Answer:
The standard deviation of x is 2.8867
Step-by-step explanation:
The standard deviation of variable x that follows a uniform distribution is calculated as:

Where (a,b) is the interval where x is defined.
So, replacing a by -4 and b by 6, the standard deviation is:





Answer:
slope = 0
Step-by-step explanation:
The line shown is horizontal and parallel to the x- axis.
Since the x- axis has a slope of zero
Then the given line has a slope = 0
The answer should be 0.5x^4+12.5
Answer:
- after week 7: 4374 pennies
- 486 pennies: after week 5
Step-by-step explanation:
The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...
an = 6·3^(n-1)
This can be rearranged to ...
an = 2·3^n
__
When n=7, the value is ...
a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks
__
To find when there are 486 pennies saved, we can solve the equation ...
486 = 2·3^n
243 = 3^n
log(243) = n·log(3) . . . . . . . take the logarithm
log(243)/log(3) = n = 5 . . . . divide by the coefficient of n
Tabitha will have saved 486 pennies after 5 weeks.