Answer:
5/14
Step-by-step explanation:
P(A or B) = P(A) + P(B) − P(A and B)
25/28 = 23/28 + 12/28 − P(A and B)
P(A and B) = 10/28
P(A and B) = 5/14
I think the answer is 7.725 so sorry if I’m wrong but see if that answer is correct
Answer:
A) 5 3/10
B) 785 3/20
Step-by-step explanation:
Hope this helps <3
you find a common denominator and then simplify all fractions to that common denominator. then, you add them up!
2 1/5 + 3 1/10
5 can fit into 10 twice so it becomes...
2 2/10 + 3 1/10 which equals
<u>5 3/10</u>
472 2/5 + 312 3/4
5 times 4 is 20
472 8/20 + 312 15/20
there is a remainder of 3 for the fractions so you put it over 20.
<u>785 3/20</u>
Answer:
Step-by-step explanation:
Garrett achieves a field goal is independent of each kick. Hence X no of kicks is binomial with p = 0.83, and q =0.17
No of trials 3
Hence X can take values as 0 ,1,2,3 and
![P(X=r) = 4Cr(0.83)^r (0.17)^{4-r}](https://tex.z-dn.net/?f=P%28X%3Dr%29%20%3D%204Cr%280.83%29%5Er%20%280.17%29%5E%7B4-r%7D)
, r=0,1,2,3
Using the above we obtain prob distribution as
X 0 1 2 3
P(X) 0.0049 0.0720 0.3513 0.5718
P(X>=2) =P(X=2,3,4) =0.9231
-----------------------------------------
2) Z value for company A =![\frac{260-272}{5.4} =-2.22](https://tex.z-dn.net/?f=%5Cfrac%7B260-272%7D%7B5.4%7D%20%3D-2.22)
Z value for company B = ![(260-249)/3.8 =2.89](https://tex.z-dn.net/?f=%28260-249%29%2F3.8%20%3D2.89)
From z value probablility is more for company A as
P(Z>-2.22) >P(Z>2.89)
Answer:
Option A.
and ![x\geq 0](https://tex.z-dn.net/?f=x%5Cgeq%200)
Step-by-step explanation:
we know that
The solution of the first inequality is the shaded area below the solid line ![4x+3y=12](https://tex.z-dn.net/?f=4x%2B3y%3D12)
The solid line passes through the points (0,4) and (3,0) (the y and x intercepts)
therefore
The first inequality is
![4x+3y\leq 12](https://tex.z-dn.net/?f=4x%2B3y%5Cleq%2012)
The solution of the second inequality is the shaded area to the right of the solid line x=0
therefore
The second inequality is
![x\geq 0](https://tex.z-dn.net/?f=x%5Cgeq%200)