Answer:
a) x = 119 minutes
the mean value for average movie length in minutes is 119 minutes
b) margin of error M.E = 44 minutes
Note; Since the number of samples used is not given, the standard deviation r cannot be calculated using the equation
M.E = zr/√n
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
x+/-M.E
M.E = zr/√n
Given that;
M.E = margin of error
Mean = x
Standard deviation = r
Number of samples = n
Confidence interval = 95%
z value (at 95% confidence) = 1.96
a) The mean value x can be calculated as;
x = (a+b)/2
Where a and b are the lower and upper bounds of the confidence interval;
a = 75 minutes
b = 163 minutes
substituting the values;
x = (75+163)/2
x = 119 minutes
the mean value for average movie length in minutes is 119 minutes
b) the margin of error M.E can be calculated as;
M.E = (b-a)/2
Substituting the values;
M.E = (163-75)/2
M.E = 44 minutes
Since the number of samples used is not given, the standard deviation r cannot be calculated using the equation
M.E = zr/√n
Step-by-step explanation:
(note: I'm only answering the ones I know vs giving you wrong answers for the others!)
1. ROS=Obtuse (larger then ninty degrees)
2. octagon has 8 angles (octo means eight, after all!)
3. If a figure has three sides, it is a triagle (not positive on this one)
4. symmetric property of congruence (this one's a simple search :p )
5. N/A (although I believe its angle BEC=124 degrees, as every other choice Is proven to be true)
6. congruent complements theorem (this is because we are given that 3 is a suppliment of 4. we are also given that 2=4. Based on this, then 1=3 is congruent based on 1 being suppliment of 2, 2=4, and 3 being a suppliment of 4)
7. N/A
8. N/A (the picture is too fuzzy for me to make any ideas)
I'm sorry I couldn't solve them all, but I hope this at least gets you somewhere! Have a great day!
How much of a 40 g sample would be left after 90 years
Any real number line ranges from negative infinity to positive infinity. A real number number line consists of all the rational and irrational numbers. Let us take three intervals which contain both the rational and irrational numbers.
First interval: [3,4]
Since every integer is a rational number, 3 and 4 are both rational. In this interval there occurs the value of π (3.14159..) which is an irrational number.
Second interval : [0,2]
0 and 2 are integers and hence are rational. In this interval, occurs √2 (1.41421...) is an irrational number.
Third interval : [2,3]
In this interval, Eulers number 'e' lie whose value is (2.718281.. )
Hence we can conclude that, there occurs an irrational number between any two rational number.
