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Alexeev081 [22]
1 year ago
5

JL is a diameter of circle K. if tangents to circle K are construvted through points L and J, what relationship would exist betw

een the two tangents? explian

Mathematics
1 answer:
Allisa [31]1 year ago
7 0
Check the picture below.

notice, the left-hand-side of the picture is the tangents segment theorem, both tangents are the same length and the point of tangency, in red, is always a right-angle, however note that they're touching a radius segment, not a diameter one, and the radii lines are slanted some.

notice the right-hand-side of the picture, the points of tangency at J and L are right-angles, and the two tangents at those points, will simply be parallel, and never touch each other.

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Each of 16 students measured the circumference of a tennis ball by four different methods, which were:Method A: Estimate the cir
lys-0071 [83]

Answer:

a) \bar X_A =22.744

\bar X_B =20.7

\bar X_C =21.013

\bar X_D =18.306

b) Median_A =\frac{23+24}{2}=23.5

Median_B =\frac{20.4+20.4}{2}=20.4

Median_C =\frac{21+21}{2}=21

Median_D =\frac{20.7+20.7}{2}=20.7

c) \bar X_A =23.25

\bar X_B =20.7

\bar X_C =21.04

\bar X_D =20.69

Step-by-step explanation:

Data given

Assuming the following data:

Method A: 18.0, 18.0, 18.0, 20.0, 22.0, 22.0, 22.5, 23.0, 24.0,24.0,25.0,25.0, 25.0,25.0,26.0,26.4

Method B: 18.8, 18.9, 18.9, 19.6, 20.1, 20.4, 20.4, 20.4, 20.4,20.5, 21.2. 22.0,22.0, 22.0,22.0,23.6

Method C: 20.2, 20.5, 20.5, 20.7, 20.8, 20.9, 21.0, 21.0,21.0,21.0, 21.0, 21.5,21.5,21.5,21.5,21.6

Method D: 20.0, 20.0, 20.0,-20.0, 20.2, 20.5, 20.5, 20.7, 20.7,20.7, 21.0, 21.1, 21.5, 21.6, 22.1,22.3.

Part a

The sample mean is defined as:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

If we apply this formula for the four methods we got:

\bar X_A =22.744

\bar X_B =20.7

\bar X_C =21.013

\bar X_D =18.306

Part b

Since the total number of points for each method is 16 and this is an even number we need to calculate the median as the average between the 8th and the 9th position of the data ordered from the smallest to the largest. If we do this we have that:

Median_A =\frac{23+24}{2}=23.5

Median_B =\frac{20.4+20.4}{2}=20.4

Median_C =\frac{21+21}{2}=21

Median_D =\frac{20.7+20.7}{2}=20.7

Part c

The trimmed mean by 20% means that we need to calculate removing the 20% from each of the tails, the 20% of 16 is 3.2, so we need to remove 3 observations from both ends of the data like this:

Method A: 20.0, 22.0, 22.0, 22.5, 23.0, 24.0,24.0,25.0,25.0, 25.0

Method B: 19.6, 20.1, 20.4, 20.4, 20.4, 20.4,20.5, 21.2. 22.0,22.0

Method C: 20.7, 20.8, 20.9, 21.0, 21.0,21.0,21.0, 21.0, 21.5,21.5

Method D: 20.0 20.2, 20.5, 20.5, 20.7, 20.7,20.7, 21.0, 21.1, 21.5.

If we calculate the mean for each method we got:

\bar X_A =23.25

\bar X_B =20.7

\bar X_C =21.04

\bar X_D =20.69

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1 year ago
PLEASE HELP! The avenues in a particular city run north to south and are numbered consecutively with 1st Avenue at the western b
AveGali [126]

Answer: D

Step-by-step explanation:

Just did it

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1 year ago
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The graph below represents the possible dimensions of a horse corral to be constructed behind a barn. The width of the corral is
alexira [117]

Answer:

I think its C

Step-by-step explanation:

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1 year ago
If DE = 4x + 10, EF = 2x-1, and DF = 9x-15, find DF
Dmitrij [34]
Hello,
<span>We have that:
(4x+10)+(2x-1)=9x-15

</span>We solve the equation:
4x+10+2x-1=9x-15;
6x+9=9x-15;
6x-9x=-15-9;
-3x=-24;
3x=24;

<span>from which
</span>x=24:3=8

<span>Then:
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bye :-)
5 0
2 years ago
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The data set shows the admission prices at several museums. $20, $20, $16, $12, $15, $25, $11 Find and interpret the range, inte
Gemiola [76]
11, 12, 15, 16, 20, 20, 25
Mean: 17

The range is 25-11 = 14 (the numbers in bold)

The interquartile range is 20-12=8 (the numbers underlined)

The mean absolute deviation is: 4; this is found by finding how far each number is from 17 (mean): 6,5,2,1,3,3,8  (28) and dividing by 7.

Part B:

The prices vary by no more that $14 (range).

<span>The middle half of the prices vary by no more than $8 (IQR).
</span>
<span>The admission prices differ from the mean price by an average of $4 (MAD).</span> 

8 0
1 year ago
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