Answer:
C
Step-by-step explanation:
Any point (x, y) on the parabola is equidistant from the focus and the directrix.
Using the distance formula
= | y - 3 | ← square both sides
(x - 3)² + (y - 1)² = (y - 3)² ← expand the y- factors
(x - 3)² + y² - 2y + 1 = y² - 6y + 9 ← subtract y² - 2y + 1 from both sides
(x - 3)² = - 4y + 8 ( subtract 8 from both sides )
(x - 3)² - 8 = - 4y ( divide both sides by - 4 )
-
(x - 3)² + 2 = y, that is
y = -
(x - 3)² + 2 → C
Answer:
142.85 (rounded off to two decimal places)
Step-by-step explanation:
given
(49/100)x = 56
x = (56/49)100
x = (8/7)(100)
we get
x= 142.85....
5-2x=12
-2x=12-5
-2x=7 (multiplying by -1)
2x=-7
x= -7/2 = -3,5
Answer:
P(x < 92) is 0.16
Step-by-step explanation:
We are given that the normal distribution has a mean of 98 and a standard deviation of 6.
Mean =![\mu = 98](https://tex.z-dn.net/?f=%5Cmu%20%3D%2098)
Standard deviation = ![\sigma = 6](https://tex.z-dn.net/?f=%5Csigma%20%3D%206)
We are supposed to find P(x < 92)
Formula : ![Z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![Z=\frac{92-98}{6}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B92-98%7D%7B6%7D)
Z=-1
Refer the z table for p value
So,p value = 0.1587
So, P(x < 92) is 0.16
Option A is true
Hence P(x < 92) is 0.16
Answer:
D
Step-by-step explanation:
10/5=2
20/10=2
40/20=2