Hello,
y=5+3*cos (2(x-π/3))
The function is periodic with periode=2π.
-1<=cos (2(x-π/3))<=1
==>-1*3<=3*cos (2(x-π/3))<=3*1
==>5-3<=5+3cos(2(x-π/3))<=5+3
==>2<= y<=8
Answer:
range=u ± 3.09 sd
Step-by-step explanation:
Given:
mean, u= 26.8 mpg
standard deviation, sd=72 mpg
% contained in interval = 99.8%
the interval for 99.8% of the values of a normal distribution is given by
mean ± 3.09 standard deviation= u ± 3.09 sd
=26.8 ± 3.09(72)
=26.8 ± 222.48
= 249.28 , -195.68
range=u ± 3.09 sd = 249.28 , -195.68 !
Answer:
D) left a units, down b units
Step-by-step explanation:
Changes close to x, affect the horizontal, left/right movement (but sort of the opposite direction than you would expect.... + left move and - right move)
A number tacked on to the end of the equation moves the curve up or down as you would guess (+ up and - down)
Answer:
1/2.
Step-by-step explanation:
Probability totals must add up to 1.
P = probability.
If P(any number other than 6) = x, then P(6) = 3x, so
3x + 5x = 1
x = 1/8
P(6) = 3/8 and P(not 6) = 1/8
Therefore P(6 or 1) = 3/8 + 1/8 = 1/2 (answer).
