Answer:
0.45134
Step-by-step explanation:
Given that :
p = 0.6
n = 400
Probability that sample. Proportion falls between 0.59 and 0.62
Using Normal approximation :
Mean (m) = n * p = 400 * 0.6 = 240
Standard deviation (s) = sqrt(pq/n)
q = 1 - p = 1 - 0.6 = 0.4
s = sqrt((0.6 * 0.4) / 400) = 0.0244948
P(0.59 < p < 0.62) :
(x - m) / s
P((0.59 - 0.6) / 0.0244948) < p < P((0.62 - 0.6) / 0.0244948)
P(Z < −0.408249) < p < P(Z < 0.8164998)
Using the Z probability calculator :
0.79289 - 0.34155 = 0.45134
For this case the new area is the sum of two areas:
Area = rectangular gym + weight room
Area = (4x² + 520) ft²
In addition, we know that
rectangular gym = 4x ^ 2 ft²
Therefore, the term 520 represents a new weight room
answer
The constant term represent a new weight room
Answer:
33% or .33
Step-by-step explanation:
Divide 1/3 = .3333 (repeating). I would round to the nearest hundreths place:
1/3 = .33
For the precentage, multiple 0.33 by 100:
100 * 0.33 = 33%
Step-by-step explanation:
3cos2x +sinx=1
3(1-2sin²x)+sinx=1
3-6sin²x+sinx=1
sinx(-6sinx+1)=1
either
sinx=1
sinx=sin(90)
:.x=90
or
-6sinx+1=1
-6sinx=1-1
sinx=0/-6
sinx=sin0,sin180
:.x=0,180and90
