Is there a relationship between gender and relative finger length? To find out, we randomly selected 452 U.S. high school students who completed a survey. The two-way table summarizes
the relationship between gender and which finger was longer on the left hand (index finger or
ring finger). Suppose we randomly select one of the survey respondents. Define R: ring finger longer and F: female.Find P(R | F). Interpret this value in context.

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Ответ:

abbydamaso1097

17.05.2023

Mathematics

The value of x is 1.

Step-by-step explanation:

Given,

$-2\begin{bmatrix}x &-1 \\ 3 & 5\end{bmatrix}+\begin{bmatrix}3 & 8 \\ -1 & 6\end{bmatrix}=\begin{bmatrix}x & 10 \\ -7 & -4\end{bmatrix}$

$\implies \begin{bmatrix}-2x &2 \\ -6 & -10\end{bmatrix}+\begin{bmatrix}3 & 8 \\ -1 & 6\end{bmatrix}=\begin{bmatrix}x & 10 \\ -7 & -4\end{bmatrix}$

$\implies \begin{bmatrix}-2x+3 &2+8 \\ -6-1 & -10+6\end{bmatrix}=\begin{bmatrix}x & 10 \\ -7 & -4\end{bmatrix}$

$\implies \begin{bmatrix}-2x+3 &10 \\ -7 & -4\end{bmatrix}=\begin{bmatrix}x & 10 \\ -7 & -4\end{bmatrix}$

By comparing first element of first row of both sides,

We get,

-2x + 3 = x

-2x - x = -3

-3x = - 3

⇒ x = 1

Hence, the value of x is 1.

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