Answer:
Step-by-step explanation:
I don't know how is to speak it English correctly but is the teoreme of whole probability
P(A1)=0.08*0.4=0,032 is probability to choose defective item line I
P(A2)=0.1*0.6=0.06 is probability to choose defective item line II
P(B)=P(A1)+P(A2)=0,032+0.06=0.092 probability to choose defective item
P(C)=1-P(B)=0.908 the probability that it is not defective
Step-by-step explanation:
Length of third side
Or
Length of third side
Given:
Total number of pieces: 117
watch = x
earrings = four times as many earring as watches = 4x
necklaces = half the number of necklaces as earrings = 1/2 * 4x = 2x
bracelets = necklaces = 2x
x + 4x + 2x + 2x = 117
9x = 117
x = 117/9
x = 13
watches: x = 13
earrings: 4x = 4(13) = 52
necklaces: 2x = 2(13) = 26
bracelets: 2x = 2(13) = 26
13 + 52 + 26 + 26 = 117
There are 13 watches, 52 earrings, 26 necklaces, and 26 bracelets.
Answer:
8
Step-by-step explanation:
Let's start with a simple fact: two sides of an isosceles triangle must be equal. Let's suppose the missing side is 4
That would mean that 4 + 4 equals 8. You must pick a side that exceeds 8, but you loose the property of 2 sides need to be equal.
So the answer has to be 8. The final size of the sides is 4 8 and 8. 4 and 8 exceed the third side (8).
8 and 8 certainly exceed 4.
8p² - 16p = 10
8p² - 16p - 10 = 0 Divide through by 2
4p² - 8p - 5 = 0
Multiply first and last coefficients: 4*-5 = -20
We look for two numbers that multiply to give -20, and add to give -8
Those two numbers are 2 and -10.
Check: 2*-10 = -20 2 + -10 = -8
We replace the middle term of -8p in the quadratic expression with 2p -10p
4p² - 8p - 5 = 0
4p² + 2p - 10p - 5 = 0
2p(2p + 1) - 5(2p + 1) = 0
(2p + 1)(2p - 5) = 0
2p + 1 = 0 or 2p + 5 = 0
2p = 0 -1 2p = 0 - 5
2p = -1 2p = -5
p = -1/2 p = -5/2
The solutions are p = -1/2 or -5/2