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Stolb23 [73]
3 years ago
5

A ramp is used to load suitcases on an airplane. If the cargo door is 7 feet from the ground and the angle formed by the end of

the ramp and the ground is 25, how long is the ramp?

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

Answer: 16.56\ ft

Step-by-step explanation:

You must draw a right triangle as the one attached, where "x" is the lenght  in feet of the ramp.

You need to use the following Trigonometric Identity:

sin\alpha=\frac{opposite}{hypotenuse}

In this case you can identify that:

\alpha =25\°\\\\opposite=7\\\\hypotenuse=x

Now you must substitute these values into sin\alpha=\frac{opposite}{hypotenuse}:

sin(25\°)=\frac{7}{x}

Finally, you must solve for "x" in order to find its value.

This is:

sin(25\°)=\frac{7}{x}\\\\xsin(25\°)=7\\\\x=\frac{7}{sin(25\°)}\\\\x=16.56

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Answer: Obviously you pay 20% if they pay 80%. You would pay $2019.60

Step-by-step explanation:

If they pay 80% take that a subtract it from $10908.00 and 20% should be $2019.60

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Marlin bought 4 ham sandwiches and 2 bags of chips for $22.50 . If the chips cost $0.75 per bag how much did each sandwich cost
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first work out the value of 2 bags of chips which is: 0.75 + 0.75 = 1.50p

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since what is left (21) is how much 4 ham sandwiches cost we can just divide 21 by 4 which is 5.25

so each sandwich costs 5.25 pounds

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Write the equation for the following table:<br> X. Y. <br> 0 3<br> 1 7<br> 2 11<br> 3 15
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y = 4x + 3

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The equation of the table of values given can be written as y = 4x + 3 .

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Let's try another.

When x = 2,

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A researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic
Delvig [45]

Answer:

90% confidence interval for the population mean iron concentration is [0.771 , 0.832].

Step-by-step explanation:

We are given that a researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic meter with a standard deviation of 0.093.

Firstly, the pivotal quantity for 90% confidence interval for the population mean iron concentration is given by;

         P.Q. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean iron concentration = 0.802 cc/cubic meter

             s = sample standard deviation = 0.093

             n = number of water samples = 27

             \mu = population mean

<em>Here for constructing 90% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 90% confidence interval for the population mean, \mu is ;

P(-1.706 < t_2_6 < 1.706) = 0.90  {As the critical value of t at 26 degree of

                                                 freedom are -1.706 & 1.706 with P = 5%}

P(-1.706 < \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } < 1.706) = 0.90

P( -1.706 \times {\frac{s}{\sqrt{n} } } < {\bar X - \mu} < 1.706 \times {\frac{s}{\sqrt{n} } } ) = 0.90

P( \bar X -1.706 \times {\frac{s}{\sqrt{n} } < \mu < \bar X +1.706 \times {\frac{s}{\sqrt{n} } ) = 0.90

<u>90% confidence interval for</u> \mu = [ \bar X -1.706 \times {\frac{s}{\sqrt{n} } , \bar X +1.706 \times {\frac{s}{\sqrt{n} } ]

                                                 = [ 0.802 -1.706 \times {\frac{0.093}{\sqrt{27} } , 0.802 +1.706 \times {\frac{0.093}{\sqrt{27} } ]

                                                 = [0.771 , 0.832]

Therefore, 90% confidence interval for the population mean iron concentration is [0.771 , 0.832].

4 0
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