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Lynna [10]
3 years ago
8

Wildlife reserve has 7 lion cubs born in the spring and now has 41 total lions. Write an equation to represent the situation.

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

Answer:

(x + 7) = 41

Step-by-step explanation:

Let the number of lions in the wildlife reserve = x

Since, 7 lion cubs were born, so the total number of lions in the wildlife reserve will be (x + 7)

Now total number of lions = 41

Therefore, equation representing this situation will be,

(x + 7) = 41

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Correct choice is D

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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
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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

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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!}}

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y = 0

\mathtt{P(y =0) = \dfrac{e^{- 2} \ 2^ \ 0}{0!}}

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

P(y =0) = 0.1353

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