Answer:
WT = 34
Step-by-step explanation:
The ultimate goal here to pinpoint what x is equivalent to. In a rectangle we know that the diagonals are congruent as well as the fact that they bisect each other. This means cutting in half. Using this knowledge we know VW = 9x - 11 is half of SU = 16x - 12.
Step One: Multiply 9x - 11 by 2.
2(9x - 11) = 18x - 22
Step Two: Set up your equation
18x - 22 = 16x - 12
Step Three: Solve for x
18x - 22 = 16x - 12
2x - 22 = -12
2x = 10
x = 5
Step Four: Substitute to check your work
16(5) - 12 = 68
9(5) - 11 = 34
Again, since the diagonals of a rectangle bisect each other VW = WT.
34 is half of 68 proving our findings.
Answer:
y = 25
Step-by-step explanation:
To find slope, we use this expression: 
Since we already know the slope and are trying to figure out a y-value, we can input all of the values we do know in the expression and solve for the missing y.
=4
Simplify the denominator: 
=4
Multiply both sides by 6 to isolate the y - 1: y - 1 = 24
Add 1 to both sides to isolate the y: y = 25
y = 25
Answer:
252 ; 0.0059 ; 0.0074 ; 0.9926
Step-by-step explanation:
Day shift = 10
Swing shift = 8
Graveyard shift = 6
Total number of workers = 24
A.) Number of selections resulting in 5 workers coming from day shift :
10C5 = 10! ÷ (10-5)!5!
= (10*9*8*7*6) / (5*4*3*2*1)
= 252
B.) All 5 workers coming from day shift :
Required outcome = 10C5
Total possible outcomes = 24C5
10C5 ÷ 24C5
252 ÷ 42504
= 0.0059288
= 0.0059
C.) 5 selected workers are from the same shift :
[day shift + swing shift + graveyard shift] / total possible outcomes
[(10C5) + (8C5) + (6C5)] ÷ 24C5
(252 + 56 + 6) / 42504
= 0.0074
D.) What is the probability that at least two different shifts will be represented among the selected workers?
1 - [[(10C5) + (8C5) + (6C5)] ÷ 24C5]
1 - 0.0073875
= 0.9926124
= 0.9926
Answer:
15625
Step-by-step explanation:
Lets use the information to present the question into mathematical form:
so this means -5 is multiplying itself 6 times so this means
value of negative 5 superscript 6 means
= -5 x -5 x -5 x -5 x -5 x -5
so the answer is 15625
Answer:
<h2>18</h2>
Step-by-step explanation:
The formula of a distance between two points:
We have the points (5, -7) and (5, 11). Substitute:
