1.06(12.25 + x) = 19.08
12.25 + x = 19.08/1.06 = 18
x = 18 - 12.25 = 5.75
Therefore, the cost of the cat food is $5.75
Answer: Correct critical value = 2.2622
Step-by-step explanation:
Confidence interval for population mean when population standard deviation is unknown:
, where
= sample mean, n= sample size, s= sample standard deviation,
= two-tailed t value.
As per given: n= 10
degree of freedom : df = n-1=9

Critical t-value : 
So, the 95 percent confidence interval estimate for the mean :

The 95 percent confidence interval estimate for the mean:(190.14, 295.06)
Step 1: Y= 27 - 4x
To find X - intercept / zero, substitute Y = 0
0 = 27 - 4x
Step 2: 0 = 27 - 4x
Move variable to the left-hand side and change it's sign.
4x = 27
Step 3: 4x = 27
divide both sides of the equation by 4
X = 27/4
solution: X = 27/4
Alternate form: X = 6 3/4, X = 6.75
That expression is the expected value of your winnings, or "the average amount you will win (or lose) per game in the long run".