Half of the numbers on the cube are even, so there's a 1/2 chance that that number is even. 3/5 of the numbers on the cards, however, are odd. The chance that both of these occur is 3/5*1/2=3/10.
Can you take another picture? I can't see the bottom problems.
Answer:
(a) 0.007238 or 07238%
(b) 0.003468 or 0.3468%
Step-by-step explanation:
(a) Since all it takes is one defective rivet for a seam to be reworked. The probability of a defective rivet 'p' for 16% of seams needing reworking is:
![1-(1-p)^{24} = 0.16\\1-p = \sqrt[24]{0.84}\\p=0.007238](https://tex.z-dn.net/?f=1-%281-p%29%5E%7B24%7D%20%3D%200.16%5C%5C1-p%20%3D%20%5Csqrt%5B24%5D%7B0.84%7D%5C%5Cp%3D0.007238)
The probability that a rivet is defective 0.007238 or 0.7238%.
(b) To ensure that only 8% of seams need reworking, the probability 'p' must be:
![1-(1-p)^{24} = 0.08\\1-p = \sqrt[24]{0.92}\\p=0.003468](https://tex.z-dn.net/?f=1-%281-p%29%5E%7B24%7D%20%3D%200.08%5C%5C1-p%20%3D%20%5Csqrt%5B24%5D%7B0.92%7D%5C%5Cp%3D0.003468)
In order to ensure that only 8% of all seams need reworking, the probability of a defective rivet should be 0.003468 or 0.3468%.
Answer:
2
Step-by-step explanation:
We can first find x:
6 (x - 3) + 3 = 6x - 3 (3 - x)
6x - 18 + 3 = 6x - 9 + 3x
6x - 15 = 9x - 9
We can then islolate x, getting 3x = -6 and x = -2.
We can then plug in -2 for x and solve x^2 - x:
(-2)^2 - 2 = 4 - 2 = 2