Answer:
no solutions.
Step-by-step explanation:
8x + 14 -4x = 9+4x -5
8x-4x -4x = 9-5-14
0x = -10
anything multiplied by 0 is 0, so it's impossible to get -10 by multiplying by 0
Answer:



Step-by-step explanation:
Given
--- 8 friends
--- proportion that one-time fling
This question is an illustration of binomial probability, and it is represented as:

Solving (a): P(x = 0) --- None has done one time fling




Solving (b): 
To do this, we make use of compliment rule:

Rewrite as:



Solving (c):
--- Not more than 2 has one time fling
This is calculated as:

We have:







So:



Step-by-step explanation:
ABC is an isoceles triangle (both legs are equally long). and AB is its baseline.
OC is now a median for ABC splitting the angle at C and AB in half.
so, we have 2 right-angled triangles : OAC and OBC.
the half-angles at C are 42/2 = 21°.
the angles at A and B are 90°.
and the half-angles at O are 180 - 90 - 21 = 69°.
remember that the sum of all angles in a triangle must always be 180°.
AB are the heights of both of these triangles.
the single height is sin(69)×7 = 6.535062985... cm
and so,
AB = 2× height = 13.07012597... cm.
The length of a circumference: l=πD
l₁=π×5=5π
l₂=π×15=15π
Then l₂÷l₁=15π÷5π=3 and the answer is B)
Answer:
1638
Step-by-step explanation:
3(500)+3(40)+3(6)=1500+120+18=1638