Answer:
Step-by-step explanation:
prob(grow) = .65
prob(not grow) = .35
prob(1 of 11 will not grow)
= C(11,1)(.35)(.65)^10
= .05183
Answer:
D. 11.25 students per year
Step-by-step explanation:
Answer:
x<120
Step-by-step explanation:
-30<x/-4
In order to simplify this, we must isolate the x value by multiplying both sides by -4
Since we are dealing with inequalities and we are multiplying by a negative number, we have to switch the sign (<,>)
-30(-4)>x
x<120
Answer:
Yes
Step-by-step explanation:
In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.
With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:
a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true
a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true
b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true
Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.
<em>~ an aesthetics lover</em>
I think the answer is o.o416
