Answer:


Step-by-step explanation:
step 1
Find the equation of the solid line
From the graph take the points (0,3) and (4,11)
Find the slope

The equation of the solid line in slope intercept form is equal to

we have

----> the y-intercept is the point (0,3)
substitute

therefore
The inequality is

step 2
Find the equation of the dashed line
The slope is given

From the graph take the y-intercept (0,-5)
The equation of the solid line in slope intercept form is equal to
we have

substitute

therefore
The inequality is

because the shaded region is below the dashed line
therefore
The system of inequalities is


Answer:
l = 32.5 units, w= 27.5 units, A = 893.75 units²
Step-by-step explanation:
width is w
length is l = 5+w
P = 2( l+w) , substitute l for 5+w
P = 2(5+w+w)
P = 2(5+2w)
P = 10 +4w
P = 120
10 +4w = 120
4w = 120-10
4w = 110
w= 110/4
w= 27.5 units
l = 5+w = 5+ 27.5 = 32.5 units
A = l*w = 27.5 * 32.5 = 893.75 units ²
<span>(8,9) m = 0.5
point slope form
y - y1 = m (x - x1)
so
equation
y - 9 = 0.5(x - 8)
answer
</span>
y - 9 = 0.5(x - 8)
Answer:
a) The probability that at least 5 ties are too tight is P=0.0432.
b) The probability that at most 12 ties are too tight is P=1.
Step-by-step explanation:
In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.
a) We can express the probability that at least 5 ties are too tight as:

The probability that at least 5 ties are too tight is P=0.0432.
a) We can express the probability that at most 12 ties are too tight as:

The probability that at most 12 ties are too tight is P=1.
Answer:
cant rlly read the question
Step-by-step explanation: