Answer:
P(X ≤ 50) = 0.57
P(X > 25) = 0.76
P(X < 75) = 0.57
Step-by-step explanation:
Given: probability distribution to the number of tubes that will rent on a randomly selected day.
x ⇒ the number of tubes
P(x) ⇒ probability
x : 25 50 75 100 Total
P(x) : 0.24 0.33 0.29 0.14 1
So,
P(x ≤ 50) = P(x = 25) + P(x = 50) = 0.24 + 0.33 = 0.57
P(x > 25) = Total - P(x = 25) = 1 - 0.24 = 0.76
P(x < 75) = P(x = 25) + P(x = 50) = 0.24 + 0.33 = 0.57
The answer is y=-(2)^x + 3
Y<3 because the equation is adding 3 at the end.
Answer:A square would have 360 degrees.
Step-by-step explanation:
Two triangles made up a square. A square has 4 angles each 90 degrees.
90*4=360
The answer would be that the X=3
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5