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3 years ago

Simplify 3[2^3+(4/2)^3-(6-3)^2]

Mathematics

2 answers:

Ipatiy [6.2K]3 years ago

7 0

This simplified would be 21

sladkih [1.3K]3 years ago

6 0

Answer:

3(2^3+({4}/{2}^3-(6-3)^2)=21

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A survey conducted by a leading HMO found that of 2000 women, 340 were heavy smokers and 25 had emphysema. Of those who had emph

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Answer:

The events being a heavy smoker and having emphysema are not independent.

Step-by-step explanation:

We are given the following in the question:

Number of women = 2000

Number of heavy smoker = 340

Number of women who has emphysema = 25

Number of women who has emphysema and are heavy smoker = 21

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

P(Smoker) =

$P(S) = \dfrac{340}{2000}=0.17$

P(emphysema) =

$P(E) = \dfrac{25}{2000}= 0.0125$

P(Smoker and emphysema) =

$P(S\cap E) = \dfrac{21}{2000} = 0.0105$

Two events A and B are said to be independent if

$P(A\cap B)=P(A)\times P(B)$

Checking conditions for independence:

$P(S)\times P(E) = 0.17\times 0.0125=0.002125\\P(S)\times P(E) \neq 0.0105\\P(S)\times P(E)\neq P(S\cap E)$

Thus, the events being a heavy smoker and having emphysema are not independent.

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3 years ago

Lance Murdock purchased a wooden statue of a Conquistador for $7,500 to put in his home office 8 years ago. Lance has recently m

Lapatulllka [165]

Answer:

- 5.9%

Step-by-step explanation:

Data provided in the question :

Future value of the amount invested = $4,600

Principle i.e amount of purchase = $7,500

Time, n = 8 years

Now,

let the interest rate be 'i'

using compounding

$4,600 = $7,500 × (1 + i)⁸

0.613 = (1 + i)⁸

1 + i = 0.941

i = -0.059

interest rate = - 5.9%

Here negative sign means loss

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3 years ago