Answer:
Exactly 16%.
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.
The mean of a certain set of measurements is 27 with a standard deviation of 14.
This means that
The proportion of measurements that is less than 13 is
This is the p-value of Z when X = 13, so:
has a p-value of 0.16, and thus, the probability is: Exactly 16%.
Answer:
Step-by-step explanation:
Given
Solving (a): An equivalent inequality
We have:
Multiply both sides by -1 (this changes the inequality)
Solving (b): Values of u from least to greatest
implies that u ends at -4, starting from negative infinity
So, the list is:
Answer: 28
Step-by-step explanation:
The mean of 15 numbers = 12
Then , the sum of the numbers = 12x15 = 180
Let the extra number included be , then
The new sum =
And the new total number will increase from 15 to 16
new mean = 13 , so we have :
therefore , the extra number is 28
Answer:
Those graphs do not intersect.
Estes gráficos no se intersecciónan
Step-by-step explanation:
The intersection points are x for which:
In this question:
So
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that , given by the following formulas:
In this question:
So
Sincce is negative, there are no solutions, which means that those graphs do not intersect.
Answer:
c. both
Step-by-step explanation: