Mean is the average of the data set, which is found by adding all values together and then dividing that sum by the number of data values.
Median is the middle number of the data set, and can be found by ordering the values from least to greatest. If there are two middle numbers, the average of the two would be the median.
Mode is the number that shows up most frequently in the data set.
Range is found by subtracting the lowest number from the highest number in the data set.
<u>Set 1</u>
Mean:
18+20+22+11+19+18+18=126
126÷7=18
Median:
11, 18, 18, 18, 19, 20, 22 → 18
Mode: 18
Range: 22-11=11
<u>Set 2</u>
Mean: 23+27+24+26+26+24+26+24=200
200÷8=25
Median:
23, 24, 24, 24, 26, 26, 26, 27 → 24+26=50 → 50÷2=25
Mode: 24 and 26
Range: 27-23=4
Answer:
5/12
Step-by-step explanation:
3 + 5 = 7
12/12 - 7/12 = 5/12
We know that<span>
<span>Figures can be proven similar if one, or more,
similarity transformations (reflections, translations, rotations, dilations)
can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a
translation and a scale factor (from a dilation) will be found to map one
circle onto another.
we have that</span>
<span> Circle 1 is centered at (5,8) and has a
radius of 8 centimeters
Circle 2 is centered at (1,-2) and has a radius of 4 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the
center of the circle 2
the transformation has the following rule</span>
(x,y)--------> (x-4,y-10)
so
(5,8)------> (5-4,8-10)-----> (1,-2)
so
center circle 1 is now equal to center circle 2
<span>The circles are now concentric (they have the
same center)
</span>
step 2
<span>A dilation is needed to decrease the size of
circle 1 to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle
1-----> 4/8----> 0.5
radius circle 1 will be=8*scale factor-----> 8*0.5-----> 4 cm
radius circle 1 is now equal
to radius circle 2
<span>A
translation, followed by a dilation will map one circle onto the other,
thus proving that the circles are similar
the answer is
</span></span>The circles are similar because you can translate Circle 1 using the transformation rule (x-4,y-10) and then dilate it using a scale factor of (0.5)
Answer:
7 - 16 = 9 x 4 = 36
Step-by-step explanation: 1 - 16 7 times. 9 + 9 + 9 + 9 = 36
