Answer:
Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Middle 68%
Between the 50 - (68/2) = 16th percentile and the 50 + (68/2) = 84th percentile.
16th percentile:
X when Z has a pvalue of 0.16. So X when Z = -0.995
84th percentile:
X when Z has a pvalue of 0.84. So X when Z = 0.995.
Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve
Answer:
Interquartile Range
Step-by-step explanation:
i think
Answer:
<em>The other dimension is x=4 cm</em>
Step-by-step explanation:
<u>Surface Area of a Rectangular Prism</u>
Given a rectangular prism of dimension x, y, and z. Its surface area is calculated with the formula:
A = 2(xy + yz + xz)
We are given the dimensions y=5 cm and z=6 cm. We also have A=148 cm2. Substituting:
148 = 2(x*5 + 5*6 + x*6)
Dividing by 2:
74 = x*5 + 5*6 + x*6
Operating:
74 = 5x + 30 + 6x
Simplifying:
74 = 11x + 30
Subtracting 30:
44 = 11x
Dividing by 11:
x = 4 cm
The other dimension is x=4 cm