Answer:
P(X = 12) = 0.0064.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
We want P(X = 12). So
P(X = 12) = 0.0064.
Answer:
288J
Step-by-step explanation:
recall the formula for kinetic energy
KE = (1/2) mv²
where m is the mass (= 4kg) and v is the velocity(=12 m/s)
hence
KE = (1/2) (4)(12)² = 288J
<span>
</span>
<span>x+<span>(x+2)</span>+<span>(x+4)</span>=48</span>
3x+6=48
Minus 6 to both sides
<span>3x=42</span>
Divide 3 to both sides
<span>x=14</span>
Get the next two integers
<span>x,x+2,x+4 or 14,16,<span>18 = 48 is you Answer</span></span>
The final answer will be a 3x3 matrix. So you'll have 3 rows and 3 columns.
Along row one, the values are: 10, 15, 20
Along row two, the values are: 45, -5, -35
Along row three, the values are: 55, 25, -15
all of which make up the final answer. Each value in bold is the result of multiplying the outer 5 by each value inside the original matrix given. In a sense, it's like using the distributive property, though we wont be adding any of the values (everything stays separated).
