Answer:
Step-by-step explanation:
The given parameters can be represented as:
Solving (a): P(x < 3)
This is calculated as:
----- i.e. all probabilities less than 3
So, we have:
Solving (b): Expected number of events
This is calculated as:
So, we have:
Express as decimal
Approximate to the nearest integer
Ok so we know that the total perimeter of the rectangle is 48m.
We also know that to get the perimeter, it is the sum of two lengths and two widths.
Therefore 2L + 2W = 48
However, we also know that the width is 2m less than the length, so the above equation can be rewritten as:
2L + 2(L-2) = 48
We can simplify this to make it
4L - 4 = 48
So 4L = 52
Hence L = 13.
We know that the width is 13-2, so the width is 11.
So the length is 13m and the width is 11m
Hope this helped
Answer: 8.94
Step-by-step explanation:
By common logic, you can say that l=8, w=4 and h=2.
The diagonal of the base can be found by using Pythagorean Theorem.
Pythagorean Theorem: a²+b²=c²
Since we know the a and b of the base, we can find c, the diagonal.
a and b is the l and w. We can use the equation to find c.
8²+4²=c²
64+16=c²
80=c²
c=√80
c≈8.94
The diagonal is approximately 8.94
Answer:
-4y^2 - 2y + 10
Step-by-step explanation:
The given equation of parabola is:
Part 1) Focus of the Parabola
In order to find the focus and equation of directrix, we first have to convert the given equation to standard form of parabola.
The focus of the general equation of parabola shown below lies at (h+p, k)
Comparing our equation to the general equation we get:
h=0
k=0
p=6
So the focus of given parabola will be (0+6, 0) = (6,0)Part 2) Directix of the ParabolaThe directrix of the general parabola shown above lies at:
x = h - p
Using the values of h and p, we get
x = 0 - 6
x = -6
So, the directrix of the given parabola has the equation x = -6
