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3 years ago

7

A plane traveled for a total of 1,190 miles over the course of 5 hours. Heading east, the plane traveled at an average speed of

266 miles per hour, and heading north, it traveled at an average speed of 196 miles per hour. For how many hours was the plane heading east?

1 answer:

bezimeni [28]3 years ago

8 0

Two equations are:
Te is time east
Tn is time north

Te + Tn = 5 hours
266Te +196Tn = 1190 is the distance equation

Solve these two equations and
Te = 3 hours and Tn= 2 hours

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Answer: Bajo del Gualicho has a higher elevation than Lago Enriquillo.

Step-by-step explanation:

Since in this case the "elevations" are negative because are under sea level, we can call it depth.

In this sense, we are given the "elevations" or depths of two places:

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Answer:

$(a)\ \bar x_1 - \bar x_2 = 2.0$

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Step-by-step explanation:

Given

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This is calculated as: $\bar x_1 - \bar x_2$

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Solving (b): 90% confidence interval

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$1 - \alpha = 0.90$

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$z_{\alpha/2} = z_{0.10/2}$

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The endpoints of the confidence level is:

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$2.0 \± 1.645 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}$

$2.0 \± 1.645 * \sqrt{\frac{4.41}{60}+\frac{9}{35}}$

$2.0 \± 1.645 * \sqrt{0.0735+0.2571}$

$2.0 \± 1.645 * \sqrt{0.3306}$

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$(2.0 - 0.9458) \to (2.0 + 0.9458)$

$(1.0542) \to (2.9458)$

Hence, the 90% confidence interval is:

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We have:

$c = 95\%$

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Confidence level is: $1 - \alpha$

$1 - \alpha = c$

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$z_{\alpha/2} = z_{0.025}$

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$z_{\alpha/2} = z_{0.025} =1.96$

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