Answer:
The perimeter is 7 dm
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Let
c------> the length of the third side
case a)
1+c>3
c>2 dm
case b)
1+3> c
4 > c
rewrite
c<4 dm
The solution for c is the interval------> (2,4)
therefore
the value of c must be equal to
c=3 dm (because is an integer)
The perimeter is equal to
P=1+3+3=7 dm
To solve this, you need to isolate/get the variable "m" by itself in the equation:
1. 2m - 1 = 3m Subtract 2m on both sides to get "m" on one side of the equation
2m - 2m - 1 = 3m - 2m
-1 = m
2. 2m = 1 + m Subtract m on both sides to get "m" on one side of the equation
2m - m = 1 + m - m
m = 1
3. m - 1 = 2 Add 1 on both sides to get "m" by itself
m - 1 + 1 = 2 + 1
m = 3
4. 2 + m = 3 Subtract 2 on both sides to get "m" by itself
m = 1
5. -2 + m = 1 Add 2 on both sides to get "m" by itself
m = 3
6. 3 = 1 + m Subtract 1 on both sides to get "m" by itself
2 = m
The answer is option B. 11/12 = (13 3/4) /15
it could be considered a true proportion if both are equal in values.
In order to find this, you need to cross multiply the numerator and the denominator in all of those options and find which give the exact result.
11 x 15 = 13 3/4 x 12
165 = 165
The 25th percentile corresponds to z ≈ -0.67.
The 90th percentile corresponds to z ≈ 1.28.
So, you can write two equations in μ and σ as here:
.. μ -0.67σ = 10
.. μ +1.28σ = 20
The solution is
.. μ ≈ 13.45
.. σ ≈ 5.11
