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PilotLPTM [1.2K]
3 years ago
7

Two trains, Train A and Train B, weigh a total of 407 tons. Train A is heavier than Train B. The difference of their weight is 2

49 tons. What is the weight of each train
Mathematics
1 answer:
alexira [117]3 years ago
5 0

Answer:

A = 328 tons, B = 79 tons.

Step-by-step explanation:

A + B = 407

A - B = 249

Cancel b out of the equation, then add the rest.

2A = 656, A=328 tons

A + B = 407, B = 407-328

B = 79 tons

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A 90% confidence interval for the mean height of students
Westkost [7]

Answer:

ME= \frac{69.397-60.128}{2}= 4.6345 \approx 4.635

And the best answer on this case would be:

b) m = 4.635

Step-by-step explanation:

Let X the random variable of interest and we know that the confidence interval for the population mean \mu is given by this formula:

\bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}

The confidence level on this case is 0.9 and the significance \alpha=1-0.9=0.1

The confidence interval calculated on this case is 60.128 \leq \mu \leq 69.397

The margin of error for this confidence interval is given by:

ME =t_{\alpha/2} \frac{s}{\sqrt{n}}

Since the confidence interval is symmetrical we can estimate the margin of error with the following formula:

ME = \frac{Upper -Lower}{2}

Where Upper and Lower represent the bounds for the confidence interval calculated and replacing we got:

ME= \frac{69.397-60.128}{2}= 4.6345 \approx 4.635

And the best answer on this case would be:

b) m = 4.635

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3 years ago
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castortr0y [4]
28/7 =4
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6 0
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Brooke is flying a kite while standing 50 m from the base of a tree at the park. Her Chi is directly above the 10 m tree in the
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Answer:

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Step-by-step explanation

In the question instead of chi, it would be kite.

Given: Distance of Brooke from the base of tree is 50 meters.

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Lets assume the height of the kite be "x".

Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.

Using Pythagorean formula:

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Next, we know the value of x include the height of tree.

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⇒ Height of kite flying above tree= 114.127-10= 104.127\ m

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