First, we have to find the z scores of $4 and $9.50.
Z₁ = ($4 - $6.50)/$2.25 = -1.11
Z₂ = ($9.50 - $6.50)/$2.25 = 1.33
Then, using a z score table, we find the probability of 1.33 and -1.11, and subtract them to determine the probability in between.
0.9082 - 0.1335 = 0.7747 or 77.47%.
X=the weight of this man
We can suggest this equation:
5x/6+30=x
least common multiple=6
5x+180=6x
5x-6x=-180
-x=-180
x=180
Answer; his weight is 180 pounds.
Basically you need to make the denominator (whats on the bottom) the same, lets take the first one for example
2 3/4, lets put this all over 4 for the same denominator.
2=8/4, and then add this to 3/4 to get 11/4.
the second part will work the same way,
start by making 1 into 8/8. add this to 1/8 to get 9/8
now we have to add 11/4 and 9/8. to do this, you have to find the smallest multiple between the two (for example: between 6 and 4 it would be 12, since 4*3= 12, and 2*6=12)
now, the smallest common multiple between 4 and 8 would just be 8
11/4= 22/8, since you multiply the bottom and top by the same amount so it still equals 11/4, but your denominator will now be 8.
now you can subtract. 22/8- 9/8= 13/8
final answer: 13/8
try the rest yourself since this is important for later math, hoped this helped :)
g(a)=33a−2; Find g(1)
g(1) means the value of a is 1. Replace a in the equation with 1 and solve.
33(1) - 2 = 33-2 = 31
g(1) = 31
