Thirteen plus seven is twenty. One fourth of twenty is five.
The answer is five.
We need the perimeter of the window for framing
The window is in the shape of a rectangle with the height of

feet and width of

. The diagram of the shape is shown below
The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.
The perimeter of the window is

=
We have two whole numbers 18 and 12 and two fractions

and

Adding the two fractions that have different denominator

, which is an improper fraction which we can change into a mixed number

So the perimeter of the window is
and the length of wood needed for the frame is

feet
Answer:
discriminant: 241
2 real roots
Step-by-step explanation:
The discriminant is the part of the quadratic equation that is under the sqare root
x=(-b±√(b²-4ac))/2a
discriminant: b²-4ac
We also know that a quadratic equation is in the form ax²+bx+c = 0, so we can plug in the values we know from our equation to find the discriminant.
a=4
b=-17
c=3
(-17)^2-4(4)(3)
We also know that if the discriminant
is positive we have 2 real roots
is 0 we have 1 real root aka a repeated real solution
is negative we have no real roots
Hello!
Since we want to find out how many rooms will be needed for 44 people, we must use division.
44 ÷ 5 = 8.8
Check by multiplying:
5 × 8 = 40
Because 40 is less than the amount of people (44), we'll need to multiply by the next number in line (9):
5 × 9 = 45 (1 extra person, no biggie!)
The tour group will need 9 rooms.
Answer:
The PMF of B is given by
P(B=0) = 0.7
P(B=1) = 0.16
P(B=2) = 0.08
P(B=3) = 0.04
P(B=4) = 0.02
Step-by-step explanation:
Let x denote P(B=1), we know that
P(B=0) = 1-0.3 = 0.7
P(B=1) = x
P(B=2) = x/2
P(B=3) = x/4
P(B=4) = x/8
Also, the probabilities should sum 1, thus
0.7+x+x/2+x/4+x/8 = 1
15x/8 = 0.3
x = 0.16
As a result, the PMF of B is given by
P(B=0) = 0.7
P(B=1) = 0.16
P(B=2) = 0.08
P(B=3) = 0.04
P(B=4) = 0.02