Answer:
(1, 2) and (- 1, - 2)
Step-by-step explanation:
Given the 2 equations
x² + y² = 5 → (1)
y = 2x → (2)
Substitute y = 2x into (1)
x² + (2x)² = 5, that is
x² + 4x² = 5
5x² = 5 ( divide both sides by 5 )
x² = 1 ( take the square root of both sides )
x = ± = ± 1
Substitute these values into (2) for corresponding values of y
x = 1 → y = 2(1) = 2 ⇒ (1, 2)
x = - 1 → y = 2(- 1) = - 2 ⇒ (- 1, - 2)
The probability that a data value is between 54 and 66 is 81.9%
z score is used to determine by how many standard deviations the raw score is above or below the mean.
The z score is given by:
Given that μ = 62, σ = 4
For x = 54:
For x = 66:
P(54 < x < 66) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 81.9%
The probability that a data value is between 54 and 66 is 81.9%
Find out more on z score at: brainly.com/question/25638875
Answer:
- 103.7
Step-by-step explanation:
Given:
Focal length of the eyepiece, f = 2.0 cm
Focal length of the objective lens, f' = 0.50 cm
Separation for minimum eyestrain = 6,0 cm
Image distance, v = - 25 cm
Now, from the lens formula,
here, u is the object distance
on substituting the respective values, we get
or
u = 1.852 cm
also, the separation is adjusted for minimum eyestrain,
therefore, image distance for the objective lens, v' = 6 - 1.852 = 4.148 cm
Now, for the objective lens
using the lens formula, we get
Here, u' is the distance between the physical object and objective lens
or
u' = 0.568 cm
Thus,
Magnification, m =
or
m =
or
m = - 103.7