Express 11011 in base two
1 answer:
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Answer:
1) Randomization condition: We assume that we are selecting random samples so this condition is satisfied
2) 10% condition: We assume that the random sample selected is less than 10% of the population size
3) Success/ Failure condition:
For this case we need to satisfy this:
So since the condition 1 and 2 are satisfied the correct option for this case would be:
a)np and nq must be respectively at least equal to 10
Step-by-step explanation:
Assuming the following options:
a)np and nq must be respectively at least equal to 10
b) as n increases, the distribution of sample proportions becomes less Normal
c) np and nq must be respectively less than 10
d) np plus nq must be at least 10.
For this case we need 3 basic conditions:
1) Randomization condition: We assume that we are selecting random samples so this condition is satisfied
2) 10% condition: We assume that the random sample selected is less than 10% of the population size
3) Success/ Failure condition:
For this case we need to satisfy this:
So since the condition 1 and 2 are satisfied the correct option for this case would be:
a)np and nq must be respectively at least equal to 10
Two lines are perpendicular between each other if their slopes fulfills the following property
where m1 and m2 represents the slopes of line 1 an 2, respectively.
To find the slope of a line we can write it in the form slope-intercept form
Our original line is
Then its slope is
Now we have to find the slope of the second line. Using the first property,
Then the second line has to have a slope of 8.
The options given to us are:
Then we have to determine which of these options have a slope of 8. To do that we write them in the slope-intercept form:
Once we have the options in the right form, we note that the only one of them that has a slope of 8 is the last one.
Then the line perpendicular to the original one is