Answer:
Time required to make a pile of 45 sticks next to their fire = 10 minutes
Step-by-step explanation:
This is an example of arithmetic progression.
First term = 5 - 3 + 7 = 9 sticks
Common difference = 7 - 3 = 4 sticks.
So the number of sticks next to their fire is increasing like this
9, 13, 17, 21 .............
term of AP = a + (n-1) d, we need to find n
a + (n-1) d = 45
9 + (n-1) x 4 = 45
(n-1) x 4 = 36
n - 1 = 9
n = 10
Time required to make a pile of 45 sticks next to their fire = 10 minutes
This is the concept of application of the Pythagorean theorem. The resultant speed of the motorboat which is crossing the river that has a northward current of 5 m/s at a speed of 8 m/s will be given by:
c^2=a^2+b^2
c^2=8^2+5^2
c^2=64+25
c^2=89
c=sqrt89
c=9.4 m/s
Given a data set consisting of 33 unique whole number observations, its five-number summary is: [19,32,47,61,77] how many observations are strictly less than 32?
Solution: The five number summary denotes:
Minimum = 19
First Quartile = 32
Median = 47
Third Quartile = 61
Maximum = 77
Since there are an odd number of observations (33) in the data set, the First Quartile (32) must be at the (33+1)/4 = 8.5th position, meaning there are 7 numbers less than 32.
Therefore, there are 7 observations that are strictly less than 32
3a + a - 15 = 225 . your substituting b(a-15) into the first equation. <span />
