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Scrat [10]
3 years ago
14

11 relaxing after work. the 2010 general social survey asked the question: "after an average work day, about how many hours do y

ou have to relax or pursue activities that you enjoy?" to a random sample of 1,155 americans.41 a 95% confidence interval for the mean number of hours spent relaxing or pursuing activities they enjoy was (1.38, 1.92). (a) interpret this interval in context of the d
Mathematics
1 answer:
Bogdan [553]3 years ago
3 0
A confidence interval tells us how many percents we are confident about the range of a parameter. In this problem, <span>a 95% confidence interval for the mean number of hours spent relaxing or pursuing activities they enjoy was (1.38, 1.92). That means we're 95% confident that the Americans spend from 1.38 hours to 1.92 hours per day on average relaxing or pursuing activities they enjoy. In other words, 95% of the samples of the same size would have a mean number of hours relaxing or pursuing activities they enjoy between 1.38 to 1.92.</span>
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A pool has 2 pipes, one to fill and one to empty it. Ms.Charles wants to fill the pool, but she mistakenly turns on both pipes a
dolphi86 [110]

-- The filler pipe can fill 1/6 of the pool every hour.

-- The drainer pipe can drain 1/10 of the pool every hour.

-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.

-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties.  The difference is   (1/6) - (1/10).

To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.

       1/6  =  5/30

     1/10  =  3/30 .

So in every hour,  5/30 of the pool fills, and  3/30 of the pool empties.
The result of both at the same time is that  2/30 = 1/15  fills each hour.

If nobody notices what's going on and closes the drain pipe, it will take
<em><u>15 hours</u></em> to fill the pool.


If the drain pipe had <em><u>not</u></em> been open, the filler pipe alone could have filled
the pool <em><u>2-1/2 times</u></em> in that same 15 hours.  With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted. 

I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week.  I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.

I hope this did not take place in California.


6 0
3 years ago
X-2y=0 ,x²-y²=3<br>by step​
masya89 [10]

Answer:

x=2, y=1

x=-2, y = -1

Step-by-step explanation:

x - 2y = 0

x = 2y

x² - y² = 3

(2y)² - y² = 3

3y² = 3

y² = 1

y = 1 or y = - 1

x = 2 or x = -2

5 0
3 years ago
Evaluate and simplify the following complex fraction.:6/7 ÷ 3/11​
inna [77]

Answer:

3  7/50

Step-by-step explanation:

so you need them to become common denominators

a common multiple they both have would be is 77

6/7 becomes 66/77 and 3/11 becomes 21/77

now we divide

keep the 66/77 as is and flip 21/77 (keep, change, flip)

so now our equation looks like this: 66/77 x 77/21

and your answer is 3.14

but as a fraction it is 157/50 and to simplified it would be 3 7/50 (mixed fraction)

3 0
2 years ago
20 points and Brainliest if answered and explained!
Rasek [7]
What you need to know for this case is that the sum of the internal angles of a triangle is 180 °
 We then have the following equation that is given by:
 (2x) + (3x) + (4x) = 180
 Clearing x we have:
 9x = 180
 x = 180/9
 x = 20
 Therefore we have:
 m∠A = (40) °
 m∠B = (60) °
 m∠C = (80) °
 Answer:
 B) m∠B = 60 °
6 0
3 years ago
The standard form of an absolute value function is f(x)-a|x-h|+k. Which of the following represents the vertex?
Len [333]

Answer:

(h, k )

Step-by-step explanation:

given the standard form of an absolute function

f(x) = a| x - h | + k , then

vertex = (h, k )

6 0
2 years ago
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