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SIZIF [17.4K]
3 years ago
5

Use the map shown below to find the distance between cities A and B to the nearest tenth.

Mathematics
2 answers:
Maslowich3 years ago
7 0

Answer:

<h2>The distance is 4.5 units.</h2>

Step-by-step explanation:

We could find the distance with the formula:

d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^{2} }

From the graph, we see that points have these coordinates:

A(0;0)\\B(-2;4)

Where A is the first point (x_{1};y_{1} ) and B is the second point (x_{2} y_{2})

Replacing these coordinates, we have:

d=\sqrt{(-2}-0)^{2} +(4-0)^{2} }

d=\sqrt{4+16}

d=\sqrt{20} \approx 4.5

Therefore, the distance is 4.5 units.

WARRIOR [948]3 years ago
5 0

i believe the answer is 4.47, hope this helps

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2 years ago
Question Help The mean finish time for a yearly amateur auto race was 185.64 minutes with a standard deviation of 0.314 minute.
Inga [223]

Answer:

Sam has the more convincing victory with a greater Zscore value

Step-by-step explanation:

Given that :

Year 1:

Mean finish time (m) = 185.64

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Sam's time (x1) = 185.29

Year 2:

Mean finish time (m) = 110.3

Standard deviation (s) = 0.129

Rita's time (x1) = 110.02

Zscore = (x - mean) / standard deviation

Sam's Zscore :

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5 0
2 years ago
5#The distribution of scores on a standardized aptitude test is approximately normal with a mean of 480 and a standard deviation
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We want to find the value that makes

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Then, using the z-score we can find the minimum score needed, remember that

z=\frac{x-\mu}{\sigma}

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And in our example, x = minimum score needed, therefore

\begin{gathered} 0.84=\frac{x-480}{105} \\  \\ x=0.84\cdot105+480 \\  \\ x=568.2 \end{gathered}

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7 0
1 year ago
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