Answer:

Step-by-step explanation:
we are given that

since m is greater than or equal to 0 it's a positive number therefore, the square root of m is defined and recall that √x²=|x| thus

remember that,|a|•|x|=|ax| hence,

and we're done!
Answer: 45
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Work Shown:
n = number of rolls = 150
p = probability of rolling a "1" = 0.3
n*p = expected number of "1"s that show up out of the 150 rolls
n*p = 150*0.3
n*p = 45
We expect about 45 ones will show up.
Answer:
Scale factor = 3
Step-by-step explanation:
Using similar triangles
AT/AG = AB/AC
9/3 = x+10/3x-10
Cross multiply
3(x+10) = 9(3x-10)
Expand
3x+30 = 27x-90
3x-27x = -90 - 30
-24x = -120
x = 120/24
x = 5
For the larger triangle;
AC = 3x-10
AC = 3(5)-10
AC =15-10
AC = 5
AB = x+10
AB = 5+10
AB = 15
For the scale factor;
Since AT/AG = AB/AC
9/15 = 3/5
3*3/5*3 =3/5
Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3
If the number k is greater than 3, we have the following inequality:

In order to evaluate k/3, let's divide the inequality by 3:

So the expression k/3 is greater than 1, therefore the correct option is D.