Answer:
JKLM is a parallelogram
Explanation:
The slope m of a line through two points (x1,y1) and (x2,y2)is given by the formula:
m=Δy/Δx=y2-y1/x2-x1
So the slopes of the sides of our quadrilateral are:
mJK=(−1)−24−(−3)=−37
mKL=(−5)−(−1)2−4=2
mLM=(−2)−(−5)−5−2=−37
mMJ=2−(−2)(−3)−(−5)=2
So JK is parallel to LM and KL is parallel to MJ
So JKLM is a parallelogram.
Okay so to do the sqrt(75) you see if there are hidden squares. Split it to be the sqrt(25) and sqrt(3) then simplify. In the end, you get 5sqrt(3). Hope this helps!
Pretty Sure it’s y=x+(-.8) haven’t done algebra in a bit. Sorry if wrong. :/
Answer:
89 rooms should be set for early book customer
Step-by-step explanation:
According to the given data we have the following:
OVERAGE(CO) = 200
SHORTAGE(CS) = 500
In order to calculate how many rooms should be set for early book customer we would have to use the following formula:
OPTIMAL BOOKING = MEAN + (Z * STDEV)
MEAN = 75
STDEV = 25
SERVICE LEVEL= CS / (CS + CO) = 500 / (500 + 200) = 0.7143
Z VALUE FOR 0.7143 = 0.57
OPTIMAL BOOKING = 75 + (0.57 * 25) = 89
89 rooms should be set for early book customer
Answer:
3040000mm³
Step-by-step explanation:
Volume of a cube = a³ ; a = size of edge
Volume of cubical tank = 12³ = 12 * 12 * 12 = 1728 cm³
Half filled cube = 1728 / 2 = 864 cm³
Volume is f rectangular tank :
V = length * width * height
V = 10 * 8 * 7 = 560 cm³
Volume of water left in cubical tank :
(864 - 560) = 304cm³
1cm³ = 1000mm³
304cm³ = 304 * 1000 = 3040000mm³
