Answer:
Step-by-step explanation:
x=120°
Answer: x = 1 , y = 5
Step-by-step explanation:
1. commutative property of addition (can change the order of addition operations)
2. distributive property (alternative to order of operations you can multiply coefficient by each term in parenthesis)
3. associative property of multiplication (move in and out of parenthesis)
4. commutative property of multiplication (can change the order of multiplication operations)
5. associative property of addition
The volume of a cylinder:
V = πr²H
A diameter is equal 2r (r-a radius), therefore 2r = 10in ⇒ r = 5in.
H = 3r ⇒ H = 3 · 5in = 15in
subitute:
V = π · 5² · 15 = π · 25 · 15 = 375π (in³) ≈ 375 · 3.14 = 1,177.5 (in³)
Answer: V = 1,177.5 in³
Answer:
The 95% CI is (6.93% , 7.47%)
The 99% CI is (6.85% , 7.55%)
Step-by-step explanation:
We have to estimate two confidence intervals (95% and 99%) for the population mean 30-year fixed mortgage rate.
We know that the population standard deviation is 0.7%.
The sample mean is 7.2%. The sample size is n=26.
The z-score for a 95% CI is z=1.96 and for a 99% CI is z=2.58.
The margin of error for a 95% CI is
Then, the upper and lower bounds are:
Then, the 95% CI is
The margin of error for a 99% CI is
Then, the upper and lower bounds are:
Then, the 99% CI is