Answer:
Option D) 340
Step-by-step explanation:
We are given the following in the question:
Alpha, α = 0.05
Population standard deviation, σ = $47
Margin of error = 5
95% Confidence Interval:
![\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Cmu%20%5Cpm%20z_%7Bcritical%7D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![\text{Margin of error} = z_{critical}\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Ctext%7BMargin%20of%20error%7D%20%3D%20z_%7Bcritical%7D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Putting the values, we get,
![z_{critical}\text{ at}~\alpha_{0.05} = 1.96](https://tex.z-dn.net/?f=z_%7Bcritical%7D%5Ctext%7B%20at%7D~%5Calpha_%7B0.05%7D%20%3D%201.96)
![5 = 1.96(\dfrac{47}{\sqrt{n}} )\\\\\sqrt{n} = \dfrac{47\times 1.96}{5}\\\\n = 339.443776\\\Rightarrow n \approx 340](https://tex.z-dn.net/?f=5%20%3D%201.96%28%5Cdfrac%7B47%7D%7B%5Csqrt%7Bn%7D%7D%20%29%5C%5C%5C%5C%5Csqrt%7Bn%7D%20%3D%20%5Cdfrac%7B47%5Ctimes%201.96%7D%7B5%7D%5C%5C%5C%5Cn%20%3D%20339.443776%5C%5C%5CRightarrow%20n%20%5Capprox%20340)
Thus, the correct answer is
Option D) 340
Answer: first one =109360044xy−36453348x−2, 2nd,=3037778998,last one,=1968480790
Step-by-step explanation:Evaluate for x=3x,y=6y−2
33x(2025186)(6y−2)−2
33x(2025186)(6y−2)−2
=109360044xy−36453348x−2
Evaluate for x=20,y=25
(3)(20)(2025186)(25)−2
(3)(20)(2025186)(25)−2
=3037778998
because 18 is by itself i just did Evaluate for x=18,y=18
(3)(18)(2025186)(18)−2
(3)(18)(2025186)(18)−2
=1968480790
Answer:
general rule Un=1.8n-21
U100=1.8(100)-21=159
Step-by-step explanation:
a5=a+4d, a5=-12
a10=a+9d, a10=-3
-12=a+4d
-3=a+9d subtract the system of equations
-9=-5d solve for d
d=1.8
substitute d into first equation to find a
-12=a+4(1.8)
a=-19.2
un. = a + (n − 1)d
Un=-19.2+(n-1)(1.8)
Un=1.8n-21
Since it is a rectangular prism, the front and back are the same. the sides are the same and the top and bottom are the same. You would find the area of the front and back first. Since they both have the same measurements, you can find the area of one of the faces and multiply by 2.
A=BH
A= 3x5
A=15
15x2=30
So the front and back's area is 30. Now you find the area of both sides. They are both rectangle so the formula is A=BH.
A=BH
A=3x5
A=15
15x2=30
Now you find the area of the top and bottom. It is also a rectangle so you will use the same formula.
A=BH
A=3x3
A=9
9x2=18
Finally, you add all these measurements together adn that is the surface area.
This surface area of this rectangle prism is 78.
Your Answer should be True