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3241004551 [841]
3 years ago
13

Solve: – 8 = -m 2m + 10

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

Answer:

m = -18

Step-by-step explanation:

<u>Step 1:  Combine like terms</u>

-8 = -m + 2m + 10

-8 = m + 10

<u>Step 2:  Subtract 10 from both sides</u>

-8 - 10 = m + 10 - 10

-18 = m

Answer:  m = -18

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3 years ago
A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two
Vikentia [17]

Answer:

the probability of no defects in 10 feet of steel = 0.1353

Step-by-step explanation:

GIven that:

A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two.

Let consider β to be the average value for defecting

So;

β = 2

Assuming Y to be the random variable which signifies the anticipated number of defects in a 10-foot segment of this roll.

Thus, y follows a poisson distribution as number of defect is infinite with the average value of β = 2

i.e

Y \sim P( \beta = 2)

the probability mass function can be represented as follows:

\mathtt{P(y) = \dfrac{e^{- \beta} \ \beta^ \ y}{y!}}

where;

y =  0,1,2,3 ...

Hence,  the probability of no defects in 10 feet of steel

y = 0

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\mathtt{P(y =0) = \dfrac{0.1353  \times 1}{1}}

P(y =0) = 0.1353

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