To find:
An irrational number that is greater than 10.
Solution:
Irritation number: It cannot be expression in the form of
, where,
are integers.
For example:
.
We know that square of 10 is 100. So, square root of any prime number is an example of an irrational number that is greater than 10.
First prime number after 100 is 101.
Required irrational number 
Therefore,
is an irrational number that is greater than 10.
Linear. Each increase of 1 in x means a decrease of 3 in y, so it has a consistent slope of -3
Answer:
(1) 0.4207
(2) 0.7799
Step-by-step explanation:
Given,
Mean value,

Standard deviation,

(1) P(X ≥ 17.5) = 1 - P( X ≤ 17.5)




( By using z-score table )
= 0.4207
(2) P(14 ≤ X ≤ 18) = P(X ≤ 18) - P(X ≤ 14)



= 0.9918 - 0.2119
= 0.7799
Answer:
Relative minimum : -36
Relative maximum : 64
The rate of change is 336 greater
Step-by-step explanation:
Relative minimum are the minimum values in the interval
Looking at the graph, we find the lowest point in the interval
Relative minimum : (-3, -36) and (3,-36) y value -36
Looking at the graph, we find the highest point in the interval
Relative maximum : (0,64) y value 64
Average rate of change = f(x2) - f(x1)
---------------
x2 - x1
f(7) - f(5) 1469 - 549 920
------------- = --------------- = ------- = 460
7-5 7-5 2
f(4) - f(2) 287 - 39 248
------------- = --------------- = ------- = 124
4-2 4-2 2
We need to subtract
460-124
336
With the given conditions you should construct no traingle because it is scalene