Answer:
The probability that occurrence of 8 in ten minutes is 0.0771.
Step-by-step explanation:
Poisson Distribution:
A discrete random variable X having the enumerable set {0,1,2,.....} as the spectrum, is said to have Poisson distribution with parameter
(>0), if the p.m.f is given by
for x=0,1,2,...
= 0, elsewhere
The mean number of occurrences in ten minutes is 5.3.
Here
= 5.3 and x= 8

=0.0771
The probability that occurrence of 8 in ten minutes is 0.0771.
As, synthetic division by -4 gives remainder 0. Hence, Option B is correct. -4 is a root of 
As, x+4=0 gives x=-4.
So, option C is correct,
(x+4) is factor of 
Option E is correct

We know that
<span>to convert feet to inches we must multiply by 12
</span>4. The distance covered by the cook in Triangle A equals
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*16*12=2880 in
then add, 960 + 2640 + 2880 = 6480 in
the answer asks for the distance in 18 in lengths
so divide 6480 by 18 -------------> 6480/18=360
the answer part N 4) is 360 eighteen-inch steps
<span>
5. The distance covered by the cook in Triangle B equals
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*16*12=1920 in
c) sink and stove--------------> 15*16*12=2880 in
</span><span>then add, 960 + 1920 + 2880 = 5760 in
</span>
<span>the answer asks for the distance in 18 in lengths
so divide 5760 by 18 -------------> 5760/18=320
</span><span>
the answer part N 5) is 320 </span>eighteen-inch steps
6. The distance covered by the cook in Triangle A equals
a) fridge and stove-----------> 5*15*12=900 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*15*12=2700 in
then add, 900 + 2640 + 2700 = 6240 in
the answer asks for the distance in 18 in lengths
so divide 6240 by 18 -------------> 6240/18=346.67------> 347
the answer part N 6) is 347 eighteen-inch steps<span>
</span>
8 * 54 = 8 * 50 + 8 * 4 = 8(50 + 4)