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3 years ago

A dragonfly can fly up to 36 miles per hour

Mathematics

1 answer:

Marysya12 [62]3 years ago

5 0

True, A dragonfly can fly up to 36 miles per hour.

Answer: True

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HELP A.S.A.P!!!! The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the ou

kolezko [41]

When the outlier is removed The mean would increase.

Step-by-step explanation:

Outliers are the value that lies outside the set of data. i.e. the data doesn't fit in the group.

Removing outliers can affect mean more than median. Because outlier removal sometimes affect the median but in a small percentage or sometimes it will remain the same.

Let us prove, consider 16 values one with 78 and other 15 with values nearly 85, 84 that will give the mean value as 84.

78, 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85.

Mean = $\frac{Sum of the values}{Number of values}$ .

Mean = $\frac{78+84+82+86+84+85+83+86+82+85+84+83+86+85+86+85}{16}$ .

Mean = $\frac{1344}{16}$ .

Mean = 84.

Remove 78 from the data set then the data set is 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85 and number of data is reduced to 15.

Mean = $\frac{84+82+86+84+85+83+86+82+85+84+83+86+85+86+85}{15}$ .

Mean = $\frac{1266}{15}$ .

Mean = 84.4.

The mean is increased.

8 0

2 years ago

( x + 2 )^2 - ( y + 2 )^2

GarryVolchara [31]

The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:

$a^2-b^2 = (a+b)(a-b)$

So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.

In this case, the squares are obvious: $(x+2)^2$ is the square of $x+2$ , and $(y+2)^2$ is the square of $y+2$

So, we can factor the expression as

$(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)] - [(x+2)+(y+2)]$

(the round parenthesis aren't necessary, I used them only to make clear the two terms)

We can simplify the expression summing like terms:

$(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)][(x+2)-(y+2)] = (x+y+4)(x-y)$

3 0

2 years ago

Which of the following are roots of the following polynomial x^3-11x^2+33x+45

Mandarinka [93]

For x^3-11x^2+33x+45 , we can make it an equation so x^3-11x^2+33x+45=0. Next, we can find out if -1 or -3 is a factor. If -1 is a factor, than (x+1) is factorable. Using synthetic division, we get

x^2-12x+45
___ ________________________
x+1 | x^3-11x^2+33x+45

- (x^3+x^2)
_________________________
-12x^2+33x+45
- (-12x^2-12x)
______________
45x+45
-(45x+45)
___________
0

Since that works, it's either B or D. We just have to figure out when
 x^2-12x+45 equals 0, since there are 3 roots and we already found one. Using the quadratic formula, we end up getting (12+-sqrt(144-180))/2=
(12+-sqrt (-36))/2. Since sqrt(-36) is 6i, and 6i/2=3i, it's pretty clear that B is our answer

8 0

3 years ago

What is the equation of a parabola with vertex (0,0) and focus (0,4)? Draw its graph on the grid

svp [43]