Answer:
95% Confidence interval: (14.4537 ,15.1463)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 feet
Sample mean, 
= 14.8 feet
Sample size, n = 16
Alpha, α = 0.05
Sample standard deviation, σ = 0.65 feet
Degree of freedom = n - 1 = 15
95% Confidence interval:
Putting the values, we get,
is the required confidence interval for the true mean length of rods.
Credit Card Balance: $449.00
Interest Rate: 14.8%
Minimum Payment: $15.00
It will take Laura 3 years, and 2 months to pay off the balance. The total interest would be $114.50
Hope that helps!!!!! (Answer: 3 years and 2 months it will take Laura to pay entire balance on credit card.).
Answer:
The temperature at 9 am = -14.7°F
Between 9am and 12 pm = -14.7 + 17.8 = 3.1°F
Between 12pm and 3 pm = 3.1+5.1 = 8.2°
Between 3pm and 6 pm = 8.2-14.5 = -6.3°F
y = x³ + 3x² - x - 3
0 = x³ + 3x² - x - 3
0 = x²(x) + x²(3) - 1(x) - 1(3)
0 = x²(x + 3) - 1(x + 3)
0 = (x² - 1)(x + 3)
0 = (x² + x - x - 1)(x + 3)
0 = (x(x) + x(1) - 1(x) - 1(1))(x + 3)
0 = (x(x + 1) - 1(x + 1))(x + 3)
0 = (x - 1)(x + 1)(x + 3)
0 = x - 1 or 0 = x + 1 or 0 = x + 3
+ 1 + 1 - 1 - 1 - 3 - 3
1 = x or -1 = x or -3 = x
Solution Set: {-3, -1, 1}
To find if a series is either geometric or arithmetic:
it must satisfy this property:
Arithmetic:
a(n+1) - a(n) = const
Geometric:
a(n+1)/a(n) = const
In your case:
r1 = 7 -4 = 3
r2 = 12 - 7 = 5
r1 != r2 (not arirthmetic)
Geometric check:
r1 = 7/4
r2 = 12/7
r1 != r2 (not Geometric)
so neither.
