which of the following could be points on the unit circle?

Answer:

Step-by-step explanation:

In each case, square the coordinates of the point and determine whether or not the sum of these squares is 1:

A)  4/9 + 5/9 = 9/9  YES

B)  1 + 1 = 2 NO

C) 3/4 + 1/9 Not equal to 1.  NO

D) 0.64 + 0.36 = 1.00 YES

HENCE OPTION B(1,1) IS CORRECT

What is unit circle?

A unit circle is a circle with a radius of one, as defined by mathematics. The unit circle is a circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane, which is used frequently in trigonometry.

How to solve?

Clearly from the given options (1,1 ) will lie on the circle , Hence option b (1,1) is correct .

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Maria has two routes, E and W, she can take when commuting to work. Both routes go through a railroad crossing, and sometimes she needs to stop at the crossing to allow trains to pass. She claims that the proportion of times she needs to stop when taking route E is different from the proportion of times she needs to stop when taking route W. She conducted the following hypothesis test at the significance level of α=0.10.

H0: pE=pW
Ha: pE≠pW
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The p -value is greater than alpha , and the null hypothesis is not rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is the same for the different routes.

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The p -value is greater than alpha , and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

The p-value is greater than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

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