Answer:
D. 54,900
Step-by-step explanation:
We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.
To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.
First of all, we will find z-score corresponding to probability 
using normal distribution table.
From normal distribution table, we get z-score corresponding is 
.
Now, we will use z-score formula to find sample score as:
, where,
= Z-score,
= Sample score,
= Mean,
= Standard deviation
Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.
Angle 3 and angle 4 are supplementary angles and when added together need to equal 180 degrees.
To find angle 4 subtract angle 3 from 180.
Angle 4 = 180 - 101 = 79 degrees.
Answer: The answer is 25
Step-by-step explanation:
First, You would add the two numbers together, which you get 155
Then, the degrees of a triangle is equal to 180. So you would subtract 155 from 189, and you should get 55.
Hope this helps :3
M=30/22,5=1,33
m=25/x=1,33. ...>x=25/1,33=18,7
[x-1]=5x+10
We have two equations:
1) x-1=5x+10
x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4
2) x-1=-(5x+10)
x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2
we have two possible solutions:
solution₁; x=-11/4
solution₂: x=-3/2
we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4 - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4 + 10
[-15/4]=(-55+40) /4
15/4≠-15/4 This solution don´t work.
2) x=-3/2
[x-1]=5x+10
[-3/2 - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2 + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.
Therefore:
Answer: x=-3/2.
