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zzz [600]
3 years ago
15

Sora was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 108, 113, 105, 118, 124,

121, 109 Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 61 How is the mean affected by an outlier? The outlier did not affect the mean at all. The outlier made the mean higher than all the other values. The outlier made the mean lower than all the other values. The mean is centered around all the other numbers in both sets of data.
Mathematics
2 answers:
gladu [14]3 years ago
8 0

The outlier (61) is at the low end of the data set, but doesn't affect the mean by a lot, so ...

The mean is centered among the other numbers in both sets of data.

_____

The mean without the outlier is 114. With the outlier, it is 107.4. The lower quartile is 108, so the mean does get moved outside the "box" of the box-and-whisker plot of the data set without the outlier.

Nikitich [7]3 years ago
6 0

Answer:

The approved answer is wrong the answer was it was lower than all the others. I took the test

Step-by-step explanation:

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Identify each function as a constant, direct variation, absolute value, or greatest integer function.
Anton [14]
None of those describe this function.

It's not a constant function, because it is not equal to a constant (something that isn't a variable)

It doesn't show direct variation, because it can't be represented in the form
y = kx.

It isn't an absolute value function because the absolute value isn't taken anywhere.
If it was an absolute value function it would look something like this:
g(x) = |x+3|

It isn't a greatest integer function, because the greatest integer isn't taken anywhere.
If it was a greatest integer function it would look something like this:
g(x) = \left \lfloor{x + 3}\right \rfloor

Are you sure you typed that question right?
7 0
3 years ago
An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh
natima [27]

Answer:

Speed of the plane in still air: 779\; {\rm km \cdot h^{-1}}.

Windspeed: 100\; {\rm km \cdot h^{-1}}.

Step-by-step explanation:

Assume that x\; {\rm km \cdot h^{-1}} is the speed of the plane in still air, and that y\; {\rm km \cdot h^{-1}} is the speed of the wind.

  • When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be (x - y)\; {\rm km \cdot h^{-1}}.
  • When this plane is travelling in the same direction as the wind, the ground speed of this plane would be (x + y)\; {\rm km \cdot h^{-1}}.

The question states that when going against the wind (v = (x - y)\; {\rm km \cdot h^{-1}},) the plane travels 6111\; {\rm km} in 9\; {\rm h}. Hence, 9\, (x - y) = 6111.

Similarly, since the plane travels 7911\; {\rm km} in 9\; {\rm h} when travelling in the same direction as the wind (v = (x + y)\; {\rm km \cdot h^{-1}},) 9\, (x + y) = 7911.

Add the two equations to eliminate y. Subtract the second equation from the first to eliminate x. Solve this system of equations for x and y: x = 779 and y = 100.

Hence, the speed of this plane in still air would be 779\; {\rm km \cdot h^{-1}}, whereas the speed of the wind would be 100\; {\rm km \cdot h^{-1}}.

3 0
1 year ago
6870000000000000 scientific notation
hjlf

Answer:

6.87 x 10^15

Step-by-step explanation:

6.87 * 10^15 = 6870000000000000

Hope this helps :)

P.S. Message me if this is wrong

P.P.S Hope you have a great day!

8 0
2 years ago
Select all number that fall between 7 and 8
Aliun [14]

Answer:

7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, and 7.9

Step-by-step explanation:

There is no whole number, but there are decimals that fall in between 7 and 8.

~theLocoCoco

6 0
3 years ago
Solve the following equation by factoring 2x^2-5x-12=0
Korolek [52]
Answer: x = 4 and x = -3/2

Procedure:

1) Given: 2x^2 - 5x - 12 = 0

2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0

3) Rearrange: (2x)^2 -5(2x) - 24 = 0

4) Notice that the common factor is (2x)

5) Set the parenthesis with the common factor inside:

(2x     ) (2x     ) =0

6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)

(2x - )(2x + ) = 0

7) find two numbers that sum up - 5x and its product is -24.

- 8 + 3 = - 5
(-8)(+3) = -24

=> the numbers in the factors are -8 and +3

(2x - 8) (2x + 3) = 0

That is the factored equation. Now you can solve

8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4

b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2

Answer: the two solutions are x = 4 and x = -3/2
8 0
3 years ago
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