How does a business determine the markup on a product or service?

A= [2, 3; 2, 1], B=[3; 5]. Find AB & BA if possible

oksano4ka [1.4K]

Answer:

The value of AB is $\left[\begin{array}{ccc}21\\11\end{array}\right]$ and it's not possible to multiply BA.

Step-by-step explanation:

Consider the provided matrices.

$A=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right]$ , $B=\left[\begin{array}{ccc}3\\5\end{array}\right]$

Two matrices can be multiplied if and only if first matrix has an order m × n and second matrix has an order n × v.

Multiply AB

Matrix A has order 2 × 2 and matrix B has order 2 × 1. So according to rule we can multiply both the matrix as shown:

$AB=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right] \left[\begin{array}{ccc}3\\5\end{array}\right]$

$AB=\left[\begin{array}{ccc}2\times 3+3\times 5\\2\times 3+1\times 5\end{array}\right]$

$AB=\left[\begin{array}{ccc}6+15\\6+5\end{array}\right]$

$AB=\left[\begin{array}{ccc}21\\11\end{array}\right]$

Hence, the value of AB is $\left[\begin{array}{ccc}21\\11\end{array}\right]$

Now calculate the value of BA as shown:

Multiply BA

Matrix B has order 2 × 1 and matrix A has order 2 × 2. So according to rule we cannot multiply both the matrix.

We can multiply two matrix if first matrix has an order m × n and second matrix has an order n × v.

That means number of column of first matrix should be equal to the number of rows of second matrix.

Hence, it's not possible to multiply BA.

5 0

3 years ago

Approximately 12.6% of all (untreated) Jonathan apples had bitter pit in a study conducted by the botanists Ratkowsky and Martin

bagirrra123 [75]

Answer:

Step-by-step explanation:

Let n be a random variable that represents the first Jonathan apple chosen at random that has bitter pit.

a) P(X = n) = q(n-1)p, where q = 1 - p.

From the information given, probability if success, p = 12.6/100 = 0.126

b) for n = 3, the probability value from the geometric probability distribution calculator is

P(n = 3) = 0.096

For n = 5, the probability value from the geometric probability distribution calculator is

P(n = 5) = 0.074

For n = 12, the probability value from the geometric probability distribution calculator is

P(n = 12) = 0.8

c) For n ≥ 5, the probability value from the geometric probability distribution calculator is

P(n ≥ 5) = 0.58

d) the expected number of apples that must be examined to find the first one with bitter pit is the mean.

Mean = 1/p

Mean = 1/0.126 = 7.9

Approximately 8 apples

7 0

3 years ago

Write two odd numbers and two even numbers explain how you know which numbers are even and which are odd

Free_Kalibri [48]

1 and 3 are odd while 2 and 4 are even. Odd numbers end in 1,3,5,7,9 while even numbers end in 0,2,4,6,8. Please Mark Brainliest!!!

6 0

3 years ago

an archaelogist in turkey discovers a spear head that contains 63% of its original amount of c-14. find the age of the spear hea

Akimi4 [234]

I got 4,620 years............

4 0

2 years ago

The accompanying data represent the actual amount (in mL) poured into a short, wide glass for individuals asked to pour 44.3 mL

kherson [118]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data below :

x : 89.3 68.6 32.7 37.3 39.7 46.7 66.1 79.4 66.4 52.1 47.3 64.4 53.7 63.4 46.2 63.0 92.1 57.6

Mean(m) = ΣX / n

ΣX = 1066 ; n = number of observations = 18

Mean(m) = 1066 / 18

Mean = 59.22

Standard deviation (σ) :

Using the online standard deviation calculator :

σ = √(Σ(x - m)²/n-1)

σ = √264.198395

σ = 16.72

The mean amount poured into a glass for the 18 samples is 59.22 while the variation in the data samples from the mean value is 16.72.

typical amount poured into a short, wide glass is 19.7 mL. A typical deviation from the mean amount poured is_____mL.

(59.22 - 19.7) mL = 39.52mL

Mean amount poured into a tall slender glass = 51.283

Mean (short wide glass) = 59.22mL

Mean (tall slender glass) = 51.283mL

Short wide glass > tall slender glass

4 0

2 years ago