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
Step-by-step explanation:
The coefficients of the y terms are -3 and 2. The least common multiple of 3 and 2 is 6. So multiply the first equation by 2 and the second equation by 3, so that the y terms have a coefficient of 6.
4x − 6y = 42
-18x + 6y = 21
The signs are opposite, so add the equations together.
-14x = 63
x = -9/2
Answer:
5/18
Step-by-step explanation:
note: 5/9 is the same as 10/18 (we get this by multiplying both numerator and denominator by 2)
hence
5/9-5/18
= 10/18 - 5/18
= (10-5) / 18
= 5/18
Answer:
N = 250
Step-by-step explanation:
-17 + 
= 33
+17 +17
= 50
50 x 5 = 250
n = 250
Diego is correct.0.51 has two decimals places, 2.427 has three places. so in all it's five decimal places the answers is 1.23777
