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3 years ago

What does it mean if a statistic is resistant? choose the correct answer below.

1 answer:

4 0

When we say a statistic is resistant, we mean the extreme values do not affect the statistic to a large extent or to an extent which makes a major difference. Mean and median are example of such statistics. By changing the extreme values we do not see a substantial difference in the value of mean and median for the data set.

Consider a sample: 1,2,3,4,4,5,6,7,8
The median for this data set is 4.
If we change the extreme values to get this sample: -5,2,3,4,4,5,6,7,100
The median will still be the same i.e. 4. This is what is meant by a resistant statistic.

So option a is the correct ans.

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Find a third-degree polynomial function with real coefficients and with zeros at -4 and -3 5i

Charra [1.4K]

If -3+5i is a solution, then by the conjugate root theorem, -3-5i is also a solution. We find the polynomial by multiplying together the factors. If x = -4, then x + 4 is the factor. If x = -3+5i, then (x-(-3+5i)) is a factor, and so is (x-(-3-5i)). Simplifying those down gives us as the first factor as (x+3-5i) and the second as (x+3+5i). We can FOIL those 2 together to get their product, and then FOIL in x+4. FOILing the 2 complex factors together gives us $x^2+3x+15ix+3x+9+15i-15ix-15i-25i^2$ . If we combine like terms and cross out things that cancel it's much easier than what it looks like there! It simplifies down to $x^2+6x-25i^2$ . Since i^2 = -1, it simplifies further to $x^2+6x-25(-1)$ and finally, to $x^2+6x+25$ . Now we will FOIL in x+4. $(x^2+6x+25)(x+4)=x^3+6x^2+25x+4x^2+24x+100$ . Our final simplified third degree polynomial is $x^3+10x^2+49x+100$

3 0

3 years ago

Solve the following for x

levacccp [35]

Answer:

x = 9

Step-by-step explanation:

50+80+(6x-4)=180 (ANGLE SUM PROPERTY)

130 +(6x-4)=180

6x-4=180-130

6x-4=50

6x=50+4

x=54/6

x = 9

4 0

3 years ago

Andy has a collection of movie dvds. in andys collection 3/5 of the dvds are action 1/4 of the dvds are comedy. andy said that 4

Lerok [7]

If 3/5 are action and 1/4 are comedy then:

(3/5)+(1/4) are action or comedy

To add/subtract fractions you need a common denominator...

(3/5)*(4/4)+(1/4)(5/5)

(12/20)+(5/20)

17/20

So 17/20 (85%) of his collection are action or comedy not 4/9...

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3 years ago

In the diagram, the measures of angle 3 and angle 6 are 50 degrees. The measure of angle 5 is 130 degrees. Are lines c and d par

Virty [35]

9514 1404 393

Answer:

Step-by-step explanation:

Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.

We expect angles 5 and 6 to be supplementary because they are a linear pair. That fact says nothing about the relationship of line d to line c.

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2 years ago

The tubs are similar in shape.

faltersainse [42]

Answer:

The tube are similar in shape.

The height of the small tub is 5 cm.

The volume of the small tube is 150 cm3.

The volume of the large tub is 500 cm3.

Work out the height of the large tub.

Give your answer correct to 3 significant figures.

Step-by-step explanation: Hope this help(:

3 0

9 months ago

Read 2 more answers

What does it mean if a statistic is​ resistant? choose the correct answer below.

What does it mean if a statistic is resistant? choose the correct answer below.