We can let x be the number of boxes sold for the first week. We can as well express the number of boxes for the second and third week through x using the statements provided.
Since the girl scout sold 5 more boxes on the second week, we have (x + 5) number of boxes sold for the second week. Now, for the third week, since it's double that of the second week, we have 2(x + 5). Thus, we have the following:
first week: x
second week: x + 5
third week: 2(x + 5)
Given that the total number of boxes sold for the three weeks is 431. We have
x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2x + 10 = 431
4x + 15 = 431
4x = 431 - 15
4x = 416
x = 104
We have now the value of x. Using this, we can find the values for the second and third week.
x + 5 = `104 + 5 = 109
2(x + 5) = 2(109) = 218
Answer:
first week: 104
second week: 109
third week: 218
Answer:
Verified
Step-by-step explanation:
Let A matrix be in the form of
![\left[\begin{array}{cc}a&b\\c&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D)
Then det(A) = ad - bc
Matrix A transposed would be in the form of:
![\left[\begin{array}{cc}a&c\\b&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26c%5C%5Cb%26d%5Cend%7Barray%7D%5Cright%5D)
Where we can also calculate its determinant:
det(AT) = ad - bc = det(A)
So the determinant of the nxn matrix is the same as its transposed version for 2x2 matrices
The value of P(R = 3) is 0.2854
<h3>Probability</h3>
Probabilities are used to determine the chances of events.
The given parameters are:
--- the number of slots
. --- the number of red slot
. --- the number of black slot
. --- the number of green slot
<h3>Individual probabilities</h3>
The probability that the ball lands on a red slot is calculated as:
Simplify
The probability that the ball does not land on a red slot is calculated as:
Simplify
<h3>
Binomial probability</h3>
The value of P(R = 3) is then calculated using the following binomial probability formula
Where:
So, we have:
Hence, the value of P(R = 3) is 0.2854
Read more about probabilities at:
brainly.com/question/15246027
1.
a.11/12=less than one
b. 77/72= greater than one
c.23/60= less than one
d. 31/56= less than one
2. <
Answer:
Either 2.4 boxes or 6
Step-by-step explanation:
10% of 40 is 4
60% of 40 is 24
Either 2.4 boxes or 6
