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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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There are 380 students and 20 teachers.

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The length of a rectangle is equal to triple the width. What are the dimensions of the rectangle if the perimeter is 88cm.

suter [353]

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3 years ago

If ZFRO = 60 and RFO = 86 Find the measure of 2 FOG<br> R Help pleaseee

tigry1 [53]

Answer:

149°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

<FRO + <RFO = <FOG

60° + 86 = 146

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3 years ago

Rationalize the denominator of 4/14 root 2?

Katarina [22]

First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

$\dfrac{4}{14\sqrt{2}} = \dfrac{2\cdot 2}{2\cdot 7\cdot\sqrt{2}} = \dfrac{2}{7\sqrt{2}}$

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.

To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

$\dfrac{2}{7\sqrt{2}} = \dfrac{2}{7\sqrt{2}}\cdot 1 = \dfrac{2}{7\sqrt{2}} \cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{2\sqrt{2}}{7\cdot 2} = \dfrac{\sqrt{2}}{7}$

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3 years ago

A living room measures 24 feet by 15 feet. An adjacent square dining room measures 13 feet on each side. If carpet costs $6.98 p

blsea [12.9K]

Answer:

total cost of putting carpet in both rooms is $3692.42

Step-by-step explanation:

given data

living room length = 24 feet

living room width = 15 feet

dining room is square so length and width will be same

dining room length = 13 feet

dining room width = 13 feet

carpet costs = $6.98 per square foot

to find out

what is the total cost of putting carpet in both rooms

solution

first we find the total area of both room that is

area of living room = length × width .................1

area of living room = 24 × 15

area of living room = 360 feet² ...........................2

and

areas of dining room = length × width

area of dining room = 13 × 13

area of dining room = 169 feet² ...............................3

so total area = add equation 1 and 2

total area = 360 feet² + 169 feet²

total area = 529 feet²

and

total cost of putting carpet in both rooms are = total area × carpet costs .................4

put here value

total cost of putting carpet in both rooms = 529 × $6.98

total cost of putting carpet in both rooms =$3692.42

6 0

4 years ago