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Natasha2012 [34]
3 years ago
8

Based on the data set shown, which of the following is a true statement?

Mathematics
2 answers:
nata0808 [166]3 years ago
8 0

Answer: A.) mean = mode

Step-by-step explanation:

The given data : -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3

Number of terms = 11

\text{Mean=}\dfrac{\text{Sum of all observations}}{\text{Number of observations}}\\\\\Rightarrow\ \text{Mean=}\dfrac{11}{11}=1\\\\\Rightarrow\ \text{Mean=}1

Since the data is already arranged in order.

Median = Middle-most value=1

Hence, Mean=Median

Mode = Most repeated observation=1

i.e. Mean=Median=Mode

Ilya [14]3 years ago
7 0
Mean: 1
Mode; 1
Media: 1

Your answer is A.

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Write an equivalent expression by distributing the "-−" sign outside the parentheses:
charle [14.2K]

Answer:

6.6a+6b-7.1

Step-by-step explanation:

-(-6.6a-6b)-7.1\\\\=-(-6.6a)-(-6b)-7.1\\\\=6.6a+6b-7.1

7 0
3 years ago
1The volumes of two similar prisms are 972 cm3 and 36 cm3. The surface area of the larger prism is 594 cm2.
diamong [38]

Answer:

Part 1)

The scale factor of the smaller prism to the larger prism is 3

or

The scale factor of the larger prism to the  smaller prism is 1/3

Part 2) The surface area of the smaller prism is 66 square centimeters

Step-by-step explanation:

Part 1) What is the scale factor for the similar figures?

we know that

If two figures are similar, then the ratio of their volumes is equal to the scale factor raised to the cube

Let

z ----> the scale factor

x ---> volume of the larger prism

y ---> volume of the smaller prism

so

z^3=\frac{x}{y}

we have

x=972\ cm^3\\y=36\ cm^3

substitute

z^3=\frac{972}{36}

Simplify

z^3=27\\z=3

therefore

The scale factor of the smaller prism to the larger prism is 3

or

The scale factor of the larger prism to the  smaller prism is 1/3

Part 2) What is the surface area of the smaller prism?

we know that

If two figures are similar, then the ratio of their surface areas is equal to the scale factor squared

Let

z ----> the scale factor

x ---> surface area of the larger prism

y ---> surface area of the smaller prism

so

z^2=\frac{x}{y}

we have

x=594\ cm^2

z=3

substitute

3^2=\frac{594}{y}

solve for y

y=\frac{594}{9}=66\ cm^2

therefore

The surface area of the smaller prism is 66 square centimeters

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3 years ago
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Step-by-step explanation:

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Vanyuwa [196]
1 ticket = $41
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3 years ago
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dimaraw [331]

Answer:

EF = 10

Step-by-step explanation:

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