The answer is a (one possible length and one possible width)
Answer:
37 and 38.
Step-by-step explanation:
Let the smaller integer be x.
Thus, the larger integer is (x+1) since it is consecutive.


Subtract both sides by 1:


Divide both sides by 2:


To find the other number, simply add 1 to 37 to get 38.
We don't really have to put this in slope intercept form; it would clearly end up as
y = -4x + something
so we know the slope is -4.
Answer: C) -4
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