Answer:
117.8
Step-by-step explanation:
i used heron's formula
√s(s-a)(s-b)(s-c)
s= (20+16+33)/2 = 34.5
√34.5(34.5-20)(34.5-16)(34.5-33)
= 117.8
The formula to calculate standard deviation from probability is \sqrt(n*p*(1-p)). n is the sample size, and 200 in this case (number of putts for practice). p is 80% or 0.8, the probability that he can make it. So the standard deviation is \sqrt(200*0.8*(1-0.8)=\sqrt(200*0.8*0.2)=\sqrt(16)=4.
Answer:
Step-by-step explanation:
We can combine the -7x and the -2x and the left side to get -9x and the 23 and 13 on the right side to get 36.
This gives us
-9x + 12 = 36
Subtacting 12 from both sides gives us
-9x = 24
dividing by -9 gives us
x = - 8/3
Answer:
Step-by-step explanation:
The given function is f(x)=x.
If we stretch vertically by a factor of 4 and a translation of 4 units up then the new function becomes
But f(x)=x
We substitute to obtain the equation of g(x) as
