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mikeysoulemison
24.12.2019 •
Mathematics
Acompany makes electric motors. the probability an electric motor is defective is 5% . what is the probability that a sample of 100 electric motors will contain no defective motor? use just one decimal point!
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Ответ:
Step-by-step explanation:
The probability an electric motor is defective is 5%. This means that the probability of success, p = 5/100 = 0.05
The probability of failure, q = 1 - p = 1 - 0.05 = 0.95.
number of samples is 100, so n = 100
We would apply binomial distribution. The formula for binomial distribution is expressed as
P(x = r) = nCr × q^(n - r) × p^r
We want to determine the probability that there would be no defective. This is expressed as
P(x = 0) = 100C0 × 0.95^(100- 0) × 0.05^0 = 1 × 0.0059 × 1 = 0.006
Ответ:
The vertical angles are ∠ WRS and ∠ VRT ⇒ 2nd answer
Step-by-step explanation:
Find below the explanation of the meaning of the vertical angles
- Vertical angles are the angles opposite to each other when two lines are intersected
- The vertical angle are equal in measures
- Look to attached figure which represents the lines
∵ Line TW intersects line SV at R
∴ ∠ WRV and ∠ SRT are vertical angle
∴ ∠ WRS and ∠ VRT are vertical angle
∵ RU is between the rays of angle VRW
∴ RU intersects the lines TW and SV at R
∴ No vertical angles between RU and the other two lines because
it intersects them its endpoint R
* Now lets look to the answer to chose the right one
- ∠ WRU and ∠ SRT are not vertical angles
- ∠ WRS and ∠ VRT are vertical angles
- ∠ VRU and ∠ TRS are not vertical angles
- ∠ VRT and ∠ SRT are not vertical angles