of this difference: From -3.246 to -0.754
b) Yes, there is evidence that there exists a difference in the true mean breaking strengths for the two types of welds. This is because confidence interval does not contain 0
Answer:
m < -9
Explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
Hope this helps!
Answer: the perimeter of the larger triangle is 22 units
Step-by-step explanation:
The diagram of both triangles is shown in the attached photo. The isosceles triangles are triangle ABC and triangle DEF
Perimeter of triangle ABC = 11
For an isosceles triangle, the other two sides are equal. If one equal side is x, then the sum of the two equal sides is x+x = 2x
Perimeter of triangle = sum of the lengths of the 3 sides. Therefore,
11 = 5 + 2x
2x = 11-5 = 6
x = 6/2 = 3
The base of the similar triangle is 10. It means that it is 2 times the base of the smaller triangle. That means the scale factor is 2. Therefore,
If the perimeter of the small triangle is 11, the Perimeter of the larger triangle will be 2 × perimeter of the smaller triangle. This becomes
2 × 11 = 22 units.
It can also be determined by adding the length of each side
3×2 + 3×2 + 5×2 = 6+6+10 = 22 units
Answer:
a = 36 , b = 6
Step-by-step explanation:
expand the right side using FOIL and compare coefficients with like terms on left side.
(x - b)²
= x² - 2bx + b² , compare to x² - 12x + a , then
- 2b = - 12 ( divide both sides by - 2 )
b = 6
and a = b² = 6² = 36
The formula for the area of a right triangle = (1/2)(base)(height)
x = the height
Area = (1/2)(10)(x)
= 5x
Now, bring in the "greater than or equal to 8 square feet" part of the problem.
5x ≥ 8