Answer:
Step-by-step explanation:
<u>Use triangle inequality theorem, which states</u>
<em>"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."</em>
<u>The sum of two sides compared to the remaining side:</u>
- 7 + 11 = 18 = 18 - not ok
- 7 + 18 = 25 > 11 - ok
- 11 + 18 = 29 > 7 - ok
The sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.
Answer:
1) k = 3
2) 3, 4, 5
3) k + (k + 2) + (k + 4) = 4k
4) 6, 8, 10
Step-by-step explanation:
Jared used the equation;
k + (k + 1) + (k + 2) = 4k
Let's find k.
3k + 3 = 4k
4k - 3k = 3
k = 3
Thus,the integers will be;
3, (3 + 1) and (3 + 2)
This is; 3, 4, 5
He is looking for consecutive even integers but yet got 3 and 5 which are odd numbers. However, he should have used the format;
k, (k + 2), (k + 4) as the 3 consecutive even integers.
Thus, rewriting the main equation gives;
k + k + 2 + k + 4 = 4k
3k + 6 = 4k
4k - 3k = 6
k = 6
Thus,the integers are;
6, (6 + 2), (6 + 4)
This is; 6, 8, 10
Answer:
choice C
Step-by-step explanation:
the same input has 4 different outputs so its wrong
Answer:
(12.1409, 14.0591
Step-by-step explanation:
Given that Tensile strength tests were performed on two different grades of aluminum spars used in manufacturing the wing of a commercial transport aircraft. From past experience with the spar manufacturing process and the testing procedure, the standard deviations of tensile strengths are assumed to be known.
Group Group One Group Two
Mean 87.600 74.500
SD 1.000 1.500
SEM 0.316 0.433
N 10 12
The mean of Group One minus Group Two equals 13.100
standard error of difference = 0.556
90% confidence interval of this difference:
t = 23.5520
df = 20
0.002, 0.02, 0.05 (which is 1/20), 0.2
