Answer:
P(X<3) = 0.01004
Step-by-step explanation:
From the given information:
Consider the application of Poisson distribution
with the parameter
;
Therefore, we can calculate the required probability as follows:
P(X< 3) = P(X = 0) + P(X = 1) + P(X =2)
![P(X< 3) = \dfrac{e^{-8.4} 8.4^0}{0!} + \dfrac{e^{-8.4} 8.4^1}{1!} + \dfrac{e^{-8.4} 8.4^2}{2!}](https://tex.z-dn.net/?f=P%28X%3C%203%29%20%3D%20%5Cdfrac%7Be%5E%7B-8.4%7D%208.4%5E0%7D%7B0%21%7D%20%2B%20%20%5Cdfrac%7Be%5E%7B-8.4%7D%208.4%5E1%7D%7B1%21%7D%20%2B%20%20%5Cdfrac%7Be%5E%7B-8.4%7D%208.4%5E2%7D%7B2%21%7D)
![P(X< 3) =e^{-8.4}( 1 + 8.4+35.28)](https://tex.z-dn.net/?f=P%28X%3C%203%29%20%3De%5E%7B-8.4%7D%28%201%20%2B%208.4%2B35.28%29)
P(X<3) = 0.01004
Nickels n
quarters q
I: 3.15=n*0.05+q*0.25
II: n+q=23
isolate n in II:
n+q=23
n=23-q
substitute n in I:
3.15=n*0.05+q*0.25=
3.15=(23-q)*0.05+q*0.25
3.15=(23-q)*(1/20)+(q/4)
3.15=(23/20)-q/20+(q/4)
3.15=1.15-(4*q/20)
2=q/5
10=q
insert q=10 into II:
n+q=23
n+10=23
n=13
so c) 3 more nickels than quarters
Answer:
L=15 W=12 15*12 = 180
Step-by-step explanation:
W*L = area
W*(W+3) = 180
Do the distributive
W^+3 W-180=0
Find 2 numbers that when multiplied ,the result is -180
and when added the result is 3
- 12* 15 = -180
-12 +15 = 3
Answer:
y = 4 , x = 0
Step-by-step explanation:
4x + 2y =8----------equ{1}
make 4x subject of the formula
4x = 8- 2y.................equ(2)
now, substitute 4x into equ{1}
4(8-2y) + 2y = 8
32 - 8y + 2y = 8
Collect like terms
-8y + 2y = 8 - 32
-6y = -24
divide both sides by -6
y = 4
Substitute y into equ(2)
4x = 8-2(4)
4x = 8 - 8
4x = 0
divide both sides by 4
x = o
CHECK
4(0) + 2(4) =8
0 + 8 = 8
Balanced☑️
Could u send me a bigger picture so I can help!