40! / 30! = 40*39*38*37*36*35*34*33*32*31
dividing this by 10! 10*9*8*7*6*5*4*3*2*1
= 4*13*19*37*17*11*4*31
= 847,660,528
z 5 − z+2 2z+4 =−3 space, startfraction, 5, divided by, z, end fraction, minus, start fraction, 2, z, plus, 4, divided by, z
yan [13]
Answer:
The sum of all the possible values for z that satisfy the above equation is -5.
Step-by-step explanation:
The given equation is

We need to find the sum of all the possible values for z that satisfy the above equation.
The given equation can be rewritten as

Cancel out common factors.

Add 2 on both sides.



Multiply both sides by -1.

Only z=-5 satisfy the given equation.
Therefore the sum of all the possible values for z that satisfy the above equation is -5.
Answer:
3) 0.326
Step-by-step explanation:
Total Number of surveyed households =125
We want to determine the probability that a randomly selected household would have a laptop given that it does not have a tablet.
Written in Probability notation: P(Laptop|No Tablet)

The correct option is C,
Answer:
336 ft²
Step-by-step explanation:
The rectangle is 13 ft long and 8 width that means we have two walls 8* 9 and two walls 13*9
Total walls area is
2*8*9 + 2*13*9 = 144 + 234 = 378 ft²
then we subtrac , areas of door, closet and windows
3 * 6.5 = 19,5 ft²
3 * 6,5 = 19,5 ft²
2 * 1,5 = 3 ft²
42 ft²
Then area to paint 378 - 42 = 336 ft²
Step-by-step explanation:
Consider the provided multiplication.
We need to use associative property of multiplication.
Associative property of multiplication:

Now use the above property and solve the provided multiplication:



The multiplication is verified by associative property.