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stepladder [879]
4 years ago
8

An airplane took 2 hours to fly 600 km against a head wind. The retrun trip with the wind took 1 and two thirds hours. Find the

speed of the plane in stll air.
Mathematics
1 answer:
Snezhnost [94]4 years ago
4 0

330 km/hr

Step-by-step explanation:

To find speed of the plane against the headwind;

600 km / 2 hours = 300 km/hr

Speed of plane with the wind in its back;

600 km / 5/3 hours = 600 * 3/5 = 360 km/hr

We can create a simultaneous equation from this data.

Assume the speed on pane in still air is x km/h

Assume the speed of wind is y km/h

Therefore;

x – y = 300

x + y = 360

Solving the simultaneous equation by elimination gives us;

x – y = 300

-

x + y = 360

=

-2y = - 60

y = 30

x = 330

The speed of the plane without wind is;

= 330 km/hr

The wind speed is;

= 30 km/hr

Learn More:

brainly.com/question/3841552

brainly.com/question/12397541

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Answer:

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Step-by-step explanation:

y = 3.7x + 442 ----› Eqn. 1

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Substitute y = (3.7x + 442) into eqn. 2.

y = 14.4x + 312 ----› Eqn. 2

3.7x + 442 = 14.4x + 312

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3.7x - 14.4x = -442 + 312

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The solution to the system is rounded to the nearest integer:

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Answer:

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A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were c
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(A.)test statistic for this test using Ha: p8くPN is Z = -2.164 (B.) p-value (3 decimal places) is 0.015. (C.) Based on this p-value, which of the following would you expect for a 95% is negative. (D.) the correct conclusion is The proportion of Boston drivers wearing seat was significantly lower than the proportion of new York drivers wearing seat belts.

A.)

According to given data find the test statistic for this test using Ha:

p1 = 0.581

p2 = 0.832

standard error = SE = 0.116

<h3>Test statistics :-</h3>

Z = \frac{p1 - p2}{SE}

Z = \frac{0.581 - 0.832}{0.116} = -2.164

Z = -2.164

B.)

According to given Determine the p-value (3 decimal places).

<h3>p - value</h3>

it is left tailed test.

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C.)

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PB - PNY  is negative.

D.)

According to given data What is the correct conclusion?

Reject null hypothesis at α = 0.05

so, P_{B} < P_{NY}

Hence, The proportion of Boston drivers wearing seat was significantly lower than the proportion of new York drivers wearing seat belts.

know more about test statics visit this link

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