Total numbers = 32
We are to select 7 numbers at a time. Selecting 7 numbers from a group of 32 is a combination problem. It is similar to making combination of 32 objects taken 7 at a time.
So total possible combinations of 7 numbers can be calculated as 32C7.
32C7 = 3365856
Only 1 combination can match the randomly selected combination.
So, the probability that he combination of 7 numbers will match the seven randomly selected balls =
What is the interquartile range of this data set 1,5, 12, 14, 29,45,48,61,72,84,96
Viefleur [7K]
There are 11 numbers
Lower quartile = 3rd number = 12
Upper quartile = 8th number = 72
Interquartile range = 72-12 = 60
This is the concept of application of geometry; the distance that the ladder should be placed will be given by Pythagorean theorem.
thus;
c^2=a^2+b^2
where, c=hypotenuse, a and b are the legs
hence;
15^2+12^2+b^2
b^2=15^2-12^2
b^2=225-144
b^2=81
getting the square root of both sides;
b=sqrt81
b=9
therefore the ladder should be placed 9 feet from the wall for it to reach 12 feet up the building
Answer:
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