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lorasvet [3.4K]
2 years ago
13

A police unit has deployed a tracking system on a highway with a speed limit of 65 mph. A driver passes through one radar detect

or at 2pm and is traveling 60 mph at that moment. Then, the driver passes through a second radar detector 159 miles away at 4pm, again traveling 60 mph at that moment. However, a speeding ticket is being issued for this driver. When he asked for an explanation, the response was “Mean Value Theorem." Explain. Your report should include:
i- Detailed explanation about the mean value theorem.
ii- Detailed calculation steps.​
Mathematics
1 answer:
chubhunter [2.5K]2 years ago
6 0

Answer:

Detailed calculation steps.​

Step-by-step explanation:

Yes its Detailed calculation steps.​

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Transfer transfer the system of equations by forming a matrix equation.
Anika [276]

Answer:

Step-by-step explanation:

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Since, \begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}

And A^{-1}A=I

\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\-1 \end{bmatrix}

\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}35\\ -21\end{bmatrix}

\begin{bmatrix}x\\y \end{bmatrix}=\begin{bmatrix}5\\ -3\end{bmatrix}                

Therefore, x = 5 and y = -3 will be the value of variables.

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3 years ago
A six sided die is rolled 4 times. find the probability that a 2 or 3 is rolled at least once. round your answer to two decimal
goblinko [34]

The probability that a 2 or 3 is rolled at least once is 0.14.

<h3>Probability of not rolling a 2 or 3 in a single die roll of two dice</h3>

when a six die is rolled once there is 11/12 probability of not rolling 2 or 3.

rolling a six sided die two times, p(2 or 3)' = 11/12

rolling a six sided die four times, p(2 or 3)'  = (11/12)² = 121/144

the probability that a 2 or 3 is rolled at least once is calculated as follows;

P = 1 - p(2 or 3)'

P = 1 - 121/144

P = 20/144

P = 0.14

Thus, the probability that a 2 or 3 is rolled at least once is 0.14.

Learn more about probability here: brainly.com/question/24756209

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