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2 years ago

Which of the following probabilities are most likely independent?

2 answers:

6 0

Independent probablities don't affect each other
dependent problities affect each other

example, an independent probalbity would be like probablity of picking a green marble then throwing a 10 in darts

dependent would be picking 2 green marbles in a row from the same box with no replacement

so

A. hair color affects where his father lives? nope. so this is likely independent
B. hair color doesn't really affect the kind of job you have (unlesss you are a model or secretary or something), so this is independent
C. this is dependent because the teen will spend less time on homework because he watched tv
D. compouters and IT are related. a tech may want to have more than 1 compouter at home, maybe not, so I wuld say dependent

answers are A and B

Fantom [35]2 years ago

3 0

I think C
Because if a teen watches a T.V show for more than 6 hours it's sure that he's not gonna finish homework.
Hope it helps!

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2 years ago

A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

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