Answer:
4(x-1)units
Step-by-step explanation:
In a given rectangle, the length of the rectangle is the shorter side while its breadth is the longer side.
Since we have 2 lengths and 2 breadths in a rectangle, the perimeter of the rectangle will be 2L+2x where
L is the length(shorter side) and x is the breadth (longer side).
According to the question, the shorter side(L) is 2 units less than the longer side(x). Mathematically,
L = x-2
Substituting L = x-2 into the formula of perimeter of a rectangle we have,
P = 2(x-2) + 2x
P = 2x-4+2x
P = 4x-4
P = 4(x-1)
The perimeter of the rectangle will be 4(x-1)units
Depends on what you are talking about, what is A,x,c and b.
If A is an invertible matrix and x,c,b are vectors of correct dimensions you get
Ax=b+c
x=A^(-1)(b+c)
if x is a variable and A,c,b are constants you get
Ax=b+c
x=(b+c)/A
Answer:
B (0.312, 0.364)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of 
For this problem, we have that:
1289 randomly selected American adults responded to this question. This means that
.
Of the respondents, 436 replied that America is doing about the right amount. This means that
.
Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party.
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval is:
B (0.312, 0.364)
Answer:
x = 3 and 7
There are two true solutions.
Step-by-step explanation:
To solve
, use inverse operations by squaring both sides of the equal sign.

The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.
(x - 3) ( x - 7) = 0
x-3 = 0 so x=3
x-7 = 0 so x=7
Now check each solution into the original equation to be sure it solve the solution and is not extraneous.

and
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Answer:
m=1
Step-by-step explanation: