Answer:
87
Step-by-step explanation:
Answer: x = (cd + by) / a
Working out:
(ax - by) / c = d
1)Multiply by c on both sides to get:
ax - by = cd
2) Add by on both sides to get:
ax = cd + by
3) divide by a on both sides to get:
x = (cd + by) / a
To evaluate the given probability we proceed as follows:
The z-score is given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
from the question:
mean=272, sig=15
but the sample is n=36, thus we shall have:
√σ/n
=15/√36
=2.5
thus the z-score will be as follows:
x=272
z=(272-272)/2.5=0
x=274
z=(274-272)/2.5==0.8
thus
P(272<x<274)
=P(z<0.8)-P(z<0)
=0.7881-0.5
=0.2881
Hence the answer is 0.2881