Answer:
The slope is undefined.
Step-by-step explanation:
Your points are (4, 5) and (4, -2).
x₁ = 4, y₁ = 5
x₂ = 4, y₂ = -2
Slope = (y₂ - y₁)/(x₂ - x₁) Insert the values
Slope = [5 – (-2)]/(4 - 4)
Slope = 7/0
Slope = undefined
Your line is vertical, so the slope is undefined.
Answer: u = (41.659, 36.341)
Step-by-step explanation:
Constructing a 90% confidence interval for mean is given by the formulae below.
u = x + Zα/2 * σ/√n...... This is the upper limit
u = x - Zα/2 * σ/√n........ This is the lower limit.
u = population mean
x = sample mean = 39
σ = population standard deviation = 9
Zα/2 = Z score for a two tailed test with an a level of significance = 1.645 ( for 90% confidence level)
Upper limit
u = 39 + 1.645 * (9/√31)
u = 39 + 1.645 * (1.616)
u = 39 + 2.6590
u = 41.659
Lower limit
u = 39 - 1.645 * (9/√31)
u = 39 - 1.645 * (1.616)
u = 39 - 2.6590
u = 36.341
Answer:
![\large \boxed{\sf \frac{1}{9}}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B%5Csf%20%5Cfrac%7B1%7D%7B9%7D%7D)
Step-by-step explanation:
![\sf y=a(x-h)^2+k](https://tex.z-dn.net/?f=%5Csf%20y%3Da%28x-h%29%5E2%2Bk)
![\sf Vertex = (h,k)](https://tex.z-dn.net/?f=%5Csf%20Vertex%20%3D%20%28h%2Ck%29)
y-value is 0 and the x value is 5
h = 2
k = -1
![\sf 0=a(5-2)^2+-1](https://tex.z-dn.net/?f=%5Csf%200%3Da%285-2%29%5E2%2B-1)
Solve for
(the coefficient of the squared term).
![\sf 0=a(3)^2+-1](https://tex.z-dn.net/?f=%5Csf%200%3Da%283%29%5E2%2B-1)
![\sf 0=9a-1](https://tex.z-dn.net/?f=%5Csf%200%3D9a-1)
![\sf 9a=1](https://tex.z-dn.net/?f=%5Csf%209a%3D1)
![\displaystyle \sf a=\frac{1}{9}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csf%20a%3D%5Cfrac%7B1%7D%7B9%7D)
The coefficient of the squared term in the parabola equation is 1/9.
Answer:
Step-by-step explanation:
1.5 kilogram = 1.5* 1000= 1500
percentage = 300/1500 = 1/5 = 20%
The answer is A, you can take 210 times .35 to get how much is taken off. Then you take 210 and subtract it by the answer you previously got