Which statement is true about this data set? {43, 46, 48, 57, 42, 47, 48, 44, 46, 45, 48}
a.42 and 57 are both outliers because
b.42 is less than the lower fence and 57 is greater than the upper fence.
c.42 is an outlier because it is less than the lower fence.
this data set has no outliers.
d57 is an outlier because it is greater than the upper fence.

Option D.

Step-by-step explanation:

The given data set is

43, 46, 48, 57, 42, 47, 48, 44, 46, 45, 48

Arrange the data in ascending order.

42, 43, 44, 45, 46, 46, 47, 48, 48, 48, 57

Divide the data in 4 equal parts.

(42, 43), 44, (45, 46), 46, (47, 48), 48, (48, 57)

The interquartile rage is

Lower fence:

Upper fence:

If the data lie outside the lower and upper fence, then that element is known as outliers.

57 is an outlier because it is greater than the upper fence.

Therefore, the correct option is D.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.