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2 years ago

Perform the following operation and express the answer in scientific notation. 3.8×10^-5 ÷ 8.1×10^3

Mathematics

1 answer:

Rudiy272 years ago

4 0

Answer:

$4.7*10^{-9}$

Step-by-step explanation:

$\frac{3.8*10^{-5} }{8.1*10^{3} } =\frac{380*10^{-7} }{81*10^{2} } =\frac{380}{81}*\frac{10^{-7} }{10^{2} } =4.7*10^{-9}$

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2 years ago

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2 years ago

What is the solution for x? 9-x/5=3

navik [9.2K]

Answer:

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Step-by-step explanation:

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3 years ago

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Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation = 1.667

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

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We have to evaluate:

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c) P( exactly 3 trucks fail the inspection)

p = 0.25

$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

d) Mean and standard deviation

$\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667$

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2 years ago

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Jet001 [13]

Answer:

Corresponding angles are equal so,

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1 year ago

Perform the following operation and express the answer in scientific notation. 3.8×10^-5 ÷ 8.1×10^3​

Perform the following operation and express the answer in scientific notation. 3.8×10^-5 ÷ 8.1×10^3