Step-by-step explanation:
p^2-3p(3/2)^2=8+(3/2)^2
p^2-(3/2)^2=8+9/4
√(p-3÷2)^2=√(8+9÷4) take LCM and cancel out the square and square root
p-3÷2=√(32+9÷4)
p=(3+_√41÷2)
Answer:
60
Step-by-step explanation:
here are 360° used in a whole pie chart
Using proportion
30° → 5 people
360° → 5 × 360 / 30 = 5 × 12 = 60
There are 60 people altogether
can you upload a less blury picture
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%.
The correct answer would be D. You find the range by subtracting the lowest value of a data set from the highest value of the data set.