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Liono4ka [1.6K]
3 years ago
7

calculate each of the following by using scientific notation and product rule. write the answer in scientific notation. 2.3 x 10

^4 times 4.2 x 10^6
Mathematics
1 answer:
dangina [55]3 years ago
6 0
Remember the associative and commutative properties of multiplcation
ab=ba and (ab)c=a(bc)

also, the exponential rules
(x^m)(x^n)=x^{m+n}

also, scientific notation is a*10^m where 1≤x<10 and m is an integer


therefor

(2.3*10^4) \space\ times \space\ (4.2*10^6)=
(2.3)(10^4)(4.2)(10^6)=
(2.3)(4.2)(10^4)(10^6)=
(9.66)(10^{4+6})=
9.66*10^{10}
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2 years ago
For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp
Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

\frac{1}{365}

a) Probability that  exactly 3 people have same birthday = \frac{1}{365^3}

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = \frac{1}{365^3}

Expected value of days = np = \frac{1}{365^2}

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Hence

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pychu [463]

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Step-by-step explanation:

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2 years ago
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Minchanka [31]

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Option B is the answer

8 0
3 years ago
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