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Eva8 [605]
2 years ago
9

An expecting mother wants to convert a corner of the nursery in her house into a rectangular playpen by enclosing the corner of

the room with two fences. if the woman has 10 feet of fencing material, what is the maximum area the playpen could encompass?
Mathematics
1 answer:
Elena-2011 [213]2 years ago
5 0

  10=1+9            1x9=9
   =2+8            2x8=16
   =3+7            3x7=21
   =4+6            4x6=24
   =5+5            5x5=25
↑ Left: the possible measurements of the two fences, Right: the possible areas

out of the areas calculated, 25 sq feet is the maximum. :)

Ans: 25 square feet


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Answer:

C.I. =  (2.297, 11.703)

Step-by-step explanation:

The t-statistic for difference of mean is given by,

t=\frac{\bar{x_{1}}-\bar{x_{2}}}{\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}}

Here, \bar{x_{1}} = 84

\bar{x_{2}} = 7

s₁ = 4

n₁ = 12

s₂ = 6

n₂ = 18

Substituting all value in formula,

We get, t = -3.541 at 28 degree of freedom.

Using this formula, we get, t = 1.5342

Therefore, based on the data provided, the 99% confidence interval for the difference between the population means \bar{x_{1}}-\bar{x_{2}} is: 2.297 < \bar{x_{1}}-\bar{x_{2}} < 11.703

which indicates that we are 99% confident that the true difference between population means is contained by the interval (2.297, 11.703)

6 0
3 years ago
Six less than the quotient of a number and 4 is 15
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Answer:

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Step-by-step explanation:

The probability that the Islanders will win at least 6 out of seven is the probability of them winning exactly 6 games, P(X=6), added to the probability of them winning all seven games, P(X=7).

This problem can be treated as a binomial probability model with probability of success p = 0.38 in each of n = 7 games.

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The probability is:

P(X\geq 6) = 0.01307+0.00114\\P(X\geq 6) = 0.014

The probability that the Islanders will win at least six out of seven games in a series against the Rangers is 0.014.

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