Answer:
91/216
Step-by-step explanation:
The probability of getting a 4 in the first three rolls is 1 minus the probability of not getting a 4 on any of the rolls.
P(at least one 4) = 1 − P(no 4s)
P(at least one 4) = 1 − (5/6)³
P(at least one 4) = 91/216
Alternatively, you can calculate it this way.
The probability of getting a 4 on the first roll is 1/6.
The probability of getting a 4 on the second roll is (5/6) (1/6) = 5/36.
The probability of getting a 4 on the third roll is (5/6) (5/6) (1/6) = 25/216.
The probability of any of the three events is 1/6 + 5/36 + 25/216 = 91/216.
Answer:
AM=26
Step-by-step explanation:
Since M is the midpoint of the number line, this means that each side is equal to each other. The midpoint evenly splits it up in half, and since each side is equal that means we can set up an equation making x+20 and 5x-4 the same value.
x+20 = 5x-4
Now you simply carry over, so that x is all by itself. I carried the -4 to the other side first. To carry it over you have to add 4 on both sides, leaving this:
x+24=5x
Then I carried the x to the other side by subtracting -x (or if it helps, imagine an invisible one next to the x so it would be -1x) on both sides.
This gives me: 24=4x
Now that all the x's are by themelves, we can divide 24 by 4 to get our x value:
6=x
Now all we need to do is plug that in for the length of AM:
6+20, which equals our final answer 26
I hope you found this helpful :)
Answer:
No,
Step-by-step explanation:
No, GCF is not a root, it is the coefficient of x.
The fourth or the D) Option is correct.
To find the new induced matrix via a scalar quantified multiplication we have to multiply the scalar quantity with each element surrounded and provided in a composed (In this case) 3×3 or three times three matrix comprising 3 columns and 3 rows for each element which is having a valued numerical in each and every position.
Multiply the scalar quantity with each element with respect to its row and column positioning that is,
Row × Column. So;
(1 × 1) × 7, (2 × 1) × 7, (3 × 1) × 7, (1 × 2) × 7, (2 × 2) × 7, (3 × 2) × 7, (1 × 3) × 7, (2 × 3) × 7 and (3 × 3) × 7. This will provide the final answer, that is, the D) Option.
To interpret and make it more interesting in LaTeX form. Here is the solution with LaTeX induced matrix.
Hope it helps.