Answer:
The number of bicycles in the store is
Step-by-step explanation:
Let
x------> the number of bicycles
y-----> the number of tricycles
we know that
The bicycles has two wheels and the tricycles has three wheels
so
------> equation A
------> equation B
substitute equation B in equation A and solve for y
Find the value of x
Radius of 1 button = r = 3x
Fabric required to cover 1 button = Area of the circle
=
=
=
Total number of buttons = x
Fabric required to cover 1 button =
Fabric required to cover x buttons =
Hence, fabric required to cover x buttons sq. units
Answer: (20.86, 22.52)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-
, where = sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
By considering the given question , we have
n= 58
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, 95% confidence interval for the amount of time spent on administrative issues will be :
Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)
Answer:
There is no solution to the problem
Step-by-step explanation:
In order to find the solutions to the problem you can write the situation in an algebraic form.
You have that a number is equal to twice a smaller number plus 3. This can be written as follow:
(1)
where x is the number and y is the smaller number
Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:
(2)
To find the solution you equal the equation (1) with (2), and you solve for y:
You obtain an inconsistency, hence, the situation of the problem does not have solution