Multiply 1/9 by 9r and 3 = r + 1/3
then distribute the - sign = -r -4
and solve the problem r + 1/3 - r - 4 = 1/3-4 = -11/3
Answer:

Step-by-step explanation:
Given
See comment for data
Required
The lower limit 94% confidence interval
First, calculate the mean




Next, calculate the standard deviation using:

So, we have:




For 94% interval, the z score is

So, the margin of error (E) is:




The confidence interval of the true mean is:

The lower limit (L) is:



and the upper limit (U) is



Answer:
3+d=q and 0.10d+0.25q=1.80
There are 3 dimes and 6 quarters.
Step-by-step explanation:
This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
We know there are three more quarters than dimes. We write that as 3+d=q.
We also know the total cost and the value of each coin. We write 0.10d+0.25q=1.80.
We substitute 3+d for q in the second equation.
0.10d+0.25(3+d)=1.80
0.10d+0.75+0.25d=1.80
0.35d+0.75=1.80
We isolate the variable by subtracting 0.75 across the equal sign and then dividing by the coefficient of d.
0.35d=1.05
d=3
There are 3 dimes.
The answer is B
Hope it helps
Let's determine the
measures of the angles
formed by two heights of an equilateral triangle.