Answer
27 - R = C
if she rented 16 of them then
27 - 16 = C And C = 11
The margin of error of the random selection is 0.29
The given parameters are:
--- the sample size
--- the standard deviation
--- the mean
--- the confidence level.
The margin of error (E) is calculated as follows:
![E = z \times \sqrt{\frac{\sigma^2}{n}}](https://tex.z-dn.net/?f=E%20%3D%20z%20%5Ctimes%20%5Csqrt%7B%5Cfrac%7B%5Csigma%5E2%7D%7Bn%7D%7D)
So, we have:
![E = z \times \sqrt{\frac{3.2^2}{320}}](https://tex.z-dn.net/?f=E%20%3D%20z%20%5Ctimes%20%5Csqrt%7B%5Cfrac%7B3.2%5E2%7D%7B320%7D%7D)
![E = z \times \sqrt{\frac{10.24}{320}}](https://tex.z-dn.net/?f=E%20%3D%20z%20%5Ctimes%20%5Csqrt%7B%5Cfrac%7B10.24%7D%7B320%7D%7D)
The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z
![E = 1.645 \times \sqrt{\frac{10.24}{320}}](https://tex.z-dn.net/?f=E%20%3D%201.645%20%5Ctimes%20%5Csqrt%7B%5Cfrac%7B10.24%7D%7B320%7D%7D)
![E = 1.645 \times \sqrt{0.032}](https://tex.z-dn.net/?f=E%20%3D%201.645%20%5Ctimes%20%5Csqrt%7B0.032%7D)
Take square roots
![E = 1.645 \times 0.1789](https://tex.z-dn.net/?f=E%20%3D%201.645%20%5Ctimes%200.1789)
Multiply
![E = 0.2943](https://tex.z-dn.net/?f=E%20%3D%200.2943)
Approximate
![E = 0.29](https://tex.z-dn.net/?f=E%20%3D%200.29)
Hence, the margin of error is 0.29
Read more about margin of error at:
brainly.com/question/14396648
Answer:
∠y = 62.5°
∠x = 27.5°
Step-by-step explanation:
z is right angle. ∠z = 90°
∠x = ∠y - 35
∠x + ∠y + ∠z = 180 {Angle sum property of triangle}
y - 35 + y + 90 = 180
y + y - 35 + 90 = 180 {Combine like terms}
2y + 55 = 180
2y = 180 -55 {Subtract 55 from both sides}
2y = 125 {Divide both sides by 2}
y = 125 /2
∠y = 62.5°
∠x = 62.5 - 35 = 27.5°
37/40 37 divide it by 25 and it comes out 37 and if you divide 25 into 1000 in comes out to be 40
Answer:
The value of h(8) = 9
Step-by-step explanation:
Given function as
h(y) = 2y - 7
For y = 8
Put the value of y in given function
So, h(8) = 2 (8) - 7
OR , h(8) = 16 - 7
∴ h(8) = 9
Hence the value of h(8) = 9 Answer