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3 years ago

The points (4,- 4) and (4,- 6) lie on a circle with a radius of 1. Find the center point of the circle.

1 answer:

6 0

If we intersect the circle of radius 1 around (4,-4) and the circle of radius 1 around (4,-6) they'll intersect at the center of circle radius 1 that has both those points.

Here we don't really have to do any math. It's clear that the midpoint (4,-5) is 1 away from both (4,-4) and (4,-6) so that's our answer:

Answer: (4,-5)

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Various problems with data collection can cause some observations to be missing. Suppose a data set has 20 cases. Here are the v

mr Goodwill [35]

Answer:

a) Mean= 15, standard deviation= 5.1575

b) Mean= 15, standard deviation= 3.6469

c) See below

Step-by-step explanation:

(a) Compute the mean and standard deviation for the 10 cases for which x is not missing.

The mean using the ten known values is

$\bar x=\frac{17+6+12+14+20+23+9+12+16+21}{10}=15$

The standard deviation is

$\small s=\sqrt{\frac{(17-15)^2+(6-15)^2+(12-15)^2+(14-15)^2+(20-15)^2+(23-15)^2+(9-15)^2+(12-15)^2+(16-15)^2+(21-15)^2}{10}}=5.1575$

(b) Create a new data set with 20 cases by using imputation where you set the values for the 10 missing cases equal to the mean that you computed in the previous part. Compute the mean and standard deviation for this new data set with 20 cases.

The new data set would be

17, 6, 12, 14, 20, 23, 9, 12, 16, 21, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15

The new mean for this set of values would be then

$\bar x=\frac{\displaystyle\sum_{i=1}^{20}x_i}{20}=15$

The new standard deviation is now

$s=\sqrt{\frac{\displaystyle\sum_{i=1}^{20}(x_i-\bar x)^2}{20}}=3.6469$

(c) Summarize what you have learned about the possible effects of this type of imputation on the mean and the standard deviation.

Obviously, this way of imputation is somewhat arbitrary and will produce a set of data undoubtedly skewed.

It could possibly be a sensible way of imputing data if the amount of missing data is very little compared to the whole set, for example one or two data in a set of 100, but in this case we have 50% of missing data and it makes no sense this procedure.

4 0

3 years ago

Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold t

mezya [45]

Answer:

- -20 = 20

Step-by-step explanation:

The "opposite" here means we take the negative of -20 C.

So we can write - -20 which is equal to 20.

So the first option is correct, - -20 = 20.

6 0

3 years ago

PLEASE HELP

SVEN [57.7K]

Answer:

B: c^11

Step-by-step explanation:

Separate the equation:

c^14/c^6 + c^3/c^6

c^14-6 + c^3/c^6 = c^8 + c^3/c^6

c^8 + c^3-6

c^8 + c^-3

Turn the -3 positive

The final equation = c^8+c^3

Therefore, c^11 is the correct answer.

3 0

3 years ago

Read 2 more answers

Which number represents the sum of -8 and -i?<br> 0 87<br> O -87<br> O --8-7<br> 0 -8 +7

mafiozo [28]

Answer:

-8+i

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

35 POINTS! PLEASE HELP MEEE!!! HURRY PLEASE IM RUNNING OUT OF TIME!!!!!!!!!!!!!!!!!

lesantik [10]

Answer:

<h2>CYLINDER</h2>

Surface Area = 471.2 cm^2

<h2>TRIANGULAR PRISM</h2>

Surface Area = 60.75 m^2

Step-by-step explanation:

<h2>CYLINDER</h2>

The surface area formula for a cylinder is π x diameter x (diameter / 2 + height), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius x 2 x (radius + height). ( π =3.14 )

FORMULA:

π x 5 x 2 x 15

WORK:

π x 5 = 15.7

15.7 x 2 = 31.4

31.4 x 15 = 471

<h2>TRIANGULAR PRISM</h2>

The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base.

FORMULA:

2 x (2.5 x 1.5/2) + (6 x 4) + (6 x 4) + (6 x 1.5)

WORK:

(2.5 x 1.5) = 3.75/2 = 1.875

1.875 x 2 = 3.75

(6 x 4) = 24

(6 x 1.5) = 9

3.75 + 24 + 24 + 9 = 60.75

5 0

3 years ago

Read 2 more answers