Answer:
6 cm
Step-by-step explanation:
If the original side length is x, then the modified square has an area of ...
A = LW
32 = (x +2)(x -2) = x^2 -4
36 = x^2 . . . . . . . . add 4
6 = x . . . . . . . . . . take the square root
The original figure has a side length of 6 cm.
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<em>Check</em>
The modified figure is 8 cm by 4 cm = 32 cm^2.
Answer:
The area of the box is equal to 9^3 = 729 in^3
729<1000
Step-by-step explanation:
No since the volume of the box is less than the total volume of the cubes
Answer:
5, 10, 15, 20, 25, 30
6, 12, 18, 24, 30
Answer: 30
3, 6, 9, 12, 15, 18, 21, 24
24
Answer: 24
14, 28
4, 8, 12, 16, 20, 24, 28, 32
Answer: 28
Hoped it helped :)
Answer:
C.
Step-by-step explanation:
I predict these tingz
Answer:

Step-by-step explanation:
We know that:
In a deck of 52 cards there are 4 aces.
Therefore the probability of obtaining an ace is:
P (x) = 4/52
The probability of not getting an ace is:
P ('x) = 1-4 / 52
P ('x) = 48/52
In this problem the number of aces obtained when extracting cards from the deck is a discrete random variable.
For a discrete random variable V, the expected value is defined as:

Where V is the value that the random variable can take and P (V) is the probability that it takes that value.
We have the following equation for the expected value:

In this problem the variable V can take the value V = 9 if an ace of the deck is obtained, with probability of 4/52, and can take the value V = -1 if an ace of the deck is not obtained, with a probability of 48 / 52
Therefore, expected value for V, the number of points obtained in the game is:

So:
