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Zigmanuir [339]
2 years ago
10

Find the resultant matrix ~

Mathematics
1 answer:
aev [14]2 years ago
4 0

                    \left[\begin{array}{ccc}5\\3\\2\end{array}\right] \times[5 \ \ \ 3 \ \ \ 2]

Matrix multiplications are defined if the number of columns in the first matrix is equal to the number of rows in the second matrix.

                    \bf{\left( \begin{array}{rrr} 5  \\ 3  \\ 2  \end{array}\right) \ \ (5 \ \ 3 \ \ 2)}

Multiply the first element of the array by the first element of the second array to get the element of the first row of the first column in the product array.

                    \bf{\left( \begin{array}{rrr} 5\times5 &  &  \\  &  &  \\  &  &  \end{array}\right)}

The remaining elements of the product matrix are obtained in the same way.

                        \bf{ \left( \begin{array}{rrr} 5\times5 & 5\times3 & 5\times2 \\ 3\times5 & 3\times3 & 3\times2 \\ 2\times5 & 2\times3 & 2\times2 \end{array}\right) }

Simplify each item by multiplying the individual terms.

                                 \left( \begin{array}{rrr} 25 & 15 & 10 \\ 15 & 9 & 6 \\ 10 & 6 & 4 \end{array}\right)

\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}

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<img src="https://tex.z-dn.net/?f=f%20%3D%28x%29%20%3D%20%5Cfrac%7Bx%7D%7B4%7D%20" id="TexFormula1" title="f =(x) = \frac{x}{4}
Inga [223]

Answer:

g(x) = \frac{x+3}{x-3}

Step-by-step explanation:

From the picture attached,

Given function is,

f(x) = x + 1

We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 = \frac{2x}{(x-3)}

g(x) = \frac{2x}{(x-3)}-1

      = \frac{2x-(x-3)}{(x-3)}

      = \frac{(x+3)}{(x-3)}

Therefore, g(x) = \frac{x+3}{x-3} will be the answer.

5 0
2 years ago
The tip percentage at a restaurant has a mean value of 18% and a standard deviation of 6%.
irakobra [83]

Answer:

a. 0.8366

b. No

Step-by-step explanation:

We will use the central limit theorem which can be applied to a random sample from any distribution as long as the mean and the variance are both finite and the sample size is large (the sample size n should be greater than 30). Here we have that the tip percentage at the restaurant has a mean value of 18% and a standard deviation of 6%, then because of the central limit theorem, we know that the sample mean tip percentage is approximately normally distributed with mean 18% and standard deviation 6/\sqrt{40}%=0.9487%.

a. The z-score related to 16% is given by (16-18)/0.9487 = -2.1081 and the z-score related to 19% is given by (19-18)/0.9487 = 1.0541. We are looking for P(16 < \bar{X} < 19) = P(-2.1081 < Z < 1.0541) = P(Z < 1.0541)- P(Z < -2.1081) = 0.8540 - 0.0175 = 0.8366

b. If the sample size had been 15 rather than 40, then, the probability requested in part (a) could not be calculated from the given information, this because the central limit theorem only applies when the sample size is large, for example n > 30.

8 0
3 years ago
A right rectangular prism is packed with cubes of side length 1/2 inch. If the prism is packed with 5 cubes along the length, 3
lesya [120]
The answer is C 11 1/4 or 11.25 Cubic inches
6 0
3 years ago
5.
tresset_1 [31]
A and D because it is basically saying 3:36 so when you simplify it comes down to 1:12
8 0
2 years ago
Read 2 more answers
Work out the value of 5x8 x 5-2/5x4
Alisiya [41]

Answer:

=6

Step-by-step explanation:

(5×8)×(5-2)/(5×4)

Numerator =40×3

=120

Denominator = 5×4

=20

simplifying 120/20

=6

5 0
2 years ago
Read 2 more answers
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