Answer:
a) The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.
b) 
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 7 - 1 = 6
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.4469, and the answer to question b is
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.4 - 0.21 = 1.19 pounds.
The upper end of the interval is the sample mean added to M. So it is 1.4 + 0.21 = 1.61 pounds.
The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.
Answer:
a) 0.69
The probability that a randomly selected 10-year old child will be more than 51.75 inches tall
P(X>51.75 ) = 0.6915
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
<em>Given mean of the Population = 54.6 inches</em>
<em>Given standard deviation of the Population = 5.7 inches</em>
<em>Let 'X' be the random variable of normal distribution</em>
Let 'X' = 51.75 inches
<u><em>Step(ii):</em></u>-
<em>The probability that a randomly selected 10-year old child will be more than 51.75 inches tall</em>
<em>P(X>51.75 ) = P(Z>-0.5)</em>
= 1 - P( Z < -0.5)
= 1 - (0.5 - A(-0.5))
= 1 -0.5 + A(-0.5)
= 0.5 + A(0.5) (∵A(-0.5)= A(0.5)
= 0.5 +0.1915
= 0.6915
<u><em>Conclusion</em></u>:-
<em>The probability that a randomly selected 10-year old child will be more than 51.75 inches tall</em>
<em>P(X>51.75 ) = 0.6915</em>
Answer:
Let S be the total surface area. Then
h = ( S - 2 Pi r^2) / ( 2 Pi r)
Discussion:
Let S be the total surface area. Then
S = 2Pi r*h + 2 Pi r^2 => subtract 2 PI r^2 from both sides
S - 2 PI r^22 = 2 PI r*h => divide both sides by 2 PI r
h = ( S - 2 Pi r^2) / ( 2 Pi r)
Thank you,
MrB
Step-by-step explanation:
Answer:
Look below!
Step-by-step explanation:
1.
1A (fraction): 1/6
1B (decimal): 0.16 (6 continues)
1C (percent): 16.66 (6 continues)
2.
5+15+7+8+10+15=60
10/60 time she got 5
1/6 chance she gets a 5 again
2A (fraction): 1/6
2B (decimal): 0.16 (6 continues)
2C (percent): 16.66 (6 continues)
3.
Yellow: 3/10 chance
Red: 1/5 chance
Blue: 2/5 chance
Pink: 0/20 chance
You're welcome in advance.
The answer is 20, because it goes up every time.
