Given:
The two sides of a triangle are 2 and 6.
To find:
The side length that would NOT work to make a triangle with the two slide lengths of 2 and 6.
Solution:
For a triangle, the sum of two smaller sides must be greater than the largest side.
Let x be the third side.
Case 1: x is the largest side, then
...(i)
Case 2: x is not the largest side, then
...(ii)
From (i) and (ii), we get
Here, 4 and 8 are not included.
6, 5, 7 are included in the above interval, but 4 is not included in the above interval. It means 4 would NOT work to make a triangle with the two slide lengths of 2 and 6.
Therefore, the correct option is D.
Answer:
——
y=3x-17
——
Step-by-step explanation:
y=mx+b is the formula
m=slope, b=y-intercept.
Slope is given, 3
So y=3x+b
A point is also given, (3,-8) x=3,y=-8
-8=3(3) + b
-8=9+b
-17=b
So the equation is :
y=3x-17
Hope this helps, let me know if you have any questions!
Answer:
Step-by-step explanation:
Given that, we have 1851 bullets that we KNOW are NOT MATCHES of one another. One by one they examine two bullets at a time.
So, there are 1851 bullets but each time we choose 2.
We have, N choose K = N! / K! (N-k)!
Here, N = 1851 and K = 2
Therefore, 1851 choose 2 = 1851! / 2! (1851-2)!
= 1851! / 2! * 1849!
= 1712175 Possible Combinations
Out of these 653 are false positive.
The chance of getting false positive is = 658 / 1712175
= 0.000384
= 0.0384 %
Therefore, The correct option is
The chance of false positive is 0.0384% Because this probability is sufficiently small (< or = 1%) There is high confidence in the agency's forensic evidence.
155/10,000 divided by 5
31/2000 =0.0155
Answer:
26°
Step-by-step explanation:
The measure of arc PRQ is 308°, so the measure of arc PQ is 52°.
Inscribed angles are half the arc angle, so the measure of ∠PRQ is 26°.
