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4 years ago

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

Mathematics

2 answers:

Zinaida [17]4 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]4 years ago

6 0

Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

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masha68 [24]

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3 years ago

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Plssss help what is x

makvit [3.9K]

Answer:

x = 4

Step-by-step explanation:

If you do not want to read the explanation go the the next part in bold

Ok so the shorter leg of the triangle is a radius of the circle. ( This is indicated by the point in the middle of the circle.) for the hypotenuse we are given one part of the length (2) The other part also happens to be a radius ( remember that a radius is a line that starts from the center of the triangle to any point of the circumference. ) Also remember that the radius is equal to 3. That being said the hypotenuse = 2+3 which equals 5.

This triangle then happens to be a right triangle. ( A triangle formed by a tangent line and a radius is a right triangle.) This means that we can use the Pythagorean theorem to solve for x.

Below here is where the work is shown

a² + b² = c². where a and b = legs and c = hypotenuse. We are given the hypotenuse (5) and a leg (3) So we plug in what we are given and solve for the missing information. 5² = 3² + b²

5² = 25

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we would then have 25 = 9 + b²

Next we subtract 9 from each side

25 - 9 = 16

9 - 9 cancels out

Now we have 16 = b²

finally we want to get rid of the ²

To do so we take the square root of each side

$\sqrt{16}=4\\\sqrt{b^2}=b\\b = 4$

we're left with b = 4 which means that x = 4

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