Answer:
np = 81 , nQ = 99
Step-by-step explanation:
Given:
X - B ( n = 180 , P = 0.45 )
Find:
Sampling distribution has an approximate normal distribution
Computation:
nP & nQ ≥ 5
np = n × p
np = 180 × 0.45
np = 81
nQ = n × (1-p)
nQ = 180 × ( 1 - 0.45 )
nQ = 99
Answer:
Step-by-step explanation:
You can factor out the common term of 27 from 81*
Separate
Simplify **
Finito. Nothing further can be done
*factor out 27
** because
Answer:
D
Step-by-step explanation:
Answer:
y - 1 = -2(x - 4).
Step-by-step explanation:
First, we need to find the slope. Two sets of coordinates are (-3, 3), and (-2, 1).
(3 - 1) / (-3 - -2) = 2 / (-3 + 2) = 2 / (-1) = -2.
The line will be parallel to the given line, so the slope is the same.
Now that we have a point and the slope, we can construct an equation in point-slope form.
y1 = 1, x1 = 4, and m = -2.
y - 1 = -2(x - 4).
Hope this helps!
Answer:
Step-by-step explanation:
cosθ = ⅘
sin²θ = 1-cos²θ = 9/25
since θ is in quadrant I, sinθ = √(9/25) = ⅗
sin(2θ) = 2sinθcosθ = 2(⅗)(⅘) = 24/25