Answer:
0.5613
Step-by-step explanation:
Here mean strain of bacteria x = sum of all numbers/ total numbers = 0.5514 %
Standard deviation s = 0.0040 %
Test statistic
G = (x_{max} -x)/s = (0.5613 - 0.5514)/ 0.0040 = 2.475
95% confidence value for outlier for n = 8 and alpha = 0.05
G_{critical} = 2.1266
so here we see that G > G_critical , so we reject that the there is no outlier . the value of 0.5613 is and outlier.
Answer:
length = 2w - 3
l = length
w = width
2(length) + 2(width) = perimeter
2(2w - 3) + 2(w) = 60
6w -6 =60
w = 11
len = 2(11) - 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
24x = 3 * 8 * x
3 = 3 * 1
Greatest common factor = 3
24x +3 = 3*8x + 3*1
=3(8x + 1)
It should be B because is a minus is in front of something that is a negative they change to be positive
Answer:
Option 3 and 4.
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

Given that mean (μ) = 82, standard deviation (σ) = 5
1) For x = 74:

Option 1 is incorrect
2) For x < 87

From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%
Option 2 is incorrect
3) For x = 95:

Option 3 is correct
4) For x < 77

From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%
Option 4 is correct
5) For x > 92

From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%
Option 5 is incorrect