Answer:
it's 2/3piX^3 i got a 100 on the test
Step-by-step explanation:
The numerator is 16 and the denominator is 3.
Answer:0.849185
Step-by-step explanation:
Binomial probability formula we will use:
where,
The computation of the probability will be :
![$P(x \leq 2 ; 5,0.3)=P(x=0 ; 5,0.3)+P(x=1 ; 5,0.3)+P(x=2 ; 5,0.3)+P(x=3 ; 5,0.3)$\\$=\left[\frac{5 !}{5 !(5-0) !}(0.3)^{0}(1-0.3)^{5-0}\right]+\left[\frac{5 !}{5 !(5-1) !}(0.3)^{1}(1-0.3)^{5-1}\right]$$+\left[\frac{5 !}{5 !(5-2) !}(0.3)^{2}(1-0.3)^{5-2}\right]$$++\left[\frac{5 !}{5 !(5-3) !}(0.3)^{3}(1-0.3)^{5-3}\right]$$++\left[\frac{5 !}{5 !(5-4) !}(0.3)^{4}(1-0.3)^{5-4}\right]$\\$=0.1681+0.3601+0.3087+0.006615+0.00567$\\$\Rightarrow 0.849185$](https://tex.z-dn.net/?f=%24P%28x%20%5Cleq%202%20%3B%205%2C0.3%29%3DP%28x%3D0%20%3B%205%2C0.3%29%2BP%28x%3D1%20%3B%205%2C0.3%29%2BP%28x%3D2%20%3B%205%2C0.3%29%2BP%28x%3D3%20%3B%205%2C0.3%29%24%5C%5C%24%3D%5Cleft%5B%5Cfrac%7B5%20%21%7D%7B5%20%21%285-0%29%20%21%7D%280.3%29%5E%7B0%7D%281-0.3%29%5E%7B5-0%7D%5Cright%5D%2B%5Cleft%5B%5Cfrac%7B5%20%21%7D%7B5%20%21%285-1%29%20%21%7D%280.3%29%5E%7B1%7D%281-0.3%29%5E%7B5-1%7D%5Cright%5D%24%24%2B%5Cleft%5B%5Cfrac%7B5%20%21%7D%7B5%20%21%285-2%29%20%21%7D%280.3%29%5E%7B2%7D%281-0.3%29%5E%7B5-2%7D%5Cright%5D%24%24%2B%2B%5Cleft%5B%5Cfrac%7B5%20%21%7D%7B5%20%21%285-3%29%20%21%7D%280.3%29%5E%7B3%7D%281-0.3%29%5E%7B5-3%7D%5Cright%5D%24%24%2B%2B%5Cleft%5B%5Cfrac%7B5%20%21%7D%7B5%20%21%285-4%29%20%21%7D%280.3%29%5E%7B4%7D%281-0.3%29%5E%7B5-4%7D%5Cright%5D%24%5C%5C%24%3D0.1681%2B0.3601%2B0.3087%2B0.006615%2B0.00567%24%5C%5C%24%5CRightarrow%200.849185%24)
The probability that at most 4 are accepted = 0.849185
Answer:
f¹⁶
Step-by-step explanation:
f³*f⁹*f⁴
f⁽³⁺⁹⁺⁴⁾
f¹⁶
Answer:
(3 (pm) sqrt(7))/2
Step-by-step explanation:
First step: Identify a,b, and c
a=2
b=-6
c=1
Second step: Find b^2-4ac (this is called the discriminant-I will call this D)
(-6)^2-4(2)(1)=36-8=28
Third step: Find the square root of the discriminant aka sqrt(D)
sqrt(28)
Let's see if we can simplify sqrt(28)
Here is there a factor of 28 that is a perfect square? How about 4? Yep!
sqrt(28)=sqrt(4)sqrt(7)=2sqrt(7).
Fourth Step: What is -b? If b=-6 then -b=6.
Fifth step: What is 2a? 2(2)=4
So the formula is
x=(-b (pm) sqrt(D))/(2a)
or
x=(step4 (pm) step 3)/(step 5)
x=(6 (pm) 2sqrt(7))/4
Simplify
x=(3 (pm) sqrt(7))/2
*pm means plus or minus
*sqrt( ) means square root of the number that follows in the ( )
