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
(a) without replacement:
P(S)=13/52=1/4
P(SS)=(1/4)*(12/51)=1/17
Probability of selecting two spades without replacement is 1/17.
(b) with replacement
P(S)=13/52=1/4
P(SS)=(1/4)(13/52)=1/16
Probability of selecting two spades with replacement is 1/16.
Answer:
your answer is 0.75
Step-by-step explanation:
Let x is the first no. then the other no. will obviously be (x+1)
according to question,
(x+1)²- x²= 15
x² +2x+1 - x² = 15 ( using (a+b)²= a²+ b² + 2ab )
2x + 1 = 15
2x = 14
x = 7
hence numbers are x = 7 and x +1 = 7+1 = 8
also 8²-7² = 64-49 = 15
hence the numbers are 7 and 8
hope it helped
Answer:

Explanation:
While solving literal equations could be quite overwelhming, simply solve it by using normal equation solving methods.
For example, if you were to solve 2x + 3 = 9
You would add 3 on both sides and divide both sides by 2 to determine x.
Do the same thing for literal equations, and if in doubts, plug in numbers to check your work.
Step-by-step explanation:
For this problem, add c on both sides, we do this because we are aiming to eliminate the c from both sides.
a+c =2b
In order to find the value of b, divide both sides by 2, we do this because we want to get rid of the coefficient.
This should leave you with the answer of b=a/2 + c/2