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3 years ago

How many significant figures are in 6.0

Mathematics

2 answers:

aliya0001 [1]3 years ago

7 0

Answer:

2 Sig Figs

Step-by-step explanation:

6 is a significant number (a non-zero). It counts as one sig fig.

Any zero after the decimal is significant. It also counts as one sig fig.

One sig fig + one sig fig = 2 sig figs.

Alika [10]3 years ago

5 0

Number 6000
Scientific notation 6.0*10^3
Significant figures 1

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3 years ago

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Harrizon [31]

Answer:

(a) The probability that a randomly selected parcel arrived late is 0.026.

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(d) The probability that a parcel was late was being shipped through the overnight mail service A₃ is 0.192.

Step-by-step explanation:

Consider the tree diagram below.

(a)

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$P(L)=P(L|A_{1})P(A_{1})+P(L|A_{2})P(A_{2})+P(L|A_{3})P(A_{3})\\=(0.04\times0.40)+(0.01\times0.50)+(0.05\times0.10)\\=0.026$

Thus, the probability that a randomly selected parcel arrived late is 0.026.

(b)

The conditional probability of an event A provided that another event B has already occurred is:

$P(A|B)=\frac{P(B|A)P(A)}{P(B)}$

Compute the probability that a parcel was late was being shipped through the overnight mail service A₁ as follows:

$P(A_{1}|L)=\frac{P(L|A_{1})P(A_{1})}{P(L)} \\=\frac{0.04\times 0.40}{0.026} \\=0.615$

Thus, the probability that a parcel was late was being shipped through the overnight mail service A₁ is 0.615.

(c)

Compute the probability that a parcel was late was being shipped through the overnight mail service A₂ as follows:

$P(A_{2}|L)=\frac{P(L|A_{2})P(A_{2})}{P(L)} \\=\frac{0.01\times 0.50}{0.026} \\=0.192$

Thus, the probability that a parcel was late was being shipped through the overnight mail service A₂ is 0.192.

(d)

Compute the probability that a parcel was late was being shipped through the overnight mail service A₂ as follows:

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Thus, the probability that a parcel was late was being shipped through the overnight mail service A₃ is 0.192.

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