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BabaBlast [244]
3 years ago
11

Log(14/3) + log(11/5) - log(22/15) = log _

Mathematics
2 answers:
victus00 [196]3 years ago
5 0

Answer:

log 7

Step-by-step explanation:

We have to find the value of the logarithmic expression

Log(14/3) + log(11/5) - log(22/15)

We know the formula

log a + log b = log (ab)

Using this formula, we have

log(14/3) + log(11/5) - log(22/15)

=log ( 14/3 × 11/5) - log(22/15)

= log (154/15)- log(22/15)

Now, use the formula log a - log b = log (a/b)

= log (154/15×15/22)

On simplifying, we get

= log 7

Thus, the shoplifted form is log 7

Anika [276]3 years ago
3 0
= log ( 14/3 * 11/5 ) / (22/15)  = log  7 =  0.8451 
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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.

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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

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

P(y =0) = 0.1353

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