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3 years ago

What’s the correct answer

Mathematics

1 answer:

Julli [10]3 years ago

8 0

$A=\left[\begin{array}{ccc}-1\\4\\4\end{array}\right] \\\\F=\left[\begin{array}{ccc}0&-2\end{array}\right] \\\\A\cdot F=\left[\begin{array}{ccc}-1\\4\\4\end{array}\right] \cdot\left[\begin{array}{ccc}0&-2\end{array}\right] =\left[\begin{array}{ccc}(-1)(0)&(-1)(-2)\\(4)(0)&(4)(-2)\\(4)(0)&(4)(-2)\end{array}\right]\\\\=\left[\begin{array}{ccc}0&2\\0&-8\\0&-8\end{array}\right]$

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Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon

Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

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The formula to find the standard deviation is given by :-

$\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}$

First we find mean of the given data ,

$\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44$

Now,

${\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2$

$=1+1+1+1=4$

Now, standard deviation of the above results will be :-

$\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82$

Hence, the standard deviation of these results = 0.82 miles per gallon

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4 years ago

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3 years ago

134 A financial analyst believes that if interest rates decrease in a given period then the

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To learn more about probability, please check: brainly.com/question/13234031

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2 years ago

determine whether the infinite geometric series converges or diverges. if it converges find its sum. 3-3/4+3/16-3/64+...

Luba_88 [7]

Simplify the expression.
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3 years ago

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yanalaym [24]

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4 years ago