Z+1=z+6 please I need help
2 answers:
You might be interested in
Answer:
Percentage of public school teachers who earn less than $32,547 = 2.3%
Step-by-step explanation:
We are given that the mean salary of public school teachers in the United States in 2012 was $50,547 with a standard deviation of $9,000. Also, salaries are normally distributed.
Let X = Salary of public school teachers
So, X ~ N()
The standard normal z score distribution is given by;
Z = ~ N(0,1)
So, percentage of public school teachers who earn less than $32,547 is given by = P(X < $32,547)
P(X < 32,547) = P( <
) = P(Z < -2) = 1 - P(Z <= 2)
= 1 - 0.97725 = 0.02275 or 2.3%
Therefore, percentage of public school teachers who earn less than $32,547 is 2.3% .
Answer:
(a)59
(b)
Step-by-step explanation:
<u>Part A</u>
The nth term of an arithmetic sequence,
Let the first angle of the triangle =a
Let the common difference = d.
Since the measures of the angles are in an arithmetic progression
We have:
a + (a + d) + (a + 2d) = 180
3a+3d=180
a+d=60
Since a or d cannot be equal to zero, the minimum possible values of a and d is 1 and the maximum possible values of a and d is 59.
Therefore, there are 59 non-similar triangles.
<u>Part B</u>
In an arithmetic sequence
Common difference,
Therefore: