Answer:
B.) 
Step-by-step explanation:

Then find the Least Common Denominator(LCD); simply just multiply 4 by 3 to get 12; then multiply using the opposite number.

to get:
.
now the denominators is the same on both sides, just subtract the numerator.
27 - 8 = 19
Now simply:
.
Your final answer is 1\frac{7}{12}[/tex].
The translation was up 5 and to the left 8
Answer and Explanation:
Given : Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder.
To find :
a. Does the table show a probability distribution?
b. Find the mean and standard deviation of the random variable x.
Solution :
a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.


Yes it is a probability distribution.
b) First we create the table as per requirements,
x P(x) xP(x) x² x²P(x)
0 0.029 0 0 0
1 0.147 0.147 1 0.147
2 0.324 0.648 4 1.296
3 0.324 0.972 9 2.916
4 0.147 0.588 16 2.352
5 0.029 0.145 25 0.725
∑P(x)=1 ∑xP(x)=2.5 ∑x²P(x)=7.436
The mean of the random variable is

The standard deviation of the random sample is







Therefore, The mean is 2.5 and the standard deviation is 1.08.
Let
x = base pay per month
y = commission per $1 of sales
Then the monthly pay for selling $100 of merchandise is
P = x + 100y
In one month, Alyssa earned $388 for selling $400 worth of merchandise.
Therefore
x + 400y = 388 (1)
In another month, she earned $520 for selling $1000 worth of merchandise.
Therefore
x + 1000y = 520 (2)
Subtract (1) from (2).
x + 1000y - (x + 400y) = 520 - 388
600y = 132
y = 0.22
From (1), obtain
x = 388 - 400y = 388 - 400*0.22 = 300
When Alyssa sells $3300 worth of merchandise, she earns
300 +0.22*3300 = $1026
Answer: $1026
-3z^7 - (-5z^7) = -3z^7 + 5z^7 = 2z^7