Volume is the amount of inner space of a 3d object. surface area is the area of the outer surface
A quadratic has the form ax^2+bx+c
To factor a quadratic you want to find two values, j and k, which satisfy two conditions...
j*k=a*c and j+k=b
In this case ac=-140 and b=4.
The only values possible are j=14 and k=-10
so jk=-140 and j+k=4 which are the conditions we needed to satisfy...
Now you remove the linear, or "b term", from the original equation and replace it with jx and kx... and in this case you will have:
-2h^2-14h+10h+70 now you can factor out the greatest common factor from the first pair of terms and the second pair of terms...
-2h(h+7)+10(h+7) which is equal to
(-2h+10)(h+7) and you can factor the first term again if you wish...
-2(h-5)(h+7)
Answer: The expected value of the water depth is 4.5 m.
Step-by-step explanation:
Let x be a random variable which is uniformly distributed in interval [a,b] .
Then the mean of the distribution is ghiven by :-
Given : While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.
Then, the expected value of the water depth = 
Hence, the expected value of the water depth is 4.5 m.
Answer will be 1..hope it helped
Answer:
Step-by-step explanation:
The prime cost = 4 times the value of material used
Former Prime cost = 540
Value of material = 540 / 4 = Rs. 135
Since ;
Prime cost = raw material + wages
540 = 135 + wages
Wages = 540 - 135
Wages = 405
Increase in raw material ; 3 : 4
New cost of raw materials = (4/3) * 135 = 180
Decrease in wage ; 4 : 5
New wage = 4/5 * 405 = 324
New prime cost :
180 + 324
= 504
