Answer:
x = -3/8
Step-by-step explanation:
4(3 - 2x) = 15
Distribute
12 -8x = 15
Subtract 12 from each side
12-8x-12 =15-12
-8x =3
Divide by -8
-8x/-8 = 3/-8
x = -3/8
Answer:
9 cm
Step-by-step explanation:
Use the cone volume formula, V =
r²
Plug in the volume and radius, and solve for h, the height:
V =
r²
27
=
(3²)
27
= 9

3 = 
9 = h
So, the height of the cone is 9 cm
Answer:
0.1019
Step-by-step explanation:
Probability, p=12%=0.12
Sample size, n=130 students
Those writing with left=14 students
Using the formula for binomial distribution
P(X≤x)=![\left[\begin{array}{}n\\x\end{array}\right]p^{x}(1-p)^{n-x}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7B%7Dn%5C%5Cx%5Cend%7Barray%7D%5Cright%5Dp%5E%7Bx%7D%281-p%29%5E%7Bn-x%7D)
Substituting 0.12 for p, 130 for n, 14 for x we obtain
P(X≤x)=![\left[\begin{array}{}130\\14\end{array}\right]0.12^{14}(1-0.12)^{130-14}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7B%7D130%5C%5C14%5Cend%7Barray%7D%5Cright%5D0.12%5E%7B14%7D%281-0.12%29%5E%7B130-14%7D)
P(X≤x)=
P(X≤x)=0.1019
Answer:
94
Step-by-step explanation:
I think the answer would be d(greater than or equal to) -28