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4 years ago

T= [4 2]

Mathematics

2 answers:

Ulleksa [173]4 years ago

6 0

Answer:

$a_{13}$

Step-by-step explanation:

The address of an element is the row and column number of the element in the matrix.

If the matrix is $\left[\begin{array}{ccc}4&2\\5&0\\11&-1\\8&3\end{array}\right]$

Then element 11 is row 3 and column 1. Its address is the column followed by the row. 11 is $a_{13}$ .

Nina [5.8K]4 years ago

3 0

$\bf T= \begin{bmatrix} 4&2\\5&0\\\underset{row~3,col~1}{11}&-1\\8&3 \end{bmatrix}\impliedby \textit{11 is at 3,1}$

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3 years ago

The sale price of a bicycle is $130 this is 60% of the original price. find the original price

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3 years ago

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The probability that a person is accepted for admission to a specific university is 0.6. Determine the probability that exactly

frozen [14]

Answer: the probability that exactly two of the next five people who apply to that university get accepted is 0.23

Step-by-step explanation:

We would number of people that applies for admission at the university and gets accepted. The formula is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - p) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 0.6

q = 1 - p = 1 - 0.6

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n = 5

the probability that exactly two of the next five people who apply to that university get accepted is

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P(x = 2) = 0.23

8 0

3 years ago

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What is one possible solution for the triangle below?

elixir [45]

Answer:

segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°

Explanation:

1) Given two side lenghts and one angle you can use sine law:

$\frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c}$

2) Using the sides with length 43 in and 40in, and the corresponding opposite angles, Z and 68°, that leads to:

$\frac{sinZ}{43} = \frac{sin68}{40}$

From which you can clear sinZ and get:

sinZ = 43 × sin(68) / 40 = 0.9967

⇒ Z = arcsine(0.9967) ≈ 85.36°

3) The third angle can be determined using 85.36° + 68° + X = 180°

⇒ X = 180° - 85.36° - 68° = 26.64°.

4) Finally, you can apply the law of sine to obtain the last missing length:

$\frac{x}{sin(26.64)} = \frac{40}{sin(68)}$

From which: x = 40 × sin(26.64°) / sin(68°) = 19.34 in

The answer, then is:
segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°

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3 years ago

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