Answer:
12 nickels and 4 dimes
Step-by-step explanation:
5 x 12 = 60 cents
10 x 4 = 40 cents
_______
100 = 1 dollar
Answer:
X = {8n – 7n – 1 : n ϵ N}
Y = {49 (n –1) : n ϵ N} — (1) [all terms divisible by 49]
X = {8n – 7n – 1}
= (1 + 7)n – 7n – 1
= 1 + nC1 7 + nC2 72 + ….. + nCn 7n – 7n – 1
= nC2 72 + …… + nCn 7n
= 49 [nC2 + nC3 7 + …. nCn 7n-2] — (2)
From (1) and (2),
X is divisible by 49.
Y has all multiples of 49.
X ⊂ Y
Answer:

And we want to find the following probability:

And for this case we can use the cumulative distribution given by:

And for this case if we use this formula and the complement rule we have:

Step-by-step explanation:
Let X the random variable who represent the pizza delivery time and we know that the distribution for x is given by:

And we want to find the following probability:

And for this case we can use the cumulative distribution given by:

And for this case if we use this formula and the complement rule we have:

Answer:
36/5b or 7.2
Step-by-step explanation: