Step-by-step explanation:
By Pythagoras' Theorem, 6^2 + 8^2 = x^2.
x^2 = 36 + 64 = 100, x = 10.
Let p be 0.831 denote the percentage of defective welds and q be 0.169 denote the percentage of non-defective welds.
Using the binomial distribution, we want all three to be defective.


Answer:
x = -4, x = 1
Step-by-step explanation:
Now I do not know why you said done, but just saying, if you are done with a question, you should delete it. Now I am just going to assume you knew this and move on with the solution of the problem.
When you factor this equation, you will get (x+4)(x-1).
You can then solve for x using zero product property. The first root is -4 and the second root is 1.
Answer:
47.8°
Step-by-step explanation:
Let's first outline the important parameters
--- <V = 90°
Vt = 64
UV = 43
The angles in a triangle sums up to 180,but we don't have up to 2 angles given so as to find the third one. What we have to is to find the second angle,in this case T,using the sine rule.
Sin v/v = sin t/t
(Sin 90)/64 = sin t/43
Cross multiply and we have
43 sin 90 = 64 sin t
Sin t = 43 sin 90 ÷ 64
Sin t = 0.6719
Sine inverse of t = 42.2°(the second angle)
Angle U = 180 -( 90 + 42.2)
180 - 132.2
= 47.8°
Mx + 4y = 3t
mx = -4y + 3t
x = (-4y + 3t) / m or x = -4y/m + 3t/m