Step-by-step explanation:
the formula of coordinates (x, y) that reflected across the x-axis : (x, y) => (x, -y)
so,
A(3, -2) => A'(3, 2)
B(5, 5) => B'(5, -5)
C(-4, 2) => C'(-4, -2)
The probability that the bulb is good is 12/15.
Since we have taken 1 item out the remaining total is now 14, so the probability of getting a defective bulb is now 3/14.
Now you multiply the probabilities together to get (12/15)(3/14)=(4/5)(3/14)=12/70=6/35
We are 99% confident that the interval from 0.102 to 0.236 actually does contain the true value of the population proportion <span>p.</span>
Answer:
x ≈ 1.32, x ≈ - 5.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± 
( subtract 2 from both sides )
x = - 2 ± 
Thus
x = - 2 - ≈ - 5.32 ( to 2 dec. places )
x = - 2 + ≈ 1.32 ( to 2 dec. places )
Answer:
£540
Step-by-step explanation:
I worked it out let me know if you want me to upload a picture of my workings
