Answer:
The answer is "0.142466".
Step-by-step explanation:
Using the p formula for the proportion of nonconforming units through the subgrouping which can vary in sizes:


Defects 

It calculates the controls limits through the p-chart that is:

So, the upper control limits:

Answer:
D. 4/25
Step-by-step explanation:
If you add up all the number of times they picked up a balloon (50 times because 22 + 7 + 8 + 13 = 50) and how many times the orange balloon was chosen (8) then you will get 8/50 and 8/50 simplified is 4/25.
<h3><u>Answer:</u></h3>
- First term = 6
- Common difference= 4
<h3><u>Solution</u><u>:</u></h3>
Let's take the first term as <u>a</u> and the common difference be <u>d</u>
The formula to find the nth term of an arithmetic progression is given by :
<u>According to question, we have :</u>
- 16th term of an AP is three times the 5th term.
➝ a16 = 3 ( a5 )
➝ a + ( 16 - 1 )d = 3 ( a + ( 5 - 1 )d )
➝ a + 15d = 3 ( a + 4d )
➝ a + 15d = 3a + 12d
➝ 15d - 12d = 3a - a
➝ 3d = 2a
➝ 2a = 3d
➝ <u>a = 3d/2</u><u></u>ㅤㅤㅤ⸻ ( 1 )
- And, the 12th term is 20 more the 7th term.
➝ a12 - ( a7 ) = 20
➝ a + ( n - 1 )d -( a + ( n - 1 )d ) = 20
➝ a + ( 12 - 1 )d - + a + ( 7 - 1 )d ) = 20
➝ a + 11d - ( a + 6d ) = 20
➝ a - a + 11d - 6d = 20
➝ 5d = 20
➝ d = 20/ 5
➝<u> d = 4</u>
- <u>Using</u><u> equation</u><u> (</u><u> </u><u>1</u><u> </u><u>)</u>
➝ a = 3d / 2
➝ a = ( 3 × 4 ) / 2
➝ a = 12 / 2
➝<u> a = 6</u>
Answer:
Then the midpoint is (2, -2)
Step-by-step explanation:
We treat the x- and y-coordinates separately, first finding the average (mean) of the x-coordinates and then the average of the y-coordinates:
xm = (-1 + 5)/2 = 2
ym = (1 - 5)/2 = -2
Then the midpoint is (2, -2)
First taking into account the if he buys in order.
Brian has 10 choices for the first selection of fish, 9 for the second selection and 8 for the third selection.
Thus you have 10*9*8 = 720 possible ways
However the question did not specify if it is in order. Now counting how many possible orders for each selection you can have
fish 1 , fish 2 , fish 3 or
fish 1 , fish 3 , fish 2 or
fish 2 , fish 1 , fish 3 or
fish 2 , fish 3 , fish 1 or
fish 3 , fish 1 , fish 2 or
fish 3 , fish 2 , fish 1 or
We have 6 order.
dividing the possible ways by the order we have 720 / 60 = 120
The answer is B. 120