Step-by-step explanation:
Let's say the two digit number is 10x + y, where x is the first digit and y is the second digit.
The sum of the digits is 8:
x + y = 8
If 8 is subtracted from the number, the digits switch place.
10x + y − 8 = 10y + x
Simplify the second equation:
9x − 8 = 9y
Substitute from the first equation.
y = 8 − x
9x − 8 = 9 (8 − x)
9x − 8 = 72 − 9x
18x = 80
x = 4.444
There's a problem. x isn't an integer. Are you sure you copied the problem correctly? Perhaps you meant if 18 is subtracted from the number, the digits switch place.
9x − 18 = 9 (8 − x)
9x − 18 = 72 − 9x
18x = 90
x = 5
y = 8 − x
y = 3
So the number is 53.
Pounds of butter=1/10 (potatoes)
=1/10 (12.5)
=1.25 pounds
Ellie uses 1.25 pounds of butter
Answer:
0.9953, 3.3629<x<4.0371
Step-by-step explanation:
Given that slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to complete the form is normally distributed witha standard devait of the 30 minutes:
If X represents the time to complete then
X is N(3.7, 0.5) (we convert into uniform units in hours)
a) percent of people would you expect to complete the form in less than 5 hours
=
b) P(b<x<c) = 0.50
we find that here
c = 4.0371 and
b = 3.3629
Interval would be
