For binomial distribute we use formula
the probability mass function of the binomial distribution is:
Given n = 12 and π = .6. (Replace the values)
the probability for x = 5, we need to find P(x=5). Here r= 5
P(x=5)= 
= 
= 0.10090 = 0.101
(b) the probability for x ≤ 5
P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)
P(x<=5) = 
+ 
+ 
+ 
+ 
+
= 0.15821229 = 0.158
(c) find the probability for x ≥ 6
P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)
P(x>=6) = 
+ 
+ 
+ 
+ 
+ 
+ 
= 0.8417877 = 0.0842 (rounded to 3 decimal places)
Answer:
31√3
Step-by-step explanation:
48√3 + 45/√3 since the base is same we can add the terms up 93√3
➡ 93/√3 × √3/√3 = 93√3/3 ➡ 31√3
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
We ahve the slope m = 1/2 and the point (-2, 1). Substitute:
- point-slope form
Covert to the slope-intercept form (y = mx + b):
<em>use the distributive property</em>
<em>add 1 to both sides</em>
- slope-intercept form
Convert to the standard form (Ax + By = C):
<em>multiply both sides by 2</em>
<em>subtract x from both sides</em>
<em>change the signs</em>
- standard form
Convert to the general form (Ax+By+C=0):
<em>add 4 to both sides</em>
- general form
I believe you have to get all the like terms on the same side. So since 7m+n is being divided by Q in order to move it to the other side of the equal sign you must multiply each side by Q. Then you would end up with 7m+n=2m(q). 7m and 2m are alike so you then take the 2m and subtract it from each side. So your equation should look like 7m-2m+n=Q. Then combine your like terms and you end up with 5m+n=q
