Answer:
x = -4 thus negative
Step-by-step explanation:
Solve for x:
3 x + 12 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 12 from both sides:
3 x + (12 - 12) = -12
Hint: | Look for the difference of two identical terms.
12 - 12 = 0:
3 x = -12
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 3 x = -12 by 3:
(3 x)/3 = (-12)/3
Hint: | Any nonzero number divided by itself is one.
3/3 = 1:
x = (-12)/3
Hint: | In (-12)/3, divide 12 in the numerator by 3 in the denominator.
12/3 = (3×4)/3 = 4:
Answer: x = -4
Answer:
56 m²
16 m²
88 m²
Step-by-step explanation:
The formula for the area of a rectangle is:
A=L×W (area=length × width)
A=7×8
A=56m²
The formula for the area of triangle is:
1/2×b×h (1/2 × base × height)
A=1/2×4×8
A=2×8
A=16m²
For the total area you will now add the area of each shape. We will multiply triangle area by 2 because there is 2 triangles.
A=56+2(16)
A=56+32
A=88m²
Answer:
a) 0.0821
b) 0.0111
c) 0.0041
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

In all 3 cases, we want P(X > 5). So

In which

(a) lambda=.5


(b) lambda=0.9


(c) lambda=1.1

