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Harrizon [31]
2 years ago
6

Mary crocheted a rectangular blanket whose diagonal measures approximately 7.21 feet. What are the most likely length and width

measurements of the blanket ? Select the two correct answers.

Mathematics
1 answer:
mote1985 [20]2 years ago
8 0

Answer:

If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).

Step-by-step explanation:

We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.

The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:

a^2+b^2=h^2

Then, we can express one side in function of the other as:

a^2+b^2=h^2\\\\a^2=h^2-b^2\\\\a=\sqrt{h^2-b^2}=\sqrt{7.21-b^2}=\sqrt{52-b^2}

Then, if we define b, we get the value of a that satisfies the equation.

A graph of values of a and b is attached.

If both side a and b are integers, we can see in the graph that are only two solutions: (b=4, a=6) and (a=4, b=6).

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Answer:

C) Fail to reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

Options:

A) Fail to reject the claim that the mean temperature is equal to 43°F when it is actually 43°F.

B) Reject the claim that the mean temperature is equal to 43°F when it is actually 43°F.

C) Fail to reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

D) Reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

Explanation:

The null hypothesis H0: µ=43°F (a true mean temperature maintained by refrigerator is equal to 43°)

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A type II error does not reject null hypothesis H0 when it is false.  Therefore, the type II error for the test fails to reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

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