Answer: ![\pm0.1706](https://tex.z-dn.net/?f=%5Cpm0.1706)
Step-by-step explanation:
Given : Sample size : n= 33
Critical value for significance level of
: ![z_{\alpha/2}= 1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D%201.96)
Sample mean : ![\overline{x}=2.5](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D2.5)
Standard deviation : ![\sigma= 0.5](https://tex.z-dn.net/?f=%5Csigma%3D%200.5)
We assume that this is a normal distribution.
Margin of error : ![E=\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=E%3D%5Cpm%20z_%7B%5Calpha%2F2%7D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
i.e. ![E=\pm (1.96)\dfrac{0.5}{\sqrt{33}}=\pm0.170596102837\approx\pm0.1706](https://tex.z-dn.net/?f=E%3D%5Cpm%20%281.96%29%5Cdfrac%7B0.5%7D%7B%5Csqrt%7B33%7D%7D%3D%5Cpm0.170596102837%5Capprox%5Cpm0.1706)
Hence, the margin of error is ![\pm0.1706](https://tex.z-dn.net/?f=%5Cpm0.1706)
Answer:
this is 52 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the cost of the Uber ride be represented by y in dollars.
Let the number of miles that the Uber rides be represented by x.
The equation relating x and y is expressed as
y = 2/3x + 4.
This is a slope intercept form equation. The slope is 2/3 and it represents the cost per mile.
The cost of a 21 mile ride will be
Substituting x = 21 into the given equation, it becomes
y = 2/3 × 21 + 4 = 14 + 4 = 18
The 21 mile ride costs $18
Part B) The $46 ride will cost
Substituting y = 46 into the given equation, it becomes
46 = 2x/3 + 4 =
46 - 4 = 2x/3
42 = 2x/3
2x = 42 × 3 = 126
x = 126/2 = 63
The $46 ride will be 63 miles
Answer:
-2.5
Step-by-step explanation:
25/-10 = -2.5
20/-8 = 2.5
10/-4 = 2.5
-5/2 = 2.5
so the answer is -2.5
Can I pls have brainliest
Y = sin(x^2)
Use the chain rule.
We want dy/dx.
dy/dx = cos(x^2)*2x
dy/dx = 2xcos(x^2)
Did you follow?