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Readme [11.4K]
3 years ago
5

A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of great oaks trail is 4.5 cm on this m

ap. The scale from the same park to a different map is 24 mi to 3 cm. The length of salamander trail is 3.5 cm on that map. Which is the longer trail, great oaks trail or salamander trail?
Mathematics
1 answer:
mina [271]3 years ago
7 0

Answer:

Salamander trail is longer than great oaks trail.

Step-by-step explanation:

We have the data from two different maps of the same park.

In the first map the length of great oaks trail is 4.5 cm

The scale from the park to the map is 36 mi to 6 cm ⇒

We can find the real length of great oaks trail writing the following equivalence :

\frac{36mi}{6cm}=\frac{x}{4.5cm}

Where x is the real length of great oaks trail ⇒

x=\frac{(36mi).(4.5cm)}{6cm}=27mi

We find that the real length of great oaks trail is 27 mi

In the second map the length of salamander trail is 3.5 cm

The scale from the park in the second map is 24 mi to 3 cm.

Again we can find the real length of salamander trail writing the equivalence :

\frac{24mi}{3cm}=\frac{y}{3.5cm}

Where y is the real length of salamander trail ⇒

y=\frac{(24mi).(3.5cm)}{3cm}=28mi

We find that the real length of salamander trail is 28 mi.

Therefore salamander trail is longer than great oaks trail.

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Answer:

a) 99.97%

b) 65%

Step-by-step explanation:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

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• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

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μ - 3σ

98.35 - 3(0.64)

= 96.43°F

μ + 3σ.

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= 100.27°F

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b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?

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