First divide by 2, then you have
1/2x-7=-3
Then add 7 to both sides
1/2x=4
Then then divide by 1/2(which is the same as multiplying by 2)
And
x=8
I believe the formula to find the height would be h= 2a/b and if you use that formula and plug in the area (21.7) of each triangle as well as the base (6) then you would get a height of 7.2 cm. I hope this is correct! :)
Well you have to factor first factoring gives you two value that you can multiply and get you a broken down version of that
you can do it two ways using the quadratic formula to factor or if you're really good at factoring just do it mentally (2x-5)(x+1)=0
for the mental way of doing the factors just set both 2x-5 equal to zero and x+1 = to zero
2x-5=0
2x=5
x= 5/2
x+1=0
x=-1
therefore the solutions are x = 5/2,-1
but if you want to learn how to do it mentally and with the quadratic function formula
let me know
Answer:
0.10512
Step-by-step explanation:
Given the following :
Mean number of calls(μ) in 2 hours = 14
2 hours = 60 * 2 = 120 minutes
Average number of calls in 45 minutes :
= (45 / 120) * 14
= 0.375 * 14
= 5.25
Now find P( x ≤ 2) = p(x = 0) + p( x = 1) + p(x = 2)
Using the poisson probability formula:
P(x, μ) = [(e^-μ) * (μ^x)] / x!
Where :
e = euler's constant
μ = 5.25
x = 0, 1, 2
Using the online poisson probability calculator :
P(x, 5.25) = P( x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x, 5.25) = P( x ≤ 2) = 0.00525 + 0.02755 + 0.07232 = 0.10512
