Answer:
The coordinates of the point that is 1/5 the way from A to B is 
Step-by-step explanation:
Here, the given points are: A (-7,4) and B (3,10)
Let us assume the point M(x,y) on AB is such that
AM : AB = 1 : 5
⇒ AM : (AB - AM) = 1 : (5-1) = 1: 4
⇒ AM : MB = 1 : 4
Now, The Section Formula states the coordinates of point (x,y) on any line dividing the line in the ratio m1 : m2
Here, in the given equation, m1: m2 = 1:4
So, the coordinates M(x,y) is given as:
Hence, the coordinates of the point that is 1/5 the way
from A to B is
It will be understood that population 6,000 billion (6*10^12) in 2017.
If this is not the case, follow the logic and the final number can be adjusted easily.
Mathematical answer:
In 2017: 6,000 billion=6000*10^9 =6*10^12
rate of increase = 1.3% per year (assumed constant)
final year = 2100
Population estimate in 2100
=6*10^12*(1.013^(2100-2017))
=6*10^12*(1.013^(83)
=6*10^12*(2.921352509198383)
=17.528*10^12
=17,528 billion.
Answer:
(B) The correct interpretation of this interval is that 90% of the students in the population should have their scores improve by between 72.3 and 91.4 points.
Step-by-step explanation:
Confidence interval is the range the true values fall in under a given <em>confidence level</em>.
Confidence level states the probability that a random chosen sample performs the surveyed characteristic in the range of confidence interval. Thus,
90% confidence interval means that there is 90% probability that the statistic (in this case SAT score improvement) of a member of the population falls in the confidence interval.
