Answer:
atleast 385
Step-by-step explanation:
Given that an electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricity, they would like know the mean daily power usage for homes there.
Population std deviation = ![\sigma = 50](https://tex.z-dn.net/?f=%5Csigma%20%3D%2050)
Sample size =![n](https://tex.z-dn.net/?f=n)
STd error of sample mean = ![\frac{50}{\sqrt{n} }](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B%5Csqrt%7Bn%7D%20%7D)
Margin of error for 95% would be Critical value ( std error)
Here since population std dev is known we can use Z critical value= 1.96
![1.96*\frac{50}{\sqrt{n} }19.6^2\\n>384.16](https://tex.z-dn.net/?f=1.96%2A%5Cfrac%7B50%7D%7B%5Csqrt%7Bn%7D%20%7D%3C5%5C%5Cn%3E19.6%5E2%5C%5Cn%3E384.16)
Sample size should be atleast 385
The total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²
Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of
- height, h = apothem of the hexagon = 2 cm and
- base, b = length of shorter base of trapezoid.
<h3>Area of the triangle</h3>
So, the area of this triangle is A = 1/2bh
= 1/2 × 1. 5 cm × 2 cm
= 1.5 cm × 1 cm
= 1.5 cm²
<h3>Area of the hexagon</h3>
Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A
= 6 × 1.5 cm²
= 9.0 cm²
So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²
Learn more about area of a hexagon here:
brainly.com/question/369332
Answer:
x=-2
Step-by-step explanation:
hi! let's plug in 4 for y in the equation.
3x+2(4)=2
3x+8=2
3x=-6
x=-2
It is A, 60° because 180° (degree of the whole triangle) divided by the three angles is 60.
Answer:
dream studio
1=$12
fox studio
1=$9
therefore, fox studio is better