Answer: 17.89
Step-by-step explanation:
In binomial distribution, the standard deviation is given by :-

As per given , we have
The number of vouchers in the sample with errors is denoted by x.
p= 0.20 , n = 2000
Then , 

Hence, the standard deviation of x is 17.89.
A straight line is 180° so....
9x+24 +6x - 24 = 180
15x=180. ( because you have to combine like terms.
X= 12
Answer: Each pitcher has 4 quarts of lemonade.
Step-by-step explanation:
Louis made 24 quarts of lemonade, and he divided it equally into 6 pitchers.
Then, each pitcher must has a sixt of the total amount of lemonade, this is:
p = (1/6)*24 quarts= (24/6) quarts = 4 quarts
Each pitcher has 4 quarts of lemonade.
Answer:

Step-by-step explanation:
The question is incomplete, as the angles of rotation are not stated.
However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself
We have:


Divide 360 degrees by the number of sides in each angle, then find the multiples.
<u>Nonagon</u>

List the multiples of 40

<u>Hexagon</u>

List the multiples of 60

List out the common angles



This means that, only a rotation of
will lift both shapes onto themselves, when applied to both shapes.
The other angles will only work on one of the shapes, but not both at the same time.