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:
15 x 30
Step-by-step explanation:
Distribute -5 to each variable in the parenthesis.
-5 x -3 = 15
-5 x -6 = 30
15 x 30
Answer:
a)HCF between 774&252 is=18
LCM between 774&252=10836
b)HCF between 204&544 is=68
LCM between 204&544 is=1632
c)HCF between 770&385 is=385
LCM between 770&385 is =770
d)HCF between 477&552=3
LCM between 447&552 is =82248
Step-by-step explanation:
a)because LCM=2×2×3×3×7×43
b)because LCM=2×2×2×2×2×3×17
c)because LCM=2×5×7×11
d)because LCM=2×2×2×3×23×149
1) y= -5
2) m = -1
3) k = 3
4) y = -5
Step-by-step explanation:
1) 
Solving:
2) ![8(-1+m)+3 = 2 [m-5 1/2]\\](https://tex.z-dn.net/?f=8%28-1%2Bm%29%2B3%20%3D%202%20%5Bm-5%201%2F2%5D%5C%5C)
Solving:
![8(-1+m)+3 = 2 [m-5 \frac{1}{2} ]\\-8+8m+3=2 [m-\frac{11}{2} ]\\8m-5=2 [\frac{2m-11}{2} ]\\8m-5=2m-11\\Combining\,\,like\,\,terms:\\8m-2m=-11+5\\6m=-6\\m=-6/6\\m=-1](https://tex.z-dn.net/?f=8%28-1%2Bm%29%2B3%20%3D%202%20%5Bm-5%20%5Cfrac%7B1%7D%7B2%7D%20%5D%5C%5C-8%2B8m%2B3%3D2%20%5Bm-%5Cfrac%7B11%7D%7B2%7D%20%5D%5C%5C8m-5%3D2%20%5B%5Cfrac%7B2m-11%7D%7B2%7D%20%5D%5C%5C8m-5%3D2m-11%5C%5CCombining%5C%2C%5C%2Clike%5C%2C%5C%2Cterms%3A%5C%5C8m-2m%3D-11%2B5%5C%5C6m%3D-6%5C%5Cm%3D-6%2F6%5C%5Cm%3D-1)
3) 
(Note: Considering 8(12-k)=3(k+21) instead of 8(12-k)=3(k=k+21))
Solving:
4) 
Solving:
Keywords: Solve for variables.
Learn more about Solve for variables at:
#learnwithBrainly
Answer:
5 units is the correct value of W
