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Georgia [21]
3 years ago
5

Which of the following statements are true? Select all that apply.

Mathematics
2 answers:
Zinaida [17]3 years ago
7 0

Answer:

(A) and (D)

Step-by-step explanation:

The true statements are:

(A) The mean is affected by outliers (because presence of outliers always affect the mean of the data set).

(D) If a data set’s distribution is skewed, then 95% of its values will fall between two standard deviations of the mean. (It is known from Chebyshev's Theorem that this is true for any set, skewed or not).

The not true statements are:

(B) The mean is always a more accurate measure of center than the median. (As there can be an extremely large outlier, For example consider the set {1,2,3,4,9845}, the median is a more accurate measure of the center).

(C) Removing an outlier from a data set will cause the standard deviation to increase. (This is because an outlier raises the variance which raises the standard deviation, thus removing an outlier lowers the standard deviation).

(E) If a data set’s distribution is skewed to the right, its mean will be larger than its median. (This is generally true, there can be sets of numbers that doesn't hold here).

cupoosta [38]3 years ago
6 0

Answer:

Step-by-step explanation:

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Which inequality is equivalent to x-6/x+5≥x+7/x+3?
yawa3891 [41]
To find equivalent inequalities you have to work the inequality given.

The first step is transpose on of sides to have an expression in one side and zero in the other side:

  x - 6        x + 7
--------- ≥  --------
  x + 5       x + 3

=>

  x - 6          x + 7
--------- -  --------   ≥ 0
  x + 5       x + 3

=>

 (x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
          (x + 5) (x + 3)

=>

 x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
         (x + 5) (x + 3)

           15x + 53
-     -------------------   ≥ 0
       (x + 5) (x + 3)

That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
4 0
3 years ago
Read 2 more answers
I am having a conflict with my family what is 7-1×0+3÷3 = ?
ryzh [129]
Follow PEMDAS.

Parenthesis
Exponents
Multiplication & Division
Addition & Subtraction

Alright, do multiplication first, then division. Then, do subtraction then addition.

7-1*0+3/3= \\ 7-0+3/3= \\ 7 - 0 + 1= \\ 7 + 1 = 8 \\ 7-1*0+3/3 =8

Hope this helped!
6 0
3 years ago
Jada jumped rope for 15 mins.. what percentage of diegos time is that? (diegos time is 20 mins)
8_murik_8 [283]

Answer:

103 percent

just divide 20 by 15 and multiply the answer by 100 to convert to percentage form bro

4 0
2 years ago
Answer quickly please
KIM [24]

The correct answer is C.


You can tell this by factoring the equation to get the zeros. To start, pull out the greatest common factor.


f(x) = x^4 + x^3 - 2x^2


Since each term has at least x^2, we can factor it out.


f(x) = x^2(x^2 + x - 2)


Now we can factor the inside by looking for factors of the constant, which is 2, that add up to the coefficient of x. 2 and -1 both add up to 1 and multiply to -2. So, we place these two numbers in parenthesis with an x.


f(x) = x^2(x + 2)(x - 1)


Now we can also separate the x^2 into 2 x's.


f(x) = (x)(x)(x + 2)(x - 1)


To find the zeros, we need to set them all equal to 0


x = 0


x = 0


x + 2 = 0

x = -2


x - 1 = 0

x = 1


Since there are two 0's, we know the graph just touches there. Since there are 1 of the other two numbers, we know that it crosses there.

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3 years ago
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Which State is directly east of North Dakota
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The state that is directly north to north docoda is Minnesota
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