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fgiga [73]
3 years ago
7

It takes a total of 6 hours to fill up an inground backyard pool using a standard house. A function can represent this situation

to represent the amount of water in the pool until it is full a function of time the hose is running. Determine the domain for the function
Mathematics
1 answer:
frez [133]3 years ago
5 0

Answer:

All real numbers between 0 and 6

Step-by-step explanation:

We know, the function represents 'the amount of water in the pool until it is full'.

That is, 'It is a function of time giving the value of amount of water in the pool until it is full'.

So, we get that,

The domain is representing the time in which the pool is filled completely.

As, we are given that,

Maximum time taken to completely fill the pool = 6 hours.

So, the domain of the functions is 'All real numbers between 0 and 6'.

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An article in Knee Surgery, Sports Traumatology, Arthroscopy, "Arthroscopic meniscal repair with an absorbable screw: results an
igomit [66]

Answer:

Mean = 1.57

Variance=0.31

Step-by-step explanation:

To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:

1) Both surgeries are successful (X=2).

P(e_1)=0.90*0.67=0.603

2) Left knee unsuccessful and right knee successful (X=1).

P(e_2)=(1-0.9)*0.67=0.1*0.67=0.067

3) Right knee unsuccessful and left knee successful (X=1).

P(e_3)=0.90*(1-0.67)=0.9*0.33=0.297

4) Both surgeries are unsuccessful (X=0).

P(e_4)=(1-0.90)*(1-0.67)=0.1*0.33=0.033

Then, the mean can be calculated as the expected value:

M=\sum p_iX_i=0.603*2+0.067*1+0.297*1+0.033*0\\\\M=1.206+0.067+0.297+0\\\\M=1.57

The variance can be calculated as:

V=\sum p_i(X_i-\bar{X})^2\\\\V=0.603(2-1.57)^2+(0.067+0.297)*(1-1.57)^2+0.033*(0-1.57)^2\\\\V=0.603*0.1849+0.364*0.3249+0.033*2.4649\\\\V=0.1115+0.1183+0.0813\\\\V=0.3111

3 0
3 years ago
a triangle has perimeter 38cm. a square has perimeter 48cm. two sides of the shapes are put together to make a pentagon. what is
melomori [17]

Answer:

perimeter of Pentagon is 62 CM

perimeter of triangle is equal to 38 CM

perimeter of square is equal to 48 CM

therefore perimeter of one side of square is 48 divided by 4 is equal to 12 CM

perimeter of Pentagon is 62 CM

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Answer:

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Please help<br><br> Look at picture <br><br> Supplementary angles
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Answer:

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2)=> x=16

Step-by-step explanation:

....,....................

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