Answer:
0.292
Step-by-step explanation:
Combinations can be used to solve the following problem.
We are choosing 5 widgets from 25 = ²⁵C₅
We want to select zero widgets from defective widgets = ⁵C₀
From the 20 non-defective widgets we want to select 5 = ²⁰C₅
So the probability is:
P = ( ⁵C₀ * ²⁰C₅) / ²⁰C₅
P = (1 * 15504) / 53130
= 15504/ 53130
=0.292 ..
Decimal form
-0.015625
Exact form
-1/60
Negative one over sixty
Answer:
see explanation
Step-by-step explanation:
For the triangles to be congruent.
The hypotenuse and a leg of the triangle on the left and the hypotenuse and a leg of the triangle on the right must be congruent, thus
4y = x + 4 → (1)
x = y + 8 → (2)
Substitute x = y + 8 into (1)
4y = y + 8 + 4 = y + 12 ( subtract y from both sides )
3y = 12 ( divide both sides by 3 ) )
y = 4
Substitute y = 4 into (2)
x = 4 + 8 = 12
Thus
x = 12 and y = 4
Answer:
x+24<100
Step-by-step explanation:
Fabric needed: 1620 inches^2 or 135 feet^2
^2 means squared in case you didn't know.
