That's definitely an example of exponential decay, since the base (1/2) (also called the "common ratio") is greater than 0 but less than 1.
Answer:
The null hypothesis is that there is no difference in the mean number of male and female cats
H₀; μ₂ - μ₁ = 0
Step-by-step explanation:
The given parameters are;
The given percentage of male stray cat population = 50%
The given percentage of female stray cat population = 50%
The number of areas the researcher visits, n = 15
The number of stray male cats he finds = 11
The kind of test to be performed = Sign test
The significance level, α = 0.05
A) Therefore the null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0.
Answer:
(a) 13536.10J
(b) 27072.20J
Step-by-step explanation:
(a) Height of tank (h) = 4 feet = 4/3.2808 = 1.22m
Volume of water in full tank = 4ft×5ft×4ft = 80ft^3
Volume of water in half tank = 1/2 × 80ft^3 = 40ft^3
Density of water = 62.4lb/ft^3
Mass of water = density × volume = 62.4 × 40 = 2496lb = 2496×0.45359kg = 1132.16kg
Work done to empty half of the tank = mgh = 1132.16×9.8×1.22 = 13536.10J
(b) Work done to empty all of the tank = 2 × work done to empty half of the tank= 2 × 13536.10J = 27072.20J
Answer:
Some questions didn't show up, so I did the ms. morgan question, and multiplication question.
Ms. Morgan Question:
$1.79. Set up a unit rate and solve. 1 pound is 0.51. 3.5 pounds is 1.79, rounded to nearest hundredth.
Multiplication Question:
25.77 x 8.5 = 219.045
The formula for volume of a sphere is V = 4/3 x PI x r^3
r = half the diameter = 5.5 /2 = 2.75
Using 3.14 for PI, the formula becomes:
V = 4/3 x 3.14 x 2.75^3
Volume = 87.07
Rounded to the nearest cubic meter, answer is A. 87 m^3
