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.
Answer:
Hello! answer: x = 15
Step-by-step explanation:
Here is a visual i created of what the complementary angle would look like!
Answer: 13 . 99 seconds
Step-by-step explanation:
The formula to find how long it will take an object to rotate through 6.9 revolutions at an angular velocity is given as :
t = 2π x number of revolutions / angular velocity
Therefore :
t = 2π x 6.9 / 3.1
t = 2 x 3.142 x 6.9 / 3.1
t = 43.3596/3.1
t = 13. 98696774194
to the nearest tenth
t = 13. 99s
Standard form is ax+by=c
first we use
y-y1=m(x-x1)
a point is (x1,y1)
the slope is m
the slope between the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(1,1) and (3,4)
slope=(4-1)/(3-1)=3/2
a oint is (1,1) and slope is 3/2
y-1=3/2(x-1)
y-1=3/2x-3/2
solve for ax+by=c form, a is normally positive and a and b and c are whole numbers
times 2 both sides
2y-2=3x-3
minus 2y
-2=3x-2y-3
add 3
1=3x-2y
3x-2y=2
Simply present that you would split them up as a factor of two. ( make two lines going either vertically or horizontally. place in varriations, a marble in one line and a marble in the other and then count the leftover
