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2 years ago

7

The hypotenuse of a right triangle is 6 feet long. One leg is 2 feet longer than the other. Find the length of each leg to the n

earest hundredth of a foot.

1 answer:

Gemiola [76]2 years ago

8 0

Here is a diagram explaining the information

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3 years ago

Two towns, Ancaster and Dundas, are 4 km and 6 km, respectively, from an old railroad line that has been made into a bike trail.

serg [7]

Okay, so first you draw a picture and let x be the distance from point D to the rest stop. Then the distance from point to the rest stop is 8 - x

You know that the length of the new trail is y + z, where y is the distance from Ancaster to the rest stop and z is the distance from Dundas to the rest stop.

Now by the Pythagorean theorem, y^2 = 4^2 + x^2 and z^2 = 6^2 + (8 - x) ^2

So take square roots of these, add them, and minimize.

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2 years ago

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A company has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one

Mila [183]

Answer:

The test hypothesis is :

$H_0: \mu=1502.5\\ H_a: \mu>1502.5$

Step-by-step explanation:

Consider the provided information.

Null hypothesis refer the population parameter is equal to the claimed value.

If there is no statistical significance in the test then it is know as the null which is denoted by $H_0$ , otherwise it is known as alternative hypothesis which denoted by $H_a$ .

The historical average lifetime for cartridges produced by the current process is 1502.5 pages.

Hence, the test hypothesis is :

$H_0: \mu=1502.5\\ H_a: \mu>1502.5$

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Anton [14]

7/4 because you simplify

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2 years ago