Answer:
a) (iv) Poisson.
b) E(X)=V(X)=λ=4.8
c) E(Y)=24,000
V(Y)=120,000,000
Step-by-step explanation:
We can appropiately describe this random variable with a Poisson distribution, as the probability of having a pothole can be expressed as a constant rate per mile (0.16 potholes/mile) multiplied by the stretch that correspond to the county (30 miles).
The parameter of the Poisson distribution is then:
b) The expected value and variance of X are both equal to the parameter λ=4.8.
c) If we define Y as:
the expected value and variance of Y are:
Using the cosine rule we can work out the length of the side opposite the indicated right angle which came to be 15mm
then the final answer came to be 163mm^2
Answer: slope = -35, y intercept = 280, equation = y = -35x + 280
Step-by-step explanation:
Standard form is simply 0.0472
Expanded Numbers Form:
<span><span> 0 </span><span>+ 0.0</span><span>+ 0.04</span><span>+ 0.007</span><span>+ 0.0002</span></span>
Expanded Factors Form:
<span><span> 0 ×1 </span><span>+0 × 0.1</span><span>+4 × 0.01</span><span>+7 × 0.001</span><span>+2 × 0.0001</span></span>
Expanded Exponential Form:
<span><span>0 × 100</span><span>+<span>0 × 10-1</span></span><span>+<span>4 × 10-2</span></span><span>+<span>7 × 10-3</span></span><span>+<span>2 × 10-4</span></span></span>
Word Form:
<span>four hundred seventy-two ten-thousandths</span>