Answer:
The correct option is b) 4.71
Step-by-step explanation:
Consider the provided information.
Test statistic for proportion: ![z=\frac{\hat p-p}{\sqrt{\frac{pq}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B%5Chat%20p-p%7D%7B%5Csqrt%7B%5Cfrac%7Bpq%7D%7Bn%7D%7D%7D)
It is given that the claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n=800 deaths of the elderly with 15 percent of them attribute to residential falls.
Therefore,
, p = 0.1, q = 1-0.1 = 0.9 and n = 800.
Substitute the respective values in the above formula.
![z=\frac{0.15-0.1}{\sqrt{\frac{0.1\times0.9}{800}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B0.15-0.1%7D%7B%5Csqrt%7B%5Cfrac%7B0.1%5Ctimes0.9%7D%7B800%7D%7D%7D)
![z=\frac{0.05}{\sqrt{\frac{0.09}{800}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B0.05%7D%7B%5Csqrt%7B%5Cfrac%7B0.09%7D%7B800%7D%7D%7D)
![z\approx4.71](https://tex.z-dn.net/?f=z%5Capprox4.71)
Hence, the correct option is b) 4.71
Answer:
![A) P(t)=7652(1.016)^t](https://tex.z-dn.net/?f=A%29%20P%28t%29%3D7652%281.016%29%5Et)
Explanation:
<em><u>(A) Use the exponential growth model to write an equation that estimate the population t years after 2016</u></em>
Calculating some terms will help you to determine the exponential growth model to estimate the population t years after 2016.
Year Number of years Population
after 2016 P(t)
2016 0 7652
2017 1 7652 + 7652 × 0.016 = 7652 × (1.016)
2018 2 7652 × (1.016)²
2019 3 7652 × (1.016)³
t ![7652\times (1.016)^t](https://tex.z-dn.net/?f=7652%5Ctimes%20%281.016%29%5Et)
Hence the equation that estimates the population t years after 2016 is:
![P(t)=7652(1.016)^t](https://tex.z-dn.net/?f=P%28t%29%3D7652%281.016%29%5Et)
<u><em>(B) Estimate the population in 2024. </em></u>
Year 2024 is 2024 - 2016 = 8 years after 2016. Hence, t = 8 years and you just must substitute t with 8 in the model (equation) to estimate the population in year 2024:
![P(8)=7652\times (1.016)^{t}=7652(1.016)^{8}=8688.09628\approx 8688](https://tex.z-dn.net/?f=P%288%29%3D7652%5Ctimes%20%281.016%29%5E%7Bt%7D%3D7652%281.016%29%5E%7B8%7D%3D8688.09628%5Capprox%208688)
Answer:
about 13.73 square feet
Step-by-step explanation:
We presume you want the area of the figure.
It can be decomposed into a triangle with base 3.6 ft and height 4.8 ft, together with a semicircle of diameter 3.6 ft.
The area of the triangle is given by ...
A = 1/2bh
For the given base and height, this is ...
A = (1/2)(3.6 ft)(4.8 ft) = 8.64 ft²
__
The radius is half the diameter, so the radius of the semicircle is 1.8 ft. The area of a whole circle of radius 1.8 ft is given by ...
A = πr² = π(1.8 ft)² = 3.24π ft²
We want the area of half the circle, so its area will be ...
semicircle area = (1/2)(3.24π ft²) = 1.62π ft² ≈ 5.089 ft²
__
Then the total area of the figure is ...
total area = triangle area + semicircle area
= 8.64 ft² + 5.09 ft²
total area = 13.73 ft²
Answer:
28
Step-by-step explanation:
you find average speed with distance/time
average speed is 35 mph
if you multiply is by 11 you get your answer which is 385 miles