Answer:
given a data set of 33 unique whole number observation,its five number sumary is [16, 29, 40 ,54, 67]
Step-by-step explanation:
The p-th percentile in an ordered (from low to high) data set is a value such that p% of the data is less than that value. The quartiles of a data set are the 25th, 50th and 75th percentiles. (The 25th percentile is usually called the first quartile, the 50th percentile is usually called the median, and the 75th percentile is usually called the third quartile.)
The formula for finding the location (or position) of the (approximate) pth percentile in an ordered (from low to high) data set is
L
p=(n+1).p/100
For example, in the data set [2,4,6,8,10,12,14,16,18]
the (approximate) 60th percentile is located at position
L
60=(9+1).60/100=6
that is, the sixth data point (the value 12) is at the (approximate) 60th percentile.(Actually, only 55.6% of the data is below a 12.)
It increases the mean value of the prizes.
Possible number combinations are 1,1 2,1 3,1 4,1 5,1 6,1 1,2 2,2 3,2 4,2 5,2 6,2 1,3 2,3 3,3 4,3 5,3 6,3 1,4 2,4 3,4 4,4 5,4 6,4 1,5 2,5 3,5 4,5 5,5 6,5 1,6 2,6 3,6 4,6 5,6 and 6,6. of those 36 number combinations the ones that add up to more than 10 include: 4,6 5,5 5,6 6,4 6,5 6,6. thats 6 number combinations. 6/36 of the possible sums of the top faces equal out to 10 or more. 6/36=1/6=0.166666666666666666666666(repeating) and to put that in a percentage, 16.7%
the probability is 16.7%
Hope this helps.
Answer:
118°
Step-by-step explanation:
When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.
Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.
Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.
(5x + 17) + (15x - 17) = 180
5x + 15x + 17 - 17 = 180
20x = 180
20x/20 = 180/20
x = 9°
Nkw let's substitute x = 9 into the equations
5x + 17 =
5(9) + 17 =
= 62°
15x - 17 =
15(9) - 17 =
= 118°
Both equations should add up to be 180°.
Therefore the measure of the largest angle is 118°.
Take a look at the photo attached.
