Answer:
x = (d + b) / (2a - c)
Step-by-step explanation:
2ax-b = cx+d
2ax - cx = d + b
x (2a-c) = d + b
x = (d + b) / (2a - c)
Answer:
(x-2) (x^2 -5)
Step-by-step explanation:
x^3 − 2x^2 − 5x + 10
We will factor by grouping
Take and x^2 out of the first two terms and -5 out of the last two terms
x^2 (x-2) -5(x-2)
Now we can factor out (x-2)
(x-2) (x^2 -5)
Answer:
5 years.
Step-by-step explanation:
Every year the population increases by a factor 103.5% or 1.035.
The equation relating population and time in years is:
P = 6000(1.035)^t (This is an example of exponential growth)
So we have:
7100 = 6000(1.035)^t
(1.035)^t = 7100/6000
(1.035)^t = 1.1833
t ln 1.035 = ln 1.1833
t = ln 1.1833/ln 1.035
= 4.89.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
Arrange the value into the ascending order:

Calculating the Range:
Outlier = This might be the value "far" from other data values= 62
The range of scores would be, sans outlier,

Calculating the range without outlier
Inter Quartile Range

Calculating the IQR without outlier
Therefore,
Option a is "True".
Option b is "True".
Option c is "True".
Option d is "False".
Option e is "False".
Option f is "True".
Answer:
a = 24*1/3
a =8
Step-by-step explanation:
We are using proportions to solve this problem by putting students over adults
students 3 24
--------------- = --------------- = -------------
adults 1 a
where a is the unknown number of adults
Using cross products
3a=24*1
Divide by 3
a = 24*1/3
a = 24/3
a = 8