Answer:
Standard deviation of the length of granola bars produced at Bernie's Bars is 0.50
Step-by-step explanation:
We are given the following information in the question:
Formula:

where,
μ is the mean and σ is the standard deviation.
Putting the values we get:

Solving the two obtained equations:
Subtracting the two obtained equation, we have:

Hence, standard deviation of the length of granola bars produced at Bernie's Bars is 0.50
Answer:
Step-by-step explanation:
We have to diagonalize the matrix
![\left[\begin{array}{ccc}1&-1&0\\5&1&4\\0&1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%260%5C%5C5%261%264%5C%5C0%261%261%5Cend%7Barray%7D%5Cright%5D)
we have to solve the expression

Thus, by applying the determinant we obtain the polynomial



and the eigenvector will be

HOPE THIS HELPS!!
Answer:
a) 300 + 80h = x
b) $780
Step-by-step explanation:
So, the original cost is $300, plus an additional $80 times the number of hours rented.
h will represent the number of hours rented
x will represent our total cost (use whatever variable your teacher expects :))
300 + 80h = x
This is our equation. Now, we want to find the cost for 6 hours. Substitute 6 in for h.
300 + 80(6) = x Solve for x.
300 + 480 = x
780 = x This means the total cost for 6 hours will be $780.
Hope this helps :)
NOTE: I noticed in part a, it referred to a "dunking booth". I solved this problem as if that was a typo and they were referring to the jumper.
Answer:
L' = 26cm
W' = 39cm
Step-by-step explanation:
a) Given the dimension of the shape;
length L = 10cm
Width W = 15cm
After dilating by a scale factor os 2.6
New length L' = 2.6(10) = 26cm
New width = W' = 2.6(15) = 39cm
Hence the length of each sides of the dilated image are 26cm and 39cm
b) The new image will be similar to the given image but of with the resulting length gotten in (a).