The Answer is C
R is (2,-1)
2*2=4
-1*2=-2
2r=(4,-2)
t=(-7,5)
-7-4=-11
5-(-2)=5+2=7
t-r=(-11,7)
Since we are multiplying r by two, we have to multiply its x and y values by two to be 2r
With t-2r, we have to subtract 2r's x value from t's x value and 2r's y value fro t's y value to get the x value -11 and the y value 7
Therefore, the x and y values for the answer is -11 and 7, and to put them in the proper form required, which is (x,y), input -11 into x's spot and 7 in y's spot, giving you and answer of (-11,7)
There are 12 inches in a foot so 2ft.
Answer:
8ft is the diameter so the radius would be half of that, so it's 4ft. Now substitute
now solve 4^2=16 now multiply it by 3.14 (pi). 16×3.14= 50.24
Answer:
90°
Step-by-step explanation:
The angle between the vectors can be found any of several ways. Here, we observe that the segments from the origin to the two points are at right angles to each other. (Their slopes are opposite reciprocals.) Hence the angle between the vectors is 90°.
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The slope to point 'a' is y/x = 2/1 = 2.
The slope to point 'b' is y/x = (-1/2)/1 = -1/2.
The product of these slopes is (2)(-1/2) = -1, indicating the vectors are perpendicular. The angle between them is 90°.
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We can also use the trig formula for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangents are the slopes, calculated above, so we have ...
tan(α -β) = (2 -(-1/2))/(1 +(2)(-1/2)) = (5/2)/0 = <em>undefined</em>
The tangent is <em>undefined</em> for angles that are odd multiples of 90°. The angle between the vectors is 90°.
<span>The normal approximation to a binomial can be used for a significance test on the population proportion p if np > 15.
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<span>a. n = 10 and H0: p = 0.4. => np = 10(0.4) = 4 [can not be used]
b. n = 100 and H0: p = 0.6. => np = 100(0.6) = 60 [can be used]
c. n = 1000 and H0: p = 0.996. => np = 1000(0.996) = 996 [can be used]
d. n = 500 and H0: p = 0.3.</span> => np = 500(0.3) = 150 [can be used0