Answer:
1/2
Step-by-step explanation:
Based on the information observed from the attached box and whisker plot, the Fraction of dunk tanks which requires atleast 500 gallons of water. This fractional value will be the property of plot in the position marked as 500 on the plot. The point which refers to 500 gallons on the plot is the ticked point in between the box. This point represents the median value in a box and whisker plot.
The median value represents the 50th percentile value which relates to half of the distribution. This means that fraction of dunk which requires atleast 500 gallons is : (50/100) = 1/2
There's a couple ways to do this. These look like special triangles to me. Which should be the 30 60 90 triangle's which have the same ratios for their legs. The legs will always be square root three and one and the hypotenuse of two - I can't see what I'm typing for some reason so I will finish in a comment
Answer:
9 and 11
Step-by-step explanation:
let the consecutive odd integers be n and n + 2 , then
4n = 5(n + 2) - 19 , that is
4n = 5n + 10 - 19 ( subtract 5n from both sides )
- n = - 9 ( multiply both sides by - 1 )
n = 9 and n + 2 = 9 + 2 = 11
The 2 integers are 9 and 11
You can get the tens digit of any number <em>n</em> by computing the quotient
(<em>n</em> (mod 100)) / 10
and ignoring the remainder.
Taking the given sum (mod 100) gives
7! + 8! + … + 2006! ≡ 7! + 8! + 9! (mod 100)
since the last 1997 terms (i.e. 10! up to 2006!) in the sum are multiples of 100. That is,
• every term beyond 100! is obviously a multiple of 100
• every term beyond 25! contains a factor of both 4 and 25
• every term beyond 10! contains two factors each of both 2 and 5 (i.e. every factorial term contains 4, 5, and 10)
The remaining sum is easy to compute by hand:
7! + 8! + 9! = 7! (1 + 8 + 8 × 9) = 5040 × 81 = 408,240
so the tens digit is 4.
