Answer:
There are no possible solutions
Step-by-step explanation:
Given:
Minimum number of coins Alexa has =28 coins
Number of quarters Alexa has = 17 quarters
Total amount in coins = $5.05 = 505 cents
Let number of dimes be =
coins
So we can have two inequalities.
1) Total number of coins
[Since minimum number of coins=28]
2) Total value of coins
[As 1 dime=10 cents and 1 quarter=25 cents]

Solving inequality (1)
Subtracting both sides by 17.

∴ 
Solving inequality (2)
Subtracting both sides by 425.


Dividing both sides by 10.

∴ 
On combining both solutions
and
,
we see that there are no possible solutions as number of dimes cannot be ≥11 and ≤8 at the same time.
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The standard deviation is 
The sample mean is 
The sample size is n = 6 packs
The standard error of the mean is mathematically represented as

substituting values


Given that the can’s contents follow a Normal distribution then then the probability that the mean contents of a six-pack are less than 12 oz is mathematically represented as

Generally 
So

substituting values


From the normal distribution table the value of
is

=> 